分裂导线舞动非线性有限元分析方法

采用具有三个平动自由度和一个扭转自由度的三节点等参单元离散覆冰导线,用欧拉梁单元离散间隔棒,考虑覆冰导线所受空气动力的非线性和导线大幅运动的几何非线性,利用虚功原理建立覆冰分裂导线非线性有限元方程。用Newmark时间积分和Newton-Raphson非线性迭代法求解有限元方程。编制了相应的计算程序,通过算例验证了方法和程序的正确性。进一步利用由风洞实验获得的覆冰四分裂导线的空气动力系数,模拟研究具有不同档距的覆冰四分裂线路的舞动,为舞动防止技术的研究提供参考。所给出的方法适用于任意多分裂导线的舞动研究。

Nonlinear finite element analysis for galloping of iced bundled conductors

A nonlinear finite element equation of iced bundled conductor, in which the geometric nonlinearity of galloping of the iced conductor and the nonlinearity of wind load, is developed by means of the virtual work principle. A three–node isoparametric cable element with three translational and one torsional degrees-of-freedom is employed to discretize the bundled conductor and the two-node Euler-Bernoulli beam elements are used to simulate the spacers. The Newmark time integration and Newton-Raphson nonlinear iteration strategy are used to solve the nonlinear finite element equation. A numerical example is used to demonstrate the efficiency of the presented method and the developed finite element program. The aerodynamic coefficients of iced quad-bundled conductor determined by wind tunnel test are presented. Furthermore, the galloping of the quad-bundled conductors with different span lengths is numerically investigated. The obtained results provide some references for the development of anti-galloping technology. The method presented in this paper is suitable for the study of galloping of any bundled conductor.