CN204045079U - Solitary wave demonstrator - Google Patents
Solitary wave demonstrator Download PDFInfo
- Publication number
- CN204045079U CN204045079U CN201420458699.1U CN201420458699U CN204045079U CN 204045079 U CN204045079 U CN 204045079U CN 201420458699 U CN201420458699 U CN 201420458699U CN 204045079 U CN204045079 U CN 204045079U
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- Prior art keywords
- central shaft
- solitary wave
- pendulum
- solution
- solitary
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- 230000008878 coupling Effects 0.000 claims abstract description 5
- 238000010168 coupling process Methods 0.000 claims abstract description 5
- 238000005859 coupling reaction Methods 0.000 claims abstract description 5
- 150000001875 compounds Chemical class 0.000 claims description 9
- 230000005484 gravity Effects 0.000 claims 1
- 239000007787 solid Substances 0.000 claims 1
- 238000004088 simulation Methods 0.000 abstract description 3
- 229910000831 Steel Inorganic materials 0.000 abstract description 2
- 239000010959 steel Substances 0.000 abstract description 2
- 239000000203 mixture Substances 0.000 description 2
- 238000012856 packing Methods 0.000 description 2
- 230000002787 reinforcement Effects 0.000 description 2
- 238000011160 research Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000005094 computer simulation Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 230000003993 interaction Effects 0.000 description 1
- 238000000034 method Methods 0.000 description 1
- 239000002245 particle Substances 0.000 description 1
- 230000029058 respiratory gaseous exchange Effects 0.000 description 1
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- Apparatuses For Generation Of Mechanical Vibrations (AREA)
Abstract
本实用新型公开了一种孤立波演示仪。它是在钢制的中心轴上通过轴承等距离地套上若干个相同的物理摆，相邻摆的底部都采用弹簧铰链耦合。并在中心轴的一端使用联轴器连接可调速电机带动轴的转动以减小摩擦。整套装置安防在平稳的支架上。只需给其中任一物理摆施加初始冲量就可以模拟孤立波的产生于传播。模拟范围包括了孤立波的扭折解、反扭折解以及呼吸子解。
The utility model discloses a solitary wave demonstration instrument. It consists of several identical physical pendulums equidistantly placed on a steel central shaft through bearings, and the bottoms of adjacent pendulums are coupled by spring hinges. And at one end of the central shaft, a coupling is used to connect the adjustable-speed motor to drive the rotation of the shaft to reduce friction. The entire unit is secured on a stable stand. The generation and propagation of solitary waves can be simulated only by applying an initial impulse to any of the physical pendulums. The simulation range includes the kink solution, anti-kink solution and breath sub-solution of the solitary wave.
Description
Art
The utility model relates to a kind of mechanical hook-up of solitary wave of simulating in nonlinear kinetics, mainly lays particular emphasis on the kinking solution (kink) in simulation solitary wave, anti-twisted folding solution (anti-kink) and breather solution (breather).
Background technology
Nearly two during the last ten years, Soliton Theory and be applied in a lot of field and also make significant progress.From physical essence, soliton is excited by non-linear place, energy not disperse quasi particle, solitary wave is the exact sodution of a quasi-nonlinear partial differential equation, and wherein most representative is sine-Gordon (sine-Gordon) equation.There are three kinds of different forms in this non trivial solution: kinking solution, anti-twisted folding solution and breather solution.This fluctuation corresponding to three kinds of solutions is all comparatively rare in real life, and the very abstract complexity of mathematical procedure.Three kinds of researchs of separating at present for solitary wave rest in theory calculate and computer simulation mostly, lack one and in kindly intuitively simulate this ripple and demonstrate, bring no small difficulty to the teaching of this respect and research.
Summary of the invention:
In order to the row ripple making this profundity abstract is presented in face of people intuitively, the utility model provides a kind of mechanical hook-up, by different triggering modes, three kinds of row ripples can be presented on this mechanical hook-up, and the interaction of several ripple can also be demonstrated.
The utility model solves the technical scheme that its technical matters adopts: on the central shaft of steel, overlap several compound pendulums equidistantly by bearing, the bottom of adjacent pendulum all adopts spring hinge to be coupled, be placed on stable support, and be at one end connected with motor by shaft coupling.Contiguous pendulum can be driven to rotate together when one of them rotation is moved, the motion between adjacent pendulum has certain lag-effect, and the characteristics of motion that can solve pendulum based on Newton's law meets sine-Gordon equation.Therefore the solitons solution of sine-Gordon equation can be simulated with the motion morphology of pendulum.The rotation of motor belt motor lever can reduce the friction force of socket place bearing and bar, thus makes simulation more accurate.From one end, to the applying one of first pendulum, it is enough makes its momentum rotating one week can simulate kinking solution and anti-twisted folding solution (positive and negative depend on rotation direction), apply from centre momentum or both sides apply momentum simultaneously can simulated respiration subsolution.
The beneficial effects of the utility model are, can demonstrate three kinds of solitary waves intuitively, and triggering mode is simple, and result is accurate.
Accompanying drawing illustrates:
Below in conjunction with drawings and Examples, the utility model is further illustrated.
Fig. 1 is the equipment figure of this mechanical hook-up.
Fig. 2 is structural map and the 3D view of compound pendulum in Fig. 1.
Fig. 3 is left view and the front elevation of Fig. 1 medium-height trestle.
1. supports, 2. central shaft, 3. circlip, 4. bearing in figure, 5. thicken outer ring, 6. screw rod, 7. packing ring, 8. hexagon thin nut, 9. spring, 10. motor, 11. shaft couplings, 12. reinforcements.Wherein 3,4,5,6,7,8 composition compound pendulums.
Embodiment:
In the structural drawing shown in Fig. 1, compound pendulum (3-7) is connected on central shaft (2) by the bearing holder (housing, cover) of top and holds, and is fixed the both sides of bearing (3) and makes it not move left and right, can only around central axis.The bottom spring (9) of adjacent pendulum carries out hinge, one end of central shaft (2) is connected with contour motor (10) by shaft coupling (11), makes motor (10) that central shaft can be with to rotate together.Whole equipment security protection is on stable support (1).
In the structural map of the compound pendulum shown in Fig. 2, the top of compound pendulum is bearing (4) and thickeies outer ring (5) composition, thicken outer ring (5) and squeeze into enough dark threaded hole from edge, make the Full threaded rod of bottom (6) can twist as wherein.Like this as the moment of inertia of compound pendulum need be adjusted, only need change the length of threaded rod (6) or increase the quantity of packing ring (7).
Support shown in Fig. 3 is triangular in shape, and frame upper has a circular hole more bigger than central shaft (2) support, and central shaft (2) can be penetrated into, and frame is on support.Frame bottom welds two reinforcements (12) to ensure stability.
Claims (4)
1. a solitary wave demonstrator, it is characterized in that liftoffly between a string identical compound pendulum etc. installing along transverse axis, and with the isometric light spring of spacing in bottom hinge, each pendulum can 360 degree rotate freely around central shaft, but can not level be displaced sideways, two end-rack of central shaft are on stable support, and wherein one end is connected with motor by shaft coupling, for simulating kinking solution in solitary wave and breather solution.
2. the central shaft of a kind of solitary wave demonstrator according to claim 1, it is characterized in that the solid elongated cylinder of bearing enough loads, length is depending on the number of pendulum.
3. the compound pendulum of a kind of solitary wave demonstrator according to claim 1, is characterized in that the top of pendulum is connected with central shaft by bearing under gravity around the detachable rigid body that a fixing horizontal axle rotates.
4. the motor of a kind of solitary wave demonstrator according to claim 1, is characterized in that producing driving torque, and band central shaft rotates together.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420458699.1U CN204045079U (en) | 2014-08-14 | 2014-08-14 | Solitary wave demonstrator |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201420458699.1U CN204045079U (en) | 2014-08-14 | 2014-08-14 | Solitary wave demonstrator |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN204045079U true CN204045079U (en) | 2014-12-24 |
Family
ID=52245720
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201420458699.1U Expired - Fee Related CN204045079U (en) | 2014-08-14 | 2014-08-14 | Solitary wave demonstrator |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN204045079U (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104157184A (en) * | 2014-08-14 | 2014-11-19 | 北京理工大学 | Solitary wave demonstration instrument |
| CN109036011A (en) * | 2018-07-13 | 2018-12-18 | 合肥市科技馆 | A kind of resonance swing exhibition article |
-
2014
- 2014-08-14 CN CN201420458699.1U patent/CN204045079U/en not_active Expired - Fee Related
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104157184A (en) * | 2014-08-14 | 2014-11-19 | 北京理工大学 | Solitary wave demonstration instrument |
| CN109036011A (en) * | 2018-07-13 | 2018-12-18 | 合肥市科技馆 | A kind of resonance swing exhibition article |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20141224 Termination date: 20150814 |
|
| EXPY | Termination of patent right or utility model |