CN2452071Y - Magnetic chaos pendulum with computer interface - Google Patents

Magnetic chaos pendulum with computer interface Download PDF

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Publication number
CN2452071Y
CN2452071Y CN 00259681 CN00259681U CN2452071Y CN 2452071 Y CN2452071 Y CN 2452071Y CN 00259681 CN00259681 CN 00259681 CN 00259681 U CN00259681 U CN 00259681U CN 2452071 Y CN2452071 Y CN 2452071Y
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China
Prior art keywords
suspension
pendulum
fork
magnetic
chaos
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Expired - Fee Related
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CN 00259681
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Chinese (zh)
Inventor
丁小冬
丁慎训
张连芳
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Tsinghua University
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Tsinghua University
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Abstract

The utility model belongs to the field of the teaching experiment instrument, which comprises a pendulum rod, a pendulum hammer connected with the lower end of the pendulum rod and a hanger bracket arranged in the oscillation center and supporting the pendulum rod. The upper end of the pendulum rod, upwards extending from the oscillation center, is fixed with an electromagnetic emission device or a photoelectron emission device. An electromagnetic receiving apparatus or a photoelectric receiving apparatus and a computer interface are fixed above the electromagnetic emission device or the photoelectron emission device, and the utility model uses a zero friction flexible universal top hanger bracket. The free oscillation time of the utility model is longer, and the gravity interference in the chaotic motion is smaller. The oscillating signal can be directly input into the computer. The utility model not only can display the magnetic chaotic pendulum trace on the computer screen but also can make the further study on other characteristics of the chaos phenomenon.

Description

A kind of magnetic chaos pendulum with computer interface
The utility model belongs to the teaching and experiment equipment field.Be particularly related to the device of demonstrating the physical phenomenon of chaos with the motion state of single pendulum pendulum under three magnetic pole graviational interactions.
For a long time, it is believed that a completely specified dynamical system of stress, as long as the initial conditions (position and speed) of motion are known, then motion after this is definite fully, and the subtle change of starting condition can only cause the subtle change of motion result.Over nearly 20 years, the widespread use owing to computing machine it is found that at nature also to have the completely specified dynamical system of a class stress, and is very responsive for starting condition.The minute differences of initial conditions also can cause diverse motion result.This phenomenon is called as " chaos ", and the susceptibility of starting condition is the key character of chaos.Discover that further chaos is natural general phenomenon, it extensively is present among mechanics, physics, chemistry, biology, celestial mechanics and even the sociology.The discovery of chaos phenomenon once was described as the another great discovery of natural science after relativity, quantum theory.
Magnetic chaos pendulum is a kind of device of image demonstration chaos phenomenon, and it is constructed as shown in Figure 1.This is a chaotic motion that produces when being attracted by two or three static relatively big celestial body M with a starlet body between pendulum 11 imitation universe.Discharge after pendulum 11 is pulled away from the equilibrium position, can see pendulum sometimes around magnetic pole M1 rotation, sometimes around magnetic pole M2 or M3 rotation, its alternate succession and movement locus are unpredictable fully.But obtain diverse track from the pendulum of almost same point release, never overlap.Recently, this demonstrator has appeared at the laboratory of university, but generally can only ocular demonstration, can not write down the track of motion, and again because the influence of terrestrial attraction and fork hitch point friction force, the demonstration effect is unsatisfactory.
The purpose of this utility model is for overcoming the weak point of existing magnetic chaos pendulum, design a kind of magnetic chaos pendulum with computer interface, can on computer screen, show and write down magnetic chaos pendulum track, and can do further research other characteristic of chaos phenomenon.Can make chaos pendulum time that freely swings longer by the improvement to structure, gravity disturbs littler to chaotic motion.Fig. 5 (a), Fig. 5 (b) have shown that Fig. 5 (c) has shown the statistical distribution that pendulum is swung its track for a long time from the difference of its tracks of pendulum of same point almost.
A kind of magnetic chaos pendulum of the utility model design with computer interface, comprise fork and be connected in the fork lower end pendulum, be arranged on the suspension that oscillation centre supports fork, and place the chassis of this pendulum below and split plural magnetic pole on this chassis, it is characterized in that, comprise that also this fork fixes an electromagnetism or photoelectron emission device from the upper end that oscillation centre extends upward, one fixed electromagnetism or the photoelectric receiving arrangement that has computer interface is set above emitter, and said suspension adopts does not have the flexible universal gyro suspension of friction.Said universal gyro suspension is formed by three the branch suspensions in upper, middle and lower and four spring combinations, said going up divides suspension to link to each other with fixture, middle branch suspension reaches a following minute suspension with reed with last minute suspension and links to each other, vertically be drilled with the hole that passes through for fork in the middle of the suspension at last, middle minute, fork is fixed on the following minute suspension.The utility model also is included near on the fork below the oscillation centre moment of inertia compensation system being set, this moment of inertia compensation system is by excellent bar, symmetric position is respectively put a little balance bob formation on this rod, this rod bar is vertical with fork and be and be rotationally connected, and this hand hammer and excellent bar are slidingly connected.
Characteristics of the present utility model and effect:
1. the utility model can be sent the swinging signal of pendulum into computing machine by computer interface.By the swing of emitter with fork, the receiving trap that is positioned at the emitter top can obtain and the corresponding motor message of chaos pendulum, imports computing machine analysis again, calculates and shows through signal processing circuit.
2. the utility model adopts does not have the friction compliance suspension, and last suspension is fixed, and middle suspension is connected with last suspension by two reeds, and lower suspension links to each other four reed symmetric offset spread by two reeds again with middle suspension.The fork that is fixed in lower suspension is like this swung in vertical guide just two degree of freedom.In the middle of last, middle suspension, vertically be drilled with hole.Can allow fork to extend to suspension top fixed launcher like this by suspension.
3. the utility model is provided with a moment of inertia compensation system, by the orientation of adjusting spillikin and the radial distance of hand hammer, fork is equated in the frequency of all directions swing under action of gravity, to eliminate rigidity and the quality symmetric influence of compliance suspension, can make gravity that the influence of chaos pendular motion is reduced to minimum like this to fork.
Brief Description Of Drawings;
Fig. 1 is the apparatus structure synoptic diagram of existing a kind of image demonstration chaos phenomenon.
Fig. 2 is the magnetic chaos pendulum structural representation of band computer interface of the present utility model.
Fig. 3 is the nothing of the present utility model flexible cardan mounting example structure synoptic diagram that rubs.
Fig. 4 be among Fig. 3 three suspension accordings from the axle sectional side view.
Fig. 5 (a), Fig. 5 (b) for the utility model embodiment record from the difference of the pendulum tracks of same point almost.
The statistical distribution that Fig. 5 (c) swings its track for a long time for the pendulum of the utility model embodiment record.
The embodiment of a kind of magnetic chaos pendulum with computer interface of the utility model design is described in detail as follows in conjunction with each accompanying drawing:
The general structure of embodiment as shown in Figure 2.Comprise fork 8 and be connected in the fork lower end pendulum 9, be arranged on the suspension 6 that oscillation centre supports fork, and place the chassis of this pendulum below and split plural magnetic pole (not shown) on this chassis, this fork 8 extends upward from oscillation centre and fixes an electromagnetism or photoelectron emission device 10, one fixed electromagnetism or photoelectric receiving arrangement 5 are arranged above emitter, and the computer interface (not shown), near the fork below the oscillation centre, a moment of inertia compensation system 7 is set.In fork when swing,, the position of device 10 will be surveyed by device 5, and with signal by signal processing circuit insert the computer standard interface (RS-232, USB) or bus.Computing machine can be gathered the motor message of pendulum by interface, and shows or write down the motion process of pendulum in real time.By image data is further analyzed and calculated, also can obtain the further feature of chaotic motion: as the phase plane characteristic, the manifold structure, spectral characteristics etc. are to further investigate chaos phenomenon.Above-mentioned electromagnetism or photoelectron emission device 10, electromagnetism or photoelectric receiving arrangement 5, standard interface adopts conventional known products, and signal processing circuit and computing machine do not belong to the scope of the utility model protection, can adopt the known technology in this field to be used.Will not describe in detail at this.
The gyro suspension that present embodiment adopted is not have the flexible cardan mounting of friction, and its structure as shown in Figure 3.It is to be made of three the branch suspensions in upper, middle and lower, and middle suspension 2 links to each other with last suspension 1 and lower suspension 3 with reed 4, and reed is to be made of four identical beryllium-bronze sheets of size.Radial axisymmetricly, fork is fixed in lower suspension, can allow fork in each vertical plane, to freely swing like this around oscillation centre 0, owing to do not have sliding friction between each suspension, the gap can not occur again, so this chaos pendulum energy consumption is minimum, amplitude of oscillation attenuation pole is slow, allow time enough and number of oscillations and observe the peculiar chaotic motion of pendulum, Fig. 4 be three suspension accordings from the axle sectional side view.The figure illustrates the installation site (rectangular sheet of band pit among the figure) of four reeds and the geometric configuration of suspension.
For reducing the influence of gravity and reed as far as possible to magnetic force, require fork (together with pendulum and suspension) to crossing the X that center of oscillation O is ordered, the moment of inertia of Y-axis and rigidity is symmetry fully.Since adopt cardan mounting, especially flexible cardan mounting, and this requirement is difficult to satisfy.Present embodiment solves this difficult problem by additional moment of inertia compensation system-" frequency modulation rod " 7 on fork.As shown in Figure 2, " frequency modulation rod " the 7th is made of the straight-bar that has two hand hammers, and " frequency modulation rod " is fixed in the fork upper end.The rod bar is vertical with fork, position angle φ by the regulating rod bar and hand hammer the radial distance r on the rod be scalable only under action of gravity pendulum around X, the hunting frequency of Y-axis, till frequency was very approaching, at this moment the major and minor axis orientation of the elliptical orbit of pendulum changed very slow.

Claims (3)

1, a kind of magnetic chaos pendulum with computer interface, comprise fork and be connected in the fork lower end pendulum, be arranged on the suspension that oscillation centre supports fork, and place the chassis of this pendulum below and split plural magnetic pole on this chassis, it is characterized in that, comprise that also this fork fixes an electromagnetism or photoelectron emission device from the upper end that oscillation centre extends upward, one fixed electromagnetism or the photoelectric receiving arrangement that has computer interface is set above emitter, and said suspension adopts does not have the flexible universal gyro suspension of friction.
2, the magnetic chaos of band computer interface as claimed in claim 1 pendulum, it is characterized in that, said universal gyro suspension is formed by three the branch suspensions in upper, middle and lower and four spring combinations, said going up divides suspension to link to each other with fixture, middle branch suspension reaches a following minute suspension with reed with last minute suspension and links to each other, vertically be drilled with the hole that passes through for fork in the middle of the suspension at last, middle minute, fork is fixed on the following minute suspension.
3, the magnetic chaos of band computer interface as claimed in claim 1 pendulum, it is characterized in that, also be included on the fork near the oscillation centre below moment of inertia compensation system is set, this moment of inertia compensation system is by excellent bar, symmetric position is respectively put a little balance bob formation on this rod, this rod bar is vertical with fork and be and be rotationally connected, and this hand hammer and excellent bar are slidingly connected.
CN 00259681 2000-11-10 2000-11-10 Magnetic chaos pendulum with computer interface Expired - Fee Related CN2452071Y (en)

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CN 00259681 CN2452071Y (en) 2000-11-10 2000-11-10 Magnetic chaos pendulum with computer interface

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Application Number Priority Date Filing Date Title
CN 00259681 CN2452071Y (en) 2000-11-10 2000-11-10 Magnetic chaos pendulum with computer interface

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CN2452071Y true CN2452071Y (en) 2001-10-03

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103956093A (en) * 2014-05-19 2014-07-30 江南大学 Magnetic type combined rigid body
CN104575182A (en) * 2014-12-18 2015-04-29 韩腾 Experimental device for measuring gravitational acceleration with simple pendulum
PL424095A1 (en) * 2017-12-28 2019-07-01 Uniwersytet Łódzki Coupled pendulums
CN113539025A (en) * 2021-07-29 2021-10-22 上海应用技术大学 Initial value sensitive type variable distance magnetic force pendulum experimental device
GB2621177A (en) * 2022-08-05 2024-02-07 Andrew Karim Arif Repelling magnetic instrument

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103956093A (en) * 2014-05-19 2014-07-30 江南大学 Magnetic type combined rigid body
CN104575182A (en) * 2014-12-18 2015-04-29 韩腾 Experimental device for measuring gravitational acceleration with simple pendulum
PL424095A1 (en) * 2017-12-28 2019-07-01 Uniwersytet Łódzki Coupled pendulums
CN113539025A (en) * 2021-07-29 2021-10-22 上海应用技术大学 Initial value sensitive type variable distance magnetic force pendulum experimental device
CN113539025B (en) * 2021-07-29 2022-11-01 上海应用技术大学 Initial value sensitive type variable distance magnetic force pendulum experimental device
GB2621177A (en) * 2022-08-05 2024-02-07 Andrew Karim Arif Repelling magnetic instrument

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