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采用多节点索单元研究了斜拉人行桥拉索承载力问题。首先基于多节点索单元建立了坐标系及非线性应变表达式,形成了索单元的应力应变关系。进一步建立了索单元的弹性刚度矩阵、初位移刚度矩阵和初应力刚度矩阵的表达式,建立了斜拉索承载力的非线性迭代方法,利用Newton-Raphson迭代实现计算求解。以某大跨度斜拉人行桥为工程背景,系统研究了其斜拉索的承载力问题。结果表明,弹性模量和自重荷载强度对斜拉索的承载力性能均有一定程度的影响。弹性模量的增加将导致拉索的刚度增加和跨中的竖向位移减小,而自重荷载的增加则导致跨中位移的增加。对比分析结果可知,对拉索承载力影响较大的参数是自重荷载的强度,相对而言弹性模量的影响较小。
The multi-node cable element is used to study the cable bearing capacity of a cable-stayed footbridge. Firstly, coordinate system and nonlinear strain expression are established based on multi-node cable element, which forms the stress-strain relationship of cable element. The expressions of elastic stiffness matrix, initial displacement stiffness matrix and initial stress stiffness matrix of cable element are further established. A nonlinear iterative method of bearing capacity of stayed cable is established. The Newton-Raphson iteration is used to solve the calculation. Taking a large-span cable-stayed footbridge as the engineering background, the bearing capacity of the stay cable was systematically studied. The results show that the elastic modulus and self-weight load strength have a certain degree of impact on the bearing capacity of the stay cable. An increase in the modulus of elasticity will result in an increase in the stiffness of the cable and a decrease of the vertical displacement in the mid-span, while an increase in self-weight load results in an increase in midspan displacement. The results of the comparative analysis show that the parameters that greatly affect the bearing capacity of the cable are the strength of the self-supporting load, but the impact of the elastic modulus is relatively small.