NDLI: Exact three-dimensional free vibration analysis of thick homogeneous plates coated by a functionally graded layer

Content Provider	Springer Nature Link
Author	Hosseini Hashemi, Sh. Salehipour, H. Atashipour, S. R.
Copyright Year	2012
Abstract	Exact closed-form solutions are carried out for both in-plane and out-of-plane free vibration of thick homogeneous simply supported rectangular plates coated by a functionally graded (FG) layer, based on three-dimensional elasticity theory. The elasticity modulus and mass density of the FG coating are assumed to vary exponentially through the thickness of the coating layer, whereas Poisson’s ratio is remaining constant. The equations of motion are solved using two proposed displacement fields for the in-plane and out-of-plane vibration modes. By inserting the displacement fields in the 3-D elasto-dynamic equations, some independent ordinary equations are obtained and solved analytically. Natural frequencies are extracted by satisfying boundary conditions of interface and surfaces of the structure. The solution procedure is validated by comparing the obtained results with corresponding results of a 3-D finite element analysis. Finally, the influence of the FG coating layer on the natural frequencies of the structure is investigated and discussed. Clearly, the present closed-form solutions can exactly predict both in-plane and out-of-plane vibration modes of thick FG coated plates.
Starting Page	2153
Ending Page	2166
Page Count	14
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	223
Issue Number	10
e-ISSN	16196937
Language	English
Publisher	Springer Vienna
Publisher Date	2012-06-29
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Continuum Mechanics and Mechanics of Materials Classical Continuum Physics Vibration, Dynamical Systems, Control Engineering Thermodynamics, Heat and Mass Transfer Structural Mechanics Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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