On the use of orthogonal polynomials in the rayleigh-ritz method for the study of transverse vibration of elliptic plates

DOI10.1016/0045-7949(92)90277-7zbMath0775.73350OpenAlexW2079661757MaRDI QIDQ4039554

Publication date: 9 June 1993

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(92)90277-7

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Optimization of other properties in solid mechanics (74P10)

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Regression-based weight generation algorithm in neural network for estimation of frequencies of vibrating plates ⋮ The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review ⋮ Natural frequencies for free vibration of nonhomogeneous elliptic and circular plates using two-dimensional orthogonal polynomials ⋮ Boundary characteristic orthogonal polynomials in numerical approximation ⋮ Generalized power-law exponent based shear deformation theory for free vibration of functionally graded beams ⋮ An efficient quadrature method for vibration analysis of thin elliptical plates with continuous and discontinuous edge conditions ⋮ Effect of elastic foundation on the vibration of orthotropic elliptic plates with varying thickness ⋮ Effect of non-homogeneity on natural frequencies of vibration of elliptic plates ⋮ Free vibration analysis of plates using least-square-based finite difference method

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