非线性弹性地基上中厚矩形板的非线性静力分析  

NONLINEAR STATIC ANALYSIS OF MODERATE THICKNESS RECTANGULAR PLATE WITH FOUR FREE EDGES ON NONLINEAR ELASTIC FOUNDATION

作　　者：肖勇刚[1] 钟加峰[1] 

机构地区：[1]长沙理工大学土木与建筑学院,长沙410076

出　　处：《工程力学》2009年第4期82-85,112,共5页Engineering Mechanics

摘　　要：研究了非线性弹性地基上四边自由中厚矩形板的非线性静力弯曲特性,根据Reissner中厚板理论,建立了非线性弹性地基上四边自由中厚矩形板的非线性静力控制微分方程,构造了满足全部边界条件的试探函数,应用伽辽金法求解方程,讨论了中厚矩形板及地基参数的变化对非线性弹性地基上四边自由中厚矩形板的非线性静力弯曲的影响。The nonlinear static bending of moderate thickness rectangular plate with four free edges on a nonlinear elastic foundation is researched. Based on the Reissner theory on the moderate thickness rectangular plate, the nonlinear static control differential equations are derived for the moderate thickness rectangular plate with four free edges on a nonlinear elastic foundation, the trial functions which satisfied all of the boundary conditions are constructed and the differential equation is solved by Galerkin method, and the effects of the parametric variation of the plate and foundation to the nonlinear static bending of the thick Rectangular Plate with four free edges are discussed.

关 键 词：非线性弹性地基 Reissner中厚板理论 试探函数 伽辽金法 非线性静力弯曲 

分 类 号：O343.5[理学—固体力学]