3-D free vibration analysis of thick functionally graded annular plates on Pasternak elastic foundation via differential quadrature method (DQM)

DOI10.1007/s00707-011-0543-6zbMath1330.74078OpenAlexW2034041661MaRDI QIDQ2392184

V. Tahouneh, M. H. Yas

Publication date: 1 August 2013

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-011-0543-6

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (10)

3-D free vibration analysis of thick functionally graded annular sector plates on Pasternak elastic foundation via 2-D differential quadrature method ⋮ Free vibration analysis of variable thickness thin plates by two-dimensional differential transform method ⋮ Dynamic analysis of a functionally graded simply supported Euler-Bernoulli beam subjected to a moving oscillator ⋮ Prediction of frequencies of free axisymmetric vibration of two-directional functionally graded annular plates on Winkler foundation ⋮ Free vibration of a functionally graded annular sector plate integrated with piezoelectric layers ⋮ A quasi-3D higher-order plate theory for bending of FG plates resting on elastic foundations under hygro-thermo-mechanical loads with porosity ⋮ Assessment of the effect of the materials composition on the bending response of FG plates lying on two models of elastic foundations in thermo-hygro-mechanical environments ⋮ Free Vibration of Two-Directional Functionally Graded Annular Plates Using Chebyshev Collocation Technique and Differential Quadrature Method ⋮ Free vibration and static bending analysis of piezoelectric functionally graded material plates resting on one area of two-parameter elastic foundation ⋮ A novel 2-D six-parameter power-law distribution for three-dimensional dynamic analysis of thick multi-directional functionally graded rectangular plates resting on a two-parameter elastic foundation

Cites Work

• Free vibration analysis of continuous grading fiber reinforced plates on elastic foundation
• Dynamic analysis of multi-directional functionally graded annular plates
• Three-dimensional layerwise-finite element free vibration analysis of thick laminated annular plates on elastic foundation
• The validity range of CPT and Mindlin plate theory in comparison with 3-D vibrational analysis of circular plates on the elastic foundation
• Semi-analytical solution for three-dimensional vibration of functionally graded circular plates
• Exact vibration solution for initially stressed Mindlin plates on Pasternak foundations
• Effect of an elastic foundation on axisymmetric vibrations of polar orthotropic Mindlin circular plates
• Buckling and vibration of polar orthotropic circular plate resting on Winkler foundation
• Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
• Free vibration of plates with stepped variations in thickness on non-homogeneous elastic foundations
• Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation

This page was built for publication: 3-D free vibration analysis of thick functionally graded annular plates on Pasternak elastic foundation via differential quadrature method (DQM)