Vibration characteristics analysis of ring-stiffened conical shells based on power series method
ObjectivesThe purpose of this paper is to solve the vibration equations of a ring-stiffened conical shell using the analytical method, and to investigate the vibration characteristics of a ring-stiffened conical shell theoretically.MethodsFirst, the ring-stiffened conical shell is processed in segme...
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| Format: | Article |
| Language: | English |
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Editorial Office of Chinese Journal of Ship Research
2023-04-01
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| Series: | Zhongguo Jianchuan Yanjiu |
| Subjects: | |
| Online Access: | http://www.ship-research.com/en/article/doi/10.19693/j.issn.1673-3185.02442 |
| _version_ | 1797828996224778240 |
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| author | Haiming YI Chunxu WANG |
| author_facet | Haiming YI Chunxu WANG |
| author_sort | Haiming YI |
| collection | DOAJ |
| description | ObjectivesThe purpose of this paper is to solve the vibration equations of a ring-stiffened conical shell using the analytical method, and to investigate the vibration characteristics of a ring-stiffened conical shell theoretically.MethodsFirst, the ring-stiffened conical shell is processed in segments, and its displacement along the radial, circumferential and normal directions is written in the form of power series solutions respectively. The recurrence relations of the coefficients ahead of the power series are then derived in detail. At the same time, a beam model is used to simulate the influence of the number of ring-stiffeners on the vibration characteristics of the conical shell, and the boundary conditions, displacement, internal force matrices and ring-stiffeners of the conical shell segments are assembled and solved, thereby obtaining the vibration response of the shell under harmonic external excitation. Moreover, a comparison of the calculation results with those obtained by the ANSYS finite element analysis is carried out to verify the validity of the proposed method. Finally, the theoretical method is applied to analyze the vibration characteristics of the ring-stiffened conical shell theoretically. ResultsThe results show that installing ring-stiffeners on the conical shell can significantly suppress the vibration of the conical shell, which is manifested by the decrease in response amplitude, the increase in natural frequency, and the decrease in the number of resonance peaks within the same frequency band. Increasing the thickness of the shell can reduce the vibration response amplitude and increase the natural frequency of the ring-stiffened conical shell. In addition, increasing the half cone angle, axis length and the number of ring ribs can also reduce the vibration response amplitude of the ring-stiffened conical shell.ConclusionsThe results of this study prove that the method used herein has a certain significance for the theoretical analysis of the vibration characteristics of ring-stiffened conical shells. |
| first_indexed | 2024-04-09T13:13:19Z |
| format | Article |
| id | doaj.art-51f9229f041e48e1a7340fb4d99b6ca6 |
| institution | Directory Open Access Journal |
| issn | 1673-3185 |
| language | English |
| last_indexed | 2024-04-09T13:13:19Z |
| publishDate | 2023-04-01 |
| publisher | Editorial Office of Chinese Journal of Ship Research |
| record_format | Article |
| series | Zhongguo Jianchuan Yanjiu |
| spelling | doaj.art-51f9229f041e48e1a7340fb4d99b6ca62023-05-12T05:33:49ZengEditorial Office of Chinese Journal of Ship ResearchZhongguo Jianchuan Yanjiu1673-31852023-04-0118214014810.19693/j.issn.1673-3185.02442ZG2442Vibration characteristics analysis of ring-stiffened conical shells based on power series methodHaiming YI0Chunxu WANG1China Ship Development and Design Center, Wuhan 430064, ChinaChina Ship Development and Design Center, Wuhan 430064, ChinaObjectivesThe purpose of this paper is to solve the vibration equations of a ring-stiffened conical shell using the analytical method, and to investigate the vibration characteristics of a ring-stiffened conical shell theoretically.MethodsFirst, the ring-stiffened conical shell is processed in segments, and its displacement along the radial, circumferential and normal directions is written in the form of power series solutions respectively. The recurrence relations of the coefficients ahead of the power series are then derived in detail. At the same time, a beam model is used to simulate the influence of the number of ring-stiffeners on the vibration characteristics of the conical shell, and the boundary conditions, displacement, internal force matrices and ring-stiffeners of the conical shell segments are assembled and solved, thereby obtaining the vibration response of the shell under harmonic external excitation. Moreover, a comparison of the calculation results with those obtained by the ANSYS finite element analysis is carried out to verify the validity of the proposed method. Finally, the theoretical method is applied to analyze the vibration characteristics of the ring-stiffened conical shell theoretically. ResultsThe results show that installing ring-stiffeners on the conical shell can significantly suppress the vibration of the conical shell, which is manifested by the decrease in response amplitude, the increase in natural frequency, and the decrease in the number of resonance peaks within the same frequency band. Increasing the thickness of the shell can reduce the vibration response amplitude and increase the natural frequency of the ring-stiffened conical shell. In addition, increasing the half cone angle, axis length and the number of ring ribs can also reduce the vibration response amplitude of the ring-stiffened conical shell.ConclusionsThe results of this study prove that the method used herein has a certain significance for the theoretical analysis of the vibration characteristics of ring-stiffened conical shells.http://www.ship-research.com/en/article/doi/10.19693/j.issn.1673-3185.02442ring-stiffened conical shellvibration characteristicsring-stiffeners of beam modelcalculation of conical shell segmentpower series method |
| spellingShingle | Haiming YI Chunxu WANG Vibration characteristics analysis of ring-stiffened conical shells based on power series method Zhongguo Jianchuan Yanjiu ring-stiffened conical shell vibration characteristics ring-stiffeners of beam model calculation of conical shell segment power series method |
| title | Vibration characteristics analysis of ring-stiffened conical shells based on power series method |
| title_full | Vibration characteristics analysis of ring-stiffened conical shells based on power series method |
| title_fullStr | Vibration characteristics analysis of ring-stiffened conical shells based on power series method |
| title_full_unstemmed | Vibration characteristics analysis of ring-stiffened conical shells based on power series method |
| title_short | Vibration characteristics analysis of ring-stiffened conical shells based on power series method |
| title_sort | vibration characteristics analysis of ring stiffened conical shells based on power series method |
| topic | ring-stiffened conical shell vibration characteristics ring-stiffeners of beam model calculation of conical shell segment power series method |
| url | http://www.ship-research.com/en/article/doi/10.19693/j.issn.1673-3185.02442 |
| work_keys_str_mv | AT haimingyi vibrationcharacteristicsanalysisofringstiffenedconicalshellsbasedonpowerseriesmethod AT chunxuwang vibrationcharacteristicsanalysisofringstiffenedconicalshellsbasedonpowerseriesmethod |