Modeling and dynamic analysis of functionally graded porous spherical shell based on Chebyshev–Ritz approach
This study proposes a unified modeling method to investigate the dynamic behaviors of the functionally graded porous (FGP) spherical shell with elastic boundary conditions. First, three kinds of FGP distributed patterns are defined. Then, the first-order shear deformation theory is selected to build...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-09-01
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| Series: | Science and Engineering of Composite Materials |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/secm-2022-0214 |
| _version_ | 1797668765248258048 |
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| author | Lu Jili Yang Qingyun Meng Zhongliang Yang Kang Xu Wei Chiu Ching Vincent |
| author_facet | Lu Jili Yang Qingyun Meng Zhongliang Yang Kang Xu Wei Chiu Ching Vincent |
| author_sort | Lu Jili |
| collection | DOAJ |
| description | This study proposes a unified modeling method to investigate the dynamic behaviors of the functionally graded porous (FGP) spherical shell with elastic boundary conditions. First, three kinds of FGP distributed patterns are defined. Then, the first-order shear deformation theory is selected to build the governing equations of the spherical shell with elastic boundary conditions, which can be solved by the Rayleigh–Ritz approach. Moreover, Chebyshev polynomials of the third kind are selected as an admissible function to express the motion equation. With the constructed model, the correctness is verified by comparing the natural frequency and forced response obtained from both open literature and finite element method. Ultimately, the parameter study is conducted to conclude the effect of the design parameter on the dynamic characteristics of the spherical shell. |
| first_indexed | 2024-03-11T20:33:21Z |
| format | Article |
| id | doaj.art-5651761e26c4457484f2c085d8f4e898 |
| institution | Directory Open Access Journal |
| issn | 2191-0359 |
| language | English |
| last_indexed | 2024-03-11T20:33:21Z |
| publishDate | 2023-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Science and Engineering of Composite Materials |
| spelling | doaj.art-5651761e26c4457484f2c085d8f4e8982023-10-02T07:38:47ZengDe GruyterScience and Engineering of Composite Materials2191-03592023-09-01301215013671410.1515/secm-2022-0214Modeling and dynamic analysis of functionally graded porous spherical shell based on Chebyshev–Ritz approachLu Jili0Yang Qingyun1Meng Zhongliang2Yang Kang3Xu Wei4Chiu Ching Vincent5College of Mechanical & Electrical Engineering, Zaozhuang University, Zaozhuang, ChinaCollege of Mechanical & Electrical Engineering, Zaozhuang University, Zaozhuang, ChinaSchool of Mechanical Engineering, Shandong University, Shandong, ChinaCollege of Mechanical & Electrical Engineering, Zaozhuang University, Zaozhuang, ChinaCollege of Mechanical & Electrical Engineering, Zaozhuang University, Zaozhuang, ChinaCollege of Mechanical & Electrical Engineering, Zaozhuang University, Zaozhuang, ChinaThis study proposes a unified modeling method to investigate the dynamic behaviors of the functionally graded porous (FGP) spherical shell with elastic boundary conditions. First, three kinds of FGP distributed patterns are defined. Then, the first-order shear deformation theory is selected to build the governing equations of the spherical shell with elastic boundary conditions, which can be solved by the Rayleigh–Ritz approach. Moreover, Chebyshev polynomials of the third kind are selected as an admissible function to express the motion equation. With the constructed model, the correctness is verified by comparing the natural frequency and forced response obtained from both open literature and finite element method. Ultimately, the parameter study is conducted to conclude the effect of the design parameter on the dynamic characteristics of the spherical shell.https://doi.org/10.1515/secm-2022-0214dynamic analysisfunctionally graded porous materialspherical shellelastic boundary conditions |
| spellingShingle | Lu Jili Yang Qingyun Meng Zhongliang Yang Kang Xu Wei Chiu Ching Vincent Modeling and dynamic analysis of functionally graded porous spherical shell based on Chebyshev–Ritz approach Science and Engineering of Composite Materials dynamic analysis functionally graded porous material spherical shell elastic boundary conditions |
| title | Modeling and dynamic analysis of functionally graded porous spherical shell based on Chebyshev–Ritz approach |
| title_full | Modeling and dynamic analysis of functionally graded porous spherical shell based on Chebyshev–Ritz approach |
| title_fullStr | Modeling and dynamic analysis of functionally graded porous spherical shell based on Chebyshev–Ritz approach |
| title_full_unstemmed | Modeling and dynamic analysis of functionally graded porous spherical shell based on Chebyshev–Ritz approach |
| title_short | Modeling and dynamic analysis of functionally graded porous spherical shell based on Chebyshev–Ritz approach |
| title_sort | modeling and dynamic analysis of functionally graded porous spherical shell based on chebyshev ritz approach |
| topic | dynamic analysis functionally graded porous material spherical shell elastic boundary conditions |
| url | https://doi.org/10.1515/secm-2022-0214 |
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