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

• Articles • Previous Articles     Next Articles

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

Chen Yu-shu, Jin Zhi-sheng   

  1. 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

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

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals