【摘要】 从双线性矩形单元出发,通过广义协调条件和连续介质力学中关于旋转度概念,同时引入含两个内部参数的泡状位移场,推导出含转角自由度的平面矩形单元的形函数及单元刚度矩阵,并进行算例分析.结果表明,把带转角自由度的矩形平面单元用于框架-剪力墙结构分析,在不增加单元自由度的情况下大大改善了单元的性能,单元列式简单,保证收敛,可以自然地解决框架-剪力墙结构的连接问题,还能获得很高的精度,而且能为平板壳结构分析提供有效的膜元.更多还原

【Abstract】 The element shape functions containing a plane rectangular element(GR12M) with rotational freedoms and stiffness matrix are developed based on the bilinear conforming displacement fields and the bubble displacement fields with internal parameters,according to the generalized conforming conditions and the rotation degree concepts of continuum mechanics.In the analysis of frame-shear wall,the plane rectangular element(GR12M) with rotational freedoms can greatly improve the performance of elements without increase of freedom degree of elements,with simplicity and convergence.The connection problem of analysis is solved at ease.A high precision membrane element can be offered to flat shell analysis.更多还原