Effect of non-homogeneity on natural frequencies of vibration of elliptic plates

DOI10.1007/s11012-007-9077-3zbMath1163.74501OpenAlexW2051638213MaRDI QIDQ1027882

Ragini Jindal, V. K. Agarwal, S. Chakraverty

Publication date: 30 June 2009

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-007-9077-3

zbMATH Keywords

orthogonal polynomialselliptic platenon-homogeneityGram Schmidt processmechanics of vibration

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (8)

The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review ⋮ Three-dimensional static and dynamic analysis of functionally graded elliptical plates, employing graded finite elements ⋮ Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment ⋮ On the vibration of laminated nonhomogeneous orthotropic shells ⋮ Vibration-based damage detection in a uniform strength beam using genetic algorithm ⋮ An analytical study on the nonlinear vibration of functionally graded beams ⋮ Influence of graded agglomerated CNTs on vibration of CNT-reinforced annular sectorial plates resting on Pasternak foundation ⋮ Vibrations of nonhomogeneous orthotropic rectangular plates with bilinear thickness variation resting on Winkler foundation

Cites Work

• Complex parametric vibrations of flexible rectangular plates
• Transverse vibration of completely-free elliptic and circular plates using orthogonal polynomials in the Rayleigh-Ritz method
• Natural frequencies for free vibration of nonhomogeneous elliptic and circular plates using two-dimensional orthogonal polynomials
• A hierarchical finite element for geometrically non-linear vibration of thick plates
• The equations of motion of a plate with residual stress
• Transverse vibrations of nonuniform rectangular orthotropic plates
• Vibrations of nonhomogeneous plates of variable thickness
• On the use of orthogonal polynomials in the rayleigh-ritz method for the study of transverse vibration of elliptic plates
• Transverse vibration of simply supported elliptical and circular plates using boundary characteristic orthogonal polynomials in two variables
• Boundary characteristic orthogonal polynomials in numerical approximation
• RECURRENCE SCHEME FOR THE GENERATION OF TWO-DIMENSIONAL BOUNDARY CHARACTERISTIC ORTHOGONAL POLYNOMIALS TO STUDY VIBRATION OF PLATES

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