An exact, closed form, solution for the flexural vibration of a thin annular plate having a parabolic thickness variation

DOI10.1016/0022-460X(80)90467-8zbMath0422.73065OpenAlexW2054642154MaRDI QIDQ3856243

Harry Donald Conway, T. A. Lenox

Publication date: 1980

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(80)90467-8

zbMATH Keywords

transverse vibrationsthin annular plateparabolic thickness variationaeolotropicexact, closed form, solutionnumerical values of frequency parameterthree different combinations of simple boundary conditionstypical mode shapes

Mathematics Subject Classification ID

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

Related Items (4)

Exact solutions for axisymmetric flexural free vibrations of inhomogeneous circular Mindlin plates with variable thickness ⋮ Vibrations of Beams and Plates: Review of First Closed-Form Solutions in the Past 250 Years ⋮ Three-dimensional vibrations of annular thick plates with linearly varying thickness ⋮ A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients

This page was built for publication: An exact, closed form, solution for the flexural vibration of a thin annular plate having a parabolic thickness variation