On stability of axisymmetric forced vibration of imperfect cylindrical shells

DOI10.1007/BF00944926zbMath0607.73061MaRDI QIDQ1085677

Victor Birman

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

forced vibrationscylindrical shellunstableaxisymmetric and asymmetric perturbationsaxisymmetric initial imperfectionhydrodynamic pulsating pressurelinearized with respect to perturbationsnonlinear von Kármán-Donnell equationsstability of steady state harmonic response

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Membranes (74K15)

Cites Work

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• Nonlinear vibration of beams and rectangular plates
• Stability of large amplitude forced motion of a simply supported beam
• A method of stability analysis for non-linear vibration of beams
• Influence of initial geometric imperfections on vibrations of thin circular cylindrical shells
• A multiple degree-of-freedom approach to nonlinear beam vibrations

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