A parabola demonstration device

CN114863765BActive Publication Date: 2026-09-25XI'AN PETROLEUM UNIVERSITY
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Patent Information

Application Number
CN202210313057.1
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-03-28
Publication Date
2026-09-25
Estimated Expiration
2042-03-28

AI Technical Summary

Benefits of technology

[0027]1、本发明中在抛物筒体上设置有压力传感器和转角传感器,且抛物面与显示屏的显示平面相平行,使得操作人员在调节抛射角度后拉动柔性绳进行抛射工作时,装置能够根据转角传感器的转角值和压力传感器的压力值,选择相应的预先绘制的抛物线图形,进而能够在抛射物开始抛射时提前显示或者在抛射过程中同步显示或者在抛射完成之后进行显示,从而使得抛射物的轨迹和显示的抛物线重合度增高,基本达到完全重合的状态,避免了现有技术中轨迹获取不及时导致演示效果差的问题。

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Abstract

The application discloses a parabola demonstration device, which comprises a table body, a parabola assembly and a display screen arranged on the table body, the parabola assembly comprises a parabola cylinder body, a projectile arranged in the parabola cylinder body and an ejector for ejecting the projectile. The parabola cylinder body is provided with a pressure sensor and a rotation angle sensor, and the parabola surface is parallel to the display plane of the display screen. When an operator pulls a flexible rope to perform the ejection operation after adjusting the ejection angle, the device can select a corresponding pre-drawn parabola graph according to the rotation angle value of the rotation angle sensor and the pressure value of the pressure sensor, and then can display the parabola graph in advance when the projectile starts to be ejected, synchronously during the ejection process or after the ejection is completed, so that the coincidence degree of the trajectory of the projectile and the displayed parabola is increased, and the state of complete coincidence is basically achieved, and the problem that the demonstration effect is poor due to the untimely acquisition of the trajectory in the prior art is avoided.
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Description

Technical Field

[0001] This invention relates to the field of demonstration equipment technology, and in particular to a parabola demonstration device. Background Technology

[0002] In mathematics, a parabola is a plane curve that is mirror-symmetric and, when oriented approximately U-shaped (it remains a parabola even in different orientations). It applies to any of several seemingly different mathematical descriptions, which can all be proven to be identical curves.

[0003] One description of a parabola involves a point (focus) and a line (directrix). The focus does not lie on the directrix. The parabola is the locus of points in the plane equidistant from the directrix and the focus. Another description of a parabola is as a section of a cone, formed by the intersection of a conical surface and a plane parallel to the generatrix of the cone. A third description is algebraic.

[0004] A line perpendicular to the directrix and passing through the focus (i.e., the line passing through the middle of the parabola) is called the "axis of symmetry". A point on the parabola that intersects the axis of symmetry is called the "vertex" and is the point where the parabola curves most sharply. The distance between the vertex and the focus, measured along the axis of symmetry, is the "focal length". A "straight line" is a line parallel to the parabola and passes through the focus. A parabola can curve upwards, downwards, leftwards, rightwards, or in any other arbitrary direction. Any parabola can be repositioned and reshaped to fit any other parabola—that is, all parabolas are geometrically similar.

[0005] Parabolas possess the property that if they are made of a light-reflecting material, light traveling parallel to the parabola's axis of symmetry and striking its concave surface is reflected to its focal point, regardless of where the reflection occurs. Conversely, light originating from a point source at the focal point is reflected as a parallel ("collimated") beam, making the parabola parallel to its axis of symmetry. Sound and other forms of energy produce the same effect. This reflective property forms the basis of many practical applications of parabolas.

[0006] Parabolas have many important applications, ranging from parabolic antennas or parabolic microphones to car headlight reflectors and ballistic missile design. They are frequently used in physics, engineering, and many other fields.

[0007] Currently, the tools used for parabolic demonstrations are mainly free fall and mechanical or high-pressure gas jets, and then the trajectory of the projectile is directly observed. The main drawback is that it cannot display or retain the trajectory of the projectile very well.

[0008] To address the aforementioned technical problems, some improvements have been made to the existing technology, such as:

[0009] A method for optimizing the demonstration and teaching of parabolic motion in university mathematics, patent number 201811231272.7, includes the following steps: S1: Place the demonstration device in front of the classroom blackboard and place a mobile phone for image acquisition in front of the device; S2: After S1, the demonstration device shows students the parabolic trajectory of a steel ball at different launch angles. The device automatically adjusts the launch angle to make the steel ball move along different parabolic trajectories, improving accuracy and efficiency; S3: During the parabolic trajectory demonstration in S2, the mobile phone continuously takes pictures to capture the movement position of the steel ball and sends the signals to a computer to calculate the velocity of the steel ball at each position and draw a velocity curve. The computer calculates the distance between points in the photos and uses a fixed time interval between continuous photos to analyze the velocity of the steel ball at each position; S4: Display the velocity curve and the trajectory of the steel ball in S3 on a screen; S5: The computer decomposes the velocity curve on the screen and calculates the horizontal and vertical velocities, thereby helping students understand the essence of parabolic motion.

[0010] A parabolic teaching demonstration screen with patent number 202011039135.0 includes a base, a background frame, a launching mechanism, and a background plate. The background frame is disposed on the upper part of the base. The launching mechanism is disposed at one end of the base, and the launching hole of the launching mechanism is located inside the background frame. The background plate is connected to the inner side of the background frame. The launching mechanism launches a ball inside it, which then forms a parabolic motion within the background frame. The distance from the edge of the background plate to the background frame is greater than the distance from the launching mechanism to the background plate. The background panel is a display panel, and also includes a trajectory acquisition device and a controller. The trajectory acquisition device includes a longitudinal displacement grating and a transverse displacement grating disposed inside a rectangular frame. The transmitting and receiving ends of the longitudinal displacement grating are disposed on the inner sides of the upper and lower sides of the background frame. The transmitting and receiving ends of the transverse displacement grating are disposed on the left and right sides of the background frame. The longitudinal and transverse displacement gratings are electrically connected to the controller. Alternatively, the trajectory acquisition device includes a first ultrasonic rangefinder and a second ultrasonic rangefinder. The first ultrasonic rangefinder is disposed at the upper right corner of the background frame, and the second ultrasonic rangefinder is disposed at the upper left corner of the background frame. The first and second ultrasonic rangefinders are electrically connected to the controller. The controller is electrically connected to the display panel. The controller acquires the position of the launched ball through the trajectory acquisition device and converts it into image information of the corresponding position on the display panel, controlling the display panel to display a parabolic curve at the position where the trajectory of the launched ball coincides.

[0011] While the aforementioned existing technologies have many advantages, the following problems still exist:

[0012] First, the trajectory accuracy of projectiles obtained through mobile phone photography and other means is relatively low, making them unsuitable for demonstration.

[0013] Second, the complex structure of the device increases manufacturing and maintenance costs;

[0014] Third, the device has poor interactivity, and the entire process is basically automated. Summary of the Invention

[0015] The purpose of this invention is to provide a parabola demonstration device that selects a pre-drawn parabola pattern based on the angle value of the angle sensor and the pressure value of the pressure sensor, and the parabolic surface is parallel to the display plane of the display screen, thereby increasing the overlap between the trajectory of the projectile and the displayed parabola and avoiding the problem of poor demonstration effect caused by untimely trajectory acquisition in the prior art.

[0016] To achieve the above objectives, the present invention provides a parabolic demonstration device, including a platform, a parabolic assembly and a display screen mounted on the platform. The parabolic assembly includes a parabolic cylinder, a projectile disposed inside the parabolic cylinder, and a catapult for launching the projectile. The parabolic cylinder is rotatably connected to the platform via a rotating shaft. The catapult includes a launch plate, a spring, and a pressure sensor connected in sequence. The center of the launch plate is connected to a flexible pull rope, which passes through the parabolic cylinder along the axis of the launch plate and is placed outside. The extended end of the rotating shaft is provided with a rotation adjustment part, and a suction-capable body is provided on the rotating shaft at a position between the rotation adjustment part and the platform. The platform is provided with... An electromagnetic adsorption unit is provided, with the surface of the adsorbable body and the surface of the electromagnetic adsorption unit attached to each other; a first switch for turning on the electromagnetic adsorption unit is provided on the platform next to the rotation adjustment unit. When the pressure value detected by the pressure sensor is less than a preset pressure threshold, the electromagnetic adsorption unit is de-energized, and the first switch is reset; an angle sensor for detecting the rotation angle is provided on the parabolic cylinder. Based on the angle value of the angle sensor and the pressure value of the pressure sensor, a corresponding pre-drawn parabolic curve is selected and displayed on the display screen; the display screen is vertically mounted on the platform, and the parabolic cylinder is located below and to the side of the display screen, with the parabolic surface parallel to the display plane of the display screen.

[0017] Preferably, the rotation angle of the parabolic cylinder is 45° to 90°.

[0018] Preferably, a limiting post is provided on the rotation path of the parabolic cylinder, and the limiting post is fixed on the platform.

[0019] Preferably, the platform is provided with a trough for receiving the falling projectile and for moving the projectile. The trough is located below and to the side of the display screen, and the center plane of the trough in the length direction coincides with the parabolic surface. A torsion spring for resetting the parabolic cylinder is sleeved on the rotating shaft, and the reset position of the parabolic cylinder is located at the material dropping end of the trough.

[0020] Preferably, when the parabolic projectile is a spherical structure, the bottom surface of the trough is an inclined surface, and the inclined surface is inclined toward the direction of the parabolic cylinder.

[0021] Preferably, when the bottom surface of the trough is horizontal, transmission rollers are provided on both sides of the trough, and a conveyor belt is provided on the two transmission rollers. One of the transmission rollers is connected to the output end of the drive motor. When the parabolic cylinder is reset, the drive motor is started.

[0022] Preferably, when the bottom surface of the trough is horizontal, a telescopic mechanism is provided at the non-discharge end of the trough. The telescopic end of the telescopic mechanism is connected to a push plate for pushing the projectile. When the projectile cylinder is reset, the telescopic mechanism is activated.

[0023] Preferably, the display screen is a foldable screen.

[0024] Preferably, the display screen is a non-foldable screen, and the non-foldable screen is inserted into the platform.

[0025] Preferably, the bottom surface of the platform is provided with an opening for the flexible rope to extend out, and a pad is provided at the bottom of the platform, with the opening located above the supporting bottom surface of the pad.

[0026] The present invention achieves the following beneficial effects compared to the prior art:

[0027] 1. In this invention, a pressure sensor and an angle sensor are installed on the parabolic cylinder, and the parabolic surface is parallel to the display plane of the screen. This allows the device to select a pre-drawn parabolic curve based on the angle value of the angle sensor and the pressure value of the pressure sensor when the operator pulls the flexible rope to perform the launching operation after adjusting the launching angle. This allows the device to display the curve in advance when the projectile begins to be launched, simultaneously during the launching process, or after the launching is completed. This increases the overlap between the trajectory of the projectile and the displayed parabola, achieving near-perfect overlap and avoiding the problem of poor demonstration effect caused by untimely trajectory acquisition in the prior art.

[0028] 2. In this invention, the parabolic cylinder can be reset by setting a torsion spring, and the reset position of the parabolic cylinder is set at the material drop end of the trough used to receive the falling projectile, so that the projectile that has completed the parabolic demonstration can automatically enter the projectile cylinder and complete the automatic recovery of the projectile. Attached Figure Description

[0029] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0030] Figure 1 This is a schematic diagram of the structure of a parabola demonstration device according to the present invention;

[0031] Figure 2 for Figure 1 Rear view;

[0032] Figure 3 for Figure 1 Partial structural sectional view;

[0033] Figure 4 This is a schematic diagram of the parabolic component.

[0034] Figure 5 for Figure 4 A sectional view;

[0035] The components include: 1. Body, 2. Display screen, 3. Parabolic cylinder, 4. Ejector plate, 5. Spring, 6. Pressure sensor, 7. Flexible pull rope, 8. Rotating shaft, 9. Rotation adjustment part, 10. Adsorbable body, 11. Electromagnetic adsorption part, 12. First switch, 13. Angle sensor, 14. Limiting post, 15. Tank, 16. Transmission roller, 17. Conveyor belt, 18. Drive motor, and 19. Pad block. Detailed Implementation

[0036] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0037] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0038] like Figures 1 to 5As shown, the present invention provides a parabolic demonstration device, including a platform 1, a parabolic assembly and a display screen 2 disposed on the platform 1. The parabolic assembly includes a parabolic cylinder 3, a projectile disposed inside the parabolic cylinder 3, and a catapult for launching the projectile. The parabolic cylinder 3 is rotatably connected to the platform 1 via a rotating shaft 8. The catapult includes a catapult plate 4, a spring 5, and a pressure sensor 6 connected in sequence. The center of the catapult plate 4 is connected to a flexible pull rope 7, and the flexible pull rope 7 passes through the parabolic cylinder 3 along the axis of the catapult plate 4 and is placed outside. A rotation adjustment part 9 is provided at the extended end of the rotating shaft 8. An adsorption body 10 is provided on the rotating shaft 8 at a position between the rotation adjustment part 9 and the platform 1. An electromagnetic adsorption part 11 is provided on the platform 1, and the surface of the adsorption body 10 and the surface of the electromagnetic adsorption part 11 are attached to each other. A first switch 12 for turning on the electromagnetic adsorption unit 11 is provided on the side of the section 9. When the pressure value detected by the pressure sensor 6 is less than the preset pressure threshold (because the structure such as the ejector plate 4 also has a certain weight, or due to accidental operation caused by accidentally touching the flexible pull rope 7, the possibility of the pressure value detected by the pressure sensor 6 being zero is very low, so it is necessary to select an appropriate preset pressure threshold), the electromagnetic adsorption unit 11 is de-energized and the first switch 12 is reset; an angle sensor 13 for detecting the rotation angle is provided on the parabolic cylinder 3. According to the angle value of the angle sensor 13 and the pressure value of the pressure sensor 6, the corresponding pre-drawn parabolic figure is selected and displayed on the display screen 2; the display screen 2 is vertically mounted on the platform 1, and the parabolic cylinder 3 is located below and to the side of the display screen 2, and the parabolic surface is parallel to the display plane of the display screen 2. The spring 5 can be replaced with other devices with elastic reset, such as a polyurethane block, but a structure must be reserved for the flexible pull rope 7 to pass through. Similarly, the installation position of the pressure sensor 6 must also be reserved for the flexible pull rope 7 to pass through, ensuring the coaxiality of the flexible pull rope 7. The flexible pull rope 7 can also be replaced with other pulling structures, such as a pull rod, but improvements to the structure of the platform 1 are required to provide the operator with sufficient operating space. The main function of the electromagnetic adsorption part 11 is to lock the parabolic cylinder 3 after the angle adjustment is completed, preventing the parabolic cylinder 3 from rotating twice and thus failing to coincide with the selected parabola. The angle value of the angle sensor 13 and the pressure value of the pressure sensor 6 are both processed by the information receiving and processing unit and the subsequent display work is completed. The information receiving and processing unit is existing technology and will not be described in detail here. Furthermore, the structure of the information receiving and processing unit itself is not the subject of this application.

[0039] The working process of the above technical solution is as follows: The projectile is loaded into the parabolic cylinder 3, and the angle of the parabolic cylinder 3 is adjusted. At the same time, the angle sensor 13 acquires the angle information. The specific angle can be displayed on the display screen 2 or displayed separately through other external structures. After the angle is adjusted, the first switch 12 is pressed, and the electromagnetic adsorption part 11 tightly locks the adsorbable body 10. The angle information is transmitted to the information receiving and processing unit. Then, the operator pulls the flexible pull rope 7, and the pressure sensor 6 acquires the pressure information. The specific pressure information can be displayed on the display screen 2 or displayed separately through other external structures. After the pressure stabilizes, the flexible pull rope 7 is released, and the pressure information is transmitted to the information receiving and processing unit. Finally, the angle value of the angle sensor 13 and the pressure value of the pressure sensor 6 are processed by the information receiving and processing unit and the subsequent display work is completed. In summary, this invention features a pressure sensor 6 and an angle sensor 13 mounted on the parabolic cylinder 3, with the parabolic surface parallel to the display plane of the screen 2. This allows the device to select a pre-drawn parabolic curve based on the angle value of the angle sensor 13 and the pressure value of the pressure sensor 6 when the operator adjusts the launching angle and pulls the flexible rope. This curve can then be displayed in advance when the projectile begins to launch, simultaneously during launch, or after launch. This significantly increases the overlap between the projectile's trajectory and the displayed parabola, achieving near-perfect alignment and avoiding the problem of poor demonstration results caused by untimely trajectory acquisition in existing technologies.

[0040] In one specific implementation, the rotation angle of the parabolic cylinder 3 in this invention is 45° to 90°. That is, the preferred angle value of this invention does not include the plane, because the projectile is easy to move when it is launched horizontally, which leads to errors in the pressure value and the force exerted on the projectile, resulting in the problem that the actual parabola is inconsistent with the preset parabola.

[0041] To prevent the parabolic cylinder 3 from moving too much, a limiting post 14 is provided on the rotation path of the parabolic cylinder 3 in this invention. The limiting post 14 is fixed on the platform 1, that is, the movement range is limited by the limiting post 14, so as to fully ensure the demonstration effect of the device.

[0042] As a specific implementation method, in order to achieve the technical objective of automatically recovering projectiles, the platform 1 of this invention is provided with a trough 5 for receiving and moving the falling projectiles. The trough 5 is located below and to the side of the display screen 2, and the center plane of the trough 5 in the length direction coincides with the parabolic surface. A torsion spring for resetting the parabolic cylinder 3 is sleeved on the rotating shaft 8, and the reset position of the parabolic cylinder 3 is located at the material drop end of the trough 5. That is, the parabolic cylinder 3 can complete the reset work by setting the torsion spring, and the reset position of the parabolic cylinder 3 is set at the material drop end of the trough 5 for receiving the falling projectiles, so that the projectiles that have completed the parabolic demonstration can automatically enter the projectile cylinder, completing the automatic recovery of the projectiles.

[0043] As an extension of the automatic recycling technology, when the parabolic projectile in this invention is a spherical structure, the bottom surface of the trough 5 is an inclined surface, which is inclined towards the direction of the parabolic cylinder 3.

[0044] As another extension of the automatic recycling technology, when the bottom surface of the tank 5 is horizontal, transmission rollers 16 are provided on both sides of the tank 5, and a conveyor belt 17 is provided on the two transmission rollers 16. One of the transmission rollers 16 is connected to the output end of the drive motor 18. When the parabolic cylinder 3 is reset, the drive motor 18 is started.

[0045] As an extension of the automatic recycling technology, when the bottom surface of the tank 5 is horizontal, a telescopic mechanism is provided at the non-discharge end of the tank 5. The telescopic end of the telescopic mechanism is connected to a push plate for pushing the projectile. When the projectile cylinder 3 is reset, the telescopic mechanism is activated.

[0046] In order to make the device easy to store, the display screen 2 in this invention is a foldable screen.

[0047] As another implementation method of storage, the display screen 2 in this invention is a non-folding screen, which is inserted into the platform 1.

[0048] For ease of operation, the bottom surface of the platform 1 in this invention is provided with an opening for the flexible rope to extend out, and a pad 19 is provided at the bottom of the platform 1, with the opening located above the supporting bottom surface of the pad 19; furthermore, a certain pulley can be provided at the opening to ensure the pulling effect, while also ensuring the coaxiality of the flexible pull rope 7 and the ejector plate 4.

[0049] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit them. Although the present invention has been described in detail with reference to preferred embodiments, those skilled in the art should understand that modifications or equivalent substitutions can still be made to the technical solutions of the present invention, and these modifications or equivalent substitutions cannot cause the modified technical solutions to deviate from the spirit and scope of the technical solutions of the present invention.

Claims

1. A parabola demonstration device, characterized in that, The device includes a platform, a parabolic assembly mounted on the platform, and a display screen. The parabolic assembly includes a parabolic cylinder, a projectile disposed inside the parabolic cylinder, and a catapult for launching the projectile. The parabolic cylinder is rotatably connected to the platform via a rotating shaft. The catapult includes a launch plate, a spring, and a pressure sensor connected in sequence. The center of the launch plate is connected to a flexible pull rope, which passes through the parabolic cylinder along the axis of the launch plate and is positioned to the outside. The extended end of the rotating shaft is provided with a rotation adjustment part. An adsorption-capable body is provided on the rotating shaft at a position between the rotation adjustment part and the platform. The platform is provided with an electromagnetic adsorption part. The surface of the attachment is attached to the surface of the electromagnetic adsorption part; a first switch for turning on the electromagnetic adsorption part is provided on the platform next to the rotation adjustment part. When the pressure value detected by the pressure sensor is less than a preset pressure threshold, the electromagnetic adsorption part is de-energized and the first switch is reset; an angle sensor for detecting the rotation angle is provided on the parabolic cylinder. According to the angle value of the angle sensor and the pressure value of the pressure sensor, a corresponding pre-drawn parabolic figure is selected and displayed on the display screen; the display screen is vertically mounted on the platform, the parabolic cylinder is located below and to the side of the display screen, and the parabolic surface is parallel to the display plane of the display screen.

2. The parabola demonstration device according to claim 1, characterized in that: The rotation angle of the parabolic cylinder is 45° to 90°.

3. The parabola demonstration device according to claim 2, characterized in that: A limit post is provided on the rotation path of the parabolic cylinder, and the limit post is fixed on the platform.

4. A parabola demonstration device according to claim 1 or 3, characterized in that: The platform is provided with a trough for receiving and moving the falling projectile. The trough is located below and to the side of the display screen, and the center plane of the trough in the length direction coincides with the parabolic surface. A torsion spring for resetting the parabolic cylinder is sleeved on the rotating shaft. The reset position of the parabolic cylinder is located at the material dropping end of the trough.

5. A parabola demonstration device according to claim 4, characterized in that: When the projectile is a spherical structure, the bottom surface of the trough is an inclined surface, which is inclined toward the direction of the parabolic cylinder.

6. The parabola demonstration device according to claim 4, characterized in that: When the bottom surface of the trough is horizontal, transmission rollers are provided on both sides of the trough, and a conveyor belt is provided on the two transmission rollers. One of the transmission rollers is connected to the output end of the drive motor. When the parabolic cylinder is reset, the drive motor starts.

7. A parabola demonstration device according to claim 4, characterized in that: When the bottom surface of the trough is horizontal, a telescopic mechanism is provided at the non-discharge end of the trough. The telescopic end of the telescopic mechanism is connected to a push plate for pushing the projectile. When the projectile cylinder is reset, the telescopic mechanism is activated.

8. A parabola demonstration device according to claim 1, characterized in that: The display screen is a foldable screen.

9. A parabola demonstration device according to claim 1, characterized in that: The display screen is a non-foldable screen, and the non-foldable screen is inserted into the platform.

10. A parabola demonstration device according to claim 1, characterized in that: An opening for a flexible rope to extend from the bottom surface of the platform is provided, and a pad is provided at the bottom of the platform, with the opening located above the supporting bottom surface of the pad.

Citation Information

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