Nonlinear beam-type vibrations of long cylindrical shells

DOI10.1016/0020-7462(87)90025-4zbMath0614.73063OpenAlexW2037186044MaRDI QIDQ1820001

Charles W. Bert, Victor Birman

Publication date: 1987

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(87)90025-4

zbMATH Keywords

closed-form solutionflatteningelliptic integralsstretchingnonlinear effectuniform internal pressurebending moment-curvatureclamped at the endscubic differential equationeffect of ovalizationelastic axial restraintfree beam-type vibrationfrequency of the solutioninitially circular cross sectionslong cylindrical shelluniform axial tensor

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Membranes (74K15)

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