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工程力学  2015 

受初应力作用的轴向运动功能梯度梁的动力学分析

DOI: 10.6052/j.issn.1000-4750.2014.03.0223, PP. 226-232

Keywords: 功能梯度材料,轴向运动梁,初应力,固有频率,模态函数

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Abstract:

基于Euler梁模型研究了初始应力作用下轴向运动功能梯度材料梁的横向振动问题。假设材料性质沿梁的厚度方向按幂指数形式连续变化,利用Hamilton原理建立了系统的控制方程,应用复模态法求得了其固有频率和模态函数,接着分析了轴向运动速度、梯度指数、初应力大小等因素对梁的动力响应的影响。结果表明:梯度指数和轴向速度的增大都会导致固有频率降低,轴向初应力的增大则使得固有频率升高。

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