The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary System
In high-speed electric trains, a pantograph is mounted on the roof of the train to collect power through contact with an overhead catenary wire. The effect of fast harmonic and parametric excitation on a stochastically driven pantograph-catenary system is studied in this paper. A single-degree-of-fr...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/792673 |
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| author | R. H. Huan W. Q. Zhu F. Ma Z. H. Liu |
| author_facet | R. H. Huan W. Q. Zhu F. Ma Z. H. Liu |
| author_sort | R. H. Huan |
| collection | DOAJ |
| description | In high-speed electric trains, a pantograph is mounted on the roof of the train to collect power through contact with an overhead catenary wire. The effect of fast harmonic and parametric excitation on a stochastically driven pantograph-catenary system is studied in this paper. A single-degree-of-freedom model of the pantograph-catenary system is adopted, wherein the stiffness of the nonlinear spring has a time-varying component characterized by both low and high frequencies. Using perturbation and harmonic averaging, a Fokker-Planck-Kolmogorov equation governing the stationary response of the pantograph-catenary system is set up. Based on the transition probability density of the stationary response, it is found that even small high-frequency parametric excitation has an appreciable effect on the system response. Among other things, it shifts the resonant frequency and often changes the response characteristics markedly. |
| format | Article |
| id | doaj-art-95f4758d35a943e9b06b2c8faf04adaa |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-95f4758d35a943e9b06b2c8faf04adaa2025-02-03T06:47:53ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/792673792673The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary SystemR. H. Huan0W. Q. Zhu1F. Ma2Z. H. Liu3Department of Mechanics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Mechanics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Mechanical Engineering, University of California, Berkeley, CA 94720, USADepartment of Civil Engineering, Xiamen University, Xiamen 361005, ChinaIn high-speed electric trains, a pantograph is mounted on the roof of the train to collect power through contact with an overhead catenary wire. The effect of fast harmonic and parametric excitation on a stochastically driven pantograph-catenary system is studied in this paper. A single-degree-of-freedom model of the pantograph-catenary system is adopted, wherein the stiffness of the nonlinear spring has a time-varying component characterized by both low and high frequencies. Using perturbation and harmonic averaging, a Fokker-Planck-Kolmogorov equation governing the stationary response of the pantograph-catenary system is set up. Based on the transition probability density of the stationary response, it is found that even small high-frequency parametric excitation has an appreciable effect on the system response. Among other things, it shifts the resonant frequency and often changes the response characteristics markedly.http://dx.doi.org/10.1155/2014/792673 |
| spellingShingle | R. H. Huan W. Q. Zhu F. Ma Z. H. Liu The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary System Shock and Vibration |
| title | The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary System |
| title_full | The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary System |
| title_fullStr | The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary System |
| title_full_unstemmed | The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary System |
| title_short | The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary System |
| title_sort | effect of high frequency parametric excitation on a stochastically driven pantograph catenary system |
| url | http://dx.doi.org/10.1155/2014/792673 |
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