高维强非线性隔振系统谐波及分岔分析

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

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。

Cascades of subharmonic waves and their stability for a high-dimensional strongly nonlinear vibration isolation system were studied by combining the harmonic balance method and the predictor-corrector method.The amplitude-frequency curve of every subharmonic wave was plotted.Two routes of bifurcation were analyzed and the boundaries of the period-doubling bifurcations were obtained through the stability analysis,and then the parametric regions of chaos were estimated.The results agreed well with those obtained with numerical simulations.