A combined Kalman-fractional calculus method for the parameter identification of structures under arbitrarily correlated ambient noise

K. Runtemund, G. Cottone, G. Müller

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In civil engineering forced vibration tests on structures such as bridges, long-span frame structures or buildings are usual costly and time consuming as they require a specific excitation by impact hammers or heavy shakers in order to excite the modes of interest with sufficient energy. Therefore often ambient vibration tests based on the 'natural' excitation of the structure due to wind or traffic loads are used, permitting to continuously measure the structural response without interruption of its use during large time intervals. In order to study the dynamic behavior of structures computational efficient methods are required for: (i) the simulation of the loads and (ii) the estimation of the structural response to these loads using output-only model identification. In this paper, we introduce a technique in which, first, the load is simulated by the recently proposed 'H-fractional spectral moments' (H-FSM) decomposition, which allows to represent a stationary colored Gaussian process in closed form as output of a system of linear fractional differential equations. Then, the identification of the model parameters and the system response is based on the H-fractional extended Kalman filter algorithm, a time domain approach which allows to consider uncertainties in the model of the structure as well as the autocorrelation of the process noise. The method is applied to a single degree of freedom system excited by different autocorrelated loads in order to estimate the stiffness and damping parameters.

Original languageEnglish
Title of host publicationInternational Conference on Noise and Vibration Engineering 2012, ISMA 2012, including USD 2012
Subtitle of host publicationInternational Conference on Uncertainty in Structure Dynamics
PublisherKatholieke Universiteit Leuven
Pages2705-2719
Number of pages15
ISBN (Print)9781622768257
StatePublished - 2012
Event25th International Conference on Noise and Vibration engineering, ISMA2012 in conjunction with the 4th International Conference on Uncertainty in Structural Dynamics, USD 2012 - Leuven, Belgium
Duration: 17 Sep 201219 Sep 2012

Publication series

NameInternational Conference on Noise and Vibration Engineering 2012, ISMA 2012, including USD 2012: International Conference on Uncertainty in Structure Dynamics
Volume4

Conference

Conference25th International Conference on Noise and Vibration engineering, ISMA2012 in conjunction with the 4th International Conference on Uncertainty in Structural Dynamics, USD 2012
Country/TerritoryBelgium
CityLeuven
Period17/09/1219/09/12

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