Robustness of Supercavitating Vehicles Based on Multistability Analysis
Supercavity can increase speed of underwater vehicles greatly. However, external interferences always lead to instability of vehicles. This paper focuses on robustness of supercavitating vehicles. Based on a 4-dimensional dynamic model, the existence of multistability is verified in supercavitating...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/6894041 |
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| _version_ | 1832555516984819712 |
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| author | Yipin Lv Tianhong Xiong Wenjun Yi Jun Guan |
| author_facet | Yipin Lv Tianhong Xiong Wenjun Yi Jun Guan |
| author_sort | Yipin Lv |
| collection | DOAJ |
| description | Supercavity can increase speed of underwater vehicles greatly. However, external interferences always lead to instability of vehicles. This paper focuses on robustness of supercavitating vehicles. Based on a 4-dimensional dynamic model, the existence of multistability is verified in supercavitating system through simulation, and the robustness of vehicles varying with parameters is analyzed by basins of attraction. Results of the research disclose that the supercavitating system has three stable states in some regions of parameters space, namely, stable, periodic, and chaotic states, while in other regions it has various multistability, such as coexistence of two types of stable equilibrium points, coexistence of a limit cycle with a chaotic attractor, and coexistence of 1-periodic cycle with 2-periodic cycle. Provided that cavitation number varies within a small range, with increase of the feedback control gain of fin deflection angle, size of basin of attraction becomes smaller and robustness of the system becomes weaker. In practical application, robustness of supercavitating vehicles can be improved by setting parameters of system or adjusting initial launching conditions. |
| format | Article |
| id | doaj-art-246986de622e4c8b87ee29ee4cb09ad1 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-246986de622e4c8b87ee29ee4cb09ad12025-02-03T05:47:55ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/68940416894041Robustness of Supercavitating Vehicles Based on Multistability AnalysisYipin Lv0Tianhong Xiong1Wenjun Yi2Jun Guan3National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, ChinaNational Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, ChinaNational Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, ChinaNational Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, ChinaSupercavity can increase speed of underwater vehicles greatly. However, external interferences always lead to instability of vehicles. This paper focuses on robustness of supercavitating vehicles. Based on a 4-dimensional dynamic model, the existence of multistability is verified in supercavitating system through simulation, and the robustness of vehicles varying with parameters is analyzed by basins of attraction. Results of the research disclose that the supercavitating system has three stable states in some regions of parameters space, namely, stable, periodic, and chaotic states, while in other regions it has various multistability, such as coexistence of two types of stable equilibrium points, coexistence of a limit cycle with a chaotic attractor, and coexistence of 1-periodic cycle with 2-periodic cycle. Provided that cavitation number varies within a small range, with increase of the feedback control gain of fin deflection angle, size of basin of attraction becomes smaller and robustness of the system becomes weaker. In practical application, robustness of supercavitating vehicles can be improved by setting parameters of system or adjusting initial launching conditions.http://dx.doi.org/10.1155/2017/6894041 |
| spellingShingle | Yipin Lv Tianhong Xiong Wenjun Yi Jun Guan Robustness of Supercavitating Vehicles Based on Multistability Analysis Advances in Mathematical Physics |
| title | Robustness of Supercavitating Vehicles Based on Multistability Analysis |
| title_full | Robustness of Supercavitating Vehicles Based on Multistability Analysis |
| title_fullStr | Robustness of Supercavitating Vehicles Based on Multistability Analysis |
| title_full_unstemmed | Robustness of Supercavitating Vehicles Based on Multistability Analysis |
| title_short | Robustness of Supercavitating Vehicles Based on Multistability Analysis |
| title_sort | robustness of supercavitating vehicles based on multistability analysis |
| url | http://dx.doi.org/10.1155/2017/6894041 |
| work_keys_str_mv | AT yipinlv robustnessofsupercavitatingvehiclesbasedonmultistabilityanalysis AT tianhongxiong robustnessofsupercavitatingvehiclesbasedonmultistabilityanalysis AT wenjunyi robustnessofsupercavitatingvehiclesbasedonmultistabilityanalysis AT junguan robustnessofsupercavitatingvehiclesbasedonmultistabilityanalysis |