矩形夹层板稳定性分析  

Stability Analysis of Rectangular Sandwich Plate

作　　者：陈英杰[1,2] 吕婷婷 王超[2] 崔鹏[1] CHEN Yingjie;LYU Tingting;WANG Chao;CUI Peng(Key Laboratory of Green Construction and Intelligent Operation and Maintenance of Civil Engineering in Hebei Province,Yanshan University,Qinhuangdao 066004,Hebei,China;College of Architectural Engineering and Mechanics,Yanshan University,Qinhuangdao 066004,Hebei,China)

机构地区：[1]燕山大学河北省土木工程绿色建造与智能运维重点实验室,河北秦皇岛066004 [2]燕山大学建筑工程与力学学院,河北秦皇岛066004

出　　处：《力学季刊》2020年第3期571-581,共11页Chinese Quarterly of Mechanics

摘　　要：本文在Reissner理论基础上,应用功的互等定理推导了夹层矩形板稳定问题的基本解,在已推导出的夹层板基本解的基础上,利用功的互等法求解了两对边固定一边简支一边自由、两邻边简支另两邻边自由且角点支承、两邻边简支另两邻边自由且角点悬空三种不同边界条件下夹层板的稳定问题,给出了挠曲面方程及其对应的执行方程;进行了数值计算,并与有限元结果进行对照分析.结果表明:本文方法求解过程更简单,提供了一种求解夹层板稳定问题的新方法,计算结果对解决工程实际问题具有一定的参考价值.Based on the Reissner theory and using the reciprocal principle, the fundamental solution to the stability problem of rectangular sandwich plates is derived. Based on the fundamental solution of sandwich plate that has been derived and using the reciprocal method, the stability problem of sandwich plate is solved for three different boundary conditions, i.e.,(i) two opposite edges clamped, one edge simply supported and the other edge free,(ii) two adjacent edges simply supported, the other two edges free with the corner points supported, and(iii) two adjacent edges simply supported, the other two edges free with the corner points suspended. The surface deflection equation and the execution equations are given. The results from numerical calculations are compared with that from the finite element simulations. The results show that the procedure of the proposed method is simpler and provides a new method for solving the stability problem of sandwich plates. The calculation results have certain reference value for engineering problems.

关 键 词：夹层矩形板 稳定问题 功的互等定理 边界条件 挠曲面方程 

分 类 号：TU311[建筑科学—结构工程]