厚/薄板稳定分析的样条无单元法  

Spline element-free method for thick/thin plate stability analysis

作　　者：韦良[1] 秦荣[1] 李秀梅[1] 吴锋[1] 

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004

出　　处：《四川建筑科学研究》2011年第2期17-21,共5页Sichuan Building Science

基　　金：国家自然科学基金资助项目(19872001);广西自然科学基金项目(桂科自0339013)

摘　　要：把挠度和剪应变作为独立的场变量,以Mindlin-Reissner中厚板理论为基础,建立了厚/薄板稳定分析的样条无单元法的计算格式。样条无单元法无需单元分划,仅对整个求解区域作少量的样条结点离散,采用双向3次B样条基函数乘积的线性组合构造场函数,可充分发挥无单元法和B样条函数的优点。数值计算结果表明,该方法适用于不同厚度、不同边界的板的稳定分析,且精度高,收敛快,自由度少,无剪切闭锁现象,程序简便。The spline element-free method computation format for the stability analysis of thick/thin plate is established based on Mindlin-Reissner theory,which takes deflection and shear strains as the independent field variables.The field functions are formatted by the linear combination of double B-spline basis functions.With no meshing,only a few dispersed knots are needed,this method can make full use of the advantages of element-free method and B-spline function.Numerical results show that this method has many advantages such as high precision,rapid convergence,less degree of freedom,no shear locking phenomenon,easy to be programmed,applicable for the stability analysis of the plate with various boundaries and various thickness.

关 键 词：厚/薄板 样条无单元法 稳定 变分原理 

分 类 号：TU375.2[建筑科学—结构工程]