Free vibration and wave power reflection in Mindlin rectangular plates via exact wave propagation approach
Free vibration and wave power reflection in Mindlin rectangular plates via exact wave propagation approach
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DOI：
10.1016/j.compositesb.2018.03.001
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发表时间：
2018-07
影响因子：
13.1
通讯作者：
S. Sarayi;A. Bahrami;M. Bahrami
中科院分区：
文献类型：
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作者：
S. Sarayi;A. Bahrami;M. Bahrami
反射、传播和能量分析在结构设计中至关重要，尤其是板。基于一阶剪切变形理论，对厚板进行了分析。采用波传播法（WPM）精确求解了不同经典边界条件下的共振频率和波功率反射。首先，频率的结果与其他文献进行比较，以验证在目前的工作中的精确提出的波解。然后，波分析和基准结果的自然频率为六种不同的边界条件的组合。结果表明，矩形厚板的波能反射是相当复杂的，一种特定类型的入射波会引起除简支边界条件外的其它类型的波，在简支边界条件下，反射波功率与系统参数无关。
Reflection, propagation and energy analysis are crucially important in designing structures, especially plates. A thick plate is considered based on first order shear deformation theory. Wave Propagation Method (WPM) is employed to exactly derive resonant frequencies and wave power reflection from different classical boundary conditions. Firstly, the frequency results are compared with other literature to validate the exact proposed wave solution in the present work. Then, wave analysis and benchmark results for natural frequencies are presented for six different combinations of boundary conditions. The results indicate that the wave power reflection of thick rectangular plates is quite complicated and an incident wave of a specific type gives rise to other types of waves except for simply supported boundary conditions where the reflected wave power does not depend on the system parameters.