A GENERALIZED BOLOTIN'S METHOD FOR STABILITY LIMIT DETERMINATION OF PARAMETRICALLY EXCITED SYSTEMS

A boundary tracing method is presented for the construction of stability charts for non-canonical parametrically excited systems. The method is an extension, so as to cover the combination resonances, of the well known Bolotin's method, and reduces the boundary tracing problems into an eigenval...

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Bibliographic Details
Published in:Journal of sound and vibration 1998-10, Vol.216 (5), p.851-863
Main Author: Turhan, O
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
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Summary:A boundary tracing method is presented for the construction of stability charts for non-canonical parametrically excited systems. The method is an extension, so as to cover the combination resonances, of the well known Bolotin's method, and reduces the boundary tracing problems into an eigenvalue analysis problem of some special matrices.
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1998.1726