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梁摆系统耦合振动分析
引用本文:钱长照,李克安. 梁摆系统耦合振动分析[J]. 动力学与控制学报, 2006, 4(4): 375-379
作者姓名:钱长照  李克安
作者单位:长沙理工大学桥梁与结构工程学院,长沙,410076;湖南理工学院机械与电气工程系,岳阳,411400
摘    要:分析了梁摆系统的耦合振动,梁和摆均考虑为线性.研究发现该系统含有非线性动力行为,在某些条件下会发生叉形分叉.用结构动力学理论建立了梁摆系统的耦合振动方程,用摄动法求出了系统的近似解,分析了该系统的动力响应及分叉.最后用MATHMATIC软件对分叉点前后动力响应进行分析.

关 键 词:耦合振动  分叉  摄动法
收稿时间:2006-07-04
修稿时间:2006-09-15

Dynamics analysis for coupled pendulum and beam system
Qian Changzhao and Li Ke-an. Dynamics analysis for coupled pendulum and beam system[J]. Journal of Dynamics and Control, 2006, 4(4): 375-379
Authors:Qian Changzhao and Li Ke-an
Abstract:The dynamical characteristics for the coupled pendulum and beam system were studied.The nonlinear characteristics,including geometrically nonlinear and physically nonlinear,were not considered in the beam and pendulum.But the nonlinear items were found in the coupled vibration equations derived from structure dynamics.Using the perturbation method,the dynamical response and bifurcation were studied.Using the software MATHMATIC,the responses of point near the bifurcation point were obtained.
Keywords:coupled vibration  bifurcation  perturbation method
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