ISSN:
1573-269X
Keywords:
perturbation techniques
;
multiple scales
;
higher-order spectra
;
bispectra
;
parametric identification
;
nonlinear systems
;
structural vibrations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Perturbation techniques and spectral moments are combined tocharacterize and quantify the damping and nonlinear parameters of thefirst mode of a three-beam two-mass frame. The frame is excitedharmonically near twice its lowest natural frequency. The response ismodeled with a second-order nonlinear equation with quadratic and cubicterms and linear and quadratic damping terms. The method of multiplescales is used to obtain a second-order approximate solution for thismodel. Bispectral analysis is used to quantify the level of couplingbetween modes and measure their phase difference. The amplitudes andphase difference between the excitation and response mode with differentfrequencies are substituted into the approximate solution to determinethe damping and nonlinear parameters.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008335522973
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