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索单元结构计算的内力全量迭代法

, PP. 90-94

Keywords: 桥梁工程,索单元,结构内力,全量迭代法,几何非线性,切线刚度矩阵

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Abstract:

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。

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