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Non-parametric identification of viscoelastic materials from wave propagation experiments
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. AUTOMATIC CONTROL.
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Technology, Department of Engineering Sciences.
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. AUTOMATIC CONTROL.
2001 (English)In: AUTOMATICA, ISSN 0005-1098, Vol. 37, no 4, 511-521 p.Article in journal (Refereed) Published
Abstract [en]

We investigate how the frequency-dependent wave propagation coefficient and complex modulus for a linearly viscoelastic material can be estimated from wave propagation experiments. The strains at different sections of a bar specimen are measured as functions of time. The time series are transformed into the frequency domain, where a non-parametric identification is made. A thorough analysis of the quality of the non-parametric estimate is made, in which approximate expressions for the covariance matrices of the wave propagation coefficient and the complex modulus are derived. The validity of these expressions are confirmed by numerical studies and real experiments.

Place, publisher, year, edition, pages
2001. Vol. 37, no 4, 511-521 p.
Keyword [en]
distributed system; material functions; non-parametric identification; frequency domain data; LEAST-SQUARES PROBLEMS; PSEUDO-INVERSES; COMPLEX MODULUS; BAR
Identifiers
URN: urn:nbn:se:uu:diva-36536OAI: oai:DiVA.org:uu-36536DiVA: diva2:64435
Note
Addresses: Mossberg M, Uppsala Univ, Dept Syst & Control Informat Technol, POB 27, SE-75103 Uppsala, Sweden. Uppsala Univ, Dept Syst & Control Informat Technol, SE-75103 Uppsala, Sweden. Uppsala Univ, Angstrom Lab, SE-75121 Uppsala, Sweden.Available from: 2007-02-08 Created: 2007-02-08 Last updated: 2011-01-13

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