INFLUENCE OF INITIAL IMPERFECTIONS ON NONLINEAR FREE VIBRATION OF ELASTIC BARS.

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Conference Proceeding

Publication Status

Version of Record

Abstract

In the case of small vibrations in the vicinity of the nonlinear static state the pattern is considerably affected by initial imperfections. A simple model for linear vibration in axially-compressed structures is extended to nonlinear vibration of an imperfect bar. The closed-form solution is obtained for the natural frequencies in presence of the initial imperfections. In the particular case of a perfect bar the present solution reduces to an exact expression in terms of elliptic functions for a bar, with a sinusoidal vibrational mode along the axes.

First Page

277

Last Page

283

Publication Date

12-1-1984

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