弹性薄板弯曲问题的四次边界轮廓法  

THE BOUNDARY CONTOUR METHOD FOR ELASTIC THIN PLATE BENDING PROBLEMS WITH QUARTIC BOUNDARY ELEMENTS

作　　者：吕伟[1] 陈颂英[1] 刘燕 周慎杰[1] 孙树勋 

机构地区：[1]山东工业大学环境与化学工程学院,济南250061

出　　处：《山东工业大学学报》1999年第6期511-518,共8页

基　　金：山东省自然科学基金

摘　　要：提出了弹性薄板弯曲问题的边界轮廓法 ,给出了四次形函数及边界单元形式 ,讨论了边界轮廓法计算列式 ,并给出了计算内力的边界轮廓法方程 .该法无需进行数值积分计算 ,完全避免了角点问题和奇异积分计算 .文末给出了算例 ,与解析解相比较 ,证实该方法的有效性 .A further development of the boundary contour method for elastic thin plate bending problems is presented. In this method the line integral on the usual boundary elements is transformed into the evaluation of potential functions at points on the boundary of a plate. The qaurtic shape function is chosen and the configuration of correspondent boundary elements is given. The numerical implementation with quartic boundary elements is carried out. This approach avoids completely numerical integration and the modeling of corners. Comparison between the results of the boundary contour method and the analytical results shows well agreement.

关 键 词：边界元法 弹性薄板弯曲 四边边界轮廓法 解析解 有效性 

分 类 号：O343[理学—固体力学]