Nonlinear free vibration behavior of functionally graded plates
In this paper, an analytical solution is provided for the nonlinear free vibration behavior of plates made of functionally graded materials. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a power-law distribution of the...
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| Published in | Journal of sound and vibration Vol. 289; no. 3; pp. 595 - 611 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
London
Elsevier Ltd
01.01.2006
Elsevier |
| Subjects | |
| Online Access | Get full text |
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| Abstract | In this paper, an analytical solution is provided for the nonlinear free vibration behavior of plates made of functionally graded materials. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a power-law distribution of the volume fraction of the constituents. The fundamental equations for thin rectangular plates of functionally graded materials are obtained using the von Karman theory for large transverse deflection, and the solution is obtained in terms of mixed Fourier series. The effect of material properties, boundary conditions and thermal loading on the dynamic behavior of the plates is determined and discussed. The results reveal that nonlinear coupling effects play a major role in dictating the fundamental frequency of functionally graded plates. |
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| AbstractList | In this paper, an analytical solution is provided for the nonlinear free vibration behavior of plates made of functionally graded materials. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a power-law distribution of the volume fraction of the constituents. The fundamental equations for thin rectangular plates of functionally graded materials are obtained using the von Karman theory for large transverse deflection, and the solution is obtained in terms of mixed Fourier series. The effect of material properties, boundary conditions and thermal loading on the dynamic behavior of the plates is determined and discussed. The results reveal that nonlinear coupling effects play a major role in dictating the fundamental frequency of functionally graded plates. |
| Author | Meguid, S.A. Ong, L.S. Woo, J. |
| Author_xml | – sequence: 1 givenname: J. surname: Woo fullname: Woo, J. organization: Engineering Mechanics and Design Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario, Canada M5S 3G8 – sequence: 2 givenname: S.A. surname: Meguid fullname: Meguid, S.A. email: meguid@mie.utoronto.ca organization: Engineering Mechanics and Design Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario, Canada M5S 3G8 – sequence: 3 givenname: L.S. surname: Ong fullname: Ong, L.S. organization: Engineering Mechanics Division, School of Mechanical and Production Engineering, Nanyang Technological University, 50 Nanyang Avenue 639798, Singapore |
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| Cites_doi | 10.1016/S0020-7403(98)00054-X 10.1016/S0020-7683(97)00253-9 10.1016/0045-7825(93)90088-F 10.1016/0266-3538(96)00075-9 10.1016/S0020-7683(01)00048-8 |
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| Keywords | High strain Volume fraction Free vibration Thin plate Thermomechanical properties Fourier series Modeling Natural frequency Thermal properties Edge effect Functionnally graded material Rectangular plate Von Kárman equation Non linear effect Power law Dynamic load |
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| References | Wetherhold, Seelman, Wang (bib4) 1996; 56 Miyamoto (bib9) 1999 Ishikawa (bib2) 1990 Ichikawa (bib6) 2000 Takezono, Tao, Inamura, Inoue (bib3) 1996; 39 Nayfeh, Mook (bib10) 1979 Praveen, Reddy (bib7) 1998; 35 Tanaka, Tanaka, Watanabe, Poterasu, Sugano (bib1) 1993; 109 Woo, Meguid (bib5) 2001; 38 Loy, Lam, Reddy (bib8) 1999; 41 Takezono (10.1016/j.jsv.2005.02.031_bib3) 1996; 39 Praveen (10.1016/j.jsv.2005.02.031_bib7) 1998; 35 Loy (10.1016/j.jsv.2005.02.031_bib8) 1999; 41 Miyamoto (10.1016/j.jsv.2005.02.031_bib9) 1999 Wetherhold (10.1016/j.jsv.2005.02.031_bib4) 1996; 56 Woo (10.1016/j.jsv.2005.02.031_bib5) 2001; 38 Tanaka (10.1016/j.jsv.2005.02.031_bib1) 1993; 109 Nayfeh (10.1016/j.jsv.2005.02.031_bib10) 1979 Ichikawa (10.1016/j.jsv.2005.02.031_bib6) 2000 Ishikawa (10.1016/j.jsv.2005.02.031_bib2) 1990 |
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