| 含面内刚性转角自由度的四边形广义协调膜元 |
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| 引用本文： | 陈朝晖,郭益,蒋锐,管前乾.含面内刚性转角自由度的四边形广义协调膜元[J].重庆大学学报(自然科学版),2009,32(1):31-36. |
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| 作者姓名： | 陈朝晖 郭益 蒋锐 管前乾 |
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| 作者单位： | 陈朝晖,郭益,蒋锐,CHEN Zhao-hui,GUO Yi,JIANG Rui(重庆大学,土木工程学院,重庆,400030);管前乾,GUAN Qian-qian(成都基准方中建筑设计事务所,四川,成都,610017)
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| 基金项目： | 国家科技部技术创新基金，教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 在常规4结点膜单元内增加独立的平面内刚体转角自由度,采用四边形等参元形式,基于广义协调理论建立了含转角自由度的四边形广义协调膜元,避免了常规平面膜元由于忽略平面内转动而引发转动零刚度、导致刚度阵奇异的缺陷.广义协调元法具有非协调元不要求精确协调的优点,且随着单元细分可趋近于协调元,保证了广义协调元的收敛性.应用于经典的Cook问题、悬臂粱问题和MacNeal粱问题,该单元计算精度高、收敛性好、无零能模式.网格畸变分析表明,该单元弱梯形闭锁、单元抗畸变性较好,与矩形单元相比,具有单元划分的灵活性和适应性.
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| 关 键 词： | 有限元法 广义协调理论 转角自由度 膜元 网格畸变 零能模式 |
Generalized conforming quadrilateral membrane element with vertex rotational freedom |
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| CHEN Zhao-hui,GUO Yi,JIANG Rui,GUAN Qian-qian.Generalized conforming quadrilateral membrane element with vertex rotational freedom[J].Journal of Chongqing University(Natural Science Edition),2009,32(1):31-36. |
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| Authors: | CHEN Zhao-hui GUO Yi JIANG Rui GUAN Qian-qian |
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| Institution: | 1.School of Civil Engineering;Chongqing University;Chongqing 400030;P.R.China;2.Jizhun Fangzhong Architecture Design Associates;Chengdu 610017;P.R.China |
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| Abstract: | A new generalized conforming quadrilateral membrane element is developed by introducing additional rigid vertex rotational freedoms to the normal 4-node quadrilateral membrane element.The rotational stiffness of the present element is not zero so that the singularity of the stiffness matrix is avoided.Numerical analysis of the Cook problem cantilever beam shows that the EAE/Mem element passes the patch test and possesses good convergence,reliability,and precision without a zero energy mode.It provides a loc... |
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| Keywords: | finite element method generalized conforming theory rotational freedom membrane element mesh distortion zero energy mode |
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