Free vibration analysis of moderately thick functionally graded plates on elastic foundation using the extended Kantorovich method
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Publication:396395
DOI10.1007/s00419-012-0645-1zbMath1293.74173OpenAlexW2111491256MaRDI QIDQ396395
Publication date: 13 August 2014
Published in: Archive of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00419-012-0645-1
free vibration analysiselastic foundationsemi-analytical solutionfunctionally graded plateextended Kantorovich method
Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Inhomogeneity in solid mechanics (74E05)
Related Items (5)
New analytic bending solutions of rectangular thin plates with a corner point-supported and its adjacent corner free ⋮ New analytic solutions for static problems of rectangular thin plates point-supported at three corners ⋮ Analytical modeling of variable thickness cylindrical shallow shells using extended Kantorovich method ⋮ Hamiltonian system-based analytic modeling of the free rectangular thin plates' free vibration ⋮ New analytical free vibration solutions of orthotropic rectangular thin plates using generalized integral transformation
Cites Work
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- Stability and vibration of shear deformable plates -- first order and higher order analyses
- Application of the extended Kantorovich method to the vibration of clamped rectangular plates
- Free vibrations of a rectangular plate of variable thickness elastically restrained against rotation along three edges and free on the fourth edge
- Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation
- An extension of the Kantorovich method
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