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基于一致对称化平衡共旋列式理论,将具有转角自由度的优化膜单元与离散Kirchhoff板弯单元组合构成的3结点18自由度三角形线性平壳单元推广到薄壳大转动、小应变几何非线性分析,推导了一致切线刚度矩阵与内力矢量,建立了薄壳大转动、小应变几何非线性共旋有限元方程,采用Newton-Raphson算法结合自动载荷控制技术求解方程.通过环形薄板、顶部开孔的半球形壳和圆柱壳3个典型算例验证了本文方法的准确性.
Based on the uniform symmetry-balanced covariance theory, a 3-node, 18-degree-of-freedom triangular linear flat-shell element composed of an optimized membrane element with corner degrees of freedom and a discrete Kirchhoff plate-bend element is extended to a large- Nonlinear analysis, deduced the uniform tangent stiffness matrix and internal force vector, established a thin shell rotation, small strain geometric nonlinear co-rotating finite element equations, the Newton-Raphson algorithm combined with automatic load control technology to solve the equation through the ring thin, top Three typical examples of perforated hemispherical and cylindrical shells verify the accuracy of the proposed method.