Nonlinear vibration of iced cable under wind excitation using three-degree-of-freedom model

doi:10.1088/1674-1056/abea83

中国物理B ›› 2021, Vol. 30 ›› Issue (9): 90503-090503.doi: 10.1088/1674-1056/abea83

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

收稿日期:2020-11-23 修回日期:2021-01-25 接受日期:2021-03-01 出版日期:2021-08-19 发布日期:2021-08-24
通讯作者: Wei Zhang, Qi-Liang Wu E-mail:sandyzhang0@yahoo.com;qiliang_wu@hotmail.com
基金资助:
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).

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

Received:2020-11-23 Revised:2021-01-25 Accepted:2021-03-01 Online:2021-08-19 Published:2021-08-24
Contact: Wei Zhang, Qi-Liang Wu E-mail:sandyzhang0@yahoo.com;qiliang_wu@hotmail.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: iced cable, wind excitation, galloping, chaotic motion

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.

Key words: iced cable, wind excitation, galloping, chaotic motion

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

82.40.Bj (Oscillations, chaos, and bifurcations)

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[J]. 中国物理B, 2021, 30(9): 90503-090503.

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[J]. Chin. Phys. B, 2021, 30(9): 90503-090503.

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Nonlinear vibration of iced cable under wind excitation using three-degree-of-freedom model

Nonlinear vibration of iced cable under wind excitation using three-degree-of-freedom model

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