On Stability of Axisymmetric Forced Vibration of Imperfect Cylindrical Shells

Author

Victor Birman, Missouri University of Science and TechnologyFollow

Abstract

This paper presents the analysis of forced vibrations of a cylindrical shell with axisymmetric initial imperfection subjected to hydrodynamic pulsating pressure. The stability of steady state harmonic response is studied with respect to both axisymmetric and asymmetric perturbations. The analysis of stability is based on the nonlinear von Kármán-Donnell equations linearized with respect to perturbations. An interesting conclusion of this paper is that although the axisymmetric steady state motion is linear it can be unstable due to asymmetric perturbations. © 1987 Birkhäuser Verlag.

Recommended Citation

V. Birman, "On Stability of Axisymmetric Forced Vibration of Imperfect Cylindrical Shells," ZAMP Zeitschrift für angewandte Mathematik und Physik, Springer Verlag, Jan 1987.

The definitive version is available at https://doi.org/10.1007/BF00944926

Department(s)

Mechanical and Aerospace Engineering

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1987 Springer Verlag, All rights reserved.

Publication Date

01 Jan 1987