# A Contrast on Conductor Galloping Amplitude Calculated by Three Mathematical Models with Different DOFs

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Shock and Vibration - Volume 2014 2014, Article ID 781304, 10 pages -

Research Article

China Electric Power Research Institute, Beijing 100029, China

School of Mechanical Engineering, TianJin 300072, China

TianJin Key Laboratory of Nonlinear Dynamics and Chaos Control, TianJin 300072, China

Received 27 February 2014; Revised 5 July 2014; Accepted 6 July 2014; Published 21 July 2014

Academic Editor: Vadim V. Silberschmidt

Copyright © 2014 Bin Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

It is pivotal to find an effective mathematical model revealing the galloping mechanism. And it is important to compare the difference between the existing mathematical models on the conductor galloping. In this paper, the continuum cable model for transmission lines was proposed using the Hamilton principle. Discrete models of one DOF, two DOFs, and three DOFs were derived from the continuum model by using the Garlekin method. And the three models were compared by analyzing the galloping vertical amplitude and torsional angle with different influence factors. The influence factors include wind velocity, flow density, span length, damping ratio, and initial tension. The three-DOF model is more accurate at calculating the galloping characteristics than the other two models, but the one-DOF and two-DOF models can also present the trend of galloping amplitude change from the point view of qualitative analysis. And the change of the galloping amplitude relative to the main factors was also obtained, which is very essential to the antigalloping design applied in the actual engineering.

Autor: Bin Liu, KuanJun Zhu, XiaoQin Sun, Bing Huo, and XiJun Liu

Fuente: https://www.hindawi.com/

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