Damping identification using perturbation techniques and higher-order spectra

J. Fung, M. R. Hajj, A. H. Nayfeh, S. O.F. Fahey

Research output: Contribution to journalConference articlepeer-review

Abstract

Perturbation techniques and spectral moments are combined to characterize and quantify the damping and nonlinear parameters of the first mode of a three-beam two-mass frame. The frame is excited harmonically near twice its lowest natural frequency. The response is modeled with a second-order nonlinear equation with quadratic and cubic terms and linear and quadratic damping terms. The method of multiple scales is used to obtain a second-order approximate solution for this model. Bispectral analysis is used to quantify the level of coupling between modes and measure their phase difference. The amplitudes and phase difference of modes with different frequencies are substituted into the approximate solution to determine the damping and nonlinear parameters.

Original languageEnglish
Pages (from-to)1447-1453
Number of pages7
JournalProceedings of the International Modal Analysis Conference - IMAC
Volume2
StatePublished - 1998
EventProceedings of the 1998 16th International Modal Analysis Conference, IMAC. Part 1 (of 2) - Santa Barbara, CA, USA
Duration: 2 Feb 19985 Feb 1998

Fingerprint

Dive into the research topics of 'Damping identification using perturbation techniques and higher-order spectra'. Together they form a unique fingerprint.

Cite this