Nonlinear numerical simulation method for galloping of iced conductor |
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Authors: | Xiao-hui Liu Bo Yan Hong-yan Zhang Song Zhou |
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Institution: | Department of Engineering Mechanics, Chongqing University, Chongqing 400030, P. R. China;Sichuan Electric Power Test and Research Institute, Chengdu 610071, P. R. China;Sichuan Electric Power Industry Commission and Test Institute, Chengdu 610016, P. R. China |
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Abstract: | Based on the principle of virtual work, an updated Lagrangian finite ele-ment formulation for the geometrical large deformation analysis of galloping of the iced conductor in an overhead transmission line is developed. In numerical simulation, a three-node isoparametric cable element with three translational and one torsional degrees-of-freedom at each node is used to discretize the transmission line. The nonlinear dynamic system equation is solved with the Newmark time integration method and the Newton-Raphson nonlinear iteration. Numerical examples demonstrate the efficiency of the pre-sented method and the developed finite element program. A new possible galloping mode, which may reflect the saturation phenomenon of a nonlinear dynamic system, is discovered under the condition that the lowest order of vertical natural frequency of the transmission line is approximately two times of the horizontal one. |
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Keywords: | iced conductor galloping geometric nonlinearity numerical method |
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