CN100495476C

CN100495476C - Reverse swing dynamics property demonstration test instrument of horizontal reciprocating

Info

Publication number: CN100495476C
Application number: CNB200510016935XA
Authority: CN
Inventors: 陈丽宏; 夏彬; 张铁民
Original assignee: Northeast Normal University
Current assignee: Northeast Normal University
Priority date: 2005-06-24
Filing date: 2005-06-24
Publication date: 2009-06-03
Anticipated expiration: 2025-06-24
Also published as: CN1716341A

Abstract

The dynamic characteristic demonstrating and testing instrument for horizontally reciprocating inverted pendulum is one kind of physical demonstrating and testing equipment. The dynamic characteristic demonstrating and testing instrument is mainly for demonstrating intuitively the time domain diagram of oscillating angle characteristic of inverted pendulum vibrator under the drive of frequency varying motor. The present invention is one simple force vibration system comprising one inverted pendulum on one horizontally reciprocating bogie platform, and one frequency varying motor connected via one rigid crank link rod to one end of the bogie to make the bogie reciprocate linearly and horizontally on one smooth plane. The instrument has simple structure and excellent chaos principle demonstrating effect and can show intuitively chaos motion via demonstrating non-linear dynamic characteristic of inverted pendulum.

Description

A kind of reverse swing dynamics property demonstration test instrument of horizontal reciprocating movement

Technical field:

Patent of the present invention belongs to the physics demonstration experiment instrument. relate to a kind of reverse swing dynamics property demonstration test instrument.

Background technology:

In recent years, many all included in the College Physics teaching material of 21st century nonlinear theory. the teacher of many universities and colleges lectures this part content, usually adopt the image of computer auxiliaring means display systems motion. lack the Specialty Experiment demonstrator. as one of emphasis of content of courses reform, need apparatus for demonstrating that simply can present the chaotic motion phenomenon of design.

Summary of the invention:

The nonlinear dynamic characteristic of pendulum is fallen in the reverse swing dynamics property demonstration test instrument demonstration that the purpose of patent of the present invention provides the horizontal reciprocating movement that a kind of periodicity external force driven, thereby has disclosed the kinetic characteristic of the bifurcation phenomena of this system. and allowing the undergraduate understand and what is familiar with is key concept and theories such as chaos and feature thereof.

The demonstration test instrument that the present invention is driven vibration is mainly demonstrated the time-domain diagram of pendulum angle characteristic that falls shimmy son under variable-frequency motor drives intuitively. soon put on the trolley platform of horizontal reciprocating movement; Dolly one end has a rigidity crank connecting link to link to each other with variable-frequency motor, rotate to produce periodically outer power-driven system by motor, and its along continuous straight runs on smooth horizontal plane is done reciprocating linear motion, and promptly constitutes a simple forced vibration system.

This apparatus structure is simple, and the demonstration chaos principle is respond well. and demonstration is the nonlinear dynamic characteristic of pendulum, can read the pendulum angle of swing ball constantly, can observe the existence of chaotic motion intuitively from a real physical system (or other system).

RS-232 interface by control box links to each other with the PC computing machine, independently opens " realtime monitoring of falling pendular motion instrument " software can be observed swing ball on display swing curve figure on computers.

Description of drawings:

Fig. 1 is the structural representation (front elevation) of the reverse swing dynamics property demonstration test instrument of horizontal reciprocating movement

Fig. 2 is the structural representation (rear view) of the reverse swing dynamics property demonstration test instrument of horizontal reciprocating movement

1:1-swing ball 2-fork 3-disc spring 4-dolly flat board 5-crank connecting link links to each other among the figure, and 6-variable-frequency motor, 7-motor is powered and fixed leg adjusting handle at 14-zero point 15-central shaft 16-slide bar fixed leg 17-slideway 18-display board 19U type organic glass fixed mount of signal cable 8-control box 9-RS-232 interface 10-data line 11-driving wheel disc 12-base plate 13-flat bogie

Among Fig. 2: the power supply of 20-rotary coding dish, 7-motor and signal cable 9-RS-232 interface 10-data line 16-slide bar fixed leg

Below in conjunction with accompanying drawing the present invention is further described, structure of the present invention, characteristics the present invention includes mechanical system and measuring system:

The structure of mechanical system: with being about 40cm, wide about 20cm, the organic glass of thick about 1cm is made dolly flat board 4, the dolly flat board is installed four columns 13 that sleeve pipe is arranged down, and there are six columns 16 to fix two horizontal parallel slide bars equably on the base plate 12 is slideway 17, dolly flat board 4 fixes 13 on two horizontal parallel slide bars 17 on the base plate 12 by four sleeve pipes, oil groove is arranged on the sleeve pipe, dull and stereotyped 4 one ends of dolly link to each other with variable-frequency motor 6 with a rigidity crank connecting link 5, motor 6 makes with certain circular frequency and drives wheel disc 11 rotations, make dolly 4 do straight reciprocating motion by crank connecting link 5, promptly constitute a simple forced vibration system at horizontal parallel slide bar 17 upper edge trapped orbits.

The structure of measuring system: mainly contain may command case 8; Variable-frequency motor 6 (0～30V); Fork 2 and rotary encoder 20 etc.

1) with U type organic glass 19 spring 3 and fork 2 are fixed on the flat bogie flat board 4, one end of spring 3 is fixed on the fork 2 and is the A place apart from central shaft 15 central point O points, the other end is fixed on adjustable knob 14, can change the initial position (i.e. zeroing) of fork 2 by knob 14; Fork 2 one ends are fixed on the central point O place of central shaft 15, the other end is installed swing ball 1, can be divided into two sections in the centre, the metal sleeve long with about 1cm is connected fixing with helical structure, the replaceable different length of upper semisection, play the effect that changes pendulum length, on flat board, pendulum back vertical fixing has the poly (methyl methacrylate) plate 18 of angle index.

2) in experimentation, when control box 8 is given electric variable-frequency motor 6 power supplies by motor power supply and signal cable 7, use driven by motor to drive and make this nonlinear system along continuous straight runs to-and-fro movement of dolly after wheel disc 11 rotates, utilize rotary encoder 20 image data (as shown in Figure 2) back to deliver to control box 8 by data line 10, link to each other with the PC computing machine by RS-232 interface 9 by control box again, can be observed swing ball 1 swing curve figure on " realtime monitoring of falling pendular motion instrument " software display by independently opening on computers, software has been preserved " * .txt " file of these data automatically under the catalogue at its place in addition.

Claims

1, a kind of reverse swing dynamics property demonstration test instrument of horizontal reciprocating movement, it is characterized in that comprising mechanical system and measuring system, the structure of mechanical system: four columns (13) that sleeve pipe is arranged are installed down at dolly flat board (4), there are six columns (16) to fix two horizontal parallel slide bars (17) equably on the base plate (12), dolly flat board (4) is fixed on the two horizontal parallel slide bars (17) on the base plate (12) by the column (13) that four sleeve pipes are arranged, oil groove is arranged on the sleeve pipe, dolly flat board (4) one ends link to each other with variable-frequency motor (6) with a rigidity crank connecting link (5), motor (6) makes with certain circular frequency and drives wheel disc (11) rotation, make dolly flat board (4) do straight reciprocating motion by crank connecting link (5), promptly constitute a simple forced vibration system at horizontal parallel slide bar (17) upper edge trapped orbit;

The structure of measuring system: may command case (8) is arranged; Variable-frequency motor (6); Fork (2) and rotary encoder (20), with U type organic glass (19) spring (3) and fork (2) are fixed on the dolly flat board (4), one end of spring (3) is fixed on fork (2) and upward is the A place apart from central shaft (15) central point O point, the other end is fixed on adjustable knob (14), can change the initial position of fork (2) by knob (14), fork (2) one ends are fixed on the central point O place of central shaft (15), the other end is installed swing ball (1), can be divided into two sections in the centre, the metal sleeve long with about 1cm is connected fixing with helical structure, the replaceable different length of upper semisection, to reach the effect that changes pendulum length, on flat board, pendulum back vertical fixing has the poly (methyl methacrylate) plate (18) of angle index.

2, press the reverse swing dynamics property demonstration test instrument of a kind of horizontal reciprocating movement of claim 1, it is characterized in that utilizing rotary encoder (20) image data, control box (8) is delivered to by data line (10) in the back, is linked to each other with the PC computing machine by RS-232 interface (9) by control box again.