SUBHARMONIC SOLUTION OF A PIECEWISE LINEAR OSCILLATOR WITH TOW DEGREES OF FREEDOM

Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (3): 223-232.

SUBHARMONIC SOLUTION OF A PIECEWISE LINEAR OSCILLATOR WITH TOW DEGREES OF FREEDOM

陈予恕, 金志胜

Tianjin University, Tianjin

收稿日期:1985-06-25 出版日期:1986-03-18 发布日期:1986-03-18
基金资助:
Projects Supported by the Science Fund of the Chinese Academy of Sciences

SUBHARMONIC SOLUTION OF A PIECEWISE LINEAR OSCILLATOR WITH TOW DEGREES OF FREEDOM

Chen Yu-shu, Jin Zhi-sheng

Tianjin University, Tianjin

Received:1985-06-25 Online:1986-03-18 Published:1986-03-18
Supported by:
Projects Supported by the Science Fund of the Chinese Academy of Sciences

摘要/Abstract

摘要： In the present paper subharmonic resonance solution ofapiecewise linear oscillator with two degrees of freedom is studied. It is shown that in this system there exist a series of subharmonic resonance solutions, among them there are 1/2, 1/3, 1/4, 1/5, 1J6,……subharmonic resonance solutions. The calculated results by the analogy computer and the field experiments in the factory partly verify this theory. Under certain circumstances, the generation of chaotic states of the oscillation is observed in analogy computer solutions.

关键词: magnetoelastic, monoclinic, shear wave, perturbation, dispersion equation, irregularity

Abstract: In the present paper subharmonic resonance solution ofapiecewise linear oscillator with two degrees of freedom is studied. It is shown that in this system there exist a series of subharmonic resonance solutions, among them there are 1/2, 1/3, 1/4, 1/5, 1J6,……subharmonic resonance solutions. The calculated results by the analogy computer and the field experiments in the factory partly verify this theory. Under certain circumstances, the generation of chaotic states of the oscillation is observed in analogy computer solutions.

Key words: shear wave, perturbation, magnetoelastic, dispersion equation, irregularity, monoclinic

陈予恕;金志胜. SUBHARMONIC SOLUTION OF A PIECEWISE LINEAR OSCILLATOR WITH TOW DEGREES OF FREEDOM[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(3): 223-232.

Chen Yu-shu;Jin Zhi-sheng. SUBHARMONIC SOLUTION OF A PIECEWISE LINEAR OSCILLATOR WITH TOW DEGREES OF FREEDOM[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(3): 223-232.

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SUBHARMONIC SOLUTION OF A PIECEWISE LINEAR OSCILLATOR WITH TOW DEGREES OF FREEDOM

SUBHARMONIC SOLUTION OF A PIECEWISE LINEAR OSCILLATOR WITH TOW DEGREES OF FREEDOM

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