阅读说明：本技术 一种用于绘制圆和椭圆的函数生成机构 (Function generating mechanism for drawing circles and ellipses ) 是由 韩书葵 节茂岩 王行远 周灭旨 薛红肖 于 2020-12-24 设计创作，主要内容包括：本发明公开了一种用于绘制圆和椭圆的函数生成机构,所述边框衔架内侧中部水平方向固定连接有水平槽道,所述边框衔架内侧中部竖直方向固定连接有竖直槽道,所述边框衔架内部位于竖直槽道一侧位置处连接有纵轴,所述边框衔架内部位于水平槽道一侧位置处连接有横轴,所述水平槽道内侧嵌入滑动连接有横向滑块,所述竖直槽道内侧嵌入滑动连接有纵向滑块,所述横轴穿过纵向滑块与边框衔架滑动连接,所述纵轴穿过横向滑块与边框衔架滑动连接,本发明结构比较简单,巧妙地利用纵轴和横轴将绘制圆和绘制椭圆联系在一起,并且通过各构件的连接和运动关系可以容易地实现圆与椭圆的同步绘制和函数转换。(The invention discloses a function generating mechanism for drawing circles and ellipses, wherein a horizontal channel is fixedly connected in the middle of the inner side of a frame holding frame in the horizontal direction, a vertical channel is fixedly connected with the middle part of the inner side of the frame holding frame in the vertical direction, a longitudinal shaft is connected with the position of one side of the vertical channel in the frame holding frame, a transverse shaft is connected at one side of the horizontal channel in the frame joining frame, a transverse sliding block is embedded and connected at the inner side of the horizontal channel in a sliding manner, the inner side of the vertical channel is embedded with a longitudinal sliding block in a sliding connection mode, the transverse shaft penetrates through the longitudinal sliding block to be in sliding connection with the frame holding frame, the longitudinal shaft penetrates through the transverse sliding block to be connected with the frame holding frame in a sliding manner, the structure of the invention is simpler, the longitudinal shaft and the transverse shaft are skillfully utilized to link the drawing circle and the drawing ellipse together, and the synchronous drawing and function conversion of the circle and the ellipse can be easily realized through the connection and the motion relation of each component.)

1. A function generation mechanism for drawing circles and ellipses, comprising a frame holding frame (1), characterized in that: the frame holding frame is characterized in that a horizontal channel (7) is fixedly connected to the middle of the inner side of the frame holding frame (1) in the horizontal direction, a vertical channel (10) is fixedly connected to the middle of the inner side of the frame holding frame (1) in the vertical direction, the horizontal channel (7) is perpendicularly connected with the vertical channel (10) in a crossing manner, a longitudinal shaft (5) is connected to the position, located on one side of the vertical channel (10), in the frame holding frame (1), and a transverse shaft (8) is connected to the position, located on one side of the horizontal channel (7), in the frame holding frame (1);

the inner side of the horizontal channel (7) is connected with a transverse sliding block (3) in an embedded sliding mode, the inner side of the vertical channel (10) is connected with a longitudinal sliding block (9) in an embedded sliding mode, the transverse shaft (8) penetrates through the longitudinal sliding block (9) to be connected with the frame holding frame (1) in a sliding mode, and the longitudinal shaft (5) penetrates through the transverse sliding block (3) to be connected with the frame holding frame (1) in a sliding mode;

the outer surfaces of the transverse sliding block (3) and the longitudinal sliding block (9) are hinged to be connected with an elliptical needle (6), the elliptical needle (6) moves to be connected with a painted elliptical ring (4), the inner side of the frame linking frame (1) is hinged to be connected with a circular needle (11), and the circular needle (11), the transverse shaft (8) and the longitudinal shaft (5) are all penetrated through the painted elliptical ring (2).

2. A function generation mechanism for drawing circles and ellipses as recited in claim 1, wherein: the horizontal channel (7) is an X axis, the vertical channel (10) is a Y axis, the intersection point of the horizontal channel (7) and the vertical channel (10) is a coordinate origin O, a rectangular coordinate system XOY is established, the position of the transverse sliding block (3) is defined as a point B, the position of the longitudinal sliding block (9) is defined as a point A, the distance from the drawing elliptical ring (4) to the point A is adjusted to be a, and the distance from the drawing elliptical ring (4) to the point B is drawn to be B;

if the position coordinates of the drawing elliptical ring (4) in the rectangular coordinate system XOY are (X, y), the position coordinates of the drawing circular ring (2) in the rectangular coordinate system XOY are (X, y), and the included angle between the elliptical needle (6) and the X axis is theta, the method comprises the following steps:

3. a function generation mechanism for drawing circles and ellipses as claimed in claim 2, wherein: the coordinate of the ellipse drawing ring (4) in the rectangular coordinate system XOY is drawn by an ellipse with a as a long axis and b as a short axis, the drawing of the circle drawing ring (2) in the rectangular coordinate system XOY is performed by taking O as a center of a circle and taking a-b as a radius circle, the circle drawing ring (2) rotates around the coordinate origin O fixed axis, the ellipse drawing ring (4) can simultaneously perform elliptic motion in the coordinate system XOY, and the circles and the ellipses with different parameters can be obtained by adjusting the sizes of the circle drawing ring (4) and the a.

4. A function generation mechanism for drawing circles and ellipses as recited in claim 1, wherein: the longitudinal shaft (5) and the vertical channel (10) are arranged in parallel, the transverse shaft (8) and the horizontal channel (7) are arranged in parallel, and the longitudinal shaft (5) and the transverse shaft (8) are perpendicularly intersected.

5. A function generation mechanism for drawing circles and ellipses as recited in claim 1, wherein: the inner sides of the horizontal channel (7) and the vertical channel (10) are respectively provided with a limiting sliding groove, and the transverse sliding block (3) and the longitudinal sliding block (9) are respectively positioned in the horizontal channel (7) and the vertical channel (10) and are in sliding connection with the limiting sliding grooves in a matching manner.

6. A function generation mechanism for drawing circles and ellipses as recited in claim 1, wherein: the inner sides of the transverse sliding block (3) and the longitudinal sliding block (9) are respectively provided with a movable groove, and the longitudinal shaft (5) and the transverse shaft (8) are movably connected with the movable grooves.

Technical Field

The invention relates to the technical field of function generating mechanisms, in particular to a function generating mechanism for drawing circles and ellipses.

Background

The ellipse can be regarded as being obtained by compressing all points on a circle in equal proportion towards the direction vertical to a certain diameter, and the ellipse is widely applied to the fields of theoretical mechanics, geometric optics, astronomy and the like, but due to the characteristics of unequal major and minor axes of the ellipse, bifocal points and the like, a practical hand-drawing or demonstration tool is not available up to now;

the traditional ellipsograph cannot be connected with a rotary motor, automatic ellipse demonstration or ellipse tracking usually needs complex program control, the cost is high, and viewers cannot feel the definition of an ellipse and the internal relation of each parameter of the ellipse, the teaching effect is influenced, and the ellipsograph is particularly in the automation field.

Disclosure of Invention

The invention provides a function generating mechanism for drawing circles and ellipses, which can effectively solve the problems that the traditional ellipsograph cannot be connected with a rotary motor, automatic ellipse demonstration or ellipse tracking usually needs complex program control, the cost is high, and viewers cannot easily feel the definition of the ellipses and the internal relation of each parameter of the ellipses to influence the teaching effect in the background technology.

In order to achieve the purpose, the invention provides the following technical scheme: a function generating mechanism for drawing circles and ellipses comprises a frame holding frame, wherein a horizontal channel is fixedly connected to the middle part of the inner side of the frame holding frame in the horizontal direction, a vertical channel is fixedly connected to the middle part of the inner side of the frame holding frame in the vertical direction, the horizontal channel and the vertical channel are perpendicularly connected in an intersecting manner, a longitudinal shaft is connected to the position, located on one side of the vertical channel, in the frame holding frame, and a transverse shaft is connected to the position, located on one side of the horizontal channel, in the frame holding frame;

the inner side of the horizontal channel is connected with a transverse sliding block in an embedded sliding manner, the inner side of the vertical channel is connected with a longitudinal sliding block in an embedded sliding manner, the transverse shaft penetrates through the longitudinal sliding block to be connected with the frame holding frame in a sliding manner, and the longitudinal shaft penetrates through the transverse sliding block to be connected with the frame holding frame in a sliding manner;

the outer surfaces of the transverse sliding block and the longitudinal sliding block are hinged to be connected with elliptical needles, the elliptical needles are movably connected with drawing elliptical rings, the inner sides of the frame linking frames are hinged to be connected with circular needles, and the circular needles, the transverse shafts and the longitudinal shafts penetrate through the drawing elliptical rings.

Preferably, the horizontal channel is an X axis, the vertical channel is a Y axis, an intersection point of the horizontal channel and the vertical channel is a coordinate origin O, a rectangular coordinate system XOY is established, and a position of the transverse slider is defined as a point B, a position of the longitudinal slider is defined as a point a, then a distance from the drawing elliptical ring to the point a is adjusted to be a, and a distance from the drawing elliptical ring to the point B is adjusted to be B;

let the position coordinates of the elliptical ring in the rectangular coordinate system XOY be (x, y), and the position coordinates of the circular ring in the rectangular coordinate system XOY be (x^*，y^*) And the included angle between the elliptic needle and the X axis is theta, then:

preferably, the coordinate of the elliptical drawing ring in the rectangular coordinate system XOY is drawn by an ellipse with a as a major axis and b as a minor axis, and the coordinate of the circular drawing ring in the rectangular coordinate system XOY is drawn by a circle with O as a center and (a-b) as a radius, the circular drawing ring rotates around the origin of coordinates O in a fixed axis manner, the elliptical drawing ring simultaneously performs elliptical motion in the coordinate system XOY, and the circles and the ellipses with different parameters can be obtained by adjusting the sizes of (a-b) and a.

Preferably, the longitudinal axis and the vertical channel are parallel to each other, the transverse axis and the horizontal channel are parallel to each other, and the longitudinal axis and the transverse axis are perpendicularly intersected.

Preferably, the inner sides of the horizontal channel and the vertical channel are both provided with a limiting sliding chute, and the transverse sliding block and the longitudinal sliding block are respectively positioned in the horizontal channel and the vertical channel and are in fit sliding connection with the limiting sliding chutes.

Preferably, the inner sides of the transverse sliding block and the longitudinal sliding block are respectively provided with a movable groove, and the longitudinal shaft and the transverse shaft are movably connected with the movable grooves.

Compared with the prior art, the invention has the beneficial effects that: the invention has scientific and reasonable structure and safe and convenient use:

the mechanism can map different circular track inputs into an elliptical track output by utilizing a specific functional relation between a circle and an ellipse, thereby realizing the convenient and fast operation of manually drawing the circle and the ellipse with any parameters and the operation of automatic ellipse demonstration, tracking and the like by connecting with a rotary motor;

meanwhile, the mechanism has a simple structure, skillfully utilizes the longitudinal axis and the transverse axis to link the drawing circle and the drawing ellipse together, and can easily realize the synchronous drawing and function conversion of the circle and the ellipse through the connection and the motion relation of all components.

Drawings

The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the principles of the invention and not to limit the invention.

In the drawings:

FIG. 1 is a schematic diagram of the present invention depicting circles and ellipses;

FIG. 2 is a schematic diagram of the arrangement of the structures of the present invention in space;

reference numbers in the figures: 1. the frame is connected with the frame; 2. drawing a circular ring; 3. a transverse slide block; 4. drawing an elliptical ring; 5. a longitudinal axis; 6. an elliptical needle; 7. a horizontal channel; 8. a horizontal axis; 9. a longitudinal slide block; 10. a vertical channel; 11. round needle.

Detailed Description

The preferred embodiments of the present invention will be described in conjunction with the accompanying drawings, and it will be understood that they are described herein for the purpose of illustration and explanation and not limitation.

Example (b): as shown in fig. 1-2, the invention provides a technical scheme, in particular to a function generating mechanism for drawing circles and ellipses, which comprises a frame holding frame 1, wherein a horizontal channel 7 is fixedly connected to the middle part of the inner side of the frame holding frame 1 in the horizontal direction, a vertical channel 10 is fixedly connected to the middle part of the inner side of the frame holding frame 1 in the vertical direction, the horizontal channel 7 is vertically connected with the vertical channel 10 in a crossing manner, a longitudinal shaft 5 is connected to the position, located on one side of the vertical channel 10, inside the frame holding frame 1, and a transverse shaft 8 is connected to the position, located on one side of the horizontal channel 7, inside the frame holding frame 1;

the inner side of a horizontal channel 7 is connected with a transverse sliding block 3 in an embedded sliding manner, the inner side of a vertical channel 10 is connected with a longitudinal sliding block 9 in an embedded sliding manner, a longitudinal shaft 5 and the vertical channel 10 are arranged in parallel, a transverse shaft 8 and the horizontal channel 7 are arranged in parallel, the longitudinal shaft 5 and the transverse shaft 8 are arranged in a vertical intersecting manner, so that the motion states of the longitudinal shaft 5 and the transverse shaft 8 are conveniently limited, the inner sides of the transverse sliding block 3 and the longitudinal sliding block 9 are respectively provided with a movable groove, the longitudinal shaft 5 and the transverse shaft 8 are movably connected and in the movable grooves, so that the connection and the sliding between the longitudinal shaft 5 and the transverse sliding block 3 and the longitudinal sliding block 9 are conveniently realized, the transverse shaft 8 penetrates through the longitudinal sliding block 9 and is connected with a frame holding frame 1 in a sliding manner, the longitudinal shaft 5 penetrates through the transverse sliding block 3 and is connected with the frame holding frame 1 in a sliding manner, the inner sides of the horizontal channel, facilitating the sliding of the transverse slider 3 and the longitudinal slider 9 in the horizontal channel 7 and the vertical channel 10;

the outer surfaces of the transverse sliding block 3 and the longitudinal sliding block 9 are hinged with an elliptical needle 6, the elliptical needle 6 is movably connected with an elliptical drawing ring 4, the inner side of the frame holding frame 1 is hinged with a circular needle 11, and the circular needle 11, the transverse shaft 8 and the longitudinal shaft 5 penetrate through the elliptical drawing ring 2.

In fig. 1, a rectangular coordinate system XOY is established with a horizontal channel 7 as an X axis, a vertical channel 10 as a Y axis, and an intersection point of the horizontal channel 7 and the vertical channel 10 as an origin of coordinates O, and a position of the transverse slider 3 is defined as a point B, and a position of the longitudinal slider 9 is defined as a point a, then a distance from the elliptical ring 4 to the point a is adjusted to be a, and a distance from the elliptical ring 4 to the point B is adjusted to be B;

let the position coordinates of the elliptical ring 4 in the rectangular coordinate system XOY be (x, y), and the position coordinates of the circular ring 2 in the rectangular coordinate system XOY be (x, y)^*，y^*) If the included angle between the elliptic needle 6 and the X axis is theta, the following are included:

therefore, the coordinate of the elliptical ring 4 in the rectangular coordinate system XOY is drawn by an ellipse with a as the major axis and b as the minor axis, and the drawing of the circular ring 2 in the rectangular coordinate system XOY is drawn by a circle with O as the center, (a-b) is a circle with a radius, the circular ring 2 rotates around the origin of coordinates O, the elliptical ring 4 performs elliptical motion in the coordinate system XOY at the same time, and the circles and the ellipses with different parameters can be obtained by adjusting the sizes of (a-b) and a.

In order to avoid the movement interference, the components can be stacked as shown in fig. 2, the components are connected and arranged in a manner of stacking in 4 layers, and the round needle 11 is converted into a disc slotted form to facilitate the operation and parameter adjustment.

The working principle and the using process of the invention are as follows: when a circle needs to be drawn, the function generation mechanism for drawing a circle and an ellipse moves in a groove formed in a disc through a round needle 11, the radius of the drawn circle can be adjusted by manually adjusting the distance between a drawing circular ring 2 and the intersection point of a horizontal channel 7 and a vertical channel 10, and after the radius is adjusted, the drawing circular ring 2 is manually rotated for one circle, so that the drawn shape is a circle;

when an ellipse needs to be drawn, the elliptical needle 6 is hinged to the outer surfaces of the transverse sliding block 3 and the longitudinal sliding block 9, the circular needle 11, the transverse shaft 8 and the longitudinal shaft 5 penetrate through the drawing circular ring 2, and the drawing elliptical ring 4 is movably connected to the elliptical needle 6, so that the elliptical needle 6 does elliptical motion while drawing the circle, and an ellipse can be drawn by moving the elliptical needle 6;

in application, a rectangular coordinate system XOY is established by setting the horizontal channel 7 as an X axis, the vertical channel 10 as a Y axis and setting the intersection point of the horizontal channel 7 and the vertical channel 10 as a coordinate origin O, and the position of the transverse slider 3 is defined as a point B, the position of the longitudinal slider 9 is defined as a point a, then the distance from the elliptical ring 4 to the point a is adjusted to be a, and the distance from the elliptical ring 4 to the point B is adjusted to be B;

if the position coordinates of the elliptical drawing ring 4 in the rectangular coordinate system XOY are (X, y), the position coordinates of the circular drawing ring 2 in the rectangular coordinate system XOY are (X, y), and the included angle between the elliptical needle 6 and the X axis is (X, y), then:

it can be seen that the coordinate of the elliptical ring 4 in the rectangular coordinate system XOY represents an ellipse with a as the major axis and b as the minor axis, and the coordinate of the circular ring 2 in the rectangular coordinate system XOY represents a circle with O as the center and (a-b) as the radius;

therefore, when in operation, the drawing circular ring 2 is driven to rotate around the coordinate origin O in a fixed axis mode, the drawing elliptical ring 4 can simultaneously do elliptical motion in the coordinate system XOY, and circles and ellipses with different parameters can be obtained by adjusting (a-b) and the size of a.

Finally, it should be noted that: although the present invention has been described in detail with reference to the foregoing embodiments, it will be apparent to those skilled in the art that changes may be made in the embodiments and/or equivalents thereof without departing from the spirit and scope of the invention. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.