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一种边界上满足C1连续条件的4结点圆柱壳单元
引用本文:徐艳秋,刘静文.一种边界上满足C1连续条件的4结点圆柱壳单元[J].北京交通大学学报(自然科学版),2005,29(1):53-55.
作者姓名:徐艳秋  刘静文
作者单位:北京交通大学,土木建筑工程学院,北京,100044;北京城建设计研究院,北京,100037
摘    要:基于Kirchhoff假设的薄壳理论,不考虑横向剪切变形的影响,采用单位宽纵横向有限条带,构造了一种仅含有3个位移场函数,且在弯曲位移模式上满足C1连续条件的4结点圆柱壳单元.该单元自由度少,符合收敛条件,且能够正确地满足圆弧形边界条件,考虑了薄膜效应和弯曲作用之间的耦合关系.经验证不仅计算速度快,计算精度也较高.

关 键 词:固体力学  有限元  圆柱壳  位移模式
文章编号:1673-0291(2005)01-0053-03
修稿时间:2004年10月20日

A 4-Node Curved Cylindrical Shell Discrete Element Satisfied C1 Continuity at Boundary
XU Yan-qiu,LIU Jing-wen.A 4-Node Curved Cylindrical Shell Discrete Element Satisfied C1 Continuity at Boundary[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,2005,29(1):53-55.
Authors:XU Yan-qiu  LIU Jing-wen
Abstract:Based on Kirchhoff's hypotheses for thin shell, a 4_node curved cylindrical shell discrete element including three displacement functions and satisfied C_1 continuity is constructed. The transverse shear deformation influence is ignored and the unit width finite strip in length and breadth is adopted for the element. The element is characterized by less degrees of freedom and high accuracy. The convergence condition and the curved boundary conditions are satisfied. Moreover, the coupling relations between membrane and bending are considered.
Keywords:solid mechanics  finite element  curved cylindrical shell  displacement mode
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