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Global lumped‐parameter model with physical representation for unbounded medium
Author(s) -
Paronesso Antonio,
Wolf John P.
Publication year - 1995
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/eqe.4290240503
Subject(s) - representation (politics) , stiffness , matrix (chemical analysis) , degrees of freedom (physics and chemistry) , damping matrix , mathematical analysis , stiffness matrix , structural engineering , term (time) , mathematics , physics , engineering , materials science , quantum mechanics , politics , political science , law , composite material
A systematic procedure to construct a consistent global lumped‐parameter model consisting of springs, dashpots and possibly masses with frequency‐independent coefficients connecting the degrees of freedom of the nodes of any structure‐medium interface for the unbounded medium is presented. The dynamic‐stiffness matrix is first diagonalized which then permits each term to be modelled independently from the others. Physical insight is thus provided. Alternatively, the (symmetric) static‐stiffness and damping matrices and possibly mass matrix of the unbounded medium can be established directly.