Abstract
The present work deals with an accurate prediction of natural frequencies of sandwich plates with functionally graded material (FGM) core in thermal environment. The sandwich plate is made of isotropic face sheets and FGM core. The material properties of the FGM core are varied according to a power law distribution in terms of volume fraction of the constituent material. The layerwise theory used in this work is based on the assumption of the first-order shear deformation theory in each layer and the imposition of displacement continuity at each layer interface. An eight noded isoparametric element is used to model the plate using the finite element method. Heat conduction and temperature dependent material properties are taken into account. The thermal load considered is uniform over the plate surface and varied across thickness direction only. The FEM results are compared with benchmark solutions from literature for FGM plates in order to validate the correctness of the present formulation. Parametric studies are carried out to investigate the effects of geometric, elastic properties and boundary conditions on the free vibration behavior of FGM sandwich plate.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chakrabarti A, Sheikh AH (2004) Vibration of laminate faced sandwich plate by a new refined element. J Aeronaut Eng Trans ASCE 17:123–134
Dozio L (2013) Natural frequencies of sandwich plates with FGM core via variable kinematic 2D Ritz models. Comp Struct 96:561–568
Ferreira AJM, Fasshauer GE, Batra RC, Rodrigues JD (2008) Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter. Comp Struct 86:328–343
Ferreira AJM, Roque CMC, Jorge RMN, Kansa EJ (2005) Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and multiquadrics discretizations. Eng Anal Boundary Elem 29:1104–1114
Hadji L, Atmane HA, Tounsi A, Mechab I, Bedial EAA (2011) Free vibration of functionally graded sandwich plates using four-variable refined plate theory. Appl Math Mech 32:925–942
Huang XL, Shen HS (2004) Nonlinear vibration and dynamic response of functionally graded plates in thermal environments. Int J Solid Struct 41:2403–2427
Kant T, Mallikarjuna (1989) Vibrations of unsymmetrical laminated plates analyzed by using a higher order theory with a C0 finite element formulation. J Sound Vib 134:1–16
Kant T, Ravichandran RV, Pandya BN, Mallikarjuna (1988) Finite element transient dynamic analysis of isotropic and fibre reinforced composite plates using a higher order theory. Comp Struct 9:319–342
Kulkarni SD, Kapuria S (2008) Free vibration analysis of composite and sandwich plates using an improved discrete Kirchhoff quadrilateral element based on third-order zigzag theory. Compu Mech 42:803–824
Kant T, Mallikarjuna (1993) A critical review and some results of recently developed refined theories of fiber reinforced laminated composites and sandwiches. Comp Struct 23:293–312
Pandit MK, Singh BN, Sheikh AH (2010) Vibration of sandwich plates with random material properties using improved higher order zig-zag theory. Mech Adv Mat Struct 17:561–572
Rao MK, Desai YM (2004) Analytical solutions for vibrations of laminated and sandwich plates using mixed theory. Comp Struct 63:361–373
Reddy JN, Chin CD (1998) Thermo mechanical analysis of functionally graded cylinders and plates. J Ther Stresses 21:593–626
Swaminathan S, Patil SS (2008) Analytical solutions using a higher order refined computational model with 12 degrees of freedom for the free vibration analysis of anti-symmetric angle ply plate. Comp Struct 82:209–216
Xiang S, Jin YX, Bi ZY, Jiang SX, Yang MS (2011) A n-order shear deformation theory for free vibration of functionally graded and composite sandwich plates. Comp Struct 93:2826–2832
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer India
About this paper
Cite this paper
Pandey, S., Pradyumna, S. (2015). An Accurate Prediction of Natural Frequencies of Sandwich Plates with Functionally Graded Material Core in Thermal Environment Using a Layerwise Theory. In: Matsagar, V. (eds) Advances in Structural Engineering. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2190-6_16
Download citation
DOI: https://doi.org/10.1007/978-81-322-2190-6_16
Published:
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2189-0
Online ISBN: 978-81-322-2190-6
eBook Packages: EngineeringEngineering (R0)