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vol. 2, nr. 3 (2003)
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Computational scheme for the identification of the relaxation spectrum of viscoelastic plant materials
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Anna Stankiewicz, Krzysztof Gołacki
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Department of Technical Science, University of Agriculture, ul. Doświadczalna 50A, 20-280 Lublin |
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vol. 2 (2003), nr. 3,
pp. 627-638
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abstract:
A new algorithm for the direct recovery of a continuous spectrum of relaxation frequencies from time-measurements of relaxation modulus is proposed. The identification scheme is based on the least-squares approximation of the relaxation spectrum by finite serious of Laguerre polynomials. Tikhonov regularization is used to guarantee the stability of the scheme. The numerical realization of the scheme by using singular value decomposition (SVD) is discussed and the resulting computer algorithm is outlined. An analysis of the model accuracy is conducted both for perfect and noise measurements and the linear rate of convergence is proved. Numerical calculations on model data are presented and discussed.
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keywords:
relaxation spectrum, linear relaxation modulus, identification, Tikhonov regularization, Laguerre polynomials
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original in:
Polish
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