Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation Conditions
In order to study the influence of dynamic wind on the nonlinear galloping characteristics of iced transmission lines, an external excitation load is added to the governing equation of iced transmission lines under the condition of stable wind, and a new forced self-excited system has been establish...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/6686028 |
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| author | Xiaohui Liu Shuguang Yang Chuan Wu Ming Zou Guangyun Min Ceshi Sun Mengqi Cai |
| author_facet | Xiaohui Liu Shuguang Yang Chuan Wu Ming Zou Guangyun Min Ceshi Sun Mengqi Cai |
| author_sort | Xiaohui Liu |
| collection | DOAJ |
| description | In order to study the influence of dynamic wind on the nonlinear galloping characteristics of iced transmission lines, an external excitation load is added to the governing equation of iced transmission lines under the condition of stable wind, and a new forced self-excited system has been established. The frequency-amplitude relationship of the forced self-excited system under weak excitation and strong excitation is obtained by using the multiple-scale method. The principal resonances and superharmonic and subharmonic resonances of the forced self-excited system have also been analyzed. The results show that, in the forced self-excited system under strong excitation, when the excitation frequency is close to the integral and fractional times of the natural frequency, it is easier to produce 1/2-order subharmonic resonance, 2-order superharmonic resonance, and 3-order superharmonic resonance. In addition, numerical techniques provide bifurcation diagrams of different control parameters, which are able to highlight the effects of the simultaneous presence of the sources of excitation. When the control parameters (wind velocity, excitation amplitude, tuning parameter, tension, and Young’s modulus) change, the response amplitudes of the principal resonance and harmonic resonance will have multivalues, jump phenomenon, and hardening behavior. The control parameters can be used as a reference for engineering design. More importantly, as a combination of the Duffing equation and the Rayleigh equation, the forced self-excited system also has high theoretical research value. |
| format | Article |
| id | doaj-art-5546ba4b89764c08b981a84d78f45b77 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5546ba4b89764c08b981a84d78f45b772025-02-03T01:21:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/66860286686028Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation ConditionsXiaohui Liu0Shuguang Yang1Chuan Wu2Ming Zou3Guangyun Min4Ceshi Sun5Mengqi Cai6State Key Laboratory of Mountain Bridge and Tunnel Engineering, Chongqing Jiaotong University, Chongqing 400074, ChinaSchool of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, ChinaState Grid Henan Electric Power Research Institute, Zhengzhou 450052, ChinaSchool of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, ChinaSchool of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, ChinaState Key Laboratory of Mountain Bridge and Tunnel Engineering, Chongqing Jiaotong University, Chongqing 400074, ChinaSchool of Architecture and Civil Engineering, Chengdu University, Chengdu 610106, ChinaIn order to study the influence of dynamic wind on the nonlinear galloping characteristics of iced transmission lines, an external excitation load is added to the governing equation of iced transmission lines under the condition of stable wind, and a new forced self-excited system has been established. The frequency-amplitude relationship of the forced self-excited system under weak excitation and strong excitation is obtained by using the multiple-scale method. The principal resonances and superharmonic and subharmonic resonances of the forced self-excited system have also been analyzed. The results show that, in the forced self-excited system under strong excitation, when the excitation frequency is close to the integral and fractional times of the natural frequency, it is easier to produce 1/2-order subharmonic resonance, 2-order superharmonic resonance, and 3-order superharmonic resonance. In addition, numerical techniques provide bifurcation diagrams of different control parameters, which are able to highlight the effects of the simultaneous presence of the sources of excitation. When the control parameters (wind velocity, excitation amplitude, tuning parameter, tension, and Young’s modulus) change, the response amplitudes of the principal resonance and harmonic resonance will have multivalues, jump phenomenon, and hardening behavior. The control parameters can be used as a reference for engineering design. More importantly, as a combination of the Duffing equation and the Rayleigh equation, the forced self-excited system also has high theoretical research value.http://dx.doi.org/10.1155/2021/6686028 |
| spellingShingle | Xiaohui Liu Shuguang Yang Chuan Wu Ming Zou Guangyun Min Ceshi Sun Mengqi Cai Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation Conditions Discrete Dynamics in Nature and Society |
| title | Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation Conditions |
| title_full | Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation Conditions |
| title_fullStr | Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation Conditions |
| title_full_unstemmed | Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation Conditions |
| title_short | Planar Nonlinear Galloping of Iced Transmission Lines under Forced Self-Excitation Conditions |
| title_sort | planar nonlinear galloping of iced transmission lines under forced self excitation conditions |
| url | http://dx.doi.org/10.1155/2021/6686028 |
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