Nonlinear Numerical Simulation Method for Galloping of Iced Conductor

LIU Xiao-hui; YAN Bo; ZHANG Hong-yan; ZHOU Song

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(4): 457-468

LIU Xiao-hui, YAN Bo, ZHANG Hong-yan, ZHOU Song. Nonlinear Numerical Simulation Method for Galloping of Iced Conductor[J]. Applied Mathematics and Mechanics, 2009, 30(4): 457-468.

Citation:

LIU Xiao-hui, YAN Bo, ZHANG Hong-yan, ZHOU Song. Nonlinear Numerical Simulation Method for Galloping of Iced Conductor[J]. Applied Mathematics and Mechanics, 2009, 30(4): 457-468.

Citation:

LIU Xiao-hui, YAN Bo, ZHANG Hong-yan, ZHOU Song. Nonlinear Numerical Simulation Method for Galloping of Iced Conductor[J]. Applied Mathematics and Mechanics, 2009, 30(4): 457-468.

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Nonlinear Numerical Simulation Method for Galloping of Iced Conductor

1.
Department of Engineering Mechanics, Chongqing University, Chongqing 400030, P. R. China;

Received Date: 2008-09-13
Rev Recd Date: 2009-02-17
Publish Date: 2009-04-15

Abstract

Abstract

Based on the principle of virtual work,an updated Lagrangian finite element formulation for the geometrical large deformation analysis of galloping of the iced conductor in an overhead transmission line was developed.In the procedure of numerical simulation,a three-node isoparametric cable element with three translational and one torsional degrees-o-f freedom at each node was employed to discretize the transmission line;and the nonlinear dynamic system equation was solved by the Newmark time integration method and the Newton-Raphson nonlinear iteration strategy.Numerical examples were employed to demonstrate the efficiency of the presented method and the developed finite element program.Furthermore,a new possible galloping mode,which may reflect the saturation phenomenon of nonlinear dynamic system,was discovered on the condition that the lowest order of vertical natural frequency of the transmission line is approximately two times of the horizontal one.
- iced conductor,
- galloping,
- geometric nonlinearity,
- numerical simulation

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References(11)

References

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