Kirchhoff圆板的解析积分边界元法  

Analytic Integral BEM for Kirchhoff Circular Plate

作　　者：苏甘龙[1] 刘汉义[2] 

机构地区：[1]厦门理工学院建筑工程系,福建厦门361005 [2]厦门理工学院机械工程系,福建厦门361005

出　　处：《厦门理工学院学报》2006年第4期19-24,共6页Journal of Xiamen University of Technology

基　　金：福建省教育厅科技计划资助项目(JA04267)

摘　　要：利用一般弯曲薄板边界为规则曲线的特点,对工程常用的圆形弯曲薄板,采用线性单元,导出K irchhoff圆板各辅助态的边界积分解析表达式,建立问题的边界元法系统方程,从而使薄板的边界元分析完全避免通常使用的高斯积分,明显提高计算精度.给出4个不同荷载及边界条件情况的圆板的算例,计算结果表明,对于具有规则曲线边界的问题,采用解析积分的边界元法是十分有效的.Using the characteristic of the regular curve boundary for a bending plate in engineering, the analytic integral formulae of assistant states in boundary element method （BEM） with the linear element for a Kirchhoff circular plate are introduced and the systematic equation of BEM is established in this paper. The Gauss integral commonly used in analysis with BEM in bending plate is needless and the calculation precision is improved. Four examples with different loads and boundary conditions for the circular plate are given and the results indicate that using the analytic integral BEM for the problems with regular curve boundary is effective.

关 键 词：弯曲薄板 边界元法 解析积分 

分 类 号：O241.82[理学—计算数学]