Parametric excitations of linear systems having many degrees of freedom
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TR Number
Date
1977-08-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Acoustical Society of America
Abstract
The method of multiple scales is used to analyze parametrically excited, linear systems having many degrees of freedom and distinct natural frequencies. Explicit second-order expressions are obtained for the characteristic exponents which yield the transition curves. Various combination resonances are treated. The results are applied to the buckling of free-clamped columns under the influence of sinusoidally varying axial loads.
Description
Keywords
Buckling, Frequency analyzers
Citation
Nayfeh, A. H., & Mook, D. T. (1977). Parametric excitations of linear systems having many degrees of freedom. Journal of the Acoustical Society of America, 62(2), 375-381. doi: 10.1121/1.381535