非均匀弹性地基上预应力中厚矩形板的动力响应  

Dynamic response of initially stressed moderately thick rectangular plates on non-homogenous elastic foundations

作　　者：林海斌[1] 沈惠申[1,2] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200030 [2]海洋工程国家重点实验室,上海200030

出　　处：《强度与环境》2009年第3期23-29,共7页Structure & Environment Engineering

摘　　要：基于Reissner-Mindlin一阶剪切变形板理论,讨论在预加面内机械荷载和温度场作用下,非均匀双参数弹性地基上中厚矩形板在动荷载作用下的动力特性。用一组数学上完备的二元多项式作为位形函数,采用pb-2Rizt法求得四边自由中厚矩形板的动力响应,并讨论了初应力对板的动挠度和动弯矩的影响。Based on Reissner-Mindlin first order shear deformation plate theory, dynamic response of an initially stressed, moderately thick rectangular plate resting on a non-homogenous elastic foundation of Pastemak-type is presented. Initial stresses are induced by in-plane mechanical loads or temperature fields. A set of pb-2 eigenfunctions, which effectively satisfies various boundary conditions, is adopted and Rayleigh-Ritz method is employed to determine the deflections and bending moments of lhe plate. The effects played by initial membrane stress as well as thermal stress are studied.

关 键 词：非均匀弹性地基 中厚板 动力响应 预应力 

分 类 号：O326[理学—一般力学与力学基础]