弹性地基上间断中厚矩形板的非线性静力分析  

Nonlinear Analysis for Disconnected Middle-thickness Plates on Elastic Foundation

作　　者：肖勇刚[1] 傅衣铭[2] 

机构地区：[1]长沙理工大学,湖南长沙410076 [2]湖南大学,湖南长沙410082

出　　处：《应用力学学报》2006年第4期532-536,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(50208004);交通部资助项目(200231582512)

摘　　要：研究弹性地基上带传力杆的间断中厚矩形板的非线性静力特性。荷载在传力杆中的传递由竖向弹簧模拟,其弹簧刚度取决于传力杆的特性以及杆与板间的相互作用。根据能量变分原理,考虑地基耦合效应,建立了双参数地基上带传力杆的间断矩形中厚板的非线性静力控制方程。构造出一组满足所有边界条件的试探函数,应用伽辽金法对该组非线性方程进行求解。数值算例中,讨论了传力杆参数、板的结构参数及地基参数对弹性地基上间断矩形中厚板的非线性静力特性的影响。The nonlinear static behaviors of rectangular moderate thickness plate with dowels on elastic foundation are investigated.The load transfer on dowels is modeled as vertical springs,whose stiffness depends on the dowel properties and the dowel-plate interaction.According to variational principle, the nonlinear governing equations of moderate thickness plate with discontinuities on two-parameter foundation are derived,and the suitable expressions of trial functions satisfying all boundary conditions are proposed.The numerical simulation reveals the effects of the dowel parameters and the other ones of the system on nonlinear static bending of the middle-thickness plates.

关 键 词：中厚板 弹性地基 传力杆 非线性 

分 类 号：O343.5[理学—固体力学]