两自由度分段线性振动系统的亚谐解

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基金项目: 中国科学院基金资助的课题

Subharmonic Solution of a Piecewise Linear Oscillator with Two Degrees of Freedom

摘要: 本论文研究了两个自由度分段线性振动系统的亚谐解,其理论结果证明系统可能存在各种类型的亚谐解[(1.31)～(1.34)],如1/2,1/3,1/4,1/5,1/6,…亚谐共振解在模拟计算机的计算结果以及现场实验的结果中得到了部分证实。在一定的系统参数的情况下,模拟计算机的结果有浑沌现象发生。

Abstract: In the present paper subharmonic resonance solution of a piecewise linear loscillator with two degrees of freedom is studied, It is shown that in this system there eaist a series of subharmonic resonance solutions, among them there are 1/2, 1/3, 1/4,1/5,1/6, …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.

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