悬臂中厚矩形板的非线性弯曲  

Nonlinear Bending of Cantilevered Moderately Thick Rectangular Plates

作　　者：苏文兰[1] 杨健[1] 赵涛[1] 

机构地区：[1]上海交通大学建筑工程与力学学院,上海200030

出　　处：《上海交通大学学报》2001年第10期1497-1502,共6页Journal of Shanghai Jiaotong University

摘　　要：基于 Reissner- Mindlin一阶剪切变形板理论 ,选取满足位移的边界条件 ,并以级数形式表示挠度函数 .采用摄动法 ,把大挠度非线性方程组化为一系列线性方程组 ,然后用 Rayleigh- Ritz法确定位移函数中的待定系数 ,给出悬臂中厚矩形板非线性弯曲问题的大挠度渐近解 .同时 ,给出了数值算例及参数分析 ,讨论了板长宽比、宽厚比以及载荷形式对板载荷 -挠度曲线及载荷 -弯矩曲线的影响 .A nonlinear bending analysis of a cantilevered moderately thick rectangular plate subjected to a transverse uniform pressure or a concentrated load was presented. The formulations are based on Reissner-Mindlin plate theory, considering the first-order shear deformation effect. The analysis uses perturbation technique in conjunction with Rayleigh-Ritz method to determine the load-deflection and load-bending moment curves. A comparison study and a parametric study are carried out to show the effects of plate aspect ratio and thickness-to-width ratio as well as the transverse load on the load-deflection and load-bending moment curves.

关 键 词：矩形悬臂板 中厚板 非线性弯曲 摄动法 Rayleigh-Ritz法 

分 类 号：O343.1[理学—固体力学]