硬夹心矩形夹层板的整体稳定性分析

论文在Reissner型理论给出的位移模式基础上,修正其软夹心假设,考虑夹心层面内刚度,给出了硬夹心夹层板的几何方程、物理方程,建立了硬夹心夹层板结构在面内纵向载荷作用下的平衡微分方程,并对方程进行了简化,通过理论计算得到了四边简支条件下硬夹心矩形夹层板整体失稳临界载荷的解析解,并分别计算了夹心层材料的弹性模量E、厚度h、泊松比μc对硬夹心夹层板临界载荷的影响,结果证明,对于硬夹心夹层结构,夹心层面内刚度对硬夹心夹层板整体失稳临界载荷的影响较大,考虑其面内刚度是必要的.

THE OVERALL BUCKLING ANALYSIS OF RECTANGULAR SANDWICH PLATES WITH HARD CORE

Abstract: This article is based on the displacement mode which put forward by Reissner type theory, to amend the soft sandwich hypothesis, puts forward a hard sandwich hypothesis, namely to considering the Sandwich layer’s in-plane stiffness and bending stiffness, get the geometric equations and physical equations of hard-sandwich plate, established the balance differential equation of the hard sandwich interlayer board structure which in the in-plane parallel loads. Simplify the equation, got the analytical solution of the hard sandwich interlayer board structure’s critical load which under the condition of four simply supported, and calculate the influence of the sandwich layer material’s elastic modulus, thickness, Poisson’s ratio and density on hard sandwich board’s critical load, the results show that, the sandwich layer’s in-plane stiffness has great influence on the critical load, consider the in-plane stiffness is necessary.