层合厚板稳定问题的精确解

本文抛弃任何假设,导出正变异性厚板和层合厚板的三维弹性力学稳定问题的状态方程。对四边简支矩形层合厚板的稳定问题,给出其统一的精确解式。此解满足弹性力学全部方程并包含正交异性体的九个弹性常数。无论层数多少,最后都归结为解三元一次联立代数方程。数值结果与薄板理论、Mindlin理论以及Srinivasand Rao(1970)的弹性力学解作了比较,精度令人满意。

EXACT SOLUTION OF BUCKLING FOR THICK LAMINATE

Giving up any assumptions, three-dimensional state equations for the buckling of thick orthotropic plate and laminate are established. A unified exact analysis is presented for the buckling of simply supported rectangular thick plate and laminate made up orthotropic layers. All the governing equations of elasticity can be satisfied exactly and the nine elastic constants of orthotropy are taken into account. No matter how many the number of lagers, there are only three unknown quantities in the final three algebraic equations. Comparison of results from thin plate, Mindlin analysis and the work of S. Srinivas et al who analyzed the problem with theory of elasticity25 are given in the paper.