根据功能梯度复合材料矩形板的基本动力方程，基于模态叠加法求出简谐激励载荷作用下功能梯度板横向振动位移，结合结构振动功率流方程，研究功能梯度材料矩形板的振动及输入和传播功率流特性。算例中，首先计算功能梯度板固有频率，并与数值解进行对比分析，验证了算法的准确性。然后研究了功能梯度板输入功率流特性，讨论了不同梯度指数对输入功率流特性的影响。并通过可视化方法计算得到了功率流在板中的传播特性，通过功率流矢量图和流线图描述了功能梯度板。
Abstract
According to the basic dynamic equation of FGM rectangular plate, the transverse vibration response under harmonic excitation force was obtained based on modal superposition method. Combined with structural vibration power flow equation, the power flow analysis of the FGM rectangular plate was carried out.In the numerical example, the natural frequency of a FGM rectangular plate was firstly calculated, the theoretical solution was comparied with the FEM solution, which shows a good agreement. Then the input power flow of a FGM rectangular plate was analyzed, and the effect of different gradient indexs on the input power flows was discussed. And the propagation characteristics of the power flow in a FGM plate was analyzed through the visualization method, a FGM plate was described by the power flow vector and flow chart.
关键词
功能梯度 /
矩形板 /
振动功率流 /
模态叠加
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Key words
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functionally graded materials /
rectangular plate /
vibration power flow /
modal superposition
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参考文献
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