Statistical properties of nonlinear mode spectrum for large amplitude forced vibration systems

A method to estimate the statistical properties of a geometrically nonlinear mode spectrum for large amplitude forced vibration systems is presented. It is shown here that this technique is readily applicable to geometrically nonlinear small strain problems in which the equations of motion of struct...

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Bibliographic Details
Published in:Computers & structures 1995-09, Vol.56 (6), p.897-902
Main Authors: Ma, Aijun, Chen, Suhuan, Liu, Zhongsheng
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 method to estimate the statistical properties of a geometrically nonlinear mode spectrum for large amplitude forced vibration systems is presented. It is shown here that this technique is readily applicable to geometrically nonlinear small strain problems in which the equations of motion of structures are derived using the finite element method. A general formulation for problems of this type is presented. The efficiency of the method is illustrated by its application to a nonlinear vibration of an elastic beam.
ISSN:0045-7949
1879-2243
DOI:10.1016/0045-7949(94)00582-N