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索桥是大变形柔性组合结构,其受力分析属于几何非线性问题,求解较复杂。本文应用有限元方法,结合索桥结构特征,提出三节点二次曲线元与直梁单元相结合的混合有限元模式。由Reissner广义变分原理导出有限元运动方程。用Newton-Raphson方法求解有限元平衡方程,用FORTRAN-77语言编制了相应的计算程序。并以跨距为200米的索道桥为实例进行几种载荷作用下的静力分析计算。计算结果与实测值对比显示出很好的一致性。表明混合有限元模式是有效的。
The cable bridge is a large deformation flexible composite structure, its force analysis is a geometric nonlinear problem, the solution is more complex. In this paper, using the finite element method, combined with the characteristics of the cable bridge structure, the hybrid finite element model combining the three-node conic element and the straight beam element is proposed. The finite element motion equation is derived from the Reissner generalized variational principle. The Newton-Raphson method was used to solve the finite element equilibrium equation. The corresponding calculation program was compiled using FORTRAN-77 language. Taking the ropeway bridge with a span of 200 meters as an example, the static analysis under several loads was performed. The comparison between the calculated results and the measured values shows a good agreement. It shows that the mixed finite element mode is effective.