Small Vibrations of an Imperfect Panel in the Vicinity of a Non-Linear Static State

Author

Isaac Elishakoff
Victor Birman, Missouri University of Science and TechnologyFollow
J. Singer

Abstract

Non-linear static deformation, combined with small vibrations in its vicinity, of an imperfect cylindrical panel under axial loading, is studied within a single-degree-of-freedom treatment. The frequency of the small vibrations vanishes at the limit load. This conclusion is proved to be valid for a system with any other non-linearity as well. Special emphasis is placed on the influence of initial imperfections on the vibration frequencies. © 1987 Academic Press Inc. (London) Limited.

Recommended Citation

I. Elishakoff et al., "Small Vibrations of an Imperfect Panel in the Vicinity of a Non-Linear Static State," Journal of Sound and Vibration, Elsevier, Jan 1987.

The definitive version is available at https://doi.org/10.1016/S0022-460X(87)80233-X

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0022-460X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1987 Elsevier, All rights reserved.

Publication Date

01 Jan 1987