考虑地基耦合效应时含裂纹中厚矩形板的自由振动分析  

VIBRATION ANALYSIS OF CRACKED MODERATELY THICK RECTANGULAR PLATES CONSIDERING THE COUPLED EFFECT OF ELASTIC FOUNDATION

作　　者：肖勇刚[1] 傅衣铭[1] 查旭东[2] 

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

出　　处：《工程力学》2005年第5期192-198,共7页Engineering 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：基于Hamilton变分原理,考虑板的横向剪切变形和地基耦合效应,建立了双参数地基上含横向表面贯通裂纹的中厚矩形板的运动控制方程。构造了满足边界条件及裂纹处连续条件的挠度函数,然后应用伽辽金方法进行求解。算例中,讨论了裂纹位置和深度的变化对弹性地基上四边自由中厚矩形板的自由振动特性的影响。Based on Hamilton variation principle, the equations of motion for the moderately thick rectangular plate with transverse surface penetrating crack on two-parameter foundation are established. The transverse shear deformation and the coupled effect of the foundation are taken into account. The deflection functions satisfying all boundary conditions and the crack＇s conditions are proposed and the equations are solved using Galerkin method. In numerical computations, the effect of the crack location and depth on the vibration behavior of the moderately thick rectangular plates with free boundary is considered.

关 键 词：中厚矩形板 弹性地基 裂纹 伽辽金法 自由振动 

分 类 号：O343.2[理学—固体力学] TU471.2[理学—力学]