摘要
研究轴向运动梁在外激励力作用下非线性振动的联合共振问题。利用哈密顿原理建立横向振动的轴向运动梁的振动微分方程,采用分离变量法分离时间变量和空间变量并利用G a lerk in方法离散运动方程。采用IHB法进行非线性振动求解,分析在内共振条件且外激励作用下的联合共振问题,对周期解进行稳定性的判定。典型算例获得了不同外激励力振幅时系统非线性振动的复杂频幅响应曲线。
Abstract： The combination resonance responses of nonlinear forced vibration of the axially moving beam are studied. The motion equations of the axially moving beam are derived through the Hamilton＇s Principle and discretized by the Galerkin＇s method. The IHR method is employed to solve the nonlinear vibration equations and to analyze the combination resonance of the system with internal resonance and forced vibration. And stability of the periodic solutions is studied. Numerical results show the complicated frequency-amplitude response curves of the axially moving beam.
出处
《振动工程学报》
EI
CSCD
北大核心
2011年第5期455-460,共6页
Journal of Vibration Engineering
基金
国家自然科学基金资助项目(10972240
11002164)
中央高校基本科研业务费专项资金资助(111gpy51)
广东省科技计划项目(2011A630200012)
关键词
非线性振动
轴向运动梁
IHB法
联合共振
nonlinear vibration
axially moving beam
IHB method
combination resonance
