硬夹心矩形夹层板的整体稳定性分析

THE OVERALL BUCKLING ANALYSIS OF RECTANGULAR SANDWICH PLATES WITH HARD CORE

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Ec、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.

Based on the displacement mode by Reissner,a hard sandwich hypothesis is suggested to a mend the soft sandwich hypothesis. By considering the Sandwich layer＇ s in-plane stiffness and bending stiffness, the geometric equations and physical equations of hard-sandwich plate are given, and the balance differential equation of the hard-sandwich plate structure under the in-plane parallel loads is established. By solving these equations, the analytical solution of the simply supported hard-sandwich plate structure is ob- tained,and influences of the elastic modulus,plate thickness,Poisson＇s ratio and density on the critical load of hard sandwich are studied. The results show that, the in-plane stiffness of sandwich layer influences heavily the critical load,so it is necessary to consider the in-plane stiffness for solving the critical buckling of rectangular sandwich plates with hard core.