Vibration analysis of moderate-thick plates with slowly varying thickness

DOI10.1007/BF01895982zbMath0602.73052MaRDI QIDQ1082135

Long-Yuan Li

Publication date: 1986

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

perturbation methodflexural vibrationarbitrary thickness functionsfree vibration frequenciesmoderate-thick rectangular platesslowly varying thickness

Mathematics Subject Classification ID

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

Related Items

A perturbation solution for free vibrations of cylindrical shells with ring-stiffeners, Free vibration and stability of moderate-thick cantilever plates, Natural frequencies of an inhomogeneous square thin plate

Cites Work

• Unnamed Item
• A perturbation method for certain nonlinear oscillators
• Periodic solutions of a class of hyperbolic equations containing a small parameter
• Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
• Application of the collocation method to vibration analysis of rectangular mindlin plates
• A comparison of lagrangian and serendipity mindlin plate elements for free vibration analysis
• Rayleigh-Ritz vibration analysis of Mindlin plates
• Vibration analysis of rectangular mindlin plates by the finite strip method
• A thick finite strip solution for static, free vibration and stability problems