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钢框架非线性分析的无网格法研究

Analysis for nonlinearity of steel frames with element-free method
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摘要 以钢框架结构为研究对象,针对影响钢结构承载力的几何非线性和连接非线性因素,引入无网格法进行分析.首先,应用非线性连续介质力学的有限变形理论和无网格伽辽金法,建立了梁柱几何非线性刚度矩阵.然后,针对半刚性钢框架,建立了无网格法与有限元法耦合的分析方法.通过一榀典型的半刚性钢框架几何非线性分析,验证了本文方法的实用性和可靠性. By taking the steel frames as the subject for study and using the element-free method, the nonlinear effects of geometry and connection on bearing capacity of steel frames are analyzed. By using the finite-deformation theory of the nonlinear continuum mechanics and the element-free Galerkin method, a geometrical nonlinear stiffness matrix of beamcolumn is obtained in this paper. The coupling element-free Galerkin with finite element method for semi-rigid steel frames is given. The application and reliability of the method are verified by a geometrical nonlinear analysis of a typical semi rigid steel frame example.
作者 石晶 郝际平
出处 《西安建筑科技大学学报(自然科学版)》 CSCD 北大核心 2009年第1期37-40,46,共5页 Journal of Xi'an University of Architecture & Technology(Natural Science Edition)
基金 国家自然科学基金资助项目(50378078)
关键词 半刚性钢框架 无网格伽辽金法 几何非线性 耦合 semi-rigid steel frame,element free Galerkin method geometrical nonlinearity coupling
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