Dynamic Analysis of Tapered Thin-Walled Beams Using Spectral Finite Element Method
Tapered thin-walled structures have been widely used in wind turbine and rotor blade. In this paper, a spectral finite element model is developed to investigate tapered thin-walled beam structures, in which torsion related warping effect is included. First, a set of fully coupled governing equations...
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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: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/2174209 |
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| _version_ | 1832568047282421760 |
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| author | Yiping Shen Zhijun Zhu Songlai Wang Gang Wang |
| author_facet | Yiping Shen Zhijun Zhu Songlai Wang Gang Wang |
| author_sort | Yiping Shen |
| collection | DOAJ |
| description | Tapered thin-walled structures have been widely used in wind turbine and rotor blade. In this paper, a spectral finite element model is developed to investigate tapered thin-walled beam structures, in which torsion related warping effect is included. First, a set of fully coupled governing equations are derived using Hamilton’s principle to account for axial, bending, and torsion motion. Then, the differential transform method (DTM) is applied to obtain the semianalytical solutions in order to formulate the spectral finite element. Finally, numerical simulations are conducted for tapered thin-walled wind turbine rotor blades and validated by the ANSYS. Modal frequency results agree well with the ANSYS predictions, in which approximate 30,000 shell elements were used. In the SFEM, one single spectral finite element is needed to perform such calculations because the interpolation functions are deduced from the exact semianalytical solutions. Coupled axial-bending-torsion mode shapes are obtained as well. In summary, the proposed spectral finite element model is able to accurately and efficiently to perform the modal analysis for tapered thin-walled rotor blades. These modal frequency and mode shape results are important to carry out design and performance evaluation of the tapered thin-walled structures. |
| format | Article |
| id | doaj-art-f5b4cb43157641699dcb68e63bc6a4d0 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-f5b4cb43157641699dcb68e63bc6a4d02025-02-03T01:00:00ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/21742092174209Dynamic Analysis of Tapered Thin-Walled Beams Using Spectral Finite Element MethodYiping Shen0Zhijun Zhu1Songlai Wang2Gang Wang3Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan 411201, Hunan Province, ChinaHunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan 411201, Hunan Province, ChinaHunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan 411201, Hunan Province, ChinaHunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan 411201, Hunan Province, ChinaTapered thin-walled structures have been widely used in wind turbine and rotor blade. In this paper, a spectral finite element model is developed to investigate tapered thin-walled beam structures, in which torsion related warping effect is included. First, a set of fully coupled governing equations are derived using Hamilton’s principle to account for axial, bending, and torsion motion. Then, the differential transform method (DTM) is applied to obtain the semianalytical solutions in order to formulate the spectral finite element. Finally, numerical simulations are conducted for tapered thin-walled wind turbine rotor blades and validated by the ANSYS. Modal frequency results agree well with the ANSYS predictions, in which approximate 30,000 shell elements were used. In the SFEM, one single spectral finite element is needed to perform such calculations because the interpolation functions are deduced from the exact semianalytical solutions. Coupled axial-bending-torsion mode shapes are obtained as well. In summary, the proposed spectral finite element model is able to accurately and efficiently to perform the modal analysis for tapered thin-walled rotor blades. These modal frequency and mode shape results are important to carry out design and performance evaluation of the tapered thin-walled structures.http://dx.doi.org/10.1155/2019/2174209 |
| spellingShingle | Yiping Shen Zhijun Zhu Songlai Wang Gang Wang Dynamic Analysis of Tapered Thin-Walled Beams Using Spectral Finite Element Method Shock and Vibration |
| title | Dynamic Analysis of Tapered Thin-Walled Beams Using Spectral Finite Element Method |
| title_full | Dynamic Analysis of Tapered Thin-Walled Beams Using Spectral Finite Element Method |
| title_fullStr | Dynamic Analysis of Tapered Thin-Walled Beams Using Spectral Finite Element Method |
| title_full_unstemmed | Dynamic Analysis of Tapered Thin-Walled Beams Using Spectral Finite Element Method |
| title_short | Dynamic Analysis of Tapered Thin-Walled Beams Using Spectral Finite Element Method |
| title_sort | dynamic analysis of tapered thin walled beams using spectral finite element method |
| url | http://dx.doi.org/10.1155/2019/2174209 |
| work_keys_str_mv | AT yipingshen dynamicanalysisoftaperedthinwalledbeamsusingspectralfiniteelementmethod AT zhijunzhu dynamicanalysisoftaperedthinwalledbeamsusingspectralfiniteelementmethod AT songlaiwang dynamicanalysisoftaperedthinwalledbeamsusingspectralfiniteelementmethod AT gangwang dynamicanalysisoftaperedthinwalledbeamsusingspectralfiniteelementmethod |