Output-only identification and dynamic analysis of time-varying mechanical structures under random excitation: A comparative assessment of parametric methods |
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| Authors: | M.D. Spiridonakos |
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| Affiliation: | Stochastic Mechanical Systems & Automation (SMSA) Laboratory, Department of Mechanical & Aeronautical Engineering, University of Patras, GR 265 00 Patras, Greece |
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| Abstract: | This article addresses the problem of parametric time-domain identification and dynamic analysis for time-varying (TV) mechanical structures under unobservable random excitation. The methods presented are based on time-dependent autoregressive moving average (TARMA) models, and are classified according to the mathematical structure imposed on the TV parameter evolution as unstructured parameter evolution, stochastic parameter evolution, and deterministic parameter evolution. The features and relative merits of each class are outlined. A representative method from each is then assessed through its application to the identification and dynamic analysis of a laboratory TV structure consisting of a beam with a mass moving on it. The results are mutually compared and contrasted to those obtained through “frozen-configuration” (multiple experiment) baseline identification. |
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| Keywords: | 2SLS, two stage least squares (method) APD, aggregate parameter deviation AR, autoregressive ARMA, autoregressive moving average BIC, Bayesian information criterion ELS, extended least squares FS-TAR, functional series TAR (model) FS-TARMA, functional series TARMA (model) KF, Kalman filter LMS, linear multi stage (method) MA, moving average ML, maximum likelihood (method) NID, normally independently distributed ODE, ordinary differential equation OLS, ordinary least squares P-A, polynomial-algebraic (method) PSD, power spectral density RML, recursive maximum likelihood (method) RSS, residual sum of squares SP-TARMA, smoothness priors TARMA (model) STFT, short-time Fourier transform TAR, time-dependent AR (model) TARMA, time-dependent ARMA (model) TV, time-varying (model) TI, time-invariant (model) UPE-TARMA, unstructured parameter evolution TARMA (model) |
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