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A new beam element for analyzing geometrical and physical nonlinearity
  • ISSN号:0567-7718
  • 期刊名称:Acta Mechanica Sinica/Lixue Xuebao
  • 时间:0
  • 页码:605-615
  • 语言:英文
  • 分类:TU391[建筑科学—结构工程] U448.22[建筑科学—桥梁与隧道工程;交通运输工程—道路与铁道工程]
  • 作者机构:[1]College of Civil Engineering, Tongji University, 709 Civil Building, 1239 Siping Road, Shanghai 200092, China, [2]School of Civil Engineering, Beijing Jiaotong University,Beijing 100044, China
  • 相关基金:The project was supported by the National Natural Science Foundation of China (50725826), Specific Research on Cable-reinforced Membranes with Super Span and Complex Single-shell Structures of Expo Axis (08dz0580303) and Shanghai Postdoctoral Fund (10R21416200).
  • 相关项目:钢结构与空间结构
中文摘要:

把薄墙的成员理论基于 Timoshenko 鈥檚 横梁理论和 Vlasov 鈥檚 ,空间薄墙的横梁元素的一个新模型为分析几何、物理的非线性被开发,它合并一个内部节点和把角度和经纱弄弯的独立插值并且考虑多样化的因素,例如穿越砍变丑,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。几何非线性的种类在更新的 Lagarange (UL ) 被提出,相应僵硬矩阵被导出。非常塑料的模型被用来说明因为物理非线性,和收益 von 协定和 Prandtle 鈥揜e 的增长关系裁定 uss 被采用。Elastoplastic 僵硬矩阵被数字集成基于有限片断方法获得,并且一个有限元素程序被编译。数字例子表明建议模型在薄墙的结构的分析精确、可行。关键词空间横梁-薄墙的节-横梁元素-几何、物理的非线性-女性工程被中国( 50725826 )的国家自然科学地基支持,关于有超级跨度和博览会轴( 08dz0580303 )和上海的复杂单个壳的结构的增强电缆线的膜的特定的研究博士后的资金( 10R21416200 )。

英文摘要:

Based on Timoshenko's beam theory and Vlasov's thin-walled member theory, a new model of spatial thin-walled beam element is developed for analyzing geometrical and physical nonlinearity, which incorporates an interior node and independent interpolations of bending angles and warp and takes diversified factors into consideration, such as traverse shear deformation, torsional shear deformation and their coupling, coupling of flexure and torsion, and the second shear stress. The geometrical nonlinear strain is formulated in updated Lagarange (UL) and the corresponding stiffness matrix is derived. The perfectly plastic model is used to account for physical nonlinearity, and the yield rule of von Mises and incremental relationship of Prandtle-Reuss are adopted. Elastoplastic stiffness matrix is obtained by numerical integration based on the finite segment method, and a finite element program is compiled. Numerical examples manifest that the proposed model is accurate and feasible in the analysis of thin-walled structures.

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期刊信息
  • 《力学学报:英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国力学学会 中国科学院力学研究所
  • 主编:卢天健
  • 地址:北京市海淀区北四环西路15号
  • 邮编:100190
  • 邮箱:actams@cstam.org.cn
  • 电话:010-62536271
  • 国际标准刊号:ISSN:0567-7718
  • 国内统一刊号:ISSN:11-2063/O3
  • 邮发代号:2-703
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:352