Large amplitude free vibration analysis of square plates resting on elastic foundation: A simple closed-form solutions
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Publication:2856586
DOI10.1002/ZAMM.201200126zbMath1274.74167OpenAlexW2031213163MaRDI QIDQ2856586
Publication date: 29 October 2013
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.201200126
closed-form solutionsWinkler foundationRayleigh-Ritz methodlarge amplitude vibrationsquare platescoupled displacement fieldsvon-Kármán geometric non-linearity
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Cites Work
- Nonlinear vibration of hybrid laminated plates resting on elastic foundations in thermal environments
- Large amplitude free vibration of shear deformable laminated composite annular sector plates by a sector \(p\)-element
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- Nonlinear Vibration of Thin Elastic Plates, Part 1: Generalized Incremental Hamilton’s Principle and Element Formulation
- A finite element method for nonlinear forced vibrations of rectangular plates
- Effect of longitudinal or inplane deformation and inertia on the large amplitude flexural vibrations of slender beams and thin plates
- A simplified approach to the large amplitude vibration of plates and membranes
- Reinvestigation Of Non-linear Vibrations Of Simply Supported Rectangular Cross-ply Plates
- Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method—I: The fundamental mode of isotropic plates
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