Journal ArticleDOI
Semi-analytical solution for three-dimensional vibration of functionally graded circular plates
TLDR
In this article, a semi-analytical method using the state space method and the one-dimensional differential quadrature method is used to obtain the vibration frequencies and dynamic responses of circular plates.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2007-11-01. It has received 132 citations till now. The article focuses on the topics: Quadrature (mathematics) & Nyström method.read more
Citations
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Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution
TL;DR: In this article, a generalization of the power-law distribution presented in literature is proposed for the volume fraction of conical shells, where materials are assumed to be isotropic and inhomogeneous through the thickness direction.
Journal ArticleDOI
Recent development in modeling and analysis of functionally graded materials and structures
Ankit Gupta,Mohammad Talha +1 more
TL;DR: An extensive review related to the structural response of the functionally graded materials (FGMs) and structures have been presented in this article, where the emphasis has been made here, to present the structural characteristics of FGMs plates/shells under thermo-electro-mechanical loadings under various boundary and environmental conditions.
Journal ArticleDOI
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review
K. Swaminathan,D.T. Naveenkumar,Ashraf M. Zenkour,Ashraf M. Zenkour,Erasmo Carrera,Erasmo Carrera +5 more
TL;DR: In this article, a comprehensive review of the various methods employed to study the static, dynamic and stability behavior of Functionally Graded Material (FGM) plates is presented with an emphasis to present stress, vibration and buckling characteristics of FGM plates predicted using different theories.
Journal ArticleDOI
Thermal analysis of FGM plates – A critical review of various modeling techniques and solution methods
K. Swaminathan,D.M. Sangeetha +1 more
TL;DR: In this paper, a comprehensive review of developments, applications, various mathematical idealizations of materials, temperature profiles, modeling techniques and solutions methods that are adopted for the thermal analysis of FGM plates is presented.
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Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution
Francesco Tornabene,Erasmo Viola +1 more
TL;DR: In this article, a generalization of the power-law distribution presented in literature is proposed for the ceramic volume fraction, and the governing equations of motion are expressed as functions of five kinematic parameters.
References
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Journal ArticleDOI
Differential Quadrature Method in Computational Mechanics: A Review
Charles W. Bert,Moinuddin Malik +1 more
TL;DR: The differential quadrature method (DQM) as discussed by the authors is a numerical solution technique for initial and/or boundary problems, which was developed by the late Richard Bellman and his associates in the early 70s.
Journal ArticleDOI
Three-dimensional exact solution for the vibration of functionally graded rectangular plates
Senthil S. Vel,Romesh C. Batra +1 more
TL;DR: In this paper, a three-dimensional exact solution for free and forced vibrations of simply supported functionally graded rectangular plates is presented, where suitable displacement functions that identically satisfy boundary conditions are used to reduce equations governing steady state vibrations of a plate to a set of coupled ordinary differential equations, which are then solved by employing the power series method.
Journal ArticleDOI
Natural frequencies of functionally graded plates by a meshless method
TL;DR: In this paper, the first and third-order shear deformation plate theories, the Mori-Tanaka technique, and approximate the trial solution with multiquadric radial basis functions to analyze free vibrations of functionally graded plates.
Journal ArticleDOI
Piezoelectric Ceramics with Functional Gradients: A New Application in Material Design
TL;DR: In this paper, a bending bar made from a single piece of material is introduced, and the application of a voltage then causes the bar to bend due to the differential stresses that are induced.
Journal ArticleDOI
Dynamic response of initially stressed functionally graded rectangular thin plates
Jie Yang,Hui-Shen Shen +1 more
TL;DR: In this article, the dynamic response of initially stressed functionally graded rectangular thin plates subjected to partially distributed impulsive lateral loads and without or resting on an elastic foundation is investigated, and the formulations are based on classical small deflection plate theory, and account for the plate-foundation interaction effects by a two-parameter model.
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Exact vibration analysis of variable thickness thick annular isotropic and FGM plates
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Differential Quadrature Method in Computational Mechanics: A Review
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