Dynamic Stiffness Formulation for Free Vibration of Truncated Conical Shell and Its Combinations with Uniform Boundary Restraints
This paper presents a dynamic stiffness formulation for the free vibration analysis of truncated conical shell and its combinations with uniform boundary restraints. The displacement fields are expressed as power series, and the coefficients of the series are obtained as recursion formula by substit...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/6655035 |
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| author | Chunyu Zhang Guoyong Jin Zhihao Wang Xuqin Qian Linghua Tian |
| author_facet | Chunyu Zhang Guoyong Jin Zhihao Wang Xuqin Qian Linghua Tian |
| author_sort | Chunyu Zhang |
| collection | DOAJ |
| description | This paper presents a dynamic stiffness formulation for the free vibration analysis of truncated conical shell and its combinations with uniform boundary restraints. The displacement fields are expressed as power series, and the coefficients of the series are obtained as recursion formula by substituting the power series into the governing equations. Then, the general solutions can be replaced by an algebraic sum which contains eight base functions, which can diminish the number of degrees of freedom directly. The dynamic stiffness matrix is formulated based on the relationship between the force and displacement along the boundary lines. In the formulation, arbitrary elastic boundary restraints can be realized by introducing four sets of boundary springs along the displacement directions at the boundary lines. The modeling methodology can be easily extended to the combinations of conical shells with different thickness and semivertex angles. The convergence and accuracy of the present formulation are demonstrated by comparing with the finite element method using several numerical examples. Effects of the elastic boundary condition and geometric dimension on the free vibration characteristics are investigated, and several representative mode shapes are depicted for illustrative purposes. |
| format | Article |
| id | doaj-art-a3450af3c8a64ba6940686993a4ca12d |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-a3450af3c8a64ba6940686993a4ca12d2025-02-03T05:58:29ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/66550356655035Dynamic Stiffness Formulation for Free Vibration of Truncated Conical Shell and Its Combinations with Uniform Boundary RestraintsChunyu Zhang0Guoyong Jin1Zhihao Wang2Xuqin Qian3Linghua Tian4School of Energy and Power Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaSchool of Energy and Power Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Energy and Power Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaThis paper presents a dynamic stiffness formulation for the free vibration analysis of truncated conical shell and its combinations with uniform boundary restraints. The displacement fields are expressed as power series, and the coefficients of the series are obtained as recursion formula by substituting the power series into the governing equations. Then, the general solutions can be replaced by an algebraic sum which contains eight base functions, which can diminish the number of degrees of freedom directly. The dynamic stiffness matrix is formulated based on the relationship between the force and displacement along the boundary lines. In the formulation, arbitrary elastic boundary restraints can be realized by introducing four sets of boundary springs along the displacement directions at the boundary lines. The modeling methodology can be easily extended to the combinations of conical shells with different thickness and semivertex angles. The convergence and accuracy of the present formulation are demonstrated by comparing with the finite element method using several numerical examples. Effects of the elastic boundary condition and geometric dimension on the free vibration characteristics are investigated, and several representative mode shapes are depicted for illustrative purposes.http://dx.doi.org/10.1155/2021/6655035 |
| spellingShingle | Chunyu Zhang Guoyong Jin Zhihao Wang Xuqin Qian Linghua Tian Dynamic Stiffness Formulation for Free Vibration of Truncated Conical Shell and Its Combinations with Uniform Boundary Restraints Shock and Vibration |
| title | Dynamic Stiffness Formulation for Free Vibration of Truncated Conical Shell and Its Combinations with Uniform Boundary Restraints |
| title_full | Dynamic Stiffness Formulation for Free Vibration of Truncated Conical Shell and Its Combinations with Uniform Boundary Restraints |
| title_fullStr | Dynamic Stiffness Formulation for Free Vibration of Truncated Conical Shell and Its Combinations with Uniform Boundary Restraints |
| title_full_unstemmed | Dynamic Stiffness Formulation for Free Vibration of Truncated Conical Shell and Its Combinations with Uniform Boundary Restraints |
| title_short | Dynamic Stiffness Formulation for Free Vibration of Truncated Conical Shell and Its Combinations with Uniform Boundary Restraints |
| title_sort | dynamic stiffness formulation for free vibration of truncated conical shell and its combinations with uniform boundary restraints |
| url | http://dx.doi.org/10.1155/2021/6655035 |
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