四边简支条件下正交各向异性蜂窝夹层板的固有特性分析

以四边简支正交各向异性矩形蜂窝夹层板为研究对象，应用Reissner-Mindlin夹层板剪切理论，在考虑横向剪切变形的基础上，给出了一种将夹层板弯曲控制方程组化为仅含一个位移函数的单一方程的方法，从而获得了四边简支条件下矩形蜂窝夹层板弯曲振动固有频率的精确解，理论结果与数值结果和实验结果取得很好的一致，验证了本文方法的合理性；在此基础上研究了面板、芯层的各项结构和材料设计参数对夹层板其固有频率的影响，并对各设计参数对夹层板固有频率的调控机理进行了分析。研究结果对蜂窝夹层板的结构设计和工程应用具有指导意义。

Connatural characteristics analysis of rectangular orthotropic honeycomb sandwich panels with all edges simply supported

The natural frequencies of rectangular orthotropic honeycomb sandwich panels with simply supported boundary conditions were investigated.With the transverse shear deformation taken into account and by using the Reissner-Mindlin shear deformation plate theory,a simple approach to reduce the governing equations of orthotropic honeycomb sandwich panels to a single equation containing only one displacement function was presented,and then the exact solutions of the natural frequencies of rectangular orthotropic honeycomb sandwich panels with all edges simply supported were obtained.The accuracy of the theoretical predictions was checked,comparing with existing experimental and analytical results,and good agreement was achieved.The influences of structural and material parameters of the face sheet and core on the natural frequencies of orthotropic honeycomb sandwich panels were then systematically studied and the regulation mechanism of parameters with respect to natural frequency was analyzed.The conclusions are instructive to applications of honeycomb panels in engineering.