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http://dx.doi.org/10.12989/scs.2017.23.3.251

Vibration and stability of initially stressed sandwich plates with FGM face sheets in thermal environments  

Chen, Chun-Sheng (Department of Mechanical Engineering, Lunghwa University of Science and Technology)
Liu, Fwu-Hsing (Department of Mechanical Engineering, Lunghwa University of Science and Technology)
Chen, Wei-Ren (Department of Mechanical Engineering, Lunghwa University of Science and Technology)
Publication Information
Steel and Composite Structures / v.23, no.3, 2017 , pp. 251-261 More about this Journal
Abstract
In this paper, thermal effect on the vibration and stability of initially stressed sandwich plates with functionally graded material (FGM) face sheets is analyzed. Material properties of FGM face sheet are graded continuously in the thickness direction. The variation of FGM properties assumes a simple power law distribution in terms of the volume fractions of the constituents. The governing equations of arbitrarily initially-stressed sandwich plates including the effects of transverse shear deformation and rotary inertia are derived. The initial stress is taken to be a combination of a uniaxial extensional stress and a pure bending stress in the examples. The eigenvalue problems are formed to study the vibration and buckling characteristics of simple supported initially stressed FGM/metal/FGM plates. The effects of volume fraction index, temperature rise, initial stress and layer thickness of metal on the natural frequencies and buckling loads are investigated. The results reveal that the volume fraction index, initial stresses and layer thickness of metal have significant influence on the vibration and stability of sandwich plates with FGM face sheets.
Keywords
thermal effect; sandwich plate; FGM face sheet; volume fraction index; initial stress;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Matsunaga, H. (2009), "Thermal buckling of functionally graded plates according to a 2D higher-order deformation theory", Compos. Struct., 90(1), 76-86.   DOI
2 Natarajan, S., Baiz, P.M., Ganapathi, M., Kerfriden, P. and Bordas, S. (2011), "Linear free flexural vibration of cracked functionally graded plates in thermal environment", Comput. Struct., 89(15-16), 1535-1546.   DOI
3 Pradyumna, S. and Bandyopadhyay, J.N. (2010), "Free vibration and buckling of functionally graded shell panels in thermal environments", Int. J. Struct. Stab. Dyn., 10(5), 1031-1053.   DOI
4 Rahimabadi, A.A., Natarajan, S. and Bordas, S.P.A. (2013), "Vibration of functionally graded material plates with cutouts & cracks in thermal environment", Key Eng. Mater., 560, 157-180.   DOI
5 Shafiee, A.A., Daneshmand, F., Askari, E. and Mahzoon, M. (2014), "Dynamic behavior of a functionally graded plate resting on Winkler elastic foundation and in contact with fluid", Struct. Eng. Mech., Int. J., 50(1), 53-71.   DOI
6 Shariat, B.A.S. and Eslami, M.R. (2007), "Buckling of thick functionally graded plates under mechanical and thermal load", Compos. Struct., 78(3), 433-439.   DOI
7 Shen, H.S. and Li, S.R. (2008), "Postbuckling of sandwich plates with FGM face sheets and temperature-dependent properties", Compos.: Part B Engng., 39(2), 332-344.   DOI
8 Shen, H.S. and Zhu, Z.H. (2010), "Buckling and postbuckling behavior of functionally graded nanotube-reinforced composite plates in thermal environments", Comput. Mater. Continua, 18(2), 155-182.
9 Touloukian, Y.S. (1967), Thermophysical Properties of High Temperature Solid Materials, McMillan Co., New York, USA.
10 Shi, P. and Dong, C.Y. (2012), "Vibration analysis of functionally graded annular plates with mixed boundary conditions in hermal environment", J. Sound Vib., 331(15), 3649-3662.   DOI
11 Yang, J. and Shen, H.S. (2003), "Nonlinear analysis of functionally graded plates under transverse and in-plane loads", Int. J. Non-Linear Mech., 38(4), 467-482.   DOI
12 Zhao, X., Lee, Y.Y. and Liew, K.M. (2009), "Mechanical and thermal buckling analysis of functionally graded plates", Compos. Struct., 90(2), 161-171.   DOI
13 Chen, C.S., Fung, C.P. and Yu, S.Y. (2008), "Investigation on the vibration and stability of functionally graded plates", J. Rein. Plast. Compos., 27(13), 1435-1447.   DOI
14 Brunell, E.J. and Robertson, S.R. (1974), "Initially stressed Mindlin plates", AIAA J., 12(1), 1036-1045.   DOI
15 Chakravarty, S. and Pradhan, K.K. (2014), "Free vibration of exponential functionally graded rectangular plates in thermal environment with general boundary conditions", Aeros. Sci. Tech., 36(1), 132-156.   DOI
16 Chen, C.S., Chen, T.J. and Chien, R.D. (2006), "Nonlinear vibration analysis of an initially stressed functionally graded plate", Thin-Wall. Struct., 44(8), 844-851.   DOI
17 Chen, C.S., Hsu, C.Y. and Tzou, G.J. (2009), "Vibration and stability of functionally graded plates based on a higher-order deformation theory", J. Rein. Plast. Compos., 28(10), 1215-1234.   DOI
18 Ghannadpour, S.A.M., Ovesy, H.R. and Nassirnia, M. (2012), "Buckling analysis of functionally graded plates under thermal loadings using the finite strip method", Comput. Struct., 108-109(1), 93-99.   DOI
19 Kazerouni, S.M., Saidi, A.R. and Mohammadi, M. (2010), "Buckling analysis of thin functionally graded rectangular plates with two opposite edges simply supported", Int. J. Eng., Tran. B: Appl., 23(2), 179-192.
20 Javaheri, R. and Eslami, M.R. (2002), "Thermal buckling of functionally graded plates based on higher order theory", J. Thermal Stress., 25(7), 603-625.   DOI
21 Khalili, S.M.R. and Mohammadi, Y. (2012), "Free vibration analysis of sandwich plates with functionally graded face sheets and temperature-dependent material properties: A new approach", Eur. J. Mech., A/Solids, 35(1), 61-74.   DOI
22 Li, Q., Iu, V.P. and Kou, K.P. (2009), "Three-dimensional vibration analysis of functionally graded material plates in thermal environment", J. Sound Vib., 324(3-5), 733-750.   DOI
23 Loja, M.A.R., Mota, S.C.M. and Barbosa, J.I. (2013), "Analysis of functionally graded sandwich plate structures with piezoelectric skins, using B-spline finite strip method", Compos. Struct., 96(1), 606-615.   DOI
24 Mahi, A., Bedia, E.A.A. and Benkhedda, A. (2013), "Free vibration analysis of FGM plates under initial thermal stresses", Adv. Mater. Res., 682(1), 49-56.   DOI
25 Malekzadeh, P., Shahpari, S.A. and Ziaee, H.R. (2010), "Three-dimensional free vibration of thick functionally graded annular plates in thermal environment", J. Sound Vib., 329(4) 425-442.   DOI
26 Matsunaga, H. (2005), "Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher order deformation theory", Compos. Struct., 68(1), 439-454.   DOI