Free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory
Second-order shear deformation theory (SSDT) is employed to analyze vibration of temperature-dependent solar functionally graded plates (SFGP’s). Power law material properties and linear steady-state thermal loads are assumed to be graded along the thickness. Two different types of SFGP’s such as Zr...
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| Format: | Article |
| Language: | English |
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Korean Society of Mechanical Engineers & Springer
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/23077/ http://psasir.upm.edu.my/id/eprint/23077/1/Free%20vibration%20analysis%20of%20solar%20functionally%20graded%20plates%20with%20temperature-dependent%20material%20properties%20using%20second%20order%20shear%20deformation%20theory.pdf |
| _version_ | 1848844657726849024 |
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| author | Shahrjerdi, Ali Mustapha, Faizal Bayat, Mehdi Abang Abdul Majid, Dayang Laila |
| author_facet | Shahrjerdi, Ali Mustapha, Faizal Bayat, Mehdi Abang Abdul Majid, Dayang Laila |
| author_sort | Shahrjerdi, Ali |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Second-order shear deformation theory (SSDT) is employed to analyze vibration of temperature-dependent solar functionally graded plates (SFGP’s). Power law material properties and linear steady-state thermal loads are assumed to be graded along the thickness. Two different types of SFGP’s such as ZrO2/Ti-6Al-4V and Si3N4/SUS304 are considered. Uniform, linear, nonlinear, heat-flux and sinusoidal thermal conditions are imposed at the upper and lower surface for simply supported SFGPs. The energy method is applied to derive equilibrium equations, and solution is based on Fourier series that satisfy the boundary conditions (Navier’s method). Non-dimensional results are compared for temperature-dependent and temperature-independent SFGP’s and validated with known results in the literature. Numerical results indicate the effect of material composition, plate geometry, and temperature fields on the vibration characteristics and mode shapes. The results obtained using the SSDT are very close to results from other shear deformation theories. |
| first_indexed | 2025-11-15T08:34:25Z |
| format | Article |
| id | upm-23077 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:34:25Z |
| publishDate | 2011 |
| publisher | Korean Society of Mechanical Engineers & Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-230772015-12-03T07:27:30Z http://psasir.upm.edu.my/id/eprint/23077/ Free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory Shahrjerdi, Ali Mustapha, Faizal Bayat, Mehdi Abang Abdul Majid, Dayang Laila Second-order shear deformation theory (SSDT) is employed to analyze vibration of temperature-dependent solar functionally graded plates (SFGP’s). Power law material properties and linear steady-state thermal loads are assumed to be graded along the thickness. Two different types of SFGP’s such as ZrO2/Ti-6Al-4V and Si3N4/SUS304 are considered. Uniform, linear, nonlinear, heat-flux and sinusoidal thermal conditions are imposed at the upper and lower surface for simply supported SFGPs. The energy method is applied to derive equilibrium equations, and solution is based on Fourier series that satisfy the boundary conditions (Navier’s method). Non-dimensional results are compared for temperature-dependent and temperature-independent SFGP’s and validated with known results in the literature. Numerical results indicate the effect of material composition, plate geometry, and temperature fields on the vibration characteristics and mode shapes. The results obtained using the SSDT are very close to results from other shear deformation theories. Korean Society of Mechanical Engineers & Springer 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/23077/1/Free%20vibration%20analysis%20of%20solar%20functionally%20graded%20plates%20with%20temperature-dependent%20material%20properties%20using%20second%20order%20shear%20deformation%20theory.pdf Shahrjerdi, Ali and Mustapha, Faizal and Bayat, Mehdi and Abang Abdul Majid, Dayang Laila (2011) Free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory. Journal of Mechanical Science and Technology, 25 (9). pp. 2195-2209. ISSN 1738-494X; ESSN: 1976-3824 http://link.springer.com/article/10.1007%2Fs12206-011-0610-x 10.1007/s12206-011-0610-x |
| spellingShingle | Shahrjerdi, Ali Mustapha, Faizal Bayat, Mehdi Abang Abdul Majid, Dayang Laila Free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory |
| title | Free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory |
| title_full | Free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory |
| title_fullStr | Free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory |
| title_full_unstemmed | Free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory |
| title_short | Free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory |
| title_sort | free vibration analysis of solar functionally graded plates with temperature-dependent material properties using second order shear deformation theory |
| url | http://psasir.upm.edu.my/id/eprint/23077/ http://psasir.upm.edu.my/id/eprint/23077/ http://psasir.upm.edu.my/id/eprint/23077/ http://psasir.upm.edu.my/id/eprint/23077/1/Free%20vibration%20analysis%20of%20solar%20functionally%20graded%20plates%20with%20temperature-dependent%20material%20properties%20using%20second%20order%20shear%20deformation%20theory.pdf |