A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation

DOI10.1007/s11012-015-0345-3zbMath1344.74028OpenAlexW2297564695MaRDI QIDQ310571

Xianjie Shi, Qingshan Wang, Dong-Yang Shi

Publication date: 8 September 2016

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-015-0345-3

zbMATH Keywords

general boundary conditionsfree vibrationelastic foundationsinternal line supportsmoderately thick orthotropic rectangular platemodified Fourier series

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (4)

New Fourier series expansion for free vibration problem of orthotropic thin plates with two adjacent edges elastically restrained against rotation and their opposite corner free ⋮ Influences of two-parameter elastic foundations on nonlinear free vibration of anisotropic shallow shell structures with variable parameters ⋮ Free vibration of four-parameter functionally graded moderately thick doubly-curved panels and shells of revolution with general boundary conditions ⋮ A unified solution for free in-plane vibration of orthotropic circular, annular and sector plates with general boundary conditions

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