Parametric excitations of linear systems having many degrees of freedom | Zendy

A. H. Nayfeh | Zendy; Dean T. Mook | Zendy

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Parametric excitations of linear systems having many degrees of freedom

Author(s) -

A. H. Nayfeh,

Dean T. Mook

Publication year - 1977

Publication title -

the journal of the acoustical society of america

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.619

H-Index - 187

eISSN - 1520-8524

pISSN - 0001-4966

DOI - 10.1121/1.381535

Subject(s) - degrees of freedom (physics and chemistry) , parametric statistics , excited state , yield (engineering) , mathematics , order (exchange) , physics , mathematical analysis , atomic physics , quantum mechanics , thermodynamics , statistics , finance , economics

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.

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