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索结构传统的几何非线性的求解方法依赖于非常复杂而庞大的切线刚度矩阵,针对这种情况,根据几何非线性计算的基本原理,建立一种在理论上能收敛于精确解的几何非线性求解方法——内力全量迭代法,使计算结果的精度不依赖于切线刚度矩阵;根据计算方法的特点,探讨了在几何非线性计算中索单元的内力计算公式和迭代计算方法;为了保证迭代计算快速收敛于真实解,给出了迭代计算方法中索单元的切线刚度矩阵;编制了基于内力全量迭代法的有限元计算程序SUSP_CABLE。部分算例和工程实例验证了该方法的精确性与可靠性,可供广大工程技术人员参考。
According to the basic principle of geometrical non-linear calculation, a geometrical nonlinearity theoretically converging to exact solution is established in this paper. The traditional geometrical nonlinear solution method of cable structure relies on a very complex and large tangent stiffness matrix. The solution method - internal force full iteration method, so that the accuracy of the calculation results does not depend on the tangent stiffness matrix. According to the characteristics of the calculation method, the internal force formula and iterative calculation method of cable element in geometric nonlinear calculation are discussed. In order to ensure iterative calculation Converges quickly to the true solution, and gives the tangent stiffness matrix of cable elements in the iterative calculation method. The finite element calculation program SUSP_CABLE is developed based on the total internal iteration method. Some examples and engineering examples verify the accuracy and reliability of the method, which can be used by the general engineering and technical personnel.