Abstract
In this paper, an efficient refined quasi-3D shear deformation theory (R-QSDT) integrated with the meshless method based on moving kriging interpolation for free vibration analysis of functionally graded (FG) sandwich plates resting on the elastic foundation is developed. The displacement field of R-QSDT accommodates an inverse sinusoidal variation of the transverse shear strains, stresses across the plate thickness and satisfies the vanishing of transverse shear stresses on the plate top and bottom surfaces and no correction factor is required. The R-QSDT considers the stretching effect by only four number of unknowns which are less than the existing quasi-3D shear deformation theories. Numerical examples are presented to certify the accuracy of the present method for the free vibration of FG sandwich plates resting on two-parameter elastic foundation.
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References
Akavci SS (2016) Mechanical behavior of functionally graded sandwich plates on elastic foundation. Comp Part B Eng 96:136–152
Li H, Pang F, Wang X, Li S (2017) Benchmark solution for free vibration of moderately thick functionally graded sandwich sector plates on two-parameter elastic foundation with general boundary conditions. Shock Vib 35
Pasternak P (1954) On a new method of analysis of an elastic foundation by means of two foundation constants. Gosudarstvennoe izdatelstvo literaturi po stroi- telstvu i arkhitekture, Moscow
Sobhy M (2013) Buckling and free vibration of exponentially graded sandwich plates resting on elastic foundation under various boundary conditions. Comp Struct 99:76–87
Singh SJ, Harsha SP (2018) Exact solution for free vibration and buckling of sandwich S-FGM plates on pasternak elastic foundation with various boundary conditions. Int J Struct Stab Dyn 19(3)
Singh SJ, Harsha SP (2019) Nonlinear dynamic analysis of sandwich S-FGM plate resting on pasternak foundation under thermal environment. Euro J Mech - A/Solids 76:155–179
Tossapanon P, Wattanasakulpong N (2017) Flexural vibration analysis of functionally graded sandwich plates resting on elastic foundation with arbitrary boundary conditions: Chebyshev collocation technique. J Sand Struct Mat
Vu TV, Curiel-Sosa JL, Bui TQ (2018) A refined sin hyperbolic shear deformation theory for sandwich FG plates by enhanced meshfree with new correlation function. Int J Mech Mat 15:647–669
Zenkour AM (2013) A simple four-unknown refined theory for bending analysis of functionally graded plates. Appl Math Model 37:9041–9051
Acknowledgements
This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.01-2018.319.
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Vu, TV., Nguyen, NH., Nguyen, TT.H., Nguyen, CT., Truong, QH., Van Tang, UK. (2020). Free Vibration Analysis of FG Sandwich Plates on Elastic Foundation Using a Refined Quasi-3D Inverse Sinusoidal Shear Deformation Theory. In: Reddy, J., Wang, C., Luong, V., Le, A. (eds) ICSCEA 2019. Lecture Notes in Civil Engineering, vol 80. Springer, Singapore. https://doi.org/10.1007/978-981-15-5144-4_108
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DOI: https://doi.org/10.1007/978-981-15-5144-4_108
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