The influence of mid-plane normal stress and cross section deformation in free vibrating plates

DOI10.1016/0093-6413(83)90022-8zbMath0508.73042OpenAlexW2024283629MaRDI QIDQ1838356

H. Irretier

Publication date: 1983

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(83)90022-8

zbMATH Keywords

stress distributionsin-plane displacementsNewton-Raphson iteration methodeigenfrequencieseigenformsnormal stressestwo-dimensional plate theoryinserting double Fourier series solutions into different plate equationssimply supported, free vibrating plate

Mathematics Subject Classification ID

Newton-type methods (49M15) Spectral theory and eigenvalue problems for partial differential equations (35P99) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

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