Rotating curved surface demonstration device and use method thereof

Abstract

The invention discloses a rotating curved surface demonstration device and a using method thereof, and relates to the technical field of demonstration devices.The rotating curved surface demonstration device comprises a supporting box body, a mounting box is arranged at the top of the supporting box body, two Z shafts are vertically arranged above the mounting box, and a connecting block is arranged in the middle of the two Z shafts; two X shafts and two Y shafts are arranged on the periphery of the connecting block respectively. A mounting box, two Z shafts, two X shafts, two Y shafts, a curved block, a fixed magnet, a movable magnet, a lamp bead and other components are arranged at the top of a supporting box body, a driving assembly is arranged in the mounting box and can be used for driving the X shafts, the Y shafts or the Z shafts to rotate, the shape of the curved block can be changed, and therefore different curves can be simulated, and besides, the shape of the curved block can be changed. And the same curve can rotate around the X axis, the Y axis or the Z axis respectively, so that the shape of a rotating curved surface formed under different rotation conditions can be intuitively known, memory points during teaching are increased, and interestingness and interactivity are enhanced.

Description

Technical Field

[0001] The present invention relates to the technical field of demonstration devices, and in particular to a rotating curved surface demonstration device and a use method thereof. Background Art

[0002] The technology of rotating surface demonstration originates from the in-depth study of mathematics and geometry, especially the development in the fields of differential geometry and computational geometry. The rotating surface is a three-dimensional surface formed by rotating a plane curve around a fixed axis. This type of surface has a wide range of applications in engineering design, computer graphics and physical simulation, especially in industries such as aerospace, automotive design and building structures. It is crucial to understand the shape, properties and fluid dynamics of the surface. Although modern computer simulation technology can generate accurate rotating surface models, traditional two-dimensional diagrams and static display methods cannot effectively present the spatial characteristics and change laws of these surfaces. Therefore, the development of rotating surface demonstration equipment to display the shape and properties of the surface in a dynamic way has become a common demand of academia and industry. This type of equipment can not only intuitively present the geometric properties of the rotating surface, but also help users deeply understand complex mathematical concepts and physical phenomena by changing the rotation speed and observation angle.

[0003] Many mathematical concepts, such as three-dimensional geometry and the characteristics of rotational bodies, are difficult to present with static images. The study of rotational surfaces involves multiple disciplines such as mathematics, physics, and engineering. When teaching, it is difficult to clearly show the rotational surface diagrams of different curves using lesson plans alone, let alone show the differences between the rotational surfaces presented by the same curve around different axes. Summary of the invention

[0004] The present invention provides a rotating curved surface demonstration device and a use method thereof, which have the beneficial effect of simulating rotating curved surfaces formed when different curves rotate around different axes.

[0005] To achieve the above object, the present invention provides the following technical solutions:

[0006] A rotating curved surface demonstration device and a method for using the same, comprising a supporting box body, a mounting box being provided on the top of the supporting box body, two vertically arranged Z axes being provided above the mounting box, a connecting block being provided in the middle of the two Z axes, two X axes and two Y axes being respectively provided around the connecting block, the two X axes and the two Y axes being staggered with each other, a driving assembly being provided inside the mounting box, the driving assembly being used for driving the X axis, the Y axis and the Z axis to rotate, the two X axes, the Y axis and the Z axis being rotatably connected to inner rods inside, the outer part of the inner rod being movably connected to a supporting rod, the end of the supporting rod being fixedly connected to a fixed magnet, and also being movably connected to a moving magnet, a curved block being clamped between the fixed magnet and the moving magnet, and a plurality of lamp beads being installed inside the curved block.

[0007] Optionally, the driving assembly includes a driving gear and a driven gear rotatably connected to the inside of the installation box, the driving gear is meshed with the driven gear, and the axle end of the driven gear is detachably connected to the end of one of the Z axes.

[0008] Optionally, the outer wall of the inner rod is constructed with a device groove, the end of the device groove is fixedly connected with a spring, the end of the spring is fixedly connected with a clamping column, and the outer wall of the support rod is constructed with a plurality of limiting holes, and the limiting holes match the clamping column.

[0009] Optionally, the X-axis, the Y-axis, and the Z-axis are hollow inside.

[0010] Optionally, the X-axis, the Y-axis, the Z-axis and the connecting block are movably connected.

[0011] Optionally, a plurality of clamp plates 1 and buckle 1 are fixedly connected to the end of the axle of the driven gear, and clamp plates 2 and buckle 2 are fixedly connected to the ends of the X-axis, the Y-axis and the Z-axis, and the clamp plates 1 and the buckle 2 match each other, and the clamp plates 2 and the buckle 1 match each other.

[0012] Optionally, a protective cover is provided on the top of the supporting box body, and the surrounding of the protective cover is made of transparent material.

[0013] Optionally, a drawer is movably connected inside the support box body.

[0014] Optionally, the protective cover is detachably connected to the outside with a support plate.

[0015] Optionally, the protective cover is configured with mounting holes at positions corresponding to the ends of the X-axis and the Y-axis.

[0016] The present invention provides a rotating curved surface demonstration device and a method for using the same, which have the following beneficial effects compared with the prior art:

[0017] 1. The top of the support box is provided with a mounting box, two Z axes, two X axes, two Y axes, a curved block, a fixed magnet, a movable magnet, a lamp bead and other components. The interior of the mounting box is provided with a driving assembly, which can be used to drive the X axis, Y axis or Z axis to rotate. The shape of the curved block can be changed, so that different curves can be simulated. In addition, the same curve can be rotated around the X axis, Y axis or Z axis respectively, so that the shape of the rotating surface formed under different rotation conditions can be intuitively understood, which increases the memory points during teaching and enhances the fun and interactivity.

[0018] 2. The X-axis, Y-axis, and Z-axis are equipped with inner rods, support rods, springs, clamping columns and other components, which can adjust the position of the curved block in different planes. The adjustability is high, so that the position of the curved block is more in line with the specific position of the curve formed by the mathematical formula in the coordinate axis, so that students can understand the rotation curve represented by the mathematical formula more accurately and make it more concrete. BRIEF DESCRIPTION OF THE DRAWINGS

[0019] Figure 1 It is a schematic diagram of the three-dimensional structure of the present invention;

[0020] Figure 2 It is a schematic diagram of a partial three-dimensional structure of the present invention;

[0021] Figure 3 For the present invention Figure 2 A in the enlarged view;

[0022] Figure 4 is a three-dimensional cross-sectional view of the installation box of the present invention;

[0023] Figure 5 It is a schematic diagram of the three-dimensional structure of the support rod of the present invention;

[0024] Figure 6 For the present invention Figure 5 The enlarged view of point B in the figure;

[0025] Figure 7 For the present invention Figure 5 A three-dimensional cross-sectional view of

[0026] Figure 8 For the present invention Figure 7 Enlarged view of point C in the figure.

[0027] In the figure: 1. Support box body; 2. Mounting box; 3. Z-axis; 4. Connecting block; 5. X-axis; 6. Y-axis; 7. Inner rod; 8. Support rod; 9. Fixed magnet; 10. Moving magnet; 11. Curved block; 12. Lamp bead; 13. Driving gear; 14. Driven gear; 15. Device slot; 16. Spring; 17. Clamp column; 18. Limiting hole; 19. Clamp plate 1; 20. Buckle 1; 21. Clamp plate 2; 22. Buckle 2; 23. Protective cover; 24. Drawer; 25. Support plate; 26. Mounting hole. DETAILED DESCRIPTION

[0028] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0029] See also Figures 1 to 8 The present invention provides a technical solution: a rotating curved surface demonstration device and a method for using the same, comprising a supporting box body 1, a mounting box 2 is arranged on the top of the supporting box body 1, a driving assembly is arranged inside the mounting box 2, two vertically arranged Z axes 3 are arranged above the mounting box 2, a connecting block 4 is arranged in the middle of the two Z axes 3, two X axes 5 and two Y axes 6 are arranged around the connecting block 4, the two X axes 5 and the two Y axes 6 are arranged alternately, the two X axes 5, the Y axis 6, and the Z axis 3 are all rotatably connected with inner rods 7 inside, the outer part of the inner rod 7 is movably connected with a supporting rod 8, the end of the supporting rod 8 is fixedly connected with a fixed magnet 9, and is also movably connected with a moving magnet 10, a curved block 11 is clamped between the fixed magnet 9 and the moving magnet 10, and a plurality of lamp beads 12 are installed inside the curved block 11.

[0030] The curved block 11 has a certain degree of bending, and will not recover after changing the curvature, similar to a gooseneck. In other embodiments, the curved block 11 can also be set to an unchangeable shape, so it is necessary to set a plurality of different shapes to represent different curves. The rotational connection between the inner rod 7 and the inner wall of the X-axis 5, the Y-axis 6, and the Z-axis 3 is an interference fit. When the inner rod 7 rotates a certain angle, it can stop at the rotated position. When in use, the corresponding inner rod 7 is rotated to a position perpendicular to the X-axis 5, the Y-axis 6, and the Z-axis 3. When not in use, the corresponding inner rod 7 is rotated to a position horizontal to the X-axis 5, the Y-axis 6, and the Z-axis 3 for easy storage. When the device is used, the two X-axes 5, the Y-axis 6, and the Z-axis 3 are respectively connected to the corresponding positions of the connecting block 4. The curved block 11 is arranged so that it corresponds to the positive axis of the X-axis 5, the negative axis of the X-axis 5, the positive axis of the Y-axis 6, the negative axis of the Y-axis 6, the positive axis of the Z-axis 3 and the negative axis of the Z-axis 3 on the coordinate axis respectively, and then the curved block 11 is placed in the plane corresponding to the curve formed by the mathematical formula, and the corresponding inner rod 7 is rotated out from the X-axis 5, the Y-axis 6 or the Z-axis 3, and then the length of the support rod 8 is moved to a suitable position, the moving magnetic block is moved, and the curved block 11 is placed between the fixed magnetic block and the moving magnetic block. The curved block 11 is clamped and fixed in the corresponding plane by the magnetism between the fixed magnetic block and the moving magnetic block, and then the corresponding X-axis 5, Y-axis 6 or Z-axis 3 is driven to rotate by the driving component, and the switch of the lamp bead 12 is started at the same time, so that the rotation curve formed by the rotation of the curved block 11 is more intuitive and clear.

[0031] Furthermore, the driving assembly includes a driving gear 13 and a driven gear 14 rotatably connected inside the mounting box 2 , the driving gear 13 meshes with the driven gear 14 , and the axle end of the driven gear 14 is detachably connected to the end of one of the Z axes 3 .

[0032] See also Figure 2 , Figure 3 , Figure 4 In this example, the Z-axis 3 is driven to rotate by a driving gear 13 and a driven gear 14 meshing with each other. The Z-axis 3 can also be driven to rotate by a pulley. There is a certain transmission ratio between the driving gear 13 and the driven gear 14. The driving gear 13 can be driven to rotate by a motor or manually. When the driving gear 13 rotates, it drives the driven gear 14 meshing with it to rotate, thereby driving one of the Z-axes 3 to rotate.

[0033] Furthermore, the outer wall of the inner rod 7 is constructed with a device groove 15, the end of the device groove 15 is fixedly connected with a spring 16, the end of the spring 16 is fixedly connected with a clamping column 17, and the outer wall of the support rod 8 is constructed with a plurality of limiting holes 18, which match the clamping column 17.

[0034] See also Figure 7 , Figure 8The length between the inner rod 7 and the support rod 8 can also be extended and retracted by electric drive. The manual adjustment method adopted in this embodiment can increase interactivity. When in use, the corresponding clamping column 17 is pressed into the device groove 15, and the support rod 8 is moved outside the inner rod 7. After moving to a suitable position, the clamping column 17 is released. The clamping column 17 pops out from the device groove 15 under the elastic force of the spring 16 and is stuck in the limiting hole 18, thereby fixing the support rod 8 to the outside of the inner rod 7.

[0035] Furthermore, the interiors of the X-axis 5 , the Y-axis 6 , and the Z-axis 3 are hollow.

[0036] See also Figure 2 The interior of the X-axis 5, the Y-axis 6, and the Z-axis 3 is set to be hollow, and the support rod 8 and the inner rod 7 can be placed inside, which reduces the space occupied and is easy to store.

[0037] Furthermore, the X-axis 5 , the Y-axis 6 , the Z-axis 3 and the connecting block 4 are movably connected.

[0038] See also Figure 2 There is a certain friction force between the ends of the X-axis 5, the Y-axis 6, and the Z-axis 3 and the connection position of the connecting block 4. For example, a rotation damper is installed at the connection. The X-axis 5, the Y-axis 6, and the Z-axis 3 will not rotate without the action of external force, and will only rotate after a certain force is applied.

[0039] Furthermore, a plurality of clamping plates 19 and buckles 20 are fixedly connected to the axle end of the driven gear 14, and clamping plates 21 and buckles 22 are fixedly connected to the ends of the X-axis 5, the Y-axis 6, and the Z-axis 3. The clamping plates 19 and the buckles 22 match each other, and the clamping plates 21 and the buckles 1 20 match each other.

[0040] See also Figure 3 , Figure 4 When in use, align the end of the axle of the driven gear 14 with the end of the X-axis 5, the Y-axis 6 or the Z-axis 3, and then rotate the axle of the driven gear 14 so that the clamping plate 19 and the buckle 22 are engaged together, and the clamping plate 21 and the buckle 1 20 are engaged together, which is convenient for connection and disassembly.

[0041] Furthermore, a protective cover 23 is provided on the top of the supporting box body 1, and the surrounding of the protective cover 23 is made of transparent material.

[0042] See also Figure 1 The protective cover 23 is used to prevent the curved block 11 from hurting people due to excessive speed when rotating, so the protective cover 23 plays a protective role, and each surface of the protective cover 23 is detachable and assembled, and the transparent material also makes it easy for people to see the shape of the rotating curved surface from the outside.

[0043] Furthermore, a drawer 24 is movably connected inside the supporting box body 1 .

[0044] See also Figure 1 The drawer 24 is used to store components such as the X-axis 5, the Y-axis 6, and the Z-axis 3. The multiple components are detachable, which is convenient for carrying and storage.

[0045] Furthermore, a support plate 25 is detachably connected to the outside of the protective cover 23 .

[0046] See also Figure 1 The support plate 25 is used to place the installation box 2. When the corresponding X-axis 5, Y-axis 6, and Z-axis 3 need to be driven to rotate, the driven gear 14, the driving gear 13, and the installation box 2 can be placed in corresponding positions. The installation box 2 is also provided with a support member for support.

[0047] Furthermore, the protective cover 23 is configured with mounting holes 26 at positions corresponding to the ends of the X-axis 5 and the Y-axis 6 .

[0048] See also Figure 1 , Figure 2 This makes it easier to connect the axle of the driven gear 14 and the corresponding ends of the X-axis 5 and the Y-axis 6 together.

[0049] Working principle: When using the rotating curved surface demonstration device and its use method, first take out the corresponding parts from the drawer 24, then connect the two X-axis 5, Y-axis 6, and Z-axis 3 to the corresponding positions of the connecting block 4, so that they correspond to the positive axis of the X-axis 5, the negative axis of the X-axis 5, the positive axis of the Y-axis 6, the negative axis of the Y-axis 6, the positive axis of the Z-axis 3, and the negative axis of the Z-axis 3 on the coordinate axis, respectively, and then place the curved block 11 in the plane corresponding to the curve formed by the mathematical formula, and then rotate the inner rod 7 out from the inside of the X-axis 5, the Y-axis 6, and the Z-axis 3, press the corresponding clamping column 17 into the device groove 15, and move the support rod 8 outside the inner rod 7. After moving to a suitable position, release the clamping column 17, and the clamping column 17 pops out from the device groove 15 under the elastic force of the spring 16 and is stuck in the limiting hole 18, and the length of the support rod 8 is adjusted to a suitable position, or the length of the support rod 8 is adjusted to a suitable position by electric drive.

[0050] Then move the movable magnetic block and place the curved block 11 between the fixed magnetic block and the movable magnetic block. The curved block 11 is clamped and fixed in the corresponding plane by the magnetism between the fixed magnetic block and the movable magnetic block. Then assemble the protective cover 23 and cover it above the supporting box body 1. Then align the end of the axle of the driven gear 14 with the end of the X-axis 5, the Y-axis 6 or the Z-axis 3. Rotate the axle of the driven gear 14 so that the clamping plate 19 and the buckle 22 are engaged together, and the clamping plate 21 and the buckle 1 20 are engaged together. After the connection is completed, start the motor to drive the driving gear 13 to rotate, thereby driving the driven gear 14 to rotate, and driving the X-axis 5, the Y-axis 6 or the Z-axis 3 connected thereto to rotate, and also driving the curved block to rotate. Turn on the control switch of the lamp bead 12 so that the rotating curved surface formed by the rotation of the curved block is clearly displayed.

[0051] The standard parts used in this embodiment can be purchased directly from the market, and the non-standard structural components recorded in the specification and the drawings can also be directly processed according to the existing technical common sense. At the same time, the connection method of each component adopts the mature conventional means in the prior art, and the machinery, parts and equipment all adopt the conventional models in the prior art, so no specific description will be given here.

[0052] Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that various changes, modifications, substitutions and variations may be made to the embodiments without departing from the principles and spirit of the present invention, and that the scope of the present invention is defined by the appended claims and their equivalents.

Claims

1. A rotating curved surface demonstration device and a method of using the same, comprising a supporting box (1), characterized in that: A mounting box (2) is arranged on the top of the supporting box body (1), two vertically arranged Z axes (3) are arranged above the mounting box (2), a connecting block (4) is arranged in the middle of the two Z axes (3), two X axes (5) and two Y axes (6) are arranged around the connecting block (4), the two X axes (5) and the two Y axes (6) are arranged in an interlaced manner, and a driving component is arranged inside the mounting box (2), the driving component is used to drive the X axes (5), the Y axes (6) ), the Z axis (3) rotates, the two X axes (5), the Y axis (6), and the Z axis (3) are all rotatably connected to an inner rod (7) inside, the outer part of the inner rod (7) is movably connected to a support rod (8), the end of the support rod (8) is fixedly connected to a fixed magnet (9), and is also movably connected to a moving magnet (10), a curved block (11) is clamped between the fixed magnet (9) and the moving magnet (10), and a plurality of lamp beads (12) are installed inside the curved block (11).

2. The rotating curved surface demonstration device and the method of using the same according to claim 1, characterized in that: The driving assembly comprises a driving gear (13) and a driven gear (14) which are rotatably connected inside the installation box (2); the driving gear (13) is meshed with the driven gear (14); and the axle end of the driven gear (14) is detachably connected to the end of one of the Z axes (3).

3. The rotating curved surface demonstration device and the method of using the same according to claim 1, characterized in that: The outer wall of the inner rod (7) is configured with a device groove (15), the end of the device groove (15) is fixedly connected to a spring (16), the end of the spring (16) is fixedly connected to a clamping column (17), and the outer wall of the support rod (8) is configured with a plurality of limiting holes (18), and the limiting holes (18) match the clamping column (17).

4. The rotating curved surface demonstration device and the method of using the same according to claim 1, characterized in that: The interiors of the X-axis (5), the Y-axis (6), and the Z-axis (3) are hollow.

5. The rotating curved surface demonstration device and the method of using the same according to claim 1, characterized in that: The X-axis (5), the Y-axis (6), the Z-axis (3) and the connecting block (4) are movably connected.

6. The rotating curved surface demonstration device and the method of using the same according to claim 2, characterized in that: The end of the axle of the driven gear (14) is fixedly connected with a plurality of first clamping plates (19) and first clamping buckles (20); the ends of the X-axis (5), the Y-axis (6) and the Z-axis (3) are fixedly connected with second clamping plates (21) and second clamping buckles (22); the first clamping plates (19) and the second clamping buckles (22) match each other, and the second clamping plates (21) and the first clamping buckles (20) match each other.

7. The rotating curved surface demonstration device and the method of using the same according to claim 1, characterized in that: A protective cover (23) is provided on the top of the supporting box body (1), and the surrounding of the protective cover (23) is made of transparent material.

8. The rotating curved surface demonstration device and the method of using the same according to claim 1, characterized in that: The support box body (1) is movably connected to a drawer (24) inside.

9. The rotating curved surface demonstration device and the method of using the same according to claim 7, characterized in that: The exterior of the protective cover (23) is detachably connected to a support plate (25).

10. The rotating curved surface demonstration device and the method of using the same according to claim 7, characterized in that: The protective cover (23) is configured with mounting holes (26) at positions corresponding to the ends of the X-axis (5) and the Y-axis (6).

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