Simple harmonic motion demonstration instrument
By designing a simple harmonic motion demonstrator, a sine function pattern is formed on the display panel using a motor-controlled simple harmonic motion component. Combined with mobile phone software analysis, this solves the problems of difficult control, complex imaging, and difficult verification in existing technologies, achieving accurate imaging and quantitative analysis of simple harmonic motion, and reducing operational complexity and cost.
Patent Information
- Application Number
- CN202423121925.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-18
- Publication Date
- 2025-12-16
- Estimated Expiration
- 2034-12-18
AI Technical Summary
In existing technologies, the sand pendulum experiment is difficult to control, and it is difficult for teachers to move the white paper at a uniform speed when dragged manually. Furthermore, the stroboscopic photography method has high requirements, complex photo processing, difficult verification, poor real-time performance, and strict lighting requirements, making it difficult to demonstrate simple harmonic motion.
A simple harmonic motion demonstrator was designed, comprising a semi-open shell, a single-line guide rail, a horizontal drive assembly, a display panel assembly, and the mobile phone software Phyphox. The simple harmonic motion assembly is controlled by a motor to form a sine function pattern on the display panel, and the frequency and period are analyzed in real time. Quantitative analysis is achieved by fitting Excel data.
It enables precise imaging and quantitative analysis of simple harmonic motion, reduces operational complexity and cost, improves the real-time performance and repeatability of experiments, and simplifies the demonstration process for teachers.
Smart Images

Figure CN223679754U_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The utility model relates to simple harmonic motion demonstration teaching aid technical field, concretely is a simple harmonic motion demonstration instrument. BACKGROUND
[0002] Simple harmonic motion is one of the basic knowledge of high school physics mechanics, which covers Newton's second law, kinetic energy theorem, mechanical energy conservation law and other important concepts. Through the study of simple harmonic motion, students can better understand and master these basic knowledge, lay a solid foundation for subsequent learning.
[0003] Teachers often use "stroboscopic photography method" and "sand pendulum experiment" to demonstrate simple harmonic motion to help students understand and master.
[0004] Sand pendulum experiment, using ink pendulum to demonstrate simple harmonic motion of pendulum, thin line suspension of syringe as simple harmonic motion of pendulum, teachers uniform speed drag and pendulum line vertical white paper, the ink of syringe will be sprayed on the white paper to draw the motion image, through the image can judge the simple harmonic motion of pendulum.
[0005] The following deficiencies exist in "sand pendulum experiment":
[0006] 1. It is not easy to control, and the ink will be spilled to pollute the white paper, resulting in experimental failure, and the ink is easy to dye the white paper, causing image blur, affecting students' image finding rule
[0007] 2. Teachers drag the wood board artificially, it is difficult to make the white paper move at a constant speed; it is difficult for a teacher to complete the experiment alone, if students are asked to help, cooperation needs to be considered, which may affect the progress of the class.
[0008] Stroboscopic photography method, teachers guide students to fix the stroboscopic light source and high-speed camera in the appropriate position to ensure that the trajectory of simple harmonic motion can be clearly photographed. Then students adjust the flashing frequency and exposure time of the stroboscopic light source to adapt to different simple harmonic motion speed and period. After starting the experiment, students record the stroboscopic photos of simple harmonic motion and save the experimental data, and obtain the motion trajectory image through data fitting.
[0009] The following deficiencies exist in "stroboscopic photography method":
[0010] The following deficiencies exist in it:
[0011] 1. High technical requirements: the method of stroboscopic photography requires high technical requirements for photographing hardware and image processing, which makes it difficult to operate in high school physics classroom teaching. Specifically, stroboscopic photography requires short time interval for photographing, when the object speed is fast, it is easy to cause the photographed image blurred, so as to unable to carry out accurate research.
[0012] 2. Photo Processing Difficulties: Stroboscope photography yields a large number of photos, and comparing, cropping, and arranging these photos within a short period of time is a technical challenge. This increases the complexity and time cost of the experiment.
[0013] 3. Verification Difficulty: While the patterns derived from stroboscopic photographs are hypothesized, precise quantitative verification remains a challenge. This requires additional software or equipment for analysis and calculation, increasing the difficulty and complexity of the experiment.
[0014] 4. Poor real-time performance: Data obtained using stroboscopic photography is usually static and cannot reflect the motion state of objects in real time. This can lead to delays in analysis and research, hindering the timely acquisition of accurate experimental results.
[0015] 5. High lighting requirements: Stroboscopic photography typically needs to be conducted in a dark room and has strict requirements on the brightness of the light source and the flicker frequency. This limits the choice of experimental scene and the flexibility of lighting, which may affect the accuracy and repeatability of the experiment.
[0016] In summary, a simple harmonic motion demonstrator is proposed to solve the above problems. Utility Model Content
[0017] (a) Technical problems to be solved
[0018] To address the shortcomings of existing technologies, this utility model provides a simple harmonic motion demonstrator, featuring an integrated structure, convenient transportation for teachers, a more aesthetically pleasing and refined design, more accurate imaging, more precise results, excellent experimental demonstration effects, cost savings, clear experimental demonstration phenomena, simple operation, and ease of teacher demonstration. Furthermore, this teaching aid transforms the abstract into the concrete, achieving a leap from quantitative to qualitative inquiry. It solves the problems of difficulty in controlling the "sand pendulum experiment," where teachers manually drag the wooden board, making it difficult to achieve uniform motion of the white paper. It also addresses the issues of high requirements for photographic hardware and image processing technology, difficulties in image processing and verification, poor real-time performance, and high light requirements in the "stroboscopic photography method."
[0019] (II) Technical Solution
[0020] The technical solution of this utility model to solve the above-mentioned technical problems is as follows: A simple harmonic motion demonstrator includes a semi-open shell and a mobile phone. A single-line guide rail is fixedly connected to the bottom wall of the inner cavity of the semi-open shell. A frame plate distributed on the left and right is fixedly connected to the top of the single-line guide rail. A horizontal drive assembly rotatably connected to the frame plate is provided on the top of the single-line guide rail. A movable block located between the frame plates and slidably connected to the single-line guide rail is provided on the outside of the horizontal drive assembly. A concave clamping groove is fixedly connected to the top of the movable block. A display panel assembly extending above it is clamped inside the concave clamping groove. A power converter, a motor speed and direction controller, and a motor control element are provided on the bottom wall of the inner cavity of the semi-open shell. A column is fixedly connected to the bottom wall of the inner cavity of the semi-open shell. A crossbar is fixedly connected to the left side of the column. A suspension seat is fixedly connected to the left end of the crossbar. A simple harmonic motion assembly adapted to the display panel assembly is hung at the bottom of the suspension seat. A mobile phone is provided at the bottom of the simple harmonic motion assembly.
[0021] The beneficial effects of this utility model are:
[0022] This simple harmonic motion demonstrator adjusts the parameters of the motor speed and direction controller, thereby adjusting the rotation direction and speed of the horizontal drive component. Manually releasing the simple harmonic motion component, once it stabilizes and vibrates, it forms a vertical line on the display panel surface. This, via the motor speed and direction controller, activates the horizontal drive component, causing the movable block to slide on the top of the single-line guide rail, thus moving the display panel horizontally. At this point, a trajectory diagram of the simple harmonic motion component is formed on the display panel surface, creating a sine function pattern. Simultaneously, the "spring" function of the Phyphox software on the mobile phone... It analyzes the frequency and period of the spring oscillator in the simple harmonic motion component in real time. The teacher exports the data using Excel, and then uses Excel data fitting to present a sine function graph. By analyzing the data of the image on the surface of the display panel component, we can compare the two and realize the leap from qualitative analysis to quantitative analysis. It has an integrated architecture, is easy for teachers to transport, is more aesthetically pleasing, has more accurate imaging, more accurate results, good experimental demonstration effect, saves costs, has obvious experimental demonstration phenomena, is simple to operate, and is easy for teachers to demonstrate. Moreover, this teaching aid transforms the abstract into the concrete, realizing the advantages of leaping from quantitative inquiry to qualitative inquiry.
[0023] Based on the above technical solution, the present invention can be further improved as follows.
[0024] Furthermore, the horizontal drive assembly includes a stepper motor and a lead screw. A stepper motor is provided at the top of the left end of the single-line guide rail. The output end of the stepper motor is fixedly connected to a lead screw that passes through the left side of the frame plate and is rotatably connected to the right side of the frame plate. A movable block is threadedly connected to the outer side of the lead screw.
[0025] Further, the power converter is electrically connected with the motor speed direction controller and the external power supply, the motor speed direction controller is electrically connected with the motor control element, and the power converter and the motor control element are electrically connected with the stepper motor.
[0026] The beneficial effect of the above further scheme is that by adjusting the motor speed direction controller parameters, the rotation direction and speed of the stepper motor are pre-adjusted, when the stepper motor starts to work through the motor speed direction controller, the stepper motor starts to work at the pre-set rotation direction and speed, the lead screw starts to rotate at the pre-set rotation direction and speed, and the threads outside the lead screw rotate to drive the movable block to slide horizontally on the top of the single-wire guide rail.
[0027] Further, the simple harmonic motion assembly includes a standard Hooke's law experiment spring, an assembly seat, a bolt, a nut, a mounting block, and a point purple laser pen, the bottom of the hanging seat is hung with a standard Hooke's law experiment spring, the lower end of the standard Hooke's law experiment spring is fixedly connected with an assembly seat, the left side of the assembly seat is rotatably connected with a bolt extending to the right side thereof, the right end of the bolt is threadedly connected with a nut closely fitted with the right side of the assembly seat, the outside of the bolt is fixedly connected with a mounting block located in the assembly seat, and the front side of the mounting block is provided with a point purple laser pen extending to the back side thereof and matched with the color-changing paint.
[0028] Further, the display panel assembly includes a foam board and color-changing paint, the inside of the concave clamping groove is clamped with a foam board extending to the upper side thereof, and the front side of the foam board is coated with color-changing paint.
[0029] The beneficial effect of the above further scheme is that the assembly seat is manually released, when the standard Hooke's law experiment spring vibrates stably, the point purple laser pen makes the color-changing paint coated on the surface of the foam board present a high-intensity purple light, thereby forming a vertical line on the surface of the foam board, when the movable block slides horizontally on the top of the single-wire guide rail, the movable block drives the foam board to move horizontally, at this time, the surface of the foam board forms the motion trajectory of the standard Hooke's law experiment spring, thereby forming a sine function pattern on the surface of the foam board, and the "spring" function of the software Phyphox in the mobile phone can analyze the frequency and period of the spring oscillator in real time, the teacher can export the data using Excel and present the sine function image by fitting the data with Excel, and by comparing the two images on the surface of the display panel assembly, we can realize the transition from qualitative analysis to quantitative analysis.
[0030] Further, the bottom of the assembly seat is fixedly connected with a placement frame matching with the mobile phone and symmetrically distributed left and right.
[0031] The beneficial effect of the further scheme is that the placing frame is used for placing the mobile phone.
[0032] Further, the left wall and the back wall of the inner cavity of the half-open shell are pasted with light-absorbing cloth.
[0033] The beneficial effect of the further scheme is that the light-absorbing cloth is used for reducing unnecessary light reflection of the dot purple laser pen. BRIEF DESCRIPTION OF DRAWINGS
[0034] Fig. 1 It is a structural schematic diagram of the utility model;
[0035] Fig. 2 It is an enlarged schematic diagram of the structure at a in the utility model;
[0036] Fig. 3 It is a circuit principle schematic diagram of the utility model.
[0037] In the figure: 1, half-open shell; 2, mobile phone; 3, single-line guide rail; 4, shelf plate; 5, horizontal driving assembly; 501, stepping motor; 502, screw rod; 6, movable block; 7, concave clamping groove; 8, display panel assembly; 801, foam plate; 802, color-changing paint; 9, power converter; 10, motor speed direction controller; 11, motor control element; 12, stand column; 13, crossbar; 14, suspension seat; 15, simple harmonic motion assembly; 151, standard Hooke's law experiment spring; 152, assembly seat; 153, bolt; 154, nut; 155, mounting block; 156, dot purple laser pen; 16, placing frame; 17, light-absorbing cloth. DETAILED DESCRIPTION
[0038] The technical solutions in the embodiments of the utility model will be clearly and completely described below with reference to the drawings in the embodiments of the utility model. Obviously, the described embodiments are only part of the embodiments of the utility model, rather than all the embodiments. Based on the embodiments in the utility model, all other embodiments obtained by those skilled in the art without creative labor fall within the protection scope of the utility model.
[0039] In the embodiments, the utility model is characterized in that the half-open shell is used for placing the mobile phone. Figs. 1-3The utility model provides a simple harmonic motion demonstration instrument, the utility model discloses a half open shell 1 and cell -phone 2, the inner chamber bottom wall fixed connection of half open shell 1 has single line guide rail 3, the top fixed connection of single line guide rail 3 is left and right distribution's frame board 4, the top of single line guide rail 3 is equipped with and frame board 4 all rotary connection's horizontal drive assembly 5, the outside of horizontal drive assembly 5 is equipped with and is located between frame board 4 and with single line guide rail 3 sliding connection's movable block 6, the top fixed connection of movable block 6 has concave clamping groove 7, the inside clamping of concave clamping groove 7 has and extends to its above display panel assembly 8, the inner chamber bottom wall of half open shell 1 is equipped with power converter 9, motor speed direction controller 10 and motor control element 11, the inner chamber bottom wall fixed connection of half open shell 1 has stand 12, the left side fixed connection of stand 12 has cross bar 13, the left end fixed connection of cross bar 13 has hanging seat 14, the bottom of hanging seat 14 is hung and with the simple harmonic motion assembly 15 of display panel assembly 8 adaptation, the bottom of simple harmonic motion assembly 15 is equipped with cell -phone 2;
[0040] Horizontal drive assembly 5 includes stepper motor 501 and screw rod 502, the top of single line guide rail 3 left end is equipped with stepper motor 501, the output fixed connection of stepper motor 501 has and passes through left side frame board 4 and right side frame board 4 rotary connection's screw rod 502, the outside screw connection of screw rod 502 has movable block 6;
[0041] Power converter 9 and motor speed direction controller 10 and outside power supply are all electrically connected, motor speed direction controller 10 and motor control element 11 are electrically connected, power converter 9 and motor control element 11 are electrically connected with stepper motor 501;
[0042] Through adjusting motor speed direction controller 10 parameter, then pre-adjusting the rotation direction and speed of stepper motor 501, when making stepper motor 501 start operating through motor speed direction controller 10, then can make stepper motor 501 start operating with the rotation direction and speed of pre-setting, drive screw rod 502 to start rotating with the rotation direction and speed of pre-setting, the thread rotation of screw rod 502 outside, can drive movable block 6 to slide horizontally on the top of single line guide rail 3;
[0043] The simple harmonic motion assembly 15 comprises a standard Hooke's law experimental spring 151, an assembly seat 152, a bolt 153, a nut 154, a mounting block 155 and a point purple laser pen 156, the bottom of the hanging seat 14 is provided with the standard Hooke's law experimental spring 151, the lower end of the standard Hooke's law experimental spring 151 is fixedly connected with the assembly seat 152, the left side of the assembly seat 152 is rotatably connected with the bolt 153 extending to the right side thereof, the right end of the bolt 153 is threadedly connected with the nut 154 closely abutting the right side of the assembly seat 152, the outer side of the bolt 153 is fixedly connected with the mounting block 155 located in the assembly seat 152, and the front side of the mounting block 155 is provided with the point purple laser pen 156 extending to the rear side thereof and adapted to the color-changing paint 802.
[0044] The display panel assembly 8 comprises a foam board 801 and color-changing paint 802, the inside of the concave clamping groove 7 is clamped with the foam board 801 extending to the upper side thereof, and the front side of the foam board 801 is coated with the color-changing paint 802.
[0045] The assembly seat 152 is manually released, when the standard Hooke's law experimental spring 151 is stably vibrated, the point purple laser pen 156 in turn causes the color-changing paint 802 coated on the surface of the foam board 801 to present a high-intensity purple light, so as to form a vertical line on the surface of the foam board 801, when the movable block 6 is horizontally slid on the top of the single-line guide rail 3, the movable block 6 in turn drives the foam board 801 to move horizontally, at this time, the surface of the foam board 801 forms a motion trajectory diagram of the standard Hooke's law experimental spring 151, that is, a sine function pattern is formed on the surface of the foam board 801, and the "spring" function of the software Phyphox in the mobile phone 2 can analyze the frequency and period of the spring oscillator of the standard Hooke's law experimental spring 151 in real time, the teacher exports the data by using Excel, and then presents a sine function image by using the data fitting of Excel, by analyzing the data of the image on the surface of the display panel assembly 8, the two are compared with each other, so that the qualitative analysis can be crossed to the quantitative analysis.
[0046] The bottom of the assembly seat 152 is fixedly connected with the placing frame 16 which is left-right symmetrically distributed and adapted to the mobile phone 2.
[0047] The placing frame 16 is used for placing the mobile phone 2.
[0048] The inner cavity left wall and the rear wall of the half-open shell 1 are both pasted with the light-absorbing cloth 17.
[0049] The light-absorbing cloth 17 is used for reducing unnecessary light reflection of the point purple laser pen 156.
[0050] Working principle:
[0051] First step: by adjusting the motor speed direction controller 10 parameters, then pre-adjust the rotation direction and speed of the stepper motor 501, manually release the assembly seat 152, when the standard Hooke's law experiment spring 151 is stable vibration, the point purple laser pen 156 makes the surface of the foam board 801 coated with the color-changing paint 802 present high-intensity purple light, thereby forming a vertical line on the surface of the foam board 801;
[0052] Second step: the motor speed direction controller 10 makes the stepper motor 501 start to work, then the stepper motor 501 can start to work in the pre-set rotation direction and speed, thereby driving the lead screw 502 to start to rotate in the pre-set rotation direction and speed, the thread outside the lead screw 502 rotates, thereby driving the movable block 6 to slide horizontally on the top of the single-wire guide rail 3;
[0053] Third step: the movable block 6 drives the foam board 801 to move horizontally, at this time, the surface of the foam board 801 forms the motion trajectory of the standard Hooke's law experiment spring 151, that is, a sine function pattern is formed on the surface of the foam board 801, and the "spring" function of the software Phyphox in the mobile phone 2 can analyze the frequency and period of the spring oscillator of the standard Hooke's law experiment spring 151 in real time, the teacher exports the data using Excel, and then uses Excel data fitting to present a sine function image, by analyzing the data of the image on the surface of the display panel assembly 8, we can realize the transition from qualitative analysis to quantitative analysis by comparing the two.
[0054] It should be noted that, in this text, relationship terms such as first and second are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any actual relationship or order between the entities or operations. Moreover, the terms "include", "contain" or any other variant thereof are intended to cover non-exclusive inclusion, so that the process, method, article or equipment including a series of elements not only includes those elements, but also includes other elements not explicitly listed or inherent to such process, method, article or equipment. Without more limitations, the element defined by the statement "including a" does not exclude the presence of another identical element in the process, method, article or equipment including the element.
[0055] Although the embodiments of the present application have been shown and described, it can be understood by those skilled in the art that various changes, modifications, replacements and variations can be made to the embodiments without departing from the principles and spirits of the present application, and the scope of the present application is defined by the appended claims and their equivalents.
Claims
1. A simple harmonic motion demonstrator comprising a semi-open housing (1) and a mobile phone (2), characterized in that: The inner cavity bottom wall of the semi-open shell (1) is fixedly connected with a single-line guide rail (3), the top of the single-line guide rail (3) is fixedly connected with shelf plates (4) distributed left and right, the top of the single-line guide rail (3) is provided with horizontal drive assemblies (5) rotationally connected with the shelf plates (4), the outer side of the horizontal drive assemblies (5) is provided with movable blocks (6) located between the shelf plates (4) and slidably connected with the single-line guide rail (3), the top of the movable blocks (6) is fixedly connected with concave clamping grooves (7), the inside of the concave clamping grooves (7) clamps display panel assemblies (8) extending thereabove, the inner cavity bottom wall of the semi-open shell (1) is provided with a power converter (9), a motor speed direction controller (10) and a motor control element (11), the inner cavity bottom wall of the semi-open shell (1) is fixedly connected with a stand column (12), the left side of the stand column (12) is fixedly connected with a cross rod (13), the left end of the cross rod (13) is fixedly connected with a hanging seat (14), the bottom of the hanging seat (14) is hung with simple harmonic motion assemblies (15) matched with the display panel assemblies (8), and the bottom of the simple harmonic motion assemblies (15) is provided with mobile phones (2).
2. The simple harmonic motion demonstrator of claim 1, wherein: The horizontal drive assembly (5) comprises a stepper motor (501) and a lead screw (502), the top of the left end of the single-line guide rail (3) is provided with a stepper motor (501), the output end of the stepper motor (501) is fixedly connected with a lead screw (502) rotationally connected through the left shelf plate (4) and the right shelf plate (4), and the outer side of the lead screw (502) is threadedly connected with the movable block (6).
3. The simple harmonic motion demonstrator of claim 2, wherein: The display panel assembly (8) comprises a foam plate (801) and a color-changing paint (802), the inside of the concave clamping groove (7) clamps a foam plate (801) extending thereabove, and the front side of the foam plate (801) is coated with a color-changing paint (802).
4. The simple harmonic motion demonstrator of claim 3, wherein: The power converter (9), the motor speed direction controller (10) and an external power source are electrically connected, the motor speed direction controller (10) and the motor control element (11) are electrically connected, and the power converter (9) and the motor control element (11) are electrically connected with the stepper motor (501).
5. The simple harmonic motion demonstrator of claim 4, wherein: The simple harmonic motion component (15) includes a standard Hooke's law experiment spring (151), an assembly seat (152), a bolt (153), a nut (154), a mounting block (155) and a point purple laser pen (156), the bottom of the hanging seat (14) is hung with a standard Hooke's law experiment spring (151), the lower end of the standard Hooke's law experiment spring (151) is fixedly connected with the assembly seat (152), the left side of the assembly seat (152) is rotatably connected with the bolt (153) extending to the right side thereof, the right end of the bolt (153) is threadedly connected with the nut (154) closely abutting the right side of the assembly seat (152), the outside of the bolt (153) is fixedly connected with the mounting block (155) located in the assembly seat (152), and the front side of the mounting block (155) is provided with the point purple laser pen (156) extending to the back side thereof and matching the color-changing paint (802).
6. The simple harmonic motion demonstrator of claim 5, wherein: The bottom of the assembly seat (152) is fixedly connected with the placing frame (16) matching the mobile phone (2) and being left-right symmetrically distributed.
7. The simple harmonic motion demonstrator of claim 6, wherein: The inner cavity left wall and the rear wall of the semi-open shell (1) are both pasted with light-absorbing cloth (17).