刚架几何非线性无网格法分析  

Analysis for Geometrical Nonlinearity of Steel Frames with Element-Free Method

作　　者：石晶[1,2] 郝际平[1] 

机构地区：[1]西安建筑科技大学土木工程学院,西安710055 [2]长安大学理学院,西安710064

出　　处：《建筑钢结构进展》2009年第1期46-48,62,共4页Progress in Steel Building Structures

摘　　要：本文以钢框架结构为研究对象,在非线性连续介质力学的有限形变理论的基础上,通过最小二乘法,采用无网格伽辽金法推导出梁柱几何非线性刚度矩阵,建立了相应的无网格法离散化系统方程,针对一榀典型钢框架,给出了其几何非线性无网格法分析结果并与有限元分析结果进行了对比,验证了本文方法的实用性和可靠性。In this paper, the steel frames are taken as the subject for study. Based on the finite deformation theory of nonlinear continuum mechanics, a geometrical nonlinear stiffness matrix of beam-column and the discretization system equation are obtained by using the least square and the element free Galerkin method. By contrasting the results of the finite element analysis and the element free Galerkin method for a geometrical nonlinear analysis of a typical steel frame, the application and reliability of the proposed method are verified.

关 键 词：钢框架 无网格伽辽金法 几何非线性 非线性连续介质力学 有限变形理论 

分 类 号：TU311.4[建筑科学—结构工程] TU328