不同波纹板核的波纹夹层板抗弯刚度比较

摘要

The bending stiffnesses of two types of corrugated-core sandwich plates were compared by using Meshfree Calerkin method. The moving least-squares approximation (MLS) was adopted to construct the shape function based on Mindlin plate theory, and the approximate displacement fields of the plates were obtained. The stiffness equation of the entire structure was deduced by imposing the displacement compatible conditions between the plates. The essential boundary conditions were introduced by the full transformation method. The conclusion of the paper is that in the same conditions, the bending stiffness of corrugated-core sandwich plate (trapezoidally) is greater than corrugated-core sandwich plate (sinusoidally).%采用无网格伽辽金法对两种不同波纹板核的波纹夹层板抗弯刚度进行比较.基于Mindlin平板理论,采用移动最小二乘近似构造各板近似位移,通过位移协调条件将各板刚度方程叠加,以得到复合结构的整体刚度方程,位移边界采用完全变换法处理.算例结果表明:在同等条件下,梯形式波纹夹层板的抗弯刚度要高于正弦式波纹夹层板.