摘要
把薄墙的成员，基于 Timoshenko 鈥檚 横梁和 Vlasov 鈥檚 的理论有一个内部节点的一个新空间薄墙的横梁元素被开发。由独立地插入内推把角度和经纱弄弯，因素例如横向砍变丑，扭力砍变丑并且他们的联合，弯曲和扭转联合，并且第二砍应力被考虑。根据 Hellinger-Reissner 的概括变化理论，元素僵硬矩阵被导出。例子证明发达模型是精确的并且能在薄墙的结构的有限元素分析被使用。关键词空间横梁-薄墙的节-僵硬矩阵-砍变丑-弯曲和扭转联合-第二砍陈丽群工程传达的压力汉语图书馆分类 TU323.3 2000 数学题目分类 74K10 由中国(号码 50725826 )的国家自然科学地基支持了，国家科技支持节目(号码 2008BAJ08B06 )，国家技术研究和发展编程序(号码
Based on the theories of Timoshenko＇s beams and Vlasov＇s thin-walled members, a new spatial thin-walled beam element with an interior node is developed. By independently interpolating bending angles and warp, factors such as transverse shear deformation, torsional shear deformation and their Coupling, coupling of flexure and torsion, and second shear stress are considered. According to the generalized variational theory of Hellinger-Reissner, the element stiffness matrix is derived. Examples show that the developed model is accurate and can be applied in the finite element analysis of thinwalled structures.
基金
Project supported by the National Natural Science Foundation of China(No.50725826)
the National Science and Technology Support Program(No.2008BAJ08B06)
the National Technology Research and Development Program(No.2009AA04Z420)
the Shanghai Postdoctoral fund (No.I0R21416200)
关键词
关键词空间横梁
薄墙的节
僵硬矩阵
砍变丑
弯曲和扭转联合
第二砍应力
spatial beams, thin-walled section, stiffness matrix, shear deformation,coupling of flexure and torsion, second shear stress
