Dynamics of Structures with Distributed Gyroscopes: Modal Discretization Versus Spatial Discretization
In this study, two discretization numerical methods, modal discretization and spatial discretization methods, were proposed and compared when applied to the gyroscopic structures. If the distributed gyroscopes are attached, the general numerical methods should be modified to derive the natural frequ...
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| Format: | Article |
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MDPI AG
2019-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/1/160 |
| _version_ | 1818015716505288704 |
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| author | Xiao-Dong Yang Bao-Yin Xie Wei Zhang Quan Hu |
| author_facet | Xiao-Dong Yang Bao-Yin Xie Wei Zhang Quan Hu |
| author_sort | Xiao-Dong Yang |
| collection | DOAJ |
| description | In this study, two discretization numerical methods, modal discretization and spatial discretization methods, were proposed and compared when applied to the gyroscopic structures. If the distributed gyroscopes are attached, the general numerical methods should be modified to derive the natural frequencies and complex modes due to the gyroscopic effect. The modal discretization method can be used for cases where the modal functions of the base structure can be expressed in explicit forms, while the spatial discretization method can be used in irregular structures without modal functions, but cost more computational time. The convergence and efficiency of both modal and spatial discretization techniques are illustrated by an example of a beam with uniformly distributed gyroscopes. The investigation of this paper may provide useful techniques to study structures with distributed inertial components. |
| first_indexed | 2024-04-14T07:01:40Z |
| format | Article |
| id | doaj.art-b456c5337eb84b42a11ef2ba46d3a699 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-04-14T07:01:40Z |
| publishDate | 2019-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-b456c5337eb84b42a11ef2ba46d3a6992022-12-22T02:06:44ZengMDPI AGApplied Sciences2076-34172019-12-0110116010.3390/app10010160app10010160Dynamics of Structures with Distributed Gyroscopes: Modal Discretization Versus Spatial DiscretizationXiao-Dong Yang0Bao-Yin Xie1Wei Zhang2Quan Hu3Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaSchool of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, ChinaIn this study, two discretization numerical methods, modal discretization and spatial discretization methods, were proposed and compared when applied to the gyroscopic structures. If the distributed gyroscopes are attached, the general numerical methods should be modified to derive the natural frequencies and complex modes due to the gyroscopic effect. The modal discretization method can be used for cases where the modal functions of the base structure can be expressed in explicit forms, while the spatial discretization method can be used in irregular structures without modal functions, but cost more computational time. The convergence and efficiency of both modal and spatial discretization techniques are illustrated by an example of a beam with uniformly distributed gyroscopes. The investigation of this paper may provide useful techniques to study structures with distributed inertial components.https://www.mdpi.com/2076-3417/10/1/160gyroscopic structuremodal discretizationspatial discretizationcomplex modesnumerical methods |
| spellingShingle | Xiao-Dong Yang Bao-Yin Xie Wei Zhang Quan Hu Dynamics of Structures with Distributed Gyroscopes: Modal Discretization Versus Spatial Discretization Applied Sciences gyroscopic structure modal discretization spatial discretization complex modes numerical methods |
| title | Dynamics of Structures with Distributed Gyroscopes: Modal Discretization Versus Spatial Discretization |
| title_full | Dynamics of Structures with Distributed Gyroscopes: Modal Discretization Versus Spatial Discretization |
| title_fullStr | Dynamics of Structures with Distributed Gyroscopes: Modal Discretization Versus Spatial Discretization |
| title_full_unstemmed | Dynamics of Structures with Distributed Gyroscopes: Modal Discretization Versus Spatial Discretization |
| title_short | Dynamics of Structures with Distributed Gyroscopes: Modal Discretization Versus Spatial Discretization |
| title_sort | dynamics of structures with distributed gyroscopes modal discretization versus spatial discretization |
| topic | gyroscopic structure modal discretization spatial discretization complex modes numerical methods |
| url | https://www.mdpi.com/2076-3417/10/1/160 |
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