An approximate solution of the vibration of plates

DOI10.1007/BF00886720zbMath0596.73034OpenAlexW2042972819MaRDI QIDQ3730091

A. G. Gorshkov, I. Yu. Kolesnikov

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00886720

zbMATH Keywords

general solutionsuperposition principlemethod of linesHelmholtz equationcorner pointsplatesrectangular regionapproximate formulationcharacteristic vibrationsfinite (discrete) Fourier seriesfree polygonal trilayer platesinterpolation between pointsspherical shells of small curvatureuniform membrane

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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