基于新样条基函数的弹塑性厚/薄板子域分析  

Research on conventional spline domains for elastic-plastic problems of thick/thin plate based on new spline basis function

作　　者：韦斌凝[1] 彭修宁[1] 朱清元[1] 陈孔辉[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：《广西大学学报（自然科学版）》2011年第4期542-546,共5页Journal of Guangxi University（Natural Science Edition）

基　　金：中国博士后科学基金资助项目(20080440814);广西自然科学基金资助项目(桂科自0832024)

摘　　要：为了建立通用弹塑性的厚/薄板样条子域,通过位移参数法,从位移场入手,以位移作为独立变量,并且运用样条有限点法进行理论推导构造了一组新的样条基函数。结果显示:该样条子域分析厚薄板时不存在剪切闭锁现象,该新子域具有计算精度高、收敛性好、厚薄通用、编程简便等特点。所以基于新样条基函数构造的样条子域是一种有效、可靠的厚/薄板样条子域,可以满足工程中板分析的精度要求。In order to establish a spline subdomain that can be commonly used for elastic-plastic problems of thick/thin plate,displacement parameter method and spline finite point method are used.Taking displacement as independent variable,a new set of spline basis functions were deducted.The domains were proved to be shear-locking free while the plates vary from thick to thin.The example shows that the new spline domains are accurate,convergent,effective and reliable,and can be commonly applied to thick/thin plate problems.

关 键 词：样条基函数 厚/薄板样条子域 样条有限点法 剪切闭锁 

分 类 号：TU311.4[建筑科学—结构工程]