Non-parametric identification of viscoelastic materials from wave propagation experiments

Authors:
M. Mossberg;L. HillströM;T. SöDerströM
Affiliations:
Department of Systems and Control, Information Technology, Uppsala University, P.O. Box 27, SE-751 03 Uppsala, Sweden;íngström Laboratory, Uppsala University, P.O. Box 534, SE-751 21 Uppsala, Sweden;Department of Systems and Control, Information Technology, Uppsala University, P.O. Box 27, SE-751 03 Uppsala, Sweden
Venue:
Automatica (Journal of IFAC)
Year:
2001

Citing 0
Cited 5

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Automatica (Journal of IFAC)
Brief paper: Structure testing of wave propagation models used in identification of viscoelastic materials

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Accuracy analysis of a covariance matching approach for identifying errors-in-variables systems

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Improved estimation performance using known linear constraints

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Computationally efficient estimation of wave propagation functions from 1-D wave experiments on viscoelastic materials

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Abstract

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.