摘要
针对复合材料悬臂板系统的非线性动力学行为进行了分析。模型考虑高阶横向剪切效应、几何大变形和横向阻尼的影响,基于Reddy的高阶剪切变形理von Karman的大变形理论,利用Hamilton原理,Galerkin离散和多尺度法得到系统横向位移的平均方程。应用广义Melnikov方法研究了复合材料悬臂板的非线性混沌动力学行为。分析了在共振带附近,复合材料悬臂板系统存在的Shilnikov类型多脉冲跳跃同宿轨道。最后结合数值模拟,进一步揭示系统存在多脉冲跳跃现象。
The nonlinear dynamic behavior of a laminated composite cantilever plate is investigated in this paper.The cantilever plate is considered to be subjected to the in-plane and transversal excitations.The Reddy＇s high-order shear deformation theory as well as von Kármán type equations are used to establish the equation of motion for the cantilever plate.Applying the Galerkin procedure to the partial differential governing equations of motion for the system,equations of transverse displacement are obtained.Then the method of multiple scales is used to obtain the averaged equations.The extended Melnikov method is employed to predict the multi-pulse chaotic motions of the cantilever plate.The theoretical result shows that there exists Shilnikov type multi-pulse jumping movement. The numerical results also reveal such chaotic phenomenon.
出处
《振动工程学报》
EI
CSCD
北大核心
2012年第2期124-129,共6页
Journal of Vibration Engineering
基金
国家自然科学基金重点资助项目(10732020
11072008)
