Effects of Geometric Imperfections on Vibrations of Biaxially Compressed Rectangular Flat Plates

DOI10.1115/1.3167141zbMath0527.73044OpenAlexW2068438406MaRDI QIDQ3042559

Arthur W. Leissa, David Hui

Publication date: 1983

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cbfd451cd9f2077cbc99dfbc36e8c5cf6a8e05cf

zbMATH Keywords

finite deflectionsnonlinear von Kármán equationsabsence of in-plane forceseffects of geometric imperfections on vibration frequenciesin-plane uniaxial or biaxial compressioninfluence of initial geometric imperfectionsignificant increase in vibration frequencies may occur for imperfection amplitude of order of fraction of plate thicknesssimply supported flat plates

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (4)

A three-dimensional Airy stress function ⋮ Effects of geometric imperfections on vibration of compressed shear deformable laminated composite curved panels ⋮ Nonlinear vibrations of imperfect free-edge circular plates and shells ⋮ Effect of imperfections and damping on the type of nonlinearity of circular plates and shallow spherical shells

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