Tool path generation module for forming stylus tool design and for 3-axis computer numerical control manufacturing process

文档序号:1936365 发布日期:2021-12-07 浏览:25次 中文

阅读说明:本技术 形成触针刀具设计和用于3轴计算机数控制造工艺的刀具路径生成模块 (Tool path generation module for forming stylus tool design and for 3-axis computer numerical control manufacturing process ) 是由 M·C·埃尔福德 A·J·E·斯蒂芬 于 2021-04-16 设计创作,主要内容包括:形成触针刀具设计和用于3轴计算机数控制造工艺的刀具路径生成模块。提供了一种刀具路径生成方法,由此刀具可以是任何平滑的凸形轴对称形状。该刀具包括在柄与头部之间延伸的刀具主体。柄被构造为安装在夹头中,可选地,夹头可旋转。在触针刀具的情况下,头部具有用于挤压金属的轴对称成形面。在槽刨刀具的情况下,头部具有由平滑的凸形轴对称表面包络的切削面,并且该刀具用于铣削零件。在至少一个实施方式中,该刀具是具有从回旋曲线的一部分生成的成形面的触针刀具。(A stylus tool design and tool path generation module for a 3-axis computer numerically controlled manufacturing process is formed. A tool path generation method is provided whereby the tool may be of any smooth convex axisymmetric shape. The tool includes a tool body extending between a shank and a head. The shank is configured to be mounted in a chuck, which is optionally rotatable. In the case of a stylus tool, the head has an axisymmetric contoured face for extruding metal. In the case of a router bit, the head has a cutting face enveloped by a smooth convex axisymmetric surface and the bit is used for milling parts. In at least one embodiment, the tool is a stylus tool having a contoured face generated from a portion of a clothoid.)

1. A stylus cutter (200) for forming a part (102), the stylus cutter (200) comprising:

a shank (204), the shank (204) being configured to be coupled to a collet (150) for positioning of the stylus tool (200); and

a head (206) extending between a base (210) and a tip (212) at the shank (204), the head (206) having a contoured face (220) between the base (210) and the tip (212), the contoured face (220) being axisymmetric (208) and defined by rotating a curved profile (222) about an axis (208) of the shank (204), a curvature of the curved profile (222) varying linearly with a curved length of the curved profile (222) of the contoured face (220).

2. The stylus cutter (200) according to claim 1, wherein the curved profile (222) of the contoured face (220) is non-circular.

3. The stylus tool (200) according to any of claims 1-2, wherein the curved profile (222) of the contoured face (220) is a portion (102) of a clothoid.

4. The stylus cutter (200) according to any of claims 1 to 3, wherein the curved profile (222) has a radius of curvature which decreases from the tip (212) to the base (210).

5. The stylus tool (200) according to any of claims 1 to 4, wherein the curved profile (222) is defined by the equation R x L A, where R is a radius of curvature, L is a curvilinear distance from the tip (212) along the curved profile (222), and A is a scaling factor.

6. The stylus cutter (200) according to any of claims 1 to 5, wherein the head (206) comprises a flat surface (226) at the tip (212), the curved profile (222) extending between the flat surface (226) and the base (210).

7. A tool path generation method for generating a tool path using a stylus tool (200) using a tool path generation module (12) of a part forming machine (100), the tool path generation method comprising the steps of:

inputting a part shape (126) of a part (102) to be manufactured;

inputting a tool shape (122) of the stylus tool based on a contoured surface (220) of a head (206) of the tool defined by a curved profile (222) between a tip (212) of the head and a base (210) of the head, a curvature of the curved profile (222) varying linearly with a curve length of the curved profile of the contoured surface;

determining a tool offset face (402) for the part shape based on the tool shape; and

generating the tool path for forming the part based on the tool offset face.

8. The tool path generation method of claim 7, wherein the step of inputting the tool shape comprises inputting a diameter of the base into the tool path generation module.

9. The tool path generation method according to any one of claims 7 to 8, wherein the step of determining the tool offset plane comprises determining the tool offset plane at a plurality of contact points (410) of a part.

10. The tool path generation method of claim 9, wherein determining the tool offset plane comprises:

defining a vertical plane (412) through the part at each of the plurality of contact points, wherein the plane further contains a normal to the part at the each contact point to define a part curve (414) of the part in the vertical plane;

calculating a derivative of the part curve at each of the plurality of contact points; and

for each contact point of the plurality of contact points, determining a point on the curved profile that generates the forming surface of the tool having the same derivative value as the respective contact point.

11. The tool path generation method of claim 10, wherein generating the tool path comprises generating a tool path between specified points on the tool offset plane corresponding to desired tool contact points to form the tool path.

12. The tool path generation method according to any one of claims 7 to 10, wherein the step of determining the sheet offset plane comprises adding a fixed offset to each contact point based on a sheet thickness of a sheet used to form the part.

13. A parts forming machine (100), the parts forming machine (100) comprising:

a collet (150);

a tool positioner (160), the tool positioner (160) operatively coupled to the collet to move the collet in a three-dimensional workspace;

a controller (104), the controller (104) operatively coupled to the tool positioner for controlling the position of the collet in the workspace, the controller comprising a tool path generation module for generating a tool path for forming a part; and

a stylus tool (200), the stylus tool (200) being coupled to the collet for forming the part, the stylus tool comprising a tool body (202) extending between a shank (204) coupled to the collet and a head (206) extending between a base (210) and a tip (212) at the shank, the head having a profiled face (220) between the base and the tip, the profiled face being axisymmetric for forming the part, the profiled face being defined by a curved profile (222) having a curvature, the curved profile (222) being differentiable and delimiting a convex region,

wherein the tool path generation module determines the tool path of the stylus tool based on a tool shape of the stylus tool defined by the contoured surface.

14. The parts forming machine of claim 13, wherein the tool shape is any one of a plurality of different tool shapes, wherein the tool path generation module determines the tool path of the stylus tool based on a tool dimension (124) in addition to the tool shape (126) of the stylus tool defined by the forming face, the tool dimension being any one of a plurality of different tool dimensions for a given tool shape, and wherein the head includes a flat surface at the tip, the curved profile extending between the flat surface and the base.

15. The part forming machine of any of claims 13-14, wherein the curved profile that generates the forming face is non-circular, wherein a curvature of the curved profile that generates the forming face varies linearly with a length of a curve that generates the curved profile of the forming face, and wherein the curved profile that generates the forming face is part of a clothoid.

Technical Field

The subject matter herein relates generally to stylus tool (stylus tool) for forming parts and tool path generation for 3-axis Computer Numerical Control (CNC) manufacturing operations.

Background

A stylus tool is used in a part manufacturing process to form a part from metal. For example, in a progressive sheet forming process, a stylus cutter is pressed against a metal sheet as it moves in three dimensions to form a part. It is known that stylus cutters are spherical stylus cutters having a hemispherical profiled face with a semi-circular cross-section. However, known stylus cutters are not without disadvantages. For example, stylus cutters are known to generate significant "cast plate pits" (curled regions adjacent to the contact point) due to the large forces at the contact point with the metal plate and the shape of the forming face.

In general, standard methods for calculating the tool path of a stylus tool are computationally expensive and time consuming to perform. For example, the offset surface may be generated using a discrete Minkowski sum, from which the tool path is derived, which is computationally expensive and time consuming to perform.

Disclosure of Invention

It is described to provide a stylus tool for forming a part. The tool includes a tool body extending between a shank and a head. The shank is configured to be coupled to the collet. The head extends between the base and the tip of the shank. The head has a contoured face between the base and the tip. The contoured surface is an axisymmetric surface created by rotating the curved profile about the axis of the stylus stem, whereby the curved profile has a curvature that increases linearly with the path length from the tip.

As further described, a router tool for milling a part is provided. The tool includes a tool body extending between a shank and a head. The shank is configured to be coupled to the collet. The head extends between a base at the handle and a tip. The head has a cutting face between the base and the tip. The cutting face is enveloped by an axisymmetric surface generated by rotating a curved profile about the axis of the tool shank, whereby the curved profile has a curvature that increases linearly with path length from the tip.

As further described, a tool path generation method using a tool path generation module of a part shaping or milling machine is provided to generate a tool path using a stylus tool or router. The tool path generation method includes inputting a part shape of a part to be formed or milled. The method inputs the tool shape of the tool based on a shaped or cut face of the head of the tool between the tip of the head and the base of the head. The tool shape from tip to head is generated by rotating the smooth curved profile about the axis of the tool shank such that a convex tool head is generated.

As further described, the tool path generation method generates a tool path using a tool path generation module of a part-forming machine or milling machine for forming (using a stylus tool) or milling (using a router). The tool path generation method includes inputting a part shape of a part to be manufactured. The method is based on inputting the tool shape of the tool from a stylus or a profiled or cutting face of the head of the router tool defined by a curved profile between the tip of the head and the base of the head. The curved profile is differentiable and defines a convex region. The forming face is axisymmetric for forming the part or the cutting face is axisymmetric for cutting the part. The method inputs a tool size of a base of a head of a stylus tool. The method determines a tool offset plane for the part shape based on the tool shape and the tool size, and generates a tool path for forming or cutting the part based on the tool offset plane and the part shape.

As further described, a 3-axis computer numerically controlled machine tool is provided. The machine tool may be programmed for milling or shaping. The machine tool includes a chuck that is moved in a three-dimensional work space by a tool positioner. A controller is operatively coupled to the tool positioner for controlling the position of the collet in the workspace. The controller includes a tool path generation module for generating a tool path for shaping or milling of the part. A tool is coupled to and moves with the collet for forming or milling a part. The tool includes a tool body extending between a shank and a head. A shank is coupled to the collet. The head extends between the base and the tip of the shank. The head has a contoured or cutting surface between the base and the tip. The contoured or cutting surfaces are axisymmetric for forming or milling the part. The shaped or cutting face is defined by a curved profile that is differentiable and bounds a convex region. The tool path generation module determines a tool path of a forming or milling tool based on a tool shape of the tool defined by the forming face or the cutting face.

As further described, a 3-axis computer numerically controlled machine tool is provided. The machine tool includes a chuck that is moved in a three-dimensional work space by a tool positioner. The controller is operatively coupled to the motor for moving the tool positioner for controlling the position of the collet in the workspace. The controller includes a tool path generation module for generating a tool path for forming or milling a part. A stylus or cutting tool is mounted in and moves with the chuck for forming or milling a part. The tool includes a tool body extending between a shank and a head. The shank is mounted in the collet. The head extends between a base at the handle and a tip. The head has a contoured or cutting surface between the base and the tip. The forming or cutting face is axisymmetric for forming or milling the part. The contoured or cutting face is defined by rotating the smoothly curved profile about the axis of the tool shank such that the tool head defines a convex region. The tool path generation module determines a tool path of a tool based on a tool shape of the tool defined by the shaping face or the cutting face.

As further described, the shape of the forming or cutting face of the tool is defined by rotating the parametrically defined curve such that the radius (distance from the axis of rotation) and height (distance from the tool tip along the axis) are smooth functions about an axis of a single parameter that bounds the convex region. For example, an elliptical head may be defined such that the radius is given by r (t) sin (t) and the height is given by z (t) 2cos (t), 0< t < pi/2.

Drawings

Fig. 1 illustrates a part forming machine that forms a part by forming using a stylus tool according to an embodiment.

Fig. 2 shows a portion of a part forming machine according to an embodiment, showing a stylus tool.

Fig. 3 shows a portion of a part forming machine according to an embodiment, showing a stylus tool.

Fig. 4 shows a set of stylus cutters according to an embodiment.

Fig. 5 shows a part of a stylus tool according to an embodiment.

Fig. 6 shows a part of a stylus tool according to an embodiment.

Fig. 7 shows a set of stylus cutters according to an embodiment.

FIG. 8 illustrates a method of generating a tool path using a tool path generation module of a part forming machine.

FIG. 9 illustrates a model of a tool path for a part, according to an embodiment.

FIG. 10 is an enlarged view of a portion of a model of a tool path for a part, according to an embodiment.

FIG. 11 illustrates a model of a tool path for a part, according to an embodiment.

Fig. 12 is a graph illustrating a tool offset plane determined by the tool path generation module according to an embodiment.

Detailed Description

Fig. 1 shows a part forming machine 100 according to an embodiment for forming a part 102 by forming using a stylus tool 200. In various embodiments, the part forming machine 100 may be a progressive sheet forming machine that forms parts by a progressive sheet forming process; however, in alternative embodiments, other types of machines using other manufacturing processes (e.g., shear spinning or milling) may be provided. The part forming machine 100 includes a controller 104 that controls the operation of the other components of the part forming machine 100. The controller 104 includes a computer 106 including a user interface 108 coupled to the computer 106. The user interface 108 includes a display 110 and a user input 112, such as a keyboard, mouse, or other user input device. The controller 104 includes a tool path generation module 120 for generating a tool path for forming the part 102 during the forming process. In various embodiments, the part forming machine may be a CNC machine. The part-forming machine 100 may use a backing support or die to support the part during forming. As in two-point progressive sheet forming, the backing support may be a female support die or a male support die. In other various embodiments, the part-forming machine 100 may not use a backing support die, as in single progressive sheet forming. The part-forming machine may be used for double-sided progressive sheet forming using two stylus cutters 200.

The part-forming machine 100 includes a chuck 150 that holds a stylus tool 200. The collet 150 may hold the stylus tool 200 in a vertical orientation; however, in alternative embodiments, the collet may hold the stylus tool 200 in other orientations (e.g. horizontally). The collet 150 may be positioned above the part for forming the part from above. However, in alternative embodiments, the collet 150 may be located below the part for forming the part from below. In various embodiments, the collet 150 may be rotatable. For example, the collet 150 may be coupled to a spindle that is rotated by a motor 152. The motor 152 is operatively coupled to the controller 104 and may be controlled based on input from the controller 104, such as controlling on/off, rotational speed, rotational direction, and the like. The motor 152 may be a stepper motor, a servo motor, or another type of motor. In an alternative embodiment, the stylus cutter 200 is a non-rotating stylus cutter. In these embodiments, the part forming machine 100 may not be provided with the motor 152. In further embodiments, the stylus tool 200 may be a cutting tool, such as a router for milling.

The part forming machine 100 includes a tool positioner 160 that is operated to move the collet 150 and stylus tool 200 in a three-dimensional workspace for forming the part 102. In an embodiment, tool positioner 160 includes an X positioner 162, a Y positioner 164, and a Z positioner 166. For example, X positioner 162 may be a saddle or bracket that is slidable on a rail to position motor 152 and collet 150 in the X direction, Y positioner 164 may be a saddle or bracket that is slidable on a rail to position motor 152 and collet 150 in the Y direction, and Z positioner 166 may be a saddle or bracket that is slidable on a rail to position motor 152 and collet 150 in the Z direction. In alternative embodiments, other types of tool positioners 160 may be used. For example, in other various embodiments, the tool positioner 160 may be a multi-axis positioner, such as a robotic arm. Tool positioner 160 is operatively coupled to controller 104 and is controllable based on the tool path generated by tool path generation module 120.

The stylus cutter 200 includes a cutter body 202 extending between a shank 204 and a head 206. The handle 204 and the head 206 may be a unitary structure. The shank 204 and the head 206 extend along a tool axis 208. The shank 204 is mounted in the collet 150. The shank 204 has a shank diameter configured to be loaded into the collet 150. The head 206 extends between a base 210 and a tip 212 of the handle 204. The tip 212 is disposed at the bottom of the tool body 202 along the tool axis 208. The shaft diameter of the base 210 may be equal to the shank diameter or may be greater or less than the shank diameter.

The head 206 has a contoured face 220 between the base 210 and the tip 212. As the stylus tool moves along the tool path, the forming surface 220 is pressed against the sheet material to form the part. Surface 220 may be a cutting face for cutting a part, such as in a milling process. The cutting face is enveloped by an axisymmetric surface generated by rotating the curved profile about the axis of the tool shank. Contoured surface 220 is defined by a curved contour 222. For example, the forming surface 220 is a surface of revolution generated by revolving the curved profile 222 about the axis 208. The curved profile 222 is differentiable (e.g., smooth). The curved profile 222 may be continuous. The curved profile 222 may be uninterrupted. The curved profile 222 defines a convex region of the head 206. The forming surface 220 is axisymmetric about the tool axis 208. In an embodiment, the curvature of the curved profile 222 varies linearly with the curve length of the curved profile 222 of the forming surface 220. The curved profile 222 may have a radius of curvature that decreases from the tip 212 to the base 210. For example, the curved profile 222 may be a portion of a clothoid. The curved profile 222 may be defined by the formula R x L a, where R is the radius of curvature, L is the length along the length of the curve, and a is a scaling factor. In various embodiments, the curved profile 222 is non-circular. For example, the curved profile 222 may be a portion of a rounded rectangle, or generated from a parabola, ellipse, cycloid curve, or may be defined by other non-circular shapes such as a power-law curve. Some non-hemispherical cutters may improve the overall geometric accuracy of the formed part. In an embodiment, the part forming machine 100 uses a stylus tool defined by a shape having a parametric profile. The part forming machine 100 is configured to use different types of stylus cutters 200 having forming faces 220 generated from different profile curves 222 (e.g., different shapes and different sizes). The part forming machine 100 is capable of generating tool paths for a variety of different styles of stylus tools 200. In various embodiments, the curve may be delayed from the tool axis 208, for example including a flat surface at the tip 212, and then transition to the curved profile 222. The curved profile 222 may extend between the flat surface and the base 210.

The tool path generation module 120 generates a tool path for forming the part 102 using the stylus tool 200. The tool path is based on the shape of the part 102 being formed. The tool path is based on the size and shape of the contoured face 220 of the stylus tool 200. The size and shape of the forming surface 220 may be selected to improve the part geometry of the part 102, for example, to reduce or minimize "cast plate sag" and spring back effects typically observed in progressive sheet forming processes. The size and shape of the forming surface 220 may be selected based on the shape of the part 102 (e.g., the slope of the surface of the part 102, the curvature of the surface of the part 102, etc.).

Tool path generation module 120 includes tool shape input 122, tool size input 124, and part shape input 126. The tool path generation module 120 may include other inputs such as a tip curve delay input 130, a sheet thickness input 132, a feed rate input 134, a tool path direction input 136, a tool path step size input 138, or other inputs. The tool path generation module 120 determines the tool offset plane of the stylus tool 200 from the desired part shape. The tool offset plane may be affected by tool shape, tool size, sheet thickness, etc.

The tool shape input 122 is based on the shape of the curved profile 222 defining the contoured face 220 of the stylus tool 200. The tool shape input 122 may include a menu of different tool shapes that may be selected by the user at the user interface 108, or may include an input into a text box at the user interface 108. For example, the tool shape may be selected from a list of tool shapes including those generated by rotating a portion of a circle, a portion of a clothoid, a portion of a rounded rectangle, a portion of a parabola, a portion of a power law curve, a portion of an ellipse, or other smooth curve that defines a convex region. The tool path generation module 120 includes a mathematical formula associated with a tool shape for generating a tool path. The mathematical formula may be implicit, explicit, parametric, etc.

The tool size input 124 is based on the size of the contoured face 220 of the stylus tool 200. The tool size input 124 may include a menu or input box to identify the tool size of the stylus tool 200. For example, the cutter size may be based on the diameter of the stylus cutter 200 (e.g., at the base 210). In various embodiments, the base 210 may be cylindrical. The base 210 may be chamfered or have other shapes to transition into the shank 204. The base 210 may have a different shape (e.g., a surface of revolution generated from a curve tangent to the profile curve at the end of the forming face 220) than the tool shape, thus defining a transition region between the forming face 220 and the shank 204. The base 210 is not used for part shaping. Mathematical formulas (e.g., variables, constants, equations, etc.) associated with the tool shape affect the tool dimensions. For a given tool shape (e.g., spherical, clothoid, etc.), the tool dimensions affect the curvature of the curved profile 222.

The part shape input 126 is based on the geometry of the part 102 being formed. The part shape input 126 may be based on a design specification of the part 102. The part shape may be a digital file of an object generated by a design program (e.g., a Computer Aided Design (CAD) program). Part shape input 126 may include a file selection, such as a file directory or browser to select a part shape. Part shape input 126 may include an orientation selection, such as selecting an orientation of the part (e.g., relative to a horizontal plane). The orientation selection may define the top of the part, the bottom of the part, the sides of the part, etc. Orientation selection may be based on the part being formed from the interior or exterior of the part 102.

The tip curve delay input 130 is based on a tip 212 having a flat surface at the tip 212. Thus, the curved profile 222 is delayed at the tip 212. The tip curve delay input 130 may be a distance (e.g., half the width of the handle 204) that is a selection from a menu or an input into a text box at the user interface 108.

The sheet thickness input 132 affects the tool offset determined by the tool path generation module 120 to generate the tool path. The sheet thickness input 132 may be a distance. The sheet thickness input 132 may be a selection from a menu or an input into a text box at the user interface 108.

The feed rate input 134 may affect the forming process. The feed rate input 134 is the speed at which the tool moves along the tool path. For example, the feed rate input 134 may be expressed in mm/minute. The feed rate input 134 may be a selection from a menu or an input into a text box at the user interface 108.

The tool path generation module 120 generates a tool path using the tool path direction input 136. The forming process may be a continuous process that forms the part 102. The forming process may be performed in layers. The tool path direction input 136 may define a tool path flow from the beginning to the end of the part formation. The tool path direction input 136 may include different types of forming paths, such as discrete (e.g., stepped) type forming, spiral type forming, and the like. In various embodiments, the tool path direction may be altered or changed for each step to counteract the twisting effect caused by the forming process. The tool path direction input 136 may be a selection from a menu or an input into a text box at the user interface 108.

The tool path step input 138 may define the distance between the steps or layers of the part being formed. The tool path step input 138 may be a distance. The tool path step input 138 may be a selection from a menu or an input into a text box at the user interface 108.

Fig. 2 shows a portion of the part forming machine 100 according to an embodiment, showing a stylus cutter 200. Fig. 3 shows a portion of the part forming machine 100 according to an embodiment, showing a stylus cutter 200. The stylus cutter 200 shown in fig. 2 and 3 has the same cutter shape; however, the stylus cutter 200 has a different cutter size. The shaft diameter of the base portion 210 of the stylus cutter 200 shown in fig. 2 is larger than that of the base portion 210 of the stylus cutter 200 shown in fig. 3. The shank 204 of the stylus tool 200 is shaped differently to transition to the collet 150. The curved profile 222 that creates the contoured surface 220 has a different curve length between the tip 212 and the base 210. The length of the curve depends on the tool shape and the tool size.

Fig. 4 shows a set 201 of stylus cutters 200 according to an embodiment. In the illustrated embodiment, the set 201 includes four stylus cutters, including a first stylus cutter 200a, a second stylus cutter 200b, a third stylus cutter 200c and a fourth stylus cutter 200 d. The stylus cutters 200a, 200b, 200c, 200d have the same cutter shape; however, the stylus cutter 200 has a different cutter size. The first stylus cutter 200a has a first axial diameter 211a of the base 210 a. The second stylus cutter 200b has a second shaft diameter 211b of the base 210 b. The third stylus cutter 200c has a third shaft diameter 211c of the base 210 c. The fourth stylus cutter 200d has a fourth axis diameter 211d of the base 210 d. The shank 204 of each stylus cutter 200 may have the same shank diameter for interfacing with the cartridge 150 (shown in figure 1). The curved profiles 222a, 222b, 222c, 222d for generating the forming surfaces have different curve lengths 214a, 214b, 214c, 214d between the tip 212a, 212b, 212c, 212d and the base 210a, 210b, 210c, 210d of the stylus cutters 200a, 200b, 200c, 200d, respectively.

Fig. 5 shows a part of a stylus tool 200 according to an embodiment. Figure 5 shows the profiled face 220 of the stylus cutter 200. The forming face 220 is defined by a curved profile 222 between the tip 212 and the base 210 (shown in phantom) at the tool axis 208. The curved profile 222 is a generated curve that rotates about the tool axis 208 to define the shape of the forming face 220. In an embodiment, the forming surface 220 is non-hemispherical. In an embodiment, the curved profile 222 is defined by a parametric equation having an X-parameter component (radial component) and a Y-parameter component (perpendicular component).

In the illustrated embodiment, the curved profile 222 is defined by a clothoid 224. The parametric equations for the curved profile 222 are given by fresnel integration. The curvature of the curved profile 222 varies linearly with the curve length of the curved profile 222 of the forming surface 220. The curved profile 222 has a radius of curvature that decreases from the tip 212 to the base 210. For example, the radius of curvature at the tip 212 (e.g., at point 230) is greater than the radius of curvature at the end of the curved profile 222 (e.g., at point 232). In the case of a clothoid, the radius of curvature of the curved profile 222 at the tip 212 may be considered infinite (e.g., flat) at the tip 212. The contoured surface 220 formed by the clothoid profile is flatter at the bottom than a hemispherical stylus cutter of coaxial diameter. In an embodiment, curved profile 222 may be defined by the formula R x L a, where R is the radius of curvature, L is the curvilinear distance along curved profile 222 from point 230, and a is a scaling factor.

Fig. 6 shows a part of a stylus tool 200 according to an embodiment. Fig. 6 shows the profiled face 220 of the stylus cutter 200 according to an embodiment. The contoured face 220 is defined by a curved contour 222 between the tip 212 and the base 210 (shown in phantom). In the embodiment shown, the tip 212 is flat. The tip 212 includes a flat surface 226. The curved profile 222 is retarded or spaced from the tool axis 208. For example, the curved profile 222 translates radially outward a small distance to form a flat surface 226 at the bottom of the tool. In an embodiment, the curved profile 222 is defined by a clothoid 224, which is used to generate the forming surface 220 (e.g., a surface of revolution about the axis 208). The curved profile 222 extends between the flat surface 226 and the base 210. The curved profile 222 has a radius of curvature that decreases from the flat surface 226 to the base 210. For example, the radius of curvature of the curved profile 222 increases from a finite value at the base 210 to become infinite at the flat surface 226.

Fig. 7 shows a set 201p of stylus cutters 200p according to an embodiment, which have a different cutter shape than the stylus cutter 200 shown in fig. 4. In the illustrated embodiment, the contoured surface 220 of the stylus cutter 200p has a parabolic shape. The contoured face 220 is defined by a curved contour 222 between the tip 212 and the base 210. The set 201p includes two stylus cutters having parabolic curved profiles 222 with different axial diameters at the base 210. The curved profile 222 has a different curve length 214 depending on the tool shape and tool size. The parabolic stylus cutter 200p has different focal lengths which define different curved profiles 222 and therefore different contoured surfaces 220.

Fig. 8 illustrates a method of generating a tool path using the tool path generation module 120 of the part forming machine 100. The tool path is used to form the part 102 by a manufacturing process (e.g. forming or milling) using the stylus tool 200. The tool path generation module 120 performs the various steps identified in the flow chart to generate a tool path that forms the part.

At 600, the part shape is input into the tool path generation module 120. The part shape is the target geometry and orientation of the part 102 to determine the shape of the part being formed. The tool path generation module 120 may receive a set of contact points (e.g., partial geometry or full geometry). The set of contact points may be on a plane corresponding to the spiral or step used to form the part. The part shape may be entered by uploading or selecting a digital file of the object generated by a design program (e.g., a Computer Aided Design (CAD) program).

At 602, the tool shape and size are input into the tool path generation module 120. The tool shape is based on the contoured face 220 of the curved profile 222 of the stylus tool 200. The forming surface 220 is axisymmetric. The curved profile 222 of the forming face 220 is differentiable and defines a convex region. The tool path generation module 120 determines a sheet offset plane by offsetting the part shape normal by a prescribed distance. In some embodiments, such as sheet forming operations, the distance may be equal to the thickness of the blank sheet. In other embodiments, such as milling, the distance may be zero so that no offset from the part 102 occurs. The particular stylus tool 200 used in the part forming process may be selected to improve the geometric accuracy and/or surface finish of the part 102. For example, the stylus tool is selected to provide a tool shape that reduces or minimizes the "cast sheet depression" and spring back effects typically observed in progressive sheet forming processes. The tool shape may be selected based on the shape of the part 102 (e.g., the slope of the surface of the part 102, the curvature of the surface of the part 102, etc.). The tool shape may be based on the profiled face of the stylus tool 200. The tool shape may be based on the shape of the curved profile. The tool shape may be input into the tool shape input 122 of the tool path generation module 120. The tool shape may be input by selecting the tool shape from a menu of different tool shapes, which may be selected at the user interface 108. For example, the tool shape may be selected from a list of tool shapes including a portion of a circle, a portion of a clothoid curve, a portion of a rounded rectangle, a portion of a parabola, a portion of a power law curve, a portion of an ellipse, or other smooth curve that defines a convex region. The tool shape may be entered into a text box at the user interface 108. The tool shape may be entered by entering a mathematical formula associated with the tool shape into the tool shape input 122. The tool size may be based on the diameter of a portion of the stylus tool 200 (e.g., the diameter of the base 210). The cutter size may be based on the diameter of the head at the uppermost boundary of the forming face 220. The tool size may be input into the tool size input 124 of the tool path generation module 120. The tool size may be entered by selecting the tool size from a menu of different tool sizes, which may be selected at the user interface 108. For example, the tool size may be selected from a list (e.g., small, medium, large) or may be selected from a drop down menu of sizes (e.g., 10mm, 20mm, etc.). The tool size may be entered into a text box at the user interface 108. The tool size may affect the mathematical formula associated with the tool shape (e.g., affect constants used within the mathematical formula).

At 610, the tool path generation module 120 picks up the new contact point 410 on the sheet offset face. At 612, the tool path generation module 120 calculates the slope of the face at the contact point 410 in a vertical plane 412, the vertical plane 412 containing the normal to the part 102. The intersection of this plane with the cross-sectional plane defines a part curve 414, and the calculated slope is the slope of the part curve at the point of interest.

At 614, the tool path generation module 120 determines a point on the curved profile 222 of the stylus tool 200 that has the same slope as the part curve 414 at the contact point 410. At 616, the tool path generation module 120 calculates a tool offset vector in the vertical plane 412 that corresponds to causing the calculated point on the curved profile 222 to coincide with the current contact point 410 on the sheet offset plane. Adding the tool offset vector to the contact point 410 defines a single point on the tool offset plane. The point may be offset from the contact point in the normal direction of the part geometry by an amount equal to the radial offset component of the corresponding point on the curved profile 222 and vertically by an amount equal to the vertical offset of the corresponding point on the curved profile 222. The tool offset plane is defined by the set of all points calculated in this manner from all possible contact points 410 on the surface of the part 102. Since there is an infinite number of possible contact points on the part geometry, the tool offset plane, defined by the interpolation through these points, is approximated by selecting multiple contact points 410. In some implementations, the contact point may be the entire set of points in a discrete grid representation of the geometry of the shaped or milled surface of the part 102. In an alternative embodiment, the contact points may be spaced apart at predetermined intervals (e.g., every 0.1mm) across the part, forming a grid of contact points along the surface of the part 102. The tool offset face defines an offset position for locating a reference point of the stylus tool 200 for forming or milling the part 102. The reference point of the stylus cutter 200 may be a fixed point of the stylus cutter 200, for example the tip of the stylus cutter 200; however, in alternative embodiments, the reference point may be at other locations. In various embodiments, such as those related to progressive sheet forming, the tool offset plane may first be determined by adding a fixed normal offset at each contact point 410 based on the initial sheet thickness of the sheet used to form the part. The initial sheet thickness offset vector is then added to the tool offset vector to define a point on the tool offset plane.

At 620, the tool path generation module 120 determines whether all selected contact points 410 have been processed. At 622, when all contact points have not been processed, the tool path generation module 120 returns to step 610 to pick up a new contact point. At 624, when all contact points have been analyzed, the tool path generation module 120 outputs the tool offset positions for the respective contact points as a data set defining a tool offset plane for forming the part. At 626, the tool path generation module 120 generates a tool path by defining a path on the tool offset plane. As in the case of a spiral tool path, the tool path generated by the tool path generation module 120 may continue from the beginning of the process to the end of the process. In an alternative embodiment, the tool path generated by tool path generation module 120 may be a plurality of contour paths generated by taking slices of the tool offset plane at particular values of the Z coordinate to generate a Z-level tool path. In further embodiments, the tool path generated by the tool path generation module 120 may be a plurality of contour paths generated by taking slices of the tool offset plane at particular values of the X or Y coordinate values or any linear combination of these values in order to generate a lace (zig-zag) tool path.

In various embodiments, the tool path generation module 120 is configured to generate a tool path from the surface of the part 102 by generating an appropriate offset with reduced 3D processing compared to conventional tool path generation algorithms. In various embodiments, the tool path generation module 120 may operate using assumptions to simplify the calculation of tool offset points from the target surface of the part. For example, the tool path generation module 120 may use the assumption of axisymmetric shaping surfaces 220 of the stylus tool 200, which allows the tool offset surface for a given point to be solved in two dimensions, thereby reducing algorithm complexity while increasing the efficiency of tool path generation. The tool path generation module 120 may use the assumption that the curved profile 222 is differentiable and defines a convex region in a plane. In various embodiments, the tool path generation module 120 may generate a tool path for discretely defined shaping surfaces (e.g., using a set of discrete points to define a generation curve) and/or parametrically defined shaping surfaces.

Figure 9 shows a model of a stylus tool positioned in relation to a part 102 according to an embodiment. Dashed line 410 shows the locus of contact points. Figure 10 is an enlarged view of a portion of a model of a stylus tool positioned in relation to part 102 according to an embodiment. The tool path 400 is used to form the part 102 using the stylus tool 200. The stylus cutter 200 follows a cutter path 400. The tool path 400 is specific to the part 102 being formed. Dashed line 410 shows the trajectory of the contact point as the tool 200 follows the tool path 400. The tool path is located at a tool offset plane 402 from the part 102. The tool offset plane 402 may be defined relative to the tip 212 of the stylus tool 200. The tool offset face 402 is based on the shape of the stylus tool 200. The tool offset plane 402 is based on the slope of the part at the point of contact and the surface normal. The tool offset face 402 is also based on the sheet thickness of the sheet material used to form the part 102. The point on the tool offset plane 402 may be displaced in the X-direction and/or the Y-direction and/or the Z-direction relative to the contact point 410.

FIG. 11 illustrates a model of a tool path 400 for part 102, according to an embodiment. The tool path generation module 120 identifies a plurality of contact points 410 on the part. At each contact point 410, the tool path generation module 120 defines a vertical plane 412 containing a normal to the part 102 at the contact point 410 to define a part curve 414 of the part in the vertical plane. Tool path generation module 120 may identify a plurality of contact points along part curve 414.

Fig. 12 is a graph illustrating a tool offset plane determined by the tool path generation module 120 according to an embodiment. Fig. 12 shows a part curve 414 and stylus tool 200 at a tool offset position for forming a part. To determine the point on the tool offset plane, tool path generation module 120 calculates the derivative of part curve 414 at contact point 410. The tool path generation module 120 determines a tool contact point 420 on the profile curve 222 of the stylus tool 200 such that a corresponding point on the part curve 414 has the same derivative value as the corresponding contact point 410. The stylus tool position at contact point 410 for forming part 102 is at a tool offset position. The tool offset position is based on the particular tool shape and the particular tool size. The tool offset position may be an offset of the tool contact point 410 relative to the tip 212 and may have an X offset and/or a Y offset and/or a Z offset.

It is to be understood that the above description is intended to be illustrative, and not restrictive. For example, the above-described embodiments (and/or aspects thereof) may be used in combination with each other. In addition, many modifications may be made to adapt a particular situation or material to the teachings of the invention without departing from its scope. The dimensions, types of materials, orientations of the various components, and numbers and locations of the various components described herein are intended to define the parameters of certain embodiments, and are in no way limiting and are embodiments only. Many other embodiments and modifications within the spirit and scope of the claims will become apparent to those skilled in the art upon reading the foregoing description. The scope of the invention should, therefore, be determined with reference to the appended claims, along with the full scope of equivalents to which such claims are entitled. In the appended claims, the terms "including" and "in which" are used as the plain-meaning synonyms of the respective terms "comprising" and "in which". Furthermore, in the following claims, the terms "first," "second," and "third," etc. are used merely as labels, and are not intended to impose numerical requirements on their objects. Additionally, the limitations of the appended claims are not written in a device-plus-function format, unless these claims expressly use the phrase "means for …" before a functional recitation of no additional structure is present.

Further, the present disclosure includes embodiments according to the following clauses:

1. a stylus tool for forming a part, the stylus tool comprising:

a shank configured to be coupled to a chuck for positioning of a stylus tool; and

a head extending between the base and the tip at the shank, the head having a contoured face between the base and the tip, the contoured face being axisymmetric and defined by rotating a curved profile about an axis of the shank, a curvature of the curved profile varying linearly with a curved length of the curved profile of the contoured face.

2. The stylus tool according to clause 1, wherein the curved profile of the contoured surface is non-circular.

3. The stylus tool according to clause 1, wherein the curved profile of the contoured surface is part of a clothoid.

4. The stylus tool of clause 1, wherein the curved profile has a radius of curvature that decreases from the tip to the base.

5. The stylus tool according to clause 1, wherein the curved profile is defined by the equation R x L a, where R is the radius of curvature, L is the curvilinear distance from the tip along the curved profile, and a is a scaling factor.

6. The stylus tool according to clause 1, wherein the head comprises a flat surface at the tip, the curved profile extending between the flat surface and the base.

7. A tool path generation method for generating a tool path using a stylus tool using a tool path generation module of a part forming machine, the tool path generation method comprising the steps of:

inputting a part shape of a part to be manufactured;

inputting a tool shape of the stylus tool based on a contoured surface of the head of the tool defined by a curved profile between a tip of the head and a base of the head, the curvature of the curved profile varying linearly with a curved length of the curved profile of the contoured surface;

determining a tool offset plane for the part shape based on the tool shape; and

a tool path for forming the part is generated based on the tool offset surface.

8. The tool path generation method of clause 7, wherein the step of inputting the tool shape comprises inputting the diameter of the base into the tool path generation module.

9. The tool path generation method of clause 7, wherein the step of determining the tool offset plane comprises determining the tool offset plane at a plurality of contact points of the part.

10. The tool path generating method according to clause 9, wherein the step of determining the tool offset plane includes:

defining a vertical plane through the part at each contact point, wherein the plane further contains a normal to the part at the each contact point to define a part curve for the part in the vertical plane;

calculating a derivative of the part curve at each contact point; and

for each contact point, a point on the curved profile of the forming surface of the generating tool is determined that has the same derivative value as the respective contact point.

11. The tool path generating method according to clause 10, wherein the step of generating the tool path includes generating the tool path between specified points on the tool offset plane corresponding to the desired tool contact points to form the tool path.

12. The tool path generation method of clause 7, wherein the step of determining the sheet material offset plane comprises adding a fixed offset to each contact point based on the sheet material thickness of the sheet material used to form the part.

13. A tool path generation method for generating a tool path using a stylus tool using a tool path generation module of a part forming machine, the tool path generation method comprising the steps of:

inputting a part shape of a part to be manufactured;

inputting a tool shape of the stylus tool based on a contoured face of a head of the stylus tool defined by a curved profile between a tip of the head and a base of the head, the curved profile being differentiable and bounding a convex region, the contoured face being axisymmetric for forming a part;

inputting a tool size of a base of a head of a stylus tool;

determining a tool offset plane for the part shape based on the tool shape and the tool size; and

a tool path for forming the part is generated based on the tool offset face and the part shape.

14. The tool path generation method of clause 13, wherein the step of inputting a tool shape comprises inputting a tool shape from a plurality of different tool shapes.

15. The tool path generation method of clause 13, wherein the step of determining the tool offset plane comprises determining the tool offset plane using a plurality of contact points of the part.

16. The tool path generation method of clause 13, wherein the step of inputting the tool shape comprises inputting an envelope shape of the cutting tool.

17. The tool path generation method of clause 13, wherein the step of inputting a tool shape comprises inputting a punch tool shape.

18. The tool path generation method of clause 13, wherein the step of determining the sheet material offset plane comprises adding a fixed offset to each contact point based on the sheet material thickness of the sheet material used to form the part.

19. A parts forming machine, comprising:

a chuck;

a tool positioner operatively coupled to the collet to move the collet in the three-dimensional workspace;

a controller operatively coupled to the tool positioner for controlling a position of the collet in the workspace, the controller including a tool path generation module for generating a tool path for forming the part; and

a stylus cutter coupled to the collet for forming the part, the stylus cutter comprising a cutter body extending between a shank coupled to the collet and a head extending between a base and a tip at the shank, the head having a contoured face between the base and the tip, the contoured face being axisymmetric for forming the part, the contoured face being defined by a curved profile having a curvature, the curved profile being differentiable and bounding a convex region,

wherein the tool path generation module determines a tool path of the stylus tool based on a tool shape of the stylus tool defined by the profiled face.

20. The parts forming machine as described in clause 19 wherein the tool shape can be any of a plurality of different tool shapes.

21. The part forming machine of clause 19, wherein the tool path generation module determines the tool path of the stylus tool based on a tool dimension, which may be any one of a plurality of different tool dimensions for a given tool shape, in addition to the tool shape of the stylus tool defined by the forming face.

22. The part forming machine of clause 19, wherein the curved profile that creates the forming face is non-circular.

23. The part forming machine of clause 19, wherein the curvature of the curved profile that generates the forming surface varies linearly with the length of the curve that generates the curved profile of the forming surface.

24. The part forming machine of clause 19, wherein the curved profile that generates the forming face is part of a clothoid.

25. The parts forming machine as claimed in clause 19, wherein the head comprises a flat surface at the tip, the curved profile extending between the flat surface and the base.

26. A parts forming machine, comprising:

a chuck;

a tool positioner operatively coupled to the collet to move the collet in the three-dimensional workspace;

a controller operatively coupled to the tool positioner for controlling a position of the collet in the workspace, the controller including a tool path generation module for generating a tool path for forming the part; and

a stylus cutter coupled to the collet so as to be movable by the collet for forming a part, the stylus cutter comprising a cutter body extending between a shank coupled to the collet and a head extending between a base at the shank and a tip, the head having a contoured face between the base and the tip, the contoured face being axisymmetric for forming the part, the contoured face being defined by a curved profile whose curvature varies linearly with the curved length of the curved profile of the contoured face,

wherein the tool path generation module determines a tool path of the stylus tool based on a tool shape of the stylus tool defined by the profiled face.

27. The part forming machine of clause 26, wherein the tool path generation module determines the tool path of the stylus tool based on a tool size of the stylus tool defined by the diameter of the base, the tool size being any one of a plurality of different tool sizes for a given tool shape.

28. The part forming machine of clause 26, wherein the curved profile that creates the forming face is non-circular.

29. The part forming machine of clause 26, wherein the curved profile of the forming face is a portion of a clothoid.

30. The parts forming machine as claimed in clause 26, wherein the head comprises a flat surface at the tip, the curved profile extending between the flat surface and the base.

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