Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment
The nonlinear vibration behaviors of stiffened cylindrical shells under electromagnetic excitations, transverse excitations, and in-plane excitations are studied for the first time in this paper. Given the first-order shear deformation theory and Hamilton principle, the nonlinear partial differentia...
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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/10.1155/2021/9983459 |
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| author | Xue-Qin Li Guang-Chen Bai Lu-Kai Song Wei Zhang |
| author_facet | Xue-Qin Li Guang-Chen Bai Lu-Kai Song Wei Zhang |
| author_sort | Xue-Qin Li |
| collection | DOAJ |
| description | The nonlinear vibration behaviors of stiffened cylindrical shells under electromagnetic excitations, transverse excitations, and in-plane excitations are studied for the first time in this paper. Given the first-order shear deformation theory and Hamilton principle, the nonlinear partial differential governing equations of motion are derived with considering the von Karman geometric nonlinearity. By employing the Galerkin discretization procedure, the partial differential equations are diverted to a set of coupled nonlinear ordinary differential equations of motion. Based on the case of 1 : 2 internal resonance and principal resonance-1/2 subharmonic parametric resonance, the multiscale method of perturbation analysis is employed to precisely acquire the four-dimensional nonlinear averaged equations. From the resonant response analysis and nonlinear dynamic simulation, we discovered that the unstable regions of stiffened cylindrical shells can be narrowed by decreasing the external excitation or increasing the magnetic intensity, and their working frequency range can be expanded by reducing the in-plane excitation. Moreover, the different nonlinear dynamic responses of the stiffened cylindrical shell are acquired by controlling stiffener number, stiffener size, and aspect ratio. The presented approach in this paper can provide an efficient analytical framework for nonlinear dynamics theories of stiffened cylindrical shells and will shed light on complex structure design in vibration test engineering. |
| format | Article |
| id | doaj-art-c48b076b48e34692b17934519d823abb |
| 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-c48b076b48e34692b17934519d823abb2025-02-03T06:12:05ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/99834599983459Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic EnvironmentXue-Qin Li0Guang-Chen Bai1Lu-Kai Song2Wei Zhang3School of Energy and Power Engineering, Beihang University, Beijing 100191, ChinaSchool of Energy and Power Engineering, Beihang University, Beijing 100191, ChinaResearch Institute of Aero-Engine, Beihang University, Beijing 100191, ChinaCollege of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaThe nonlinear vibration behaviors of stiffened cylindrical shells under electromagnetic excitations, transverse excitations, and in-plane excitations are studied for the first time in this paper. Given the first-order shear deformation theory and Hamilton principle, the nonlinear partial differential governing equations of motion are derived with considering the von Karman geometric nonlinearity. By employing the Galerkin discretization procedure, the partial differential equations are diverted to a set of coupled nonlinear ordinary differential equations of motion. Based on the case of 1 : 2 internal resonance and principal resonance-1/2 subharmonic parametric resonance, the multiscale method of perturbation analysis is employed to precisely acquire the four-dimensional nonlinear averaged equations. From the resonant response analysis and nonlinear dynamic simulation, we discovered that the unstable regions of stiffened cylindrical shells can be narrowed by decreasing the external excitation or increasing the magnetic intensity, and their working frequency range can be expanded by reducing the in-plane excitation. Moreover, the different nonlinear dynamic responses of the stiffened cylindrical shell are acquired by controlling stiffener number, stiffener size, and aspect ratio. The presented approach in this paper can provide an efficient analytical framework for nonlinear dynamics theories of stiffened cylindrical shells and will shed light on complex structure design in vibration test engineering.http://dx.doi.org/10.1155/2021/9983459 |
| spellingShingle | Xue-Qin Li Guang-Chen Bai Lu-Kai Song Wei Zhang Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment Shock and Vibration |
| title | Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment |
| title_full | Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment |
| title_fullStr | Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment |
| title_full_unstemmed | Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment |
| title_short | Nonlinear Vibration Analysis for Stiffened Cylindrical Shells Subjected to Electromagnetic Environment |
| title_sort | nonlinear vibration analysis for stiffened cylindrical shells subjected to electromagnetic environment |
| url | http://dx.doi.org/10.1155/2021/9983459 |
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