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PROPERTY MATRICES IDENTIFICATION OF UNBOUNDED MEDIUM FROM UNIT-IMPULSE RESPONSE FUNCTIONS USING LEGENDRE POLYNOMIALS: FORMULATION

✍ Scribed by PARONESSO, A.; WOLF, J. P.

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 902 KB
Volume: 25
Category: Article
ISSN: 0098-8847
DOI: 10.1002/(sici)1096-9845(199611)25:11<1231::aid-eqe610>3.0.co;2-r

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✦ Synopsis

A systematic procedure to construct the (symmetric) static-stiffness, damping and mass matrices representing the unbounded medium is presented addressing the unit-impulse response matrix corresponding to the degrees of freedom on the structure-medium interface. The unit-impulse response matrix is first diagonalized which then permits each term to be modelled independently from the others using expansions in a series of Legendre polynomials in the time domain. This leads to a rational approximation in the frequency domain of the dynamic-stiffness coefficient. Using a lumpedparameter model which provides physical insight the property matrices are constructed.

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