Journal ArticleDOI
A differential quadrature nonlinear free vibration analysis of laminated composite skew thin plates
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TLDR
Using a differential quadrature (DQ) method, large amplitude free vibration analysis of laminated composite skew thin plates is presented in this paper, where the governing equations are based on the thin plate theory (TPT) and the geometrical nonlinearity is modeled using Green's strain in conjunction with von Karman assumptions.Abstract:
Using a differential quadrature (DQ) method, large amplitude free vibration analysis of laminated composite skew thin plates is presented The governing equations are based on the thin plate theory (TPT) and the geometrical nonlinearity is modeled using Green's strain in conjunction with von Karman assumptions To cause the impact due to nonlinear terms more significant, in-plane immovable simply supported, clamped and different combinations of them are considered The effects of different parameters on the convergence and accuracy of the method are studied The resulted solutions are compared to those from other numerical methods to show the accuracy of the method Some new results for laminated composite skew plates with different mixed boundary conditions are presented and are compared with those obtained using the first order shear deformation theory based DQ (FSDT-DQ) method Excellent agreements exist between the solutions of the two approaches but with much lower computational efforts of the present DQ methodology with respect to FSDT-DQ methodread more
Citations
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Strong Formulation Finite Element Method Based on Differential Quadrature: A Survey
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On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results
TL;DR: In this paper, the free vibration analysis of multilayered laminated composite and sandwich plates using various methods available for the analysis of plates is presented and compared with other higher order shear deformation theories.
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Surface and nonlocal effects on the nonlinear free vibration of non-uniform nanobeams
TL;DR: In this paper, the surface and nonlocal effects on the nonlinear flexural free vibrations of elastically supported non-uniform cross section nanobeams are studied simultaneously using Hamilton's principle in conjunction with Eringen's nonlocal elasticity theory.
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Three-dimensional temperature dependent free vibration analysis of functionally graded material curved panels resting on two-parameter elastic foundation using a hybrid semi-analytic, differential quadrature method
TL;DR: In this article, free vibration analysis of initially stressed simply supported functionally graded curved panel resting on two-parameter elastic foundation (Pasternak model), subjected in thermal environment is studied using the three-dimensional elasticity formulation.
Journal ArticleDOI
Variational differential quadrature: A technique to simplify numerical analysis of structures
TL;DR: In this paper, a variational differential quadrature (VDQ) method is proposed to discretize the energy functional in the structural mechanics, which is based on the accurate and direct discretization of energy functional.
References
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Journal ArticleDOI
Large-amplitude oscillations of oblique panels with an initial curvature
TL;DR: In this article, the Von Karman field equations for flexible oblique plates with an initial curvature are extended to a dynamical case using series of initial and additional deflections and Galerkin's procedure, the governing equation for an admissible mode time function is established using this single assumed modal deflection, and assuming built-in edge fiee to move in the inplane directions.
Journal ArticleDOI
Large amplitude free vibrations of skew plates including transverse shear deformation and rotatory inertia—a new approach
TL;DR: In this article, large amplitude flexural vibrations of clamped as well as simply supported isotropic elastic rhombic plates (skew plates having unity aspect ratio) are investigated, the effects of shear deformation and rotatory inertia being included.
Journal ArticleDOI
Non-linear flexural vibration of orthotropic skew plates
M. Sathyamoorthy,K.A.V. Pandalai +1 more
TL;DR: In this article, the large amplitude (non-linear) free flexural vibration of thin, elastic, orthotropic skew plates clamped along all four edges was analyzed using the Galerkin's method.
Journal ArticleDOI
Nonlinear Vibration of Elastic Skew Plates Exhibiting Rectilinear Orthotropy
M. Sathyamoorthy,K.A.V. Pandalai +1 more
TL;DR: In this article, the authors derived the governing equations for large amplitude flexural vibrations of orthotropic skew plates from the corresponding static equations derived in this paper, making use of an approximation originally due to Berger, corresponding simplified equations are also derived.
Journal ArticleDOI
Non-linear flexural vibrations of anisotropic skew plates
Gangan Prathap,T.K. Varadan +1 more
TL;DR: In this article, the large amplitude free flexural vibrations of thin, elastic anisotropic skew plates are studied by using the von Karman field equations in which the governing non-linear dynamic equations are derived in terms of the stress function and the lateral displacement.
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