Cumulant Based Modal Parameter Extraction of Structures

[+] Author and Article Information
T. P. Runarsson, M. T. Jonsson, G. R. Jonsson

Department of Mechanical Engineering, University of Iceland, Hjardarhagi 2-6, 107 Reykjavik, Iceland

J. Vib. Acoust 120(2), 378-383 (Apr 01, 1998) (6 pages) doi:10.1115/1.2893841 History: Received March 01, 1996; Revised October 01, 1996; Online February 26, 2008


This paper describes a nonlinear deterministic estimator based on cumulants for the extraction of modal parameters. The signal analysed is composed of multiple exponentially damped real sinusoids in unknown additive noise. Cumulants reduce significantly the effects of noise and are also an efficient way of compressing the sampled data. In modal analysis a sensor may be unable to detect some modes of vibration due to its location. Cumulants estimated from real data sampled at different locations and instances are added directly together. This average cumulant function will contain the eigenvalues for all excited modes of vibration. Finding the frequencies and corresponding damping factors is therefore reduced to solving a single average cumulant function. The performance of the proposed estimator is examined and compared with the Eigensystem Realization Algorithm via simulations.

Copyright © 1998 by The American Society of Mechanical Engineers
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