借助Fortran程序语言,对膜单元采用三节点九自由度的空间三角形单元,考虑初始预应力形成切线刚度矩阵,对膜结构进行几何非线性分析.依据张力场理论,针对膜材不抗压的特点,改进褶皱区域单元的本构关系矩阵,修改单元刚度矩阵,给出单元出现褶皱情况.验算平面矩形膜弯曲模型,说明了程序的可靠性.
The program is completed by FORTRAN, the geometrically nonlinear analysis of membrane structures is performed by using the spacial triangle membrane element with three node and nine freedom,and the pre-stress is considered with tangent stiffness matrix. The membrane can not resist compression stress, the constitutive matrix is modified considering tension theory to modify the stiffness matrix, and the wrinkling zone is obtained. The solution of the prestressed membrane in pure bending is well compared with the theory solution. Examples indicate the reliability of the program.
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