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本文应用预应力柔性索的非线性有限元模型,用折算弹性模量考虑索初始垂度的影响,引入主一从控制原理来克服柔性元素和刚性元素共同作用时易产生的方程病态,在结构变位后的基础上建立平衡方程,采用带有动坐标的刚度矩阵迭代法,分析了斜拉桥、悬索桥等柔性组合结构的大挠度问题。应用本文方法,已经成功地分析了多座斜拉桥实际结构。对于一般柔性组合结构,经过二至六次迭代即可达到相当的精度。
In this paper, the nonlinear finite element model of prestressed flexible cables is used. Considering the influence of the initial sag of the cable using the reduced elastic modulus, the principle of master-slave control is introduced to overcome the morbidity of equations that are easily generated when flexible elements and rigid elements work together. The balance equation is established on the basis of the displacement, and the stiffness matrix iteration method with dynamic coordinates is used to analyze the large deflection of cable-stayed bridges, suspension bridges and other flexible composite structures. Using this method, the actual structure of multiple cable-stayed bridges has been successfully analyzed. For general flexible composite structures, considerable accuracy can be achieved after two to six iterations.