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PROPERTY MATRICES IDENTIFICATION OF UNBOUNDED MEDIUM FROM UNIT‐IMPULSE RESPONSE FUNCTIONS USING LEGENDRE POLYNOMIALS: FORMULATION
Author(s) -
PARONESSO A.,
WOLF J. P.
Publication year - 1996
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/(sici)1096-9845(199611)25:11<1231::aid-eqe610>3.0.co;2-r
Subject(s) - legendre polynomials , impulse response , mathematics , mathematical analysis , impulse (physics) , time domain , matrix (chemical analysis) , associated legendre polynomials , orthogonal polynomials , frequency domain , computer science , physics , classical orthogonal polynomials , classical mechanics , gegenbauer polynomials , materials science , composite material , computer vision
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 lumped‐parameter model which provides physical insight the property matrices are constructed.