Journal ArticleDOI
General equations of anisotropic plates and shells including transverse shear deformations, rotary inertia and initial curvature effects
M.H. Toorani,Aouni A. Lakis +1 more
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In this paper, a generalization of geometrically linear shear deformation theory for multilayered anisotropic shells of general shape is presented, which includes the effects of shear deformations and rotary inertia as well as initial curvature.About:
This article is published in Journal of Sound and Vibration.The article was published on 2000-11-02. It has received 144 citations till now. The article focuses on the topics: Rotary inertia & Stress resultants.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.
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Recent research advances in the dynamic behavior of shells: 1989-2000, Part 1: Laminated composite shells
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Free vibration analysis of functionally graded panels and shells of revolution
Francesco Tornabene,Erasmo Viola +1 more
TL;DR: In this paper, the authors study the dynamic behavior of functionally graded parabolic and circular panels and shells of revolution using First-order Shear Deformation Theory (FSDT) to study these moderately thick structural elements.
Journal ArticleDOI
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.
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FGM and laminated doubly curved shells and panels of revolution with a free-form meridian: A 2-D GDQ solution for free vibrations
TL;DR: In this paper, the generalized differential quadrature (GDQ) method is applied to study the dynamic behavior of functionally graded materials (FGMs) and laminated doubly curved shells and panels of revolution with a free-form meridian.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
R D Mindlin,R D Mindlin +1 more
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A Simple Higher-Order Theory for Laminated Composite Plates
TL;DR: In this paper, a higher-order shear deformation theory of laminated composite plates is developed, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.
Book
An Introduction to the Finite Element Method
TL;DR: Second-order Differential Equations in One Dimension: Finite Element Models (FEM) as discussed by the authors is a generalization of the second-order differential equation in two dimensions.