Nonlinear vibration of iced cable under wind excitation using three-degree-of-freedom model
Wei Zhang(张伟)1,2,†,‡, Ming-Yuan Li(李明远)1,2,†, Qi-Liang Wu(吴启亮)3,§, and An Xi(袭安)4
1 Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Beijing University of Technology, Beijing 100124, China; 2 College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China; 3 School of Artificial Intelligence, Tiangong University, Tianjin 300387, China; 4 The Fifth Electronic Research Institute of MIIT, Guangzhou 510610, China
Abstract High-voltage transmission line possesses a typical suspended cable structure that produces ice in harsh weather. Moreover, transversely galloping will be excited due to the irregular structure resulting from the alternation of lift force and drag force. In this paper, the nonlinear dynamics and internal resonance of an iced cable under wind excitation are investigated. Considering the excitation caused by pulsed wind and the movement of the support, the nonlinear governing equations of motion of the iced cable are established using a three-degree-of-freedom model based on Hamilton's principle. By the Galerkin method, the partial differential equations are then discretized into ordinary differential equations. The method of multiple scales is then used to obtain the averaged equations of the iced cable, and the principal parametric resonance-1/2 subharmonic resonance and the 2:1 internal resonance are considered. The numerical simulations are performed to investigate the dynamic response of the iced cable. It is found that there exist periodic, multi-periodic, and chaotic motions of the iced cable subjected to wind excitation.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11290152, 11427801, and 11902220) and the Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality, China (PHRIHLB).
Wei Zhang(张伟), Ming-Yuan Li(李明远), Qi-Liang Wu(吴启亮), and An Xi(袭安) Nonlinear vibration of iced cable under wind excitation using three-degree-of-freedom model 2021 Chin. Phys. B 30 090503
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