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干摩擦振动系统响应计算方法研究
引用本文:白鸿柏,黄协清.干摩擦振动系统响应计算方法研究[J].振动工程学报,1998,11(4):472-476.
作者姓名:白鸿柏  黄协清
作者单位:西安交通大学机械工程学院
摘    要:运用Fourier级数分析技巧和谐波平衡法,提出了一种三次非线性粘性阻尼双线性滞迟振子强迫振动响应计算方法,并通过四阶Runge-Kutta数值积分对近似解析方法的精确性进行了验证。根据Floquet理论,对定常解的稳定性和鞍结分叉现象进行了讨论。

关 键 词:非线性振动  双线性滞迟振子  强迫振动  鞍结分叉

Study on Response Computation of Dry Friction Damped Vibration System
Bai,Hongbai,Huang,Xieqing.Study on Response Computation of Dry Friction Damped Vibration System[J].Journal of Vibration Engineering,1998,11(4):472-476.
Authors:Bai  Hongbai  Huang  Xieqing
Abstract:By the harmonic balance method in nonlinear theory and Fourier analysis, response computation for the forced vibration of viscous damping bilinear hysteretic oscillator with cubic restoring force is studied. To obtain a frequency response curve of the system, a nonlinear transcendental algebraic equation should be resolved firstly. The approach is examined by forth order Runge Kutta numerical integration. At the same time the stability of periodic solutions and the saddle node bifurcation are discussed based on Floquet theory. Through the numerical and theoretical investigation, a conclusion that the saddle node bifurcation due to the cubic nonlinear will happen under higher level exciation.
Keywords:nonlinear  vibration  bilinear  hysteretic  oscillator  forced  vibration  saddle  node  bifurcation
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