摘要
参数激励双摆属两自由度时变系统,是研究多自由度系统以及弹性体梁参激振动的基础。采用拉格朗日方法建立参数激励双摆的控制微分方程,通过多尺度法对其线性化方程进行分析,获得稳定性边界。并应用直接积分法对稳定性边界的正确性进行验证。
Parametrically excited double pendulum belongs to 2 degree freedom time-varying system,it is a basis to study nonlinear dynamics of multi-degree freedom system and elastic beam. In this paper, the governing differential equations of double pendulum is established with the Lagrange methods, the stability margin of corresponding linear equations are obtained by the multiple scale method. And the result is verified by the direct numerical integration.
出处
《苏州大学学报（工科版）》
CAS
2007年第3期47-51,共5页
Journal of Soochow University Engineering Science Edition (Bimonthly)
关键词
双摆
参数激励
稳定性边界
多尺度法
double pendulum
parametrically excitation
stability margin
multiple scale method
