Small vibrations of an imperfect panel in the vicinity of a non-linear static state
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Article
Publication/Event/Conference Title
Journal of Sound and Vibration
Publication Status
Version of Record
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.
First Page
57
Last Page
63
DOI
10.1016/S0022-460X(87)80233-X
Publication Date
1-1-1987
Recommended Citation
Elishakoff, I.; Birman, V.; and Singer, J., "Small vibrations of an imperfect panel in the vicinity of a non-linear static state" (1987). Faculty Scholarship. 647.
https://digitalcommons.fau.edu/faculty_papers/647