硬夹心夹层板反对称变形

Antisymmetric deflection of sandwich plates with hardcore

考虑面板和夹心的横向剪切刚度与弯曲刚度,基于小变形和变形协调性的假设,引入5个广义位移以描述夹层板的变形,采用广义变分原理,推导了各向同性材料夹层板的2个面内变形和1个横向变形的基本方程。以四边简支、受横向均布载荷作用的矩形夹层板为例,对比计算了夹心弹性模量和面板厚度的变化对计算结果的影响,并与基于Reissner理论和H.J.Hoff理论的夹层板模型的计算结果进行对比,结果表明,考虑面板和夹心的横向剪切刚度和抗弯刚度可以有效地提高夹层板弯曲变形的计算精度。

The bending and transverse shear stiffness of the core and the surfaces were considered in the analysis of sandwich plates.Based on the assumptions of small deformation and deformations compatibility conditions,take advantage of 5 variables of general displacements to describe the deformations of sandwich plates,the differential equations of the plates bending were derived by the generalized variational principle,two in-plane differential equations and one transverse differential equations were given.An example with four edges simply support and the transverse pressure supplied on the surface was given,to compare the different between Reissner and/or Hoff' s theory and the theory in present paper.The results explained that it' s much more accurate to estimate the bending deformation after the transverse shear stiffness and the bending stiffness of both surfaces and the core were considered.