Mechanical device for drawing hyperbolic curve
By designing a mechanical device including a main ruler, a focuser, a guide plate and a traction device, the problem that traditional drawing instruments cannot adjust the focal length and real axis length of the hyperbola is solved, and the accurate and steady drawing of the hyperbola is achieved, which simplifies the operate.
Patent Information
- Application Number
- CN202421190636.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2024-05-29
- Publication Date
- 2025-01-10
- Estimated Expiration
- Not applicable · inactive patent
AI Technical Summary
Traditional drawing instruments cannot freely adjust the focal length and real axis length when drawing hyperbolas, and the operation is cumbersome.
A mechanical device including a main ruler, a fixed focus, a guide plate, a traction device and a thrust elastic member is designed. By adjusting the position of the fixed focus and the traction force of the traction device, free adjustment and precise drawing of the hyperbolic focus are achieved.
It realizes flexible adjustment of hyperbolic focal length and real axis length, improves the accuracy and robustness of drawing, and simplifies the operation process.
Smart Images
Figure CN222329350U_ABST
Abstract
Description
Technical Field
[0001] The utility model relates to the field of drawing devices, in particular to a mechanical device for drawing hyperbolas. Background Art
[0002] Hyperbola is an important research object in analytic geometry of middle school mathematics. Generally speaking, we call the set of points in the plane whose absolute value of the difference in distance from two fixed points is equal to a non-zero constant a hyperbola, and the set of points in the plane whose absolute value of the difference in distance from two fixed points is equal to a non-zero constant a branch of the hyperbola.
[0003] Hyperbola has important inspirational value in middle school mathematics teaching. In the actual teaching process, it is often necessary to demonstrate the drawing of hyperbola. Traditional drawing instruments cannot freely adjust the focal length and real axis length when drawing hyperbola, and the operation is cumbersome. Utility Model Content
[0004] The utility model provides a mechanical device for drawing a hyperbola, so as to solve the problem that the focal length and the real axis length cannot be freely adjusted when drawing a hyperbola by a traditional drawing instrument.
[0005] To achieve the above purpose, the utility model provides the following solutions:
[0006] A mechanical device for drawing a hyperbola, comprising a main scale, a first focuser, a second focuser, a first guide plate, a second guide plate, a first plotter, a second plotter, a first traction device and a second traction device, wherein the first focuser and the second focuser are both mounted on the main scale, the first guide plate and the second guide plate are respectively mounted on both sides of the main scale, the end of the first guide plate and the end of the second guide plate are both rotatably connected to the main scale and the rotation axis is perpendicular to the plane where the main scale is located, the first guide plate is provided with a first slide groove along its length direction, the second guide plate is provided with a second slide groove along its length direction, the first plotter is slidably mounted on the first guide plate a slide groove, the second plotter is slidably installed in the second slide groove, the first traction device and the second traction device are respectively installed at two ends of the main scale, the traction end of the first traction device passes through the first focus fixer and is connected to the first plotter and the second plotter at the same time, the traction end of the second traction device passes through the second focus fixer and is connected to the first plotter and the second plotter at the same time, a first thrust elastic member is installed at one end of the first slide groove close to the main scale, the first plotter is connected to the first thrust elastic member, a second thrust elastic member is installed at one end of the second slide groove close to the main scale, the second plotter is connected to the second thrust elastic member.
[0007] The utility model draws the hyperbola by changing the focus of the hyperbola drawn by the position adjustment device of the first focuser and the second focuser of the main scale, and by pulling the first plotter and the second plotter through the first traction device and the second traction device. The operation is simple, and the positions of the two focuses can be freely adjusted, so that the focal length and the real axis length of the hyperbola can be adjusted conveniently.
[0008] The principle of drawing a hyperbola using the device of the utility model is as follows: the positions of the first focuser and the second focuser on the main scale are adjusted and fixed, the first traction device is provided with two traction ends, which are respectively connected to the first plotter and the second plotter after passing through the first focuser, and the second traction device is also provided with two traction ends, which are respectively connected to the first plotter and the second plotter after passing through the second focuser, and the main scale is fixed to the drawing platform (touch screen, blackboard, etc.) where the hyperbola needs to be drawn, and the lengths of the traction ends of the first traction device and the second traction device are adjusted so that the spacings between the first focuser and the first plotter and the second plotter are equal, the spacings between the second focuser and the first plotter and the second plotter are equal, and the distance between the first plotter (or the second plotter) and the first focuser is equal. The difference in distance between the first plotter (or the second plotter) and the second focuser is the real axis of the hyperbola. The first traction device and the second traction device are started to simultaneously pull the first plotter and the second plotter to draw one branch of the hyperbola on the drawing platform (touch screen, blackboard, etc.), wherein the first plotter and the second plotter each draw half of one branch of the hyperbola, and, for the first plotter, the thrust direction of the first thrust elastic member is opposite to the combined force direction of the traction force of the first traction device and the second traction device on the first plotter, so that when the first plotter is pulled by the first traction device and the second traction device to move, there will be no problem of excessive movement, that is, the movement of the first plotter is relatively stable, avoiding deviation in the drawing of the hyperbola, and the same is true for the second plotter.
[0009] Furthermore, the main ruler is provided with a third slide groove along its length direction, and the first focus fixer and the second focus fixer are both slidably installed in the third slide groove. The third slide groove facilitates the first focus fixer and the second focus fixer to adjust their positions.
[0010] Furthermore, the first focus fixer and the second focus fixer both include a focus bolt and a focus nut, the diameters of the focus bolt and the focus nut are both larger than the width of the third slide groove, and a threading hole is provided at the upper end of the focus bolt.
[0011] The focusing bolt is the main part of the first focusing device and the second focusing device. After passing through the third slide groove, the focusing nut is put on it. When the focusing nut is loosened, the first focusing device and the second focusing device can slide freely in the third slide groove. When tightened, the first focusing device and the second focusing device are fixed on the main scale, which is convenient for adjusting the focus position. The threading hole is for the traction ends of the first traction device and the second traction device to pass through.
[0012] Furthermore, the first traction device and the second traction device each include a traction motor and two traction ropes, and the two traction ropes are respectively connected to the first plotter and the second plotter after passing through the threading hole.
[0013] The first traction device and the second traction device pull the first plotter and the second plotter by contracting the traction rope, so that the first plotter and the second plotter move along the path of the hyperbola, thereby drawing a hyperbola.
[0014] Furthermore, the traction motor of the first traction device and the traction motor of the second traction device are installed in parallel to ensure that the first traction device and the second traction device are started and stopped at the same time, and the hyperbola is drawn correctly.
[0015] Furthermore, the traction rope between the threading hole and the first plotter and the traction rope between the threading hole and the second plotter are both sleeved with a third thrust elastic member.
[0016] The third thrust elastic member can ensure that the traction rope inside it is always straight, thereby ensuring that the length of the real axis remains unchanged, allowing the first plotter and the second plotter to always be located on the path of the drawn hyperbola, thereby enhancing the accuracy and robustness of drawing the hyperbola.
[0017] Furthermore, the first plotter and the second plotter each include a pen cover, a pen core installed in the pen cover, a rope ring installed on the side wall of the pen cover, and a fixing bolt passing through the side wall of the pen cover.
[0018] Various drawing pens can be placed in the pen cover and fixed by a fixing bolt. The rope ring is used to fix the end of the traction rope, so that the first drawing device and the second drawing device can be moved by the traction rope. The fixing bolt can also adjust the position of the pen tip of the pen core.
[0019] Furthermore, a limiting plate is provided on the side wall of the pen cover, and the diameter of the limiting plate is greater than the width of the first slide slot and the second slide slot. The limiting plate is used to prevent the first plotter and the second plotter from falling from the first slide slot and the second slide slot.
[0020] Furthermore, a plurality of suction cups for fixing the main ruler are installed on the main ruler, and the main ruler is fixed to the drawing platform through the suction cups.
[0021] Furthermore, the length of the first thrust elastic member under normal conditions is greater than the length of the first slide slot, and the length of the second thrust elastic member under normal conditions is greater than the length of the second slide slot, so that the first thrust elastic member provides thrust for the first plotter, and the second thrust elastic member provides thrust for the second plotter, which is opposite to the direction of the combined traction force provided by the first traction device and the second traction device, so that the movement process of the first plotter and the second plotter is relatively stable.
[0022] The normal state of the first thrust elastic member and the second thrust elastic member is a state without being acted upon by external force.
[0023] One or more technical solutions provided by the utility model have at least the following technical effects or advantages:
[0024] (1) The utility model draws the hyperbola by changing the focus of the hyperbola drawn by the position adjustment device of the first focuser and the second focuser of the main scale, and by pulling the first plotter and the second plotter through the first traction device and the second traction device. The operation is simple, and the positions of the two focuses can be freely adjusted, so that the focal length and real axis length of the hyperbola can be adjusted easily.
[0025] (2) The focus position of the hyperbola is adjusted by sliding or fixing the first focuser and the second focuser on the main scale through the focus bolt and the focus nut, and the focus adjustment is free and convenient;
[0026] (3) The traction rope inside the third thrust elastic member is kept straight at all times, thereby ensuring that the length of the real axis remains unchanged, so that the first plotter and the second plotter are always located on the path of the drawn hyperbola, thereby enhancing the accuracy and robustness of drawing the hyperbola;
[0027] (4) The first thrust elastic member provides thrust for the first plotter, and the second thrust elastic member provides thrust for the second plotter, which is opposite to the direction of the combined traction force provided by the first traction device and the second traction device, so that the movement process of the first plotter and the second plotter is relatively stable, ensuring the accuracy of drawing. BRIEF DESCRIPTION OF THE DRAWINGS
[0028] The drawings described herein are used to provide a further understanding of the embodiments of the present utility model, constitute a part of the present utility model, and do not constitute a limitation on the embodiments of the present utility model;
[0029] Figure 1 It is a schematic diagram of the overall structure of the drawing device in the utility model;
[0030] Figure 2 This is a schematic diagram of the structure of the first focuser in the utility model;
[0031] Figure 3 It is a cross-sectional view of the first plotter structure in the utility model;
[0032] Among them, 1-main ruler, 101-third slide groove, 102-suction cup, 21-first focuser, 211-focusing bolt, 212-focusing nut, 213-threading hole, 22-second focuser, 31-first guide plate, 311-first slide groove, 312-first thrust elastic member, 32-second guide plate, 321-second slide groove, 322-second thrust elastic member, 41-first plotter, 411-pen cover, 412-pen core, 413-rope ring, 414-fixing bolt, 415-limiting plate, 42-second plotter, 51-first traction device, 511-traction rope, 512-third thrust elastic member, 52-second traction device. DETAILED DESCRIPTION
[0033] In order to more clearly understand the above-mentioned purpose, features and advantages of the utility model, the utility model is further described in detail below in conjunction with the accompanying drawings and specific embodiments. It should be noted that the embodiments of the utility model and the features in the embodiments can be combined with each other without conflict.
[0034] In the following description, many specific details are set forth to facilitate a full understanding of the present invention. However, the present invention may also be implemented in other ways different from those within the scope of this description. Therefore, the protection scope of the present invention is not limited to the specific embodiments disclosed below.
[0035] Example 1
[0036] This embodiment provides a mechanical device for drawing a hyperbola, such as Figure 1-Figure 3As shown, it includes a main scale 1, a first focuser 21, a second focuser 22, a first guide plate 31, a second guide plate 32, a first plotter 41, a second plotter 42, a first traction device 51 and a second traction device 52, the first focuser 21 and the second focuser 22 are both installed on the main scale 1, the first guide plate 31 and the second guide plate 32 are respectively installed on both sides of the main scale 1, the end of the first guide plate 31 and the end of the second guide plate 32 are both rotatably connected to the main scale 1 and the rotation axis is perpendicular to the plane where the main scale 1 is located, the first guide plate 31 is provided with a first slide groove 311 along its length direction, the second guide plate 32 is provided with a second slide groove 321 along its length direction, the first plotter 41 is slidably installed in the first slide groove 311, the The second plotter 42 is slidably installed in the second slide groove 321, and the first traction device 51 and the second traction device 52 are respectively installed at both ends of the main scale 1. The traction end of the first traction device 51 passes through the first focus fixer 21 and is connected to the first plotter 41 and the second plotter 42 at the same time. The traction end of the second traction device 52 passes through the second focus fixer 22 and is connected to the first plotter 41 and the second plotter 42 at the same time. A first thrust elastic member 312 is installed at one end of the first slide groove 311 close to the main scale 1, and the first plotter 41 is connected to the first thrust elastic member 312. A second thrust elastic member 322 is installed at one end of the second slide groove 321 close to the main scale 1, and the second plotter 42 is connected to the second thrust elastic member 322.
[0037] Among them, the main scale 1 is provided with scales along its length direction, and the zero scale line is preferably set in the middle of the main scale 1. The first focuser 21 and the second focuser 22 are respectively located on both sides of the zero scale line, the first guide plate 31 and the second guide plate 32 are respectively located on both sides of the main scale 1, the traction direction of the first traction device 51 and the second traction device 52 is parallel to the long side of the main scale 1, and the first thrust elastic member 312 and the second thrust elastic member 322 are preferably thrust springs.
[0038] In a more preferred embodiment, the main ruler 1 is provided with a third slide groove 101 along its length direction, and the first focuser 21 and the second focuser 22 are both slidably mounted in the third slide groove 101. The scales on the main ruler 1 are preferably arranged on both sides of the third slide groove 101.
[0039] In a more preferred embodiment, the main ruler 1 is provided with a plurality of suction cups 102 for fixing the main ruler 1. Preferably, four suction cups 102 are provided, which are respectively located at four corners of the same side of the main ruler 1.
[0040] In a more preferred embodiment, the length of the first thrust elastic member 312 in a normal state is greater than the length of the first slide groove 311 , and the length of the second thrust elastic member 322 in a normal state is greater than the length of the second slide groove 321 .
[0041] Example 2
[0042] On the basis of Example 1, Figure 1 and Figure 2 As shown, the first focus fixer 21 and the second focus fixer 22 both include a focus bolt 211 and a focus nut 212 , the diameters of the focus bolt 211 and the focus nut 212 are both larger than the width of the third slide groove 101 , and a threading hole 213 is provided at the upper end of the focus bolt 211 .
[0043] The length of the focusing bolt 211 is greater than the depth of the third slide groove 101 , and is less than or equal to the total height of the main scale 1 , where the total height of the main scale 1 includes the height of the main scale 1 and the thickness of the suction cup 102 .
[0044] In a more preferred embodiment, the first traction device 51 and the second traction device 52 both include a traction motor and two traction ropes 511 . The two traction ropes 511 are connected to the first plotter 41 and the second plotter 42 respectively after passing through the threading hole 213 .
[0045] Among them, the two traction motors use motors of the same model and are respectively installed at the two ends of the main scale 1. The traction direction provided is toward the middle of the main scale 1, and the traction rope 511 is preferably a fishing line.
[0046] In a more preferred embodiment, the traction motor of the first traction device 51 and the traction motor of the second traction device 52 are installed in parallel. The two traction motors are started and stopped by a main switch.
[0047] In a more preferred embodiment, the traction rope 511 between the threading hole 213 and the first plotter 41 and the traction rope 511 between the threading hole 213 and the second plotter 42 are both sleeved with a third thrust elastic member 512. The third thrust elastic member 512 is preferably a thrust spring, and the length of the thrust spring is greater than the distance between the threading hole 213 and the first plotter 41 and the distance between the threading hole 213 and the second plotter 42.
[0048] Example 3
[0049] On the basis of Example 1, Figure 1 and Figure 3 As shown, the first plotter 41 and the second plotter 42 each include a pen cover 411 , a pen core 412 installed in the pen cover 411 , a rope ring 413 installed on the side wall of the pen cover 411 , and a fixing bolt 414 passing through the side wall of the pen cover 411 .
[0050] Preferably, two rope rings 413 are provided on the side wall of the pen cover 411 , and the two rope rings 413 are symmetrical about the axis of the pen cover 411 , and are used to fix two traction ropes.
[0051] In a more preferred embodiment, a limiting plate 415 is further provided on the side wall of the pen cover 411 , and a diameter of the limiting plate 415 is greater than the width of the first sliding groove 311 and the second sliding groove 321 .
[0052] Although the preferred embodiments of the present invention have been described, those skilled in the art may make other changes and modifications to these embodiments once they have learned the basic creative concept. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications falling within the scope of the present invention.
[0053] Obviously, those skilled in the art can make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. Thus, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include these modifications and variations.
Claims
1. A mechanical device for drawing a hyperbola, characterized in that: The invention comprises a main scale (1), a first focuser (21), a second focuser (22), a first guide plate (31), a second guide plate (32), a first plotter (41), a second plotter (42), a first traction device (51) and a second traction device (52), wherein the first focuser (21) and the second focuser (22) are both mounted on the main scale (1), the first guide plate (31) and the second guide plate (32) are respectively mounted on both sides of the main scale (1), the end of the first guide plate (31) and the end of the second guide plate (32) are both rotatably connected to the main scale (1), and the rotation axis is perpendicular to the plane where the main scale (1) is located, the first guide plate (31) is provided with a first slide groove (311) along its length direction, the second guide plate (32) is provided with a second slide groove (321) along its length direction, the first plotter (41) is slidably mounted in the first slide groove (311), the The second plotter (42) is slidably mounted in the second slide groove (321); the first traction device (51) and the second traction device (52) are respectively mounted at two ends of the main scale (1); the traction end of the first traction device (51) passes through the first focus fixer (21) and is connected to the first plotter (41) and the second plotter (42); the traction end of the second traction device (52) passes through the second focus fixer (22) and is connected to the first plotter (41) and the second plotter (42); a first thrust elastic member (312) is mounted at one end of the first slide groove (311) close to the main scale (1); the first plotter (41) is connected to the first thrust elastic member (312); a second thrust elastic member (322) is mounted at one end of the second slide groove (321) close to the main scale (1); the second plotter (42) is connected to the second thrust elastic member (322).
2. A mechanical device for drawing a hyperbola according to claim 1, characterized in that: The main scale (1) is provided with a third sliding groove (101) along its length direction, and the first focuser (21) and the second focuser (22) are both slidably mounted in the third sliding groove (101).
3. A mechanical device for drawing a hyperbola according to claim 2, characterized in that: The first focus fixer (21) and the second focus fixer (22) both comprise a focus fixer bolt (211) and a focus fixer nut (212); the diameters of the focus fixer bolt (211) and the focus fixer nut (212) are both larger than the width of the third slide groove (101); and a threading hole (213) is provided at the upper end of the focus fixer bolt (211).
4. A mechanical device for drawing a hyperbola according to claim 3, characterized in that: The first traction device (51) and the second traction device (52) both comprise a traction motor and two traction ropes (511); the two traction ropes (511) are respectively connected to the first plotter (41) and the second plotter (42) after passing through the threading hole (213).
5. A mechanical device for drawing a hyperbola according to claim 4, characterized in that: The traction motor of the first traction device (51) and the traction motor of the second traction device (52) are installed in parallel.
6. A mechanical device for drawing a hyperbola according to claim 3, characterized in that: The traction rope (511) between the threading hole (213) and the first plotter (41), and the traction rope (511) between the threading hole (213) and the second plotter (42) are both sleeved with a third thrust elastic member (512).
7. A mechanical device for drawing a hyperbola according to claim 1, characterized in that: The first plotter (41) and the second plotter (42) both comprise a pen cover (411), a pen core (412) installed in the pen cover (411), a rope ring (413) installed on the side wall of the pen cover (411), and a fixing bolt (414) passing through the side wall of the pen cover (411).
8. A mechanical device for drawing a hyperbola according to claim 7, characterized in that: A limiting plate (415) is also provided on the side wall of the pen cover (411), and the diameter of the limiting plate (415) is greater than the width of the first sliding groove (311) and the second sliding groove (321).
9. A mechanical device for drawing a hyperbola according to claim 1, characterized in that: A plurality of suction cups (102) for fixing the main ruler (1) are installed on the main ruler (1).
10. A mechanical device for drawing a hyperbola according to claim 1, characterized in that: The length of the first thrust elastic member (312) in a normal state is greater than the length of the first slide groove (311), and the length of the second thrust elastic member (322) in a normal state is greater than the length of the second slide groove (321).