CN220584814U - Magnetic pendulum device for demonstrating and quantitatively researching parameter resonance - Google Patents
Magnetic pendulum device for demonstrating and quantitatively researching parameter resonance Download PDFInfo
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- CN220584814U CN220584814U CN202322351319.6U CN202322351319U CN220584814U CN 220584814 U CN220584814 U CN 220584814U CN 202322351319 U CN202322351319 U CN 202322351319U CN 220584814 U CN220584814 U CN 220584814U
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- 239000000725 suspension Substances 0.000 claims abstract description 10
- 230000005415 magnetization Effects 0.000 claims description 6
- 229920000049 Carbon (fiber) Polymers 0.000 claims description 3
- 239000004917 carbon fiber Substances 0.000 claims description 3
- VNWKTOKETHGBQD-UHFFFAOYSA-N methane Chemical compound C VNWKTOKETHGBQD-UHFFFAOYSA-N 0.000 claims description 3
- 230000002093 peripheral effect Effects 0.000 claims 1
- 238000002474 experimental method Methods 0.000 abstract description 5
- 230000001133 acceleration Effects 0.000 abstract description 3
- 230000005484 gravity Effects 0.000 abstract description 2
- 230000003993 interaction Effects 0.000 abstract 1
- 239000000463 material Substances 0.000 abstract 1
- 238000010586 diagram Methods 0.000 description 4
- 230000009347 mechanical transmission Effects 0.000 description 2
- 238000000034 method Methods 0.000 description 2
- 230000000737 periodic effect Effects 0.000 description 2
- 230000005284 excitation Effects 0.000 description 1
- 238000013178 mathematical model Methods 0.000 description 1
- 230000005610 quantum mechanics Effects 0.000 description 1
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Abstract
The utility model belongs to the technical field of physical experiment teaching aids, and particularly relates to a magnetic pendulum device for demonstrating and quantitatively researching parameter resonance, which comprises a fixed plate fixedly connected with an experiment table, wherein V-shaped suspension wires are arranged on the left side and the right side of the lower surface of the fixed plate, the lower ends of the two V-shaped suspension wires are respectively connected with the left end and the right end of a cross beam, a swinging rod is fixedly arranged in the middle of the lower surface of the cross beam, the lower end of the swinging rod is fixedly connected with a permanent magnet pendulum, a Helmholtz coil is arranged on the periphery of the permanent magnet pendulum, the Helmholtz coil is connected with a power amplifier, and the power amplifier is connected with a function generator. According to the utility model, a permanent magnet material is adopted as a pendulum, and the electromagnetic interaction of a permanent magnet and a Helmholtz coil magnetic field is utilized, so that the parameter resonance is realized by periodically changing an external magnetic field to be equivalent to periodically adjusting effective gravity acceleration.
Description
Technical Field
The utility model belongs to the technical field of physical experiment teaching aids, and particularly relates to a magnetic pendulum device for demonstrating and quantitatively researching parameter resonance.
Background
Parameter resonance is another form of vibration other than free vibration, forced vibration, which is created by external excitation, but which is not applied to the system in the form of external forces, but rather is accomplished indirectly by periodic changes in parameters within the system. A typical example of parametric resonance is a simple pendulum with a periodically varying pendulum length, the behavior of which is mathematically determined by the Mathieu equationDescription in which ω 0 Is the natural frequency of the simple pendulum, and omega is the variation frequency of the pendulum length if omega is close to omega 0 The amplitude of the simple pendulum will increase with the exponential level of time, and resonance will occur.
Parametric resonance is a typical nonlinear vibration behavior that occurs in many physical phenomena, including systems described by classical and quantum mechanics. However, due to the mathematics behind it, such as Mathieu's equation, etc., it is generally less common in physical theory of the family and experimental courses. In a simple pendulum system, parameter resonance is realized, the aim of adjusting effective gravity acceleration is generally achieved by changing the pendulum length, and the change of the pendulum length is generally realized by using a mechanical transmission device, as shown in fig. 3, but is limited to a specific mechanical transmission device, and accurate adjustment of parameters is often difficult. Therefore, the design of an experimental system capable of well demonstrating and quantitatively researching parameter resonance has a certain significance in the aspect of current experimental teaching.
Disclosure of Invention
The present utility model addresses the above-mentioned problems by providing a magnetometric pendulum device for demonstrating and quantifying parametric resonances.
The utility model adopts the following technical scheme to achieve the aim:
the utility model provides a magnetic force pendulum device for demonstrating and quantitative study parameter resonance, includes the fixed plate with laboratory bench fixed connection the left and right sides of fixed plate lower surface all is provided with V type suspension line, two the lower extreme of V type suspension line is connected with the left and right sides both ends of crossbeam respectively the middle part of crossbeam lower surface is fixedly provided with the pendulum rod the lower extreme fixedly connected with permanent magnet pendulum of pendulum rod the permanent magnet pendulum periphery is provided with helmholtz coil, helmholtz coil is connected with power amplifier, power amplifier is connected with function generator.
Further, the magnetization direction of the permanent magnet pendulum bob is collinear or perpendicular to the axis of the pendulum bob.
Still further, the magnetization direction of the permanent magnet pendulum is collinear with the axis of the helmholtz coil.
Still further, the permanent magnet pendulum is located at the center of the helmholtz coil when stationary.
Further, the swing rod is a carbon fiber rod.
Compared with the prior art, the utility model has the following advantages:
the pendulum body is composed of the permanent magnet pendulum, the swing rod, the cross beam and the V-shaped suspension line, so that the vibration behavior of the permanent magnet pendulum follows the Mathieu equation, and quantitative research can be carried out in experiments by combining the mathematical model.
Drawings
FIG. 1 is a schematic diagram of the structure of the present utility model;
FIG. 2 is a schematic diagram of the present utility model;
FIG. 3 is a schematic diagram of a prior art method of mechanically adjusting pendulum length;
in the figure, a permanent magnet pendulum bob-1, a swing rod-2, a cross beam-3, a V-shaped suspension wire-4, a fixed plate-5, a Helmholtz coil-6, a function generator-7 and a power amplifier-8.
Detailed Description
In order to further illustrate the technical scheme of the utility model, the utility model is further illustrated by the following examples.
As shown in fig. 1, a magnetic pendulum device for demonstrating and quantitatively researching parameter resonance comprises a fixed plate 5 fixedly connected with an experiment table, wherein V-shaped suspension wires 4 are arranged on the left side and the right side of the lower surface of the fixed plate 5, the lower ends of the two V-shaped suspension wires 4 are respectively connected with the left end and the right end of a cross beam 3, a swing rod 2 is fixedly arranged in the middle of the lower surface of the cross beam 3, the swing rod 2 is a carbon fiber rod, the lower end of the swing rod 2 is fixedly connected with a permanent magnet pendulum 1, the magnetization direction of the permanent magnet pendulum 1 and the axis of the swing rod 2 are collinear or perpendicular to the periphery of the permanent magnet pendulum 1, the magnetization direction of the permanent magnet pendulum 1 and the axis of the helmholtz coil 6 are collinear, the permanent magnet pendulum 1 is positioned at the center position of the helmholtz coil 6 when being stationary, the helmholtz coil 6 is connected with a power amplifier 8, and the power amplifier 8 is connected with a function generator 7.
The experimental implementation process of the magnetic pendulum parameter resonance is as follows: the sinusoidal alternating voltage signal generated by the function generator 7 is amplified by the power amplifier 8 and then drives the Helmholtz coil 6 to generate a uniform alternating magnetic field at a position near the pendulum, and the pendulum is equivalent to the periodic modulation change of the gravitational acceleration in the absence of a magnetic field under the action of the magnetic field, and the specific principle schematic diagram is shown in fig. 2. When the frequency of the alternating magnetic field is 2 times of the natural frequency of the swing of the pendulum body and the amplitude of the magnetic field exceeds a certain threshold value, the pendulum which is originally at rest starts to swing, the amplitude is larger and larger along with the time, and the parametric resonance phenomenon is generated.
While the principal features and advantages of the present utility model have been shown and described, it will be apparent to those skilled in the art that the utility model is not limited to the details of the foregoing exemplary embodiments, but that the utility model may be embodied in other specific forms without departing from the spirit or essential characteristics thereof. The present embodiments are, therefore, to be considered in all respects as illustrative and not restrictive, the scope of the utility model being indicated by the appended claims rather than by the foregoing description, and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein.
Furthermore, it should be understood that although the present disclosure describes embodiments, not every embodiment is provided with a separate embodiment, and that this description is provided for clarity only, and that the disclosure is not limited to the embodiments described in detail below, and that the embodiments described in the examples may be combined as appropriate to form other embodiments that will be apparent to those skilled in the art.
Claims (5)
1. A magnetic pendulum device for demonstrating and quantifying parametric resonance, characterized by: including fixed plate (5) with laboratory bench fixed connection the left and right sides of fixed plate (5) lower surface all is provided with V type suspension line (4), two the lower extreme of V type suspension line (4) is connected with the left and right sides both ends of crossbeam (3) respectively the middle part of crossbeam (3) lower surface is fixed to be provided with pendulum rod (2) the lower extreme fixedly connected with permanent magnet pendulum (1) of pendulum rod (2) is peripheral to be provided with helmholtz coil (6) of permanent magnet pendulum (1), helmholtz coil (6) are connected with power amplifier (8), power amplifier (8) are connected with function generator (7).
2. A magnetometric pendulum device for demonstrating and quantifying parametric resonance according to claim 1, wherein: the magnetization direction of the permanent magnet pendulum bob (1) is collinear or perpendicular to the axis of the pendulum rod (2).
3. A magnetometric pendulum device for demonstrating and quantifying parametric resonance according to claim 1, wherein: the magnetization direction of the permanent magnet pendulum (1) is collinear with the axis of the helmholtz coil (6).
4. A magnetometric pendulum device for demonstrating and quantifying parametric resonance according to claim 1, wherein: the permanent magnet pendulum (1) is located at the center of the Helmholtz coil (6) when stationary.
5. A magnetometric pendulum device for demonstrating and quantifying parametric resonance according to claim 1, wherein: the swing rod (2) is a carbon fiber rod.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202322351319.6U CN220584814U (en) | 2023-08-31 | 2023-08-31 | Magnetic pendulum device for demonstrating and quantitatively researching parameter resonance |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202322351319.6U CN220584814U (en) | 2023-08-31 | 2023-08-31 | Magnetic pendulum device for demonstrating and quantitatively researching parameter resonance |
Publications (1)
| Publication Number | Publication Date |
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| CN220584814U true CN220584814U (en) | 2024-03-12 |
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| Application Number | Title | Priority Date | Filing Date |
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| CN202322351319.6U Active CN220584814U (en) | 2023-08-31 | 2023-08-31 | Magnetic pendulum device for demonstrating and quantitatively researching parameter resonance |
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| Country | Link |
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| CN (1) | CN220584814U (en) |
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2023
- 2023-08-31 CN CN202322351319.6U patent/CN220584814U/en active Active
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