阅读说明：本技术 参数方程式椭圆演示绘图切割一体机 (Parameter equation ellipse demonstration drawing and cutting integrated machine ) 是由 王书营 冯桂珍 于 2019-12-05 设计创作，主要内容包括：本发明公开一种参数方程式椭圆演示绘图切割一体机,目的是提供一种能通过演示过程直观表现椭圆参数方程内在规律及各参数的作用,能将演示的光点运动与画笔统一起来在形成视觉图像的同时直接绘制成椭圆,能在有平面的原材料上或固定平面上进行绘图,能作为工具长期广泛使用,包括支架、转轴机构、短轴滑道、长轴滑道、立交连通器、径向转杆、画笔、画板、摇把,本装置具有：操作简单,只要推转把手就能完成所有演示、曲线绘制等,功能齐全：能完成任意参数椭圆参数方程的演示、轨迹绘制；曲线绘制准确精度高,结构紧凑成本低廉携带方便；适用性强：能在多种场合任意角度演示与绘制,适用于教学、工程设计及机械加工等。(The invention discloses an ellipse demonstration drawing and cutting integrated machine of a parameter equation, aiming at providing a device which can intuitively express the internal law of the ellipse parameter equation and the function of each parameter through the demonstration process, unify the demonstrated light spot movement and a painting brush to form a visual image and simultaneously directly draw an ellipse, can draw on a raw material with a plane or a fixed plane, can be widely used as a tool for a long time, and comprises a bracket, a rotating shaft mechanism, a short shaft slideway, a long shaft slideway, an interchange communicating device, a radial rotating rod, a painting brush, a drawing board and a crank, wherein the device comprises: the operation is simple, all demonstration, curve drawing and the like can be completed only by pushing and rotating the handle, and the functions are complete: the demonstration and the track drawing of an elliptic parameter equation with any parameter can be completed; the curve drawing accuracy is high, the structure is compact, the cost is low, and the carrying is convenient; the applicability is strong: the device can be used for demonstrating and drawing at any angle in various occasions, and is suitable for teaching, engineering design, machining and the like.)

1. The ellipse demonstration of parameter equation draws cutting all-in-one, its characterized in that: including support, pivot mechanism, minor axis slide, major axis slide, interchange linker, radial bull stick, painting brush, drawing board, crank, pivot mechanism, minor axis slide, major axis slide are arranged in on the support respectively, pivot mechanism is arranged in to radial bull stick, the interchange linker is arranged in between major axis slide and the radial bull stick, the intersection of minor axis slide and major axis slide is arranged in to the painting brush, square pipe frame's rear end is arranged in to the drawing board, the front end of pivot mechanism is arranged in to the crank.

2. The parametric equation ellipse demonstration, drawing and cutting all-in-one machine as recited in claim 1, wherein: the radial rotating rod comprises an eighth rectangular plate, a second circular tube, a third circular tube and a fourth circular tube, the eighth rectangular plate is a straight hard plate rod, the front side face of the eighth rectangular plate is sequentially provided with a ninth groove and a fourth scale from top to bottom, the ninth groove is sequentially provided with a tenth sliding block and an eleventh sliding block from left to right, the tenth sliding block and the eleventh sliding block are provided with sliding blocks with locks, the tenth sliding block is provided with a vertical third circular tube, the front end of the third circular tube is provided with a first indicator lamp, the eleventh sliding block is provided with a vertical fourth circular tube, the front end of the fourth circular tube is provided with a second indicator lamp, the left end of the eighth rectangular plate is provided with the second circular tube, the second circular tube is provided with a second nail hole, the third circular tube and the fourth circular tube are inner insertion tubes, and the first indicator lamp and the second indicator lamp are bidirectional spot lamps.

Technical Field

The invention relates to a teaching instrument, in particular to an ellipse demonstration drawing and cutting all-in-one machine with a parameter equation.

Background

The ellipse is the most commonly used graph of people, is the content that middle school students must master, and the form of representing the ellipse mainly has three kinds: the first is a defined form, namely the track with the sum of the distances from the moving point to two fixed points in the plane being a fixed length, and the standard equation is x²/a²+y²/b²1, 2a is long in major axis and 2b is long in minor axis(ii) a The second is a polar form, i.e. a locus of a moving point where the ratio of the distance to a fixed point in a plane and the distance to a fixed straight line is a constant less than 1, and the standard equation is ρ ep/(1-e cos φ),0<e<1, e is the eccentricity (proportionality constant), p is the distance of the focus (pole) to the directrix; the third is a parametric equation, where x is a cos θ and y is b sin θ, θ is a dynamic parameter (variable), and a and b are characteristic parameters (undetermined constants). . Although the forms of the above are different, the essence is the same, the parameter equation form is not described through the motion characteristics, and the internally formed cause and effect lacks an intuitive imagination process, so that great difficulty exists in teacher teaching or student learning, and few tools suitable for rapidly and accurately demonstrating and drawing ellipses in class at present seriously influence the teaching effect. Engineering designers draw drawings, machining personnel process parts and the like, and need fast and convenient drawing and cutting tools to improve efficiency and precision.

In order to solve the above problems, a few devices related to involute aspect appear in the near stage, for example, a "mechanical ellipsometer" is given in document with patent application No. 201410794945.5, and includes a frame, a fixed shaft, a large gear, a rack, a spiral spring, a moving shaft, a pinion, a moving frame, and a moving strip with a pen clip, where the large gear is fixedly connected to the fixed shaft and engaged with the rack, the spiral spring is sleeved outside the fixed shaft and abutted between a positioning boss and the large gear, the moving shaft is connected to the frame at one end far from the fixed shaft, one end of the moving strip with the pen clip is sleeved in a through groove of the moving frame, and the other end of the moving strip with the pen clip is provided with a painting brush positioning hole. The technology can only draw an ellipse and can not visually demonstrate an ellipse parameter equation.

In patent application No. 201820149220.4, a "conic definition demonstration board" is provided, in which two shafts are fixed on one surface of a drawing board to form two fixed points, a drawing pen is connected with a drawing rope, and the drawing rope is sleeved on the two shafts; when the ellipse definition is demonstrated, the drawing rope is a non-telescopic closed type thin rope, and the length of the closed type thin rope is larger than the distance between the two shafts; the technical importance is to finish drawing by rolling between the rope and the painting brush, the positioning system is incomplete, the ellipse parameters are not well and quickly determined, only simple ellipses can be demonstrated, the method cannot be used for the aspects of accurate drawing, machining and the like, and the applicability is not enough.

The patent application No. 201610230017.5 discloses an integrated plotter, which comprises two bases, a first polished rod shaft and a second polished rod shaft, wherein the first polished rod shaft and the second polished rod shaft are connected with the two bases, one end of the second polished rod shaft is hinged with the first polished rod shaft through a sliding block, an M rod and an N rod below a sliding groove are hinged through shaft sleeves, and one end of the N rod is provided with a chalk supporting frame. The curve plotter can only be used for classroom teaching, and has insufficient technical precision in engineering technology and industrial and agricultural production.

Disclosure of Invention

In order to solve the technical problems, the technical scheme adopted by the invention is as follows:

the oval demonstration of parameter equation is drawn and is cut all-in-one, including support, pivot mechanism, minor axis slide, major axis slide, interchange linker, radial bull stick, painting brush, drawing board, crank, pivot mechanism, minor axis slide, major axis slide are arranged in on the support respectively, pivot mechanism is arranged in to radial bull stick, interchange linker is arranged in between major axis slide and the radial bull stick, the intersection of minor axis slide and major axis slide is arranged in to the painting brush, square pipe frame's rear end is arranged in to the drawing board, the front end of pivot mechanism is arranged in to the crank.

In a further technical scheme, the radial rotating rod comprises an eighth rectangular plate, a second circular tube, a third circular tube and a fourth circular tube, the eighth rectangular plate is a straight hard plate rod, the front side surface of the eighth rectangular plate is sequentially provided with a ninth groove and a fourth scale from top to bottom, a tenth sliding block and an eleventh sliding block are sequentially arranged on the ninth groove from left to right, the tenth sliding block and the eleventh sliding block are both provided with lock sliding blocks, a vertical third round pipe is arranged on the tenth sliding block, a first indicator light is arranged at the front end of the third round pipe, a vertical fourth circular tube is arranged on the eleventh sliding block, a second indicator light is arranged at the front end of the fourth circular tube, a second round pipe is arranged at the left end of the eighth rectangular plate, a second nail hole is arranged on the second round pipe, the third round tube and the fourth round tube are inner inserted tubes, and the first indicator light and the second indicator light are bidirectional spot lights.

Compared with the prior art, the invention has the advantages that:

1. the parameter equation ellipse demonstration drawing and cutting integrated machine is simple to operate, and can complete all demonstration, curve drawing and the like only by pushing and rotating the handle.

2. The invention discloses a parameter equation ellipse demonstration drawing and cutting integrated machine which has complete functions: the demonstration and the track drawing of an elliptic parameter equation with any parameter can be completed; the curve expressed by the parameter equation has high drawing accuracy and strong applicability: can be demonstrated and drawn at any angle in various occasions. The method is suitable for teaching, carving, engineering design, machining and the like.

3. At present, no product of the type is available on the market, and the parametric equation ellipse demonstration drawing and cutting all-in-one machine is compact in structure, low in cost, safe, reliable and light.

Drawings

Fig. 1 is a schematic structural view of the present invention.

Fig. 2 is a schematic structural view of the stent of the present invention.

Fig. 3 is a schematic structural view of the rotating shaft mechanism of the present invention.

Figure 4 is a schematic view of the construction of the short shaft runner of the present invention.

Fig. 5 is a schematic view of a long axis slide according to the present invention.

Fig. 6 is a schematic structural view of the overpass connector of the present invention.

Fig. 7 is a schematic structural view of the radial rotating rod of the present invention.

Fig. 8 is a schematic diagram of a brush according to the present invention.

Fig. 9 is a schematic structural diagram of the drawing board of the present invention.

Fig. 10 is a schematic view of the structure of the crank handle of the present invention.

In the drawings: 1-bracket, 11-square tube frame, 12-first groove rod, 13-second groove rod, 14-third groove rod, 15-fourth groove rod, 16-adjusting ground foot, 17-adjusting sucker, 18-first slider, 19-second slider, 110-third slider, 111-fourth slider, 112-first screw, 113-first nut, 114-prism base, 115-second screw, 116-second nut, 117-spherical sucker, 118-first scale, 119-first rectangular hole, 120-first rectangular plate, 121-first coordinate system; 2-a rotating shaft mechanism, 21-a cuboid shaft bracket, 22-a first round shaft rod, 23-a quadrangular joint, 24-a first circular ring disc, 25-a second circular ring disc, 26-a first circular shaft hole and 27-a first nail hole; 3-a short shaft slideway, 31-a second rectangular plate, 32-a first wedge-shaped plate, 33-a second wedge-shaped plate, 34-a first groove, 35-a fifth slide block, 36-a first circular shaft hole, 37-a second groove, 38-a sixth slide block, 39-a second circular shaft hole and 310-a second scale; 4-long shaft slideway, 41-third rectangular plate, 42-third groove, 43-seventh slide block, 44-third circular shaft hole, 45-fourth groove, 46-eighth slide block, 47-fifth groove, 48-ninth slide block and 49-third scale; 5-interchange communicating device, 51-communicating device main board, 52-first outer inserting block, 53-first inner inserting block, 54-second outer inserting block, 55-second inner inserting block, 511-fourth rectangular plate, 512-first circular tube, 521-fifth rectangular plate, 522-sixth groove, 523-fourth circular shaft hole, 524-first spring, 525-first circular rod, 526-square back wedge block, 527-seventh groove, 528-right angle wedge block, cuboid-box frame, 532-eighth groove, 533-sixth rectangular plate, 534-fifth circular shaft hole, 535-second circular rod, 536-electromagnetic push rod device, 537-seventh rectangular plate, 538-second spring and 539-touch switch; 6-radial rotating rod, 61-eighth rectangular plate, 62-second circular tube, 63-third circular tube, 64-fourth circular tube, 65-ninth groove, 66-tenth sliding block, 67-eleventh sliding block, 68-fourth scale, 69-first indicator light, 610-second indicator light and 611-second nail hole; 7-a painting brush, 71-a fifth round tube, 72-a third round ring plate, 73-a third spring, 74-a round pen rod, 75-a fourth round ring plate, 76-a conical pen point, 77-a first pin and 78-a third indicator light; 8-a drawing board, 81-an eighth rectangular plate, 82-a clamp and 83-a second coordinate system; 9-crank, 91-elliptical plate, 92-third round bar, 93-sixth round tube, 94-blocking disc and 95-square hole;

Detailed Description

The technical solutions of the present invention are further described below with reference to the accompanying drawings.

As shown in fig. 1-10, the parametric equation ellipse demonstration, drawing and cutting integrated machine comprises a support 1, a rotating shaft mechanism 2, a short axis slideway 3, a long axis slideway 4, a flyover connector 5, a radial rotating rod 6, a painting brush 7, a drawing board 8 and a crank 9, wherein the rotating shaft mechanism 2, the short axis slideway 3 and the long axis slideway 4 are respectively arranged on the support 1, the radial rotating rod 6 is arranged on the rotating shaft mechanism 2, the flyover connector 5 is arranged between the long axis slideway 4 and the radial rotating rod 6, the painting brush 7 is arranged at the intersection of the short axis slideway 3 and the long axis slideway 4, the drawing board 8 is arranged at the rear part of a square tube frame 11, and the crank 9 is arranged at the front end of the rotating shaft mechanism 2.

As shown in fig. 1 and 2, the support 1 includes a square tube frame 11, a first groove rod 12, a second groove rod 13, a third groove rod 14, a fourth groove rod 15, an adjusting foot 16, and an adjusting suction cup 17, the square tube frame 11 includes a rectangular frame formed by eight square tubes, the square tube is eight edges of the rectangular frame, the first groove rod 12 is disposed between the square tubes at the left and right ends of the square tube frame 11, a first slider 18 is disposed in the groove of the first groove rod 12, the second groove rod 13 is disposed between the square tubes at the upper and lower sides of the left side of the square tube frame 11, a second slider 19 is disposed in the groove of the second groove rod 13, the third groove rod 14 is disposed between the square tubes at the left and right ends of the bottom of the square tube frame 11, a third slider 110 is disposed in the groove of the third groove rod 14, the fourth groove rod 15 is disposed between the square tubes at the upper and lower ends of the right side of the square tube frame 11, a fourth slider 111 is disposed in the, the first slot rod 12 and the third slot rod 14 are symmetrical up and down and located at the rear end, and the second slot rod 13 and the fourth slot rod 15 are symmetrical left and right and located at the front end. Square pipe frame 11 bottom surface is equipped with adjusts lower margin 16, it includes first screw rod 112, first nut 113, terrace with edge base 114 to adjust lower margin 16, first screw rod 112 one end is equipped with terrace with edge base 114, terrace with edge base 114 upper end is equipped with first nut 113, it fixes on square pipe frame 11 bottom surface four angles to adjust lower margin 16. Square pipe frame 11 trailing flank is equipped with adjusts sucking disc 17, it includes second screw rod 115, second nut 116, spherical suction cup 117 to adjust sucking disc 17, the cover is equipped with second nut 116 in the middle of second screw rod 115, second nut 116 rear end is equipped with spherical suction cup 117, adjust sucking disc 17 and fix second screw rod 115 on square pipe frame 11 trailing flank four angles respectively. The front side surface of the square pipe frame 11 is provided with a fixed first rectangular plate 120, the first rectangular plate 120 is a transparent hard thin plate, the center of the first rectangular plate 120 is provided with a first rectangular hole 119, and a first coordinate system 121 and a first scale 118 for representing an angle are arranged around the first rectangular hole 119.

As shown in fig. 1 and 3, the rotating shaft mechanism 2 includes a rectangular shaft frame 21, a first circular shaft rod 22, and a quadrangular prism joint 23, the rectangular shaft frame 21 is a rectangular hard plate, a through-hole first circular shaft hole 26 is provided in the middle of the rectangular shaft frame 21, the first circular shaft rod 22 is provided in the first circular shaft hole 26, a second circular ring disk 25 is sleeved on the upper end of the circumferential surface of the first circular shaft rod 22, a first circular ring disk 24 is provided at the rear end of the rectangular shaft frame 21, the inner circumferences of the first circular ring disk 24 and the second circular ring disk 25 are fixed on the first circular shaft rod 22, the second circular ring disk 25 is provided at the front portion of the rectangular shaft frame 21, the quadrangular prism joint 23 is provided at the center of the front end side surface of the first circular shaft rod 22, and the rear end of the first circular shaft rod 22 is provided with a first.

The rotating shaft mechanism 2 fixes the cuboid shaft frame 21 in the first rectangular hole 119 of the first rectangular plate 120 of the bracket 1, and the quadrangular joint 23 faces forwards.

As shown in fig. 1 and 4, the short-axis slideway 3 includes a second rectangular plate 31, a first wedge-shaped plate 32 and a second wedge-shaped plate 33, the second rectangular plate 31 is a thick straight hard plate strip, a second scale 310 and a first groove 34 are sequentially arranged on the surface of the second rectangular plate 31 from front to back, a fifth slider 35 is arranged in the first groove 34, and a first circular shaft hole 36 is arranged on the fifth slider 35. A second groove 37 is formed below the second rectangular plate 31, a sixth sliding block 38 is arranged in the second groove 37, and a second circular shaft hole 39 is formed in the sixth sliding block 38. The fifth slide block 35 and the sixth slide block 36 do not affect each other when freely sliding, and the centers of the first circular shaft hole 36 and the second circular shaft hole 39 are on the same straight line. A first wedge-shaped plate 32 is arranged behind the second rectangular plate 31, a second wedge-shaped plate 33 is arranged in front of the second rectangular plate 31, and the first wedge-shaped plate 32 and the second wedge-shaped plate 33 are the same triangular prism-shaped lath.

The short-axis slideway 3 is formed by fixing two ends of a second rectangular plate 31 on a second slide block 19 and a fourth slide block 111 of the bracket 1 respectively, and the second scale 310 is arranged in front.

As shown in fig. 1 and 5, the long-axis slide 4 includes a third rectangular plate 41, a seventh slide block 43, an eighth slide block 46, and a ninth slide block 48, where the third rectangular plate 41 is a thick straight hard plate strip, a third scale 49 and a third groove 42 are provided on the surface of the third rectangular plate 41 from front to back, the third groove 42 is a through groove, the seventh slide block 43 is provided in the third groove 42, and the seventh slide block 43 is provided with a third circular shaft hole 44. A fourth groove 45 is formed in the rear face of the third rectangular plate 41, the fourth groove 45 is an impermeable groove, and an eighth sliding block 46 is arranged in the fourth groove 45. The front face of the third rectangular plate 41 is provided with a fifth groove 47, the fifth groove 47 is an impermeable groove, a ninth sliding block 48 is arranged in the fifth groove 47, and the seventh sliding block 43, the eighth sliding block 46 and the ninth sliding block 48 do not affect each other when freely sliding.

The long-axis slide way 4 is used for fixing two ends of a third rectangular plate 41 on a first slide block 18 and a third slide block 110 of the bracket 1 respectively, the eighth slide block 46 and the ninth slide block 48 are positioned on the left side and the right side respectively, and the third scale 49 is in front.

As shown in fig. 1 and 6, the overpass connector 5 includes a connector main board 51, a first outer insertion block 52, a first inner insertion block 53, a second outer insertion block 54, and a second inner insertion block 55, where the connector main board 51 includes a fourth rectangular board 511 and a first circular pipe 512, the fourth rectangular board 511 is a thin hard board, and a vertical first circular pipe 512 is disposed in the middle of the surface of the fourth rectangular board 511. The right end of the bottom surface of the main board 51 of the communicating vessel is provided with a first outer inserting block 52, the first outer inserting block 52 comprises a fifth rectangular board 521, a first round bar 525, a square back wedge block 526 and a right-angle wedge block 528, the fifth rectangular board 521 is a thick and hard board, the bottom surface of the fifth rectangular board 521 is provided with a sixth groove 522, the sixth groove 522 is a groove with a rectangular opening, the middle upper part of the inner right wall of the sixth groove 522 is respectively provided with a first spring 524 and a fourth round shaft hole 523, the outlet of the fourth round shaft hole 523 is arranged on the right side surface of the fifth rectangular board 521, the spiral first spring 524 is fixed outside the fourth round shaft hole 523, the first round bar 525 is arranged in the fourth round shaft hole 523 and the first spring 524, the outer end of the first spring 524 is fixed on the first round bar 525, the square back wedge block 526 is arranged on the first round bar 525, and the square back wedge block 526 consists of a triangular prism and a square column wedge block, the square back wedge block 526 is provided with a seventh groove 527 on the triangular prism wedge block, the square back wedge block 526 is sleeved on the first round rod 525 through the seventh groove 527 and is positioned on the right side of the fifth rectangular plate 521, the outer end of the first round rod 525 is provided with a right-angle wedge block 528, and the inclined surface of the right-angle wedge block 528 is in contact with the inclined surface of the square back wedge block 526. The square back wedge 526 is forcibly pushed, the right-angle wedge 528 moves outward, the left end of the first round bar 525 retracts into the wall, and the pushing is stopped, and the left end of the first round bar 525 is extended under the influence of the first spring 524. The seventh slots 527 and their attachments are equidistantly disposed on the fifth rectangular plate 521.

A first inner inserting block 53 is arranged below the first outer inserting block 52, the first inner inserting block 53 is a cuboid box frame 531, a sixth rectangular plate 533, a second round bar 535, an electromagnetic push rod device 536, a seventh rectangular plate 537 and a touch switch 539, the cuboid box frame 531 comprises a cuboid box in the shape enclosed by six hard rectangular plates, an eighth groove 532 is arranged on the top plate of the cuboid box frame 531, the eighth groove 532 is a rectangular through groove, the sixth rectangular plate 533 is arranged in the eighth groove 532, the sixth rectangular plate 533 is a rectangular hard plate strip, the cross section of the sixth rectangular plate is smaller than the opening of the sixth groove 522, a fifth round shaft hole 534 is arranged at the upper part of the sixth rectangular plate 533, the diameter of the fifth round shaft hole 534 is larger than that of the first round bar 525, a second round bar 535 is arranged at the lower end of the sixth rectangular plate 533, the electromagnetic push rod device 536 is arranged at the other end of the second round bar 535, and the electromagnetic push rod device 536 is fixed on the wall of the cuboid box frame 531, the electromagnetic push rod 536 is powered on to extend the second round rod 535, and the second round rod 535 retracts automatically when power is off. The at least one eighth groove 532 and its attachments are uniformly disposed on the top and inside of the rectangular box frame 531, and the sixth rectangular plate 533 opposes the sixth groove 522. The right side of the rectangular box frame 531 is provided with a seventh rectangular plate 537, a second spring 538 is arranged on the seventh rectangular plate 537, the second spring 538 is provided with a touch switch 539, the touch switch 539 is rectangular, an internal switch controls the electromagnetic push rod 536, the touch switch 539 is pushed to be in contact with the seventh rectangular plate 537 to be powered off, the push switch 539 stops being pushed to automatically rebound, and the electromagnetic push rod 536 is powered on. The touch switches 539 are equidistantly disposed on a seventh rectangular plate 537 and are located opposite to the square back wedge 526 on the first plug-in block 52. The sixth rectangular plate 533 of the first inner insert 53 is inserted into the sixth slot 522 of the first outer insert 52, the first round rod 525 is inserted into the fifth round axle hole 534 and locked, and the first inner insert 53 and the first outer insert 52 are integrated.

The second external insertion block 54 is the same as the first external insertion block 52, and is disposed at the other end of the lower surface of the connector main board 51, in the opposite direction to the first external insertion block 52. The second inner insert block 55 is the same as the first inner insert block 53, and is arranged below the second outer insert block 54, the direction of the second inner insert block is opposite to that of the first inner insert block 53, the second inner insert block 55 and the first inner insert block 53 are respectively fixed on the eighth slide block 46 and the ninth slide block 48 of the long-axis slide way 4 by the integrated interchange communicating device 5, and the first circular tube 512 faces forwards.

As shown in fig. 1 and 7, the radial direction rotating rod 6 includes an eighth rectangular plate 61, a second circular tube 62, a third circular tube 63, and a fourth circular tube 64, the eighth rectangular plate 61 is a straight hard plate rod, the front side surface of the eighth rectangular plate 61 is provided with a ninth slot 65 and a fourth scale 68 in sequence from top to bottom, the ninth slot 65 is provided with a tenth slider 66 and an eleventh slider 67 in sequence from left to right, the tenth slider 66 and the eleventh slider 67 are both locking sliders, the tenth slider 66 is provided with a vertical third circular tube 63, the front end of the third circular tube 63 is provided with a first indicator lamp 69, the eleventh slider 67 is provided with a vertical fourth circular tube 64, the front end of the fourth circular tube 64 is provided with a second indicator lamp 610, the left end of the eighth rectangular plate 61 is provided with the second circular tube 62, the second circular tube 62 is provided with a second nail hole 611, the third circular tube 63 and the fourth circular tube 64 are both inner insertion tubes, the first indicator light 69 and the second indicator light 610 are both bidirectional lights.

The radial rotating rod 6 is formed by sleeving a second circular tube 62 on the first circular shaft rod 22 of the rotating shaft mechanism 2, fixing the second circular shaft rod 22 and the first nail hole 27 through a screw, inserting the third circular tube 63 into the first circular shaft hole 36 of the fifth sliding block 35 on the short-shaft slideway 3, and inserting the fourth circular tube 64 into the first circular tube 512 on the interchange communicating device 5.

As shown in fig. 1 and 8, the painting brush 7 includes a fifth circular tube 71, a third circular ring plate 72, a pen holder 74, and a fourth circular ring plate 75, the top end of the fifth circular tube 71 is provided with a third indicator light 78, the third indicator light 78 is a bidirectional spot light, the lower end of the circumferential surface of the fifth circular tube 71 is provided with a first pin 77, the lower end of the fifth circular tube 71 is provided with the third circular ring plate 72, the inner circumference of the third circular ring plate 72 is fixed on the fifth circular tube 71, the bottom surface of the third circular ring plate 72 is provided with a spiral third spring 73, the lower end of the third spring 73 is provided with a fixed fourth circular ring plate 75, an inner circular hole of the fourth circular ring plate 75 is provided with a fixed circular pen rod 74, the upper end of the pen holder 74 penetrates through the third spring 73 and is inserted into the fifth circular tube 71, and the lower end of the pen holder 74 is provided with a conical pen tip 76.

The upper end of a fifth round tube 71 of the painting brush 7 passes through the third round shaft hole 44 of the long shaft slide 4 and then is fixed in the second round shaft hole 39 of the short shaft slide 3, and the tip 76 of the conical pen faces backwards.

As shown in fig. 1 and 9, the drawing board 8 includes a ninth rectangular plate 81 and a clamp 82, the ninth rectangular plate 81 is a hard straight thick plate, the clamp 82 is disposed in the middle of the surface of the ninth rectangular plate 81, and a second coordinate system 83 is disposed in the middle of the ninth rectangular plate 81.

The drawing board 8 fixes a ninth rectangular plate 81 at the rear part of the square pipe frame 11 of the bracket 1, and the second coordinate system is in front.

As shown in fig. 1 and 10, the crank 9 includes an elliptical plate 91, a third round rod 92 and a sixth round rod 93, the elliptical plate 91 is a hard thick plate, one end of the elliptical plate 91 is provided with a square hole 95, the other end of the elliptical plate 91 is provided with a vertical third round rod 92, the third round rod 92 is provided with the sixth round rod 93, the sixth round rod 93 is sleeved on the third round rod 92, the outer end of the third round rod 92 is provided with a blocking disc 94, and the outer diameter of the blocking disc 94 is larger than the inner diameter of the sixth round rod 93.

The crank 9 is formed by sleeving a square hole 95 on the quadrangular joint 23 of the rotating shaft mechanism 2, and the sixth circular tube 93 faces forwards.

The invention discloses a parameter equation ellipse demonstration drawing and cutting all-in-one machine which has the working principle that according to the fact that two spur racks on a circular gear rotate to move reversely, by means of equidistant tangential motion between the spur racks and the circular gear, when one end of each spur rack is fixed, the motion trail of the circular gear is an ellipse. The method is characterized in that: the operation is simple, and all functions can be completed by only shaking the handle under the initial condition. The functions are complete: the demonstration and the track drawing of the ellipse with any parameter can be completed; the curve drawing accuracy is high, the structure is compact, the cost is low, and the carrying is convenient; the applicability is strong: can be demonstrated and drawn at any angle in various occasions. The method is suitable for teaching, carving, engineering design, machining and the like.

The invention relates to an ellipse demonstration drawing and cutting all-in-one machine of a parameter equation, which has the function of demonstrating the ellipse parameter equation and comprises the following operation steps:

firstly, assembling the instrument, 1] placing the frustum pyramid base 114 of the support 1 at four points on the platform, and screwing the first nut 113 to enable the square tube frame 11 to be in a stable state. 2] placing the drawing board 8 on the support 1. 3] the long axis slide 4 is placed on the first slider 18 and the third slider 110. Taking the interchange communicating device 5 containing three electromagnetic push rods 536 in the first insert block 53, switching on the power supply to place the integrated interchange communicating device 5 on the long-axis slideway 4, sequentially marking the electromagnetic push rods 536 arranged from bottom to top as A, B and C, and indicating a touch switch 539, a square back wedge 526 and the like corresponding to the same electromagnetic push rod 536 by A, B and C. 5] the stud runner 3 is placed on the second slide 19 and the fourth slide 111. 6] the brush 7 is placed on the third circular shaft hole 44 of the long axis slide 4 and the second circular shaft hole 39 of the short axis slide 3, and the conical tip 76 is retracted and fixed by the first pin 77. 7] the rotating shaft mechanism 2 is arranged on the bracket 1. And 8, a radial rotating rod 6 is arranged at the inner end of the rotating shaft mechanism 2 and is connected with the long shaft slideway 4 and the short shaft slideway 3. 9] the crank 9 is disposed at the front end of the spindle mechanism 2.

Setting symbols: 1]The coordinate system of the drawing board 8 is set as Oxy, an ellipse drawn by taking the point O as the center in Oxy is recorded as an ellipse OQ, and Q is an ellipse upper moving point. 2]The first coordinate system 121 on the first rectangular plate 120 is set to O₁x₁y₁， O₁x₁y₁The projection on the drawing board 8 coincides with Oxy. 3]The projections of the second scale 310 and the third scale 49 on the drawing board 8 are parallel to the Ox axis Oy axis respectively。4]The light beam of the third indicator light 78 on the brush 7 is kept perpendicular to the drawing board 8, and the position of the conical pen point 76 in the coordinate system Oxy is coincident with the point Q. 6]The projection of the coordinate system of the paper on the drawing board 8 coincides with Oxy. 7]The parametric equation for the ellipse OQ is: x ═ acos θ, y ═ bsin θ, (0)<b<a, 0 is more than or equal to theta and less than or equal to 2 pi), the long axis length is 2a, and the short axis length is 2 b. 8]The central line of the radial rotating rod 6 and the axis O₁x₁ ⁺The projection of theta on the drawing board 8 is polar axis and horizontal axis Ox⁺The included angle of (b) is a parameter of the ellipse OQ.

Thirdly, adjusting the initial position: 1]And determining the characteristic values a and b and the central point O of the ellipse OQ, and turning on the power supply of the indicator lamp. 2]A coordinate system Oxy, ellipse vertexes A (a, 0), B (0, B), C (-a, 0), D (0, -B), and a reference point A are drawn₁(b，0)、B₁(0，a)、C₁(-b，0)、D₁The paper (0, -a) is fixed on the drawing board 8. 3]And separating the third round pipe (63) and the fourth round pipe (64) on the radial rotating rod 6 from the short-shaft slideway 3 and the interchange communicating vessel 5. 4]The long-axis slideway 4 is moved to coincide with the Oy axis, and the interchange communicating vessel 5 is slid to align the center of the first circular tube 512 with the reference point B₁(0，a)。5]The short axis slide 3 is moved to coincide with the Ox axis, the light beam of the third indicator light 78 on the brush 7 is projected at the vertex B (0, B), and the fifth slider is slid to align the center of the first circular axis hole 36 with the third indicator light 78. 6]Rotating the radial rotating rod 6 to be consistent with the long-axis slide way 4, connecting the third circular tube 63 with the short-axis slide way 3 and locking the tenth slide block 66, wherein the scale value at the tenth slide block 66 is the half-short axial length on the polar diameter, namely the value of b, connecting the fourth circular tube 64 with the interchange communicating device 5 and locking the eleventh slide block 67, and the scale value at the eleventh slide block 67 is the half-long axial length on the polar diameter, namely the value of a. 7]When the radial rotating rod 6 is rotated clockwise by rotating the crank 9 to coincide with the short-shaft slideway 3, the light beam of the first indicator lamp 69 is projected at the reference point A₁At (b, 0), the light beam of the third indicator light 78 coincides with the light beam of the second indicator light 610, both of which hit the ellipse vertex a (a, 0), stopping the swing and fixing the crank 9. 8]The indicator light is turned off.

Fourthly, demonstrating an ellipse parameter equation: the parameter equation is mainly the parameter change of the ellipse and various relations, and is as follows: x is acos theta, y is bsin theta, (0< b < a, 0 ≦ theta ≦ 2 pi), the locus of the moving point Q (x, y) is an ellipse, the major axis is 2a, and the minor axis is 2 b. 1] turn on the indicator light, the first indicator light 69 is the position of the ellipse with the semi-minor axis length of b on the pole diameter, the second indicator light 610 is the position of the ellipse with the semi-major axis length of a on the pole diameter, and the third indicator light 78 is the position of the moving point on the ellipse. 2, demonstrating the change of a first quadrant ellipse, namely theta is more than or equal to 0 and less than or equal to pi/2, rotating the crank 9 to enable the radial rotating rod 6 to rotate anticlockwise, enabling the first indicator light 69 and the second indicator light 610 to respectively do circular motion, enabling the third indicator light 78 to gradually lag behind the radial rotating rod 6 from the superposition of the third indicator light 78 and the second indicator light 610, enabling three light spots to be in a right triangle shape, enabling the third indicator light 78 to be always in a right-angled vertex, enabling the third indicator light 78 to gradually approach the first indicator light 69 until the third indicator light 78 is superposed when the radial rotating rod 6 is close to the major axis slide way 4, and enabling the right triangle to become a. And 3] demonstrating the change of a second quadrant ellipse, namely pi/2 is more than or equal to theta and is less than or equal to pi, rotating the crank 9 to enable the radial rotating rod 6 to rotate anticlockwise, continuing to respectively do circular motion by the first indicator light 69 and the second indicator light 610, leading the third indicator light 78 to the radial rotating rod 6 from the superposition with the first indicator light 69, enabling the three light spots to be in a reverse right-angled triangle shape, enabling the third indicator light 78 to be still in a right-angled vertex, enabling the third indicator light 78 to gradually approach the second indicator light 610 when the radial rotating rod 6 is close to the short-axis slide way 3 until the third indicator light 78 is superposed, and enabling the right-angled triangle to become a straight-line. And 4, demonstrating the ellipse change of a third quadrant, namely, phi is not more than theta and not more than 3 pi/2, rotating the crank 9 to enable the radial rotating rod 6 to rotate anticlockwise, enabling the first indicator light 69 and the second indicator light 610 to respectively do circular motion, enabling the third indicator light 78 to gradually lag behind the radial rotating rod 6 from the superposition of the third indicator light 78 and the second indicator light 610, enabling three light spots to be in a right triangle shape, enabling the third indicator light 78 to be always in a right-angled vertex, enabling the third indicator light 78 to gradually approach the first indicator light 69 until the third indicator light 78 is superposed when the radial rotating rod 6 is close to the major axis slide way 4, and enabling the right triangle to become a straight line. And 5, demonstrating the change of a fourth quadrant ellipse, namely 3 pi/2 is more than or equal to theta and less than or equal to 2 pi, rotating the crank 9 to enable the radial rotating rod 6 to rotate anticlockwise, continuing to respectively perform circular motion on the first indicator light 69 and the second indicator light 610, leading the third indicator light 78 to the radial rotating rod 6 gradually from the superposition with the first indicator light 69, enabling the three light spots to be in a reverse right-angled triangle shape, enabling the third indicator light 78 to be still in a right-angled vertex, enabling the third indicator light 78 to gradually approach the second indicator light 610 when the radial rotating rod 6 is close to the short-axis slide way 3 until the third indicator light 78 is superposed, and enabling the right-angled triangle to become a straight-line. 6] on the drawing board 8, the light points of the first indicator lamp 69 and the second indicator lamp 610 make concentric circular motions on the drawing board 8, respectively, and the light point of the third indicator lamp 78 makes an elliptical motion on the drawing board 8. 7] the light spot of the third indicator light 78 follows two cycles relative to the other two light spots, i.e. the second light spot is split to follow from behind the radial rotor 6 to coincide with the first light spot, and from in front of the radial rotor 6 to coincide with the second light spot, and then the second light spot is split to follow from behind the radial rotor 6 to coincide with the first light spot, and from in front of the radial rotor 6 to coincide with the second light spot. 8] the light spot of the third indicator light 78 makes two circular movements in the coordinate system with the radial rotary shaft 6 as the longitudinal axis.

Fifthly, finishing the demonstration: and turning off the indicator light to restore the device to the initial state.

The invention relates to a parametric equation ellipse demonstration drawing and cutting integrated machine, which has the function of continuously drawing a complete ellipse and comprises the following operation steps:

firstly, assembling an instrument: the same as that for demonstrating the ellipse parametric equation.

Setting symbols: the same as that for demonstrating the ellipse parametric equation.

Thirdly, adjusting the initial position: the same as that for demonstrating the ellipse parametric equation.

Fourthly, drawing an ellipse: 1] the tip 76 of the adjustment cone is fixed by a fourth pin 77 after contacting the paper on the palette 8. 2-5 ] are the same as demonstrating the ellipse parametric equations. 6] the conical nib 76 is pulled off the sheet and the image drawn on the sheet is an ellipse.

Fifthly, drawing is finished: the device is restored to the initial state.

The parameter equation ellipse demonstration drawing and cutting integrated machine can draw on any fixed plane, as long as the spherical sucker 117 on the support 1 is adsorbed on the fixed plane, the second nut 116 is screwed to enable the square tube frame 11 to be in a stable state, the drawing board 8 is detached, the drawing pen 7 is adjusted to be in contact with the plane, and an ellipse with any parameter can be drawn on the fixed plane by following the drawing method on the drawing board 8.

The parameter equation ellipse demonstration drawing and cutting integrated machine can continuously cut an ellipse groove on a plane plate, and an ellipse with any parameter can be cut on a flat plate as long as a conical pen point 76 on a painting brush 7 is replaced by a cutter or an oxygen gun.

The invention discloses a parameter equation ellipse demonstration drawing and cutting all-in-one machine, which has economic value and application prospect: with the technical progress and economic development, advanced equipment is required to improve the teaching effect and the product quality, a parameter equation ellipse demonstration, drawing and cutting integrated machine which is simple to operate and convenient to use is urgently needed, only high education nationwide has schools of thousands, and numerous engineering design and gear manufacturing enterprises are needed, so that the quantity is considerable, the market prospect is very wide, and good economic benefit and social benefit are achieved.

The parts not involved in the present invention are the same as or can be implemented using the prior art.

As noted above, while the present invention has been shown and described with reference to certain preferred embodiments, it is not to be construed as limited thereto. Various changes in form and detail may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.