Influence of transverse shear and rotatory inertia on axisymmetric vibrations of polar orthotropic annular plates of parabolically varying thickness

zbMath0487.73064MaRDI QIDQ1165640

U. S. Gupta, Roshan Lal

Publication date: 1982

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

momentsrotatory inertiamode shapesfrequenciescoupled differential equationsfree axisymmetric vibrationstransverse motionparabolically varying thicknessnonuniform thicknessshear deformationsmethod of Chebyshev polynomialsMindlin's shear theorypolar orthotropic annular plates

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Approximation by polynomials (41A10)

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