新型带转角自由度的四结点膜单元

给传统膜单元引入一个垂直单元平面的旋转自由度，可以增加位移场阶次，提高计算精度和单元性能．文中为膜结构和高层结构中的剪力墙提供了两种性能良好的四节点膜单元．理论分析和数值模拟表明，这两种单元所采用的线位移和转角位移相互独立的位移场，能有效解决一维单元和二维单元的过渡连接问题，易于编程实现．数值计算结果表明，该单元位移场更符合实际位移场，并节省了计算时间．

Novel Four-Node Membrane Element with Rotational Degrees of Freedom

For a traditional membrane element, the introduction of a vertical rotational freedom of degree may exponentially increase the displacement and greatly improve the calculation precision and the element performance. In this paper, two excellent four-node membrane elements are proposed for the membrane structure and the shear wall of high-rise structure. The results of theoretical analysis and numerical simulation indicate that the two membrane elements both possess a displacement field in which linear displacement and rotational displacement are mutually independent, which results in an easy transition between one-dimension element and two-dimension element and makes the program realization rather simple. Numerical results show that the proposed displacement field not only accords with the practical situation better than others, but also reduces the calculation time.