Numerical Vibration Displacement Solutions of Fractional Drawing Self-Excited Vibration Model Based on Fractional Legendre Functions
In practice, due to the fact that the phenomenon of drawing self-excited vibration can be deemed as one of the hunting phenomena of the mechanical system, this study focuses on investigating the drawing self-excited vibration process through proposing the fractional differential equation model of hu...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/9234586 |
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| _version_ | 1832564685523648512 |
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| author | Jiaquan Xie Yongjiang Zheng Zhongkai Ren Tao Wang Guangxian Shen |
| author_facet | Jiaquan Xie Yongjiang Zheng Zhongkai Ren Tao Wang Guangxian Shen |
| author_sort | Jiaquan Xie |
| collection | DOAJ |
| description | In practice, due to the fact that the phenomenon of drawing self-excited vibration can be deemed as one of the hunting phenomena of the mechanical system, this study focuses on investigating the drawing self-excited vibration process through proposing the fractional differential equation model of hunting phenomenon of the mechanical system. The fractional Legendre functions together with their fractional differential operational matrices are used to numerically solve the model. In this way, the numerical solutions of vibration displacement of the model are obtained. At the end, the proposed model and algorithm are proved to be effective via analyzing the numerical results and phase position. |
| format | Article |
| id | doaj-art-5ff78b239ea84f3b92d33f172ac0a9d2 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5ff78b239ea84f3b92d33f172ac0a9d22025-02-03T01:10:27ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/92345869234586Numerical Vibration Displacement Solutions of Fractional Drawing Self-Excited Vibration Model Based on Fractional Legendre FunctionsJiaquan Xie0Yongjiang Zheng1Zhongkai Ren2Tao Wang3Guangxian Shen4College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, ChinaSchool of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, Hebei, ChinaCollege of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, ChinaCollege of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, ChinaSchool of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, Hebei, ChinaIn practice, due to the fact that the phenomenon of drawing self-excited vibration can be deemed as one of the hunting phenomena of the mechanical system, this study focuses on investigating the drawing self-excited vibration process through proposing the fractional differential equation model of hunting phenomenon of the mechanical system. The fractional Legendre functions together with their fractional differential operational matrices are used to numerically solve the model. In this way, the numerical solutions of vibration displacement of the model are obtained. At the end, the proposed model and algorithm are proved to be effective via analyzing the numerical results and phase position.http://dx.doi.org/10.1155/2019/9234586 |
| spellingShingle | Jiaquan Xie Yongjiang Zheng Zhongkai Ren Tao Wang Guangxian Shen Numerical Vibration Displacement Solutions of Fractional Drawing Self-Excited Vibration Model Based on Fractional Legendre Functions Complexity |
| title | Numerical Vibration Displacement Solutions of Fractional Drawing Self-Excited Vibration Model Based on Fractional Legendre Functions |
| title_full | Numerical Vibration Displacement Solutions of Fractional Drawing Self-Excited Vibration Model Based on Fractional Legendre Functions |
| title_fullStr | Numerical Vibration Displacement Solutions of Fractional Drawing Self-Excited Vibration Model Based on Fractional Legendre Functions |
| title_full_unstemmed | Numerical Vibration Displacement Solutions of Fractional Drawing Self-Excited Vibration Model Based on Fractional Legendre Functions |
| title_short | Numerical Vibration Displacement Solutions of Fractional Drawing Self-Excited Vibration Model Based on Fractional Legendre Functions |
| title_sort | numerical vibration displacement solutions of fractional drawing self excited vibration model based on fractional legendre functions |
| url | http://dx.doi.org/10.1155/2019/9234586 |
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