Exact solutions for the in-plane vibrations of rectangular Mindlin plates using Helmholtz decomposition

DOI10.1007/s00707-010-0342-5zbMath1398.74141OpenAlexW2047520706MaRDI QIDQ608990

A. R. Moradi, Sh. Hosseini-Hashemi

Publication date: 29 November 2010

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

Full work available at URL: https://doi.org/10.1007/s00707-010-0342-5

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Explicit solutions of dynamical problems in solid mechanics (74H05)

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Uses Software

• Mathematica

Cites Work

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• Exact solutions for buckling and vibration of stepped rectangular Mindlin plates
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• Exact solutions for the free in-plane vibrations of rectangular plates
• Buckling or transverse deflections of unsymmetrically laminated plates subjected to in-plane loads
• Buckling and free vibration of elastic plates using simple and mixed shear deformation theories
• Vibrations of Mindlin rectangular plates with elastically restrained edges using static Timoshenko beam functions with the Rayleigh-Ritz method.
• Closed and approximate analytical solutions for rectangular Mindlin plates