中文摘要：

针对蜂窝夹芯板的面外尺寸效应问题,提出了一种能揭示蜂窝夹芯板面外尺寸影响规律的＂三层板体胞＂计算模型;基于均匀化方法,建立了包含蒙皮和等效夹芯的夹芯板＂三层板体胞＂模型;采用有限元数值模拟与经典层合板理论公式,计算比较了在面外方向体胞数目变化时,不同蜂窝构型夹芯板弯曲响应和振动响应的变化规律。计算结果表明：夹芯板存在显著的面外尺寸效应,提出的＂三层板体胞＂模型能清晰地反映体胞面外尺寸对夹芯板性能的影响规律,当夹芯板在面外方向包含不多于3层体胞时,均匀化计算结果与有限元方法和层合板理论公式计算结果存在明显差异,反映了均匀化方法的局限性。

英文摘要：

A computational model,Tri-layer Unit Cell（TUC）model,which can reveal the out-plane size variation of sandwich panel unit cell,is proposed to study the out-plane size effects of honeycomb sandwich panels.In this model,based on homogenization method,the three dimensional unit cell of sandwich panel consisting of the upper and the lower skins and the homogenized core is constructed.It is compared with three methods,i.e.,homogenization method,the finite element method and the classical laminated plate theory,to illustrate influences of the out-plane size variation on bending and vibration response of sandwich panel.Numerical results show that the proposed TUC model can characterize the out-plane size effects of sandwich panel with different configuration cores.Significant differences between the homogenization results and the solutions by the other two methods demonstrate the limitations of the homogenization method when the sandwich panel contains no more than three cell layers in out-plane direction.