论文标题
Mindlin矩形板通过精确波传播方法在Mindlin矩形板中的自由振动和波力反射
Free vibration and wave power reflection in Mindlin rectangular plates via exact wave propagation approach
论文作者
论文摘要
反射，传播和能量分析对于设计结构，尤其是板块至关重要。根据一阶剪切变形理论考虑厚板。波浪传播方法（WPM）用于从不同的经典边界条件中精确得出共振频率和波功率反射。首先，将频率结果与其他文献进行比较，以验证当前工作中精确的波浪解决方案。然后，为边界条件的六种不同组合提供了固有频率的波分析和基准结果。结果表明，厚矩形板的波力反射非常复杂，并且特定类型的入射波会引起其他类型的波，除了简单支持的边界条件不取决于系统参数。
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.
