高维强非线性隔振系统谐波及分岔分析

何其伟1, 俞翔1, 毛为民2

振动与冲击 ›› 2016, Vol. 35 ›› Issue (11) : 61-65.

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PDF(1489 KB)
振动与冲击 ›› 2016, Vol. 35 ›› Issue (11) : 61-65.
论文

高维强非线性隔振系统谐波及分岔分析

  • 何其伟1, 俞翔1, 毛为民2
作者信息 +

Subharmonic and bifurcation analysis for high-dimensional strongly nonlinear vibration isolation system

  • HE Qiwei1,YU Xiang1,Mao Weimin2
Author information +
文章历史 +

摘要

从次谐波级联角度,利用谐波平衡法与跟踪延拓算法得到了高维强非线性隔振系统各级次谐波的幅频特性曲线,分析了次谐波的稳定性,研究了两条分岔道路,得到了典型的倍周期分岔值,以此估计了混沌参数区域,与数值计算结果吻合较好。

Abstract

Cascades of subharmonics and their stability for high-dimensional strongly nonlinear vibration isolation system were studied by combining the harmonic balance method and the predictor–corrector method. The amplitude-frequency curves of every level subharmonic were plotted. Two routes of bifurcation were analyzed and the boundaries of the period-doubling bifurcations were obtained through the stability analysis, and then, the parameter regions of chaos were estimated. The results are almost the same as those obtained by numerical simulations.

关键词

非线性 / 次谐波 / 分岔 / 混沌

Key words

nonlinear / subharmonic / bifurcation / chaos

引用本文

导出引用
何其伟1, 俞翔1, 毛为民2. 高维强非线性隔振系统谐波及分岔分析[J]. 振动与冲击, 2016, 35(11): 61-65
HE Qiwei1,YU Xiang1,Mao Weimin2. Subharmonic and bifurcation analysis for high-dimensional strongly nonlinear vibration isolation system[J]. Journal of Vibration and Shock, 2016, 35(11): 61-65

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