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Unit‐impulse response matrix of unbounded medium by finite‐element based forecasting
Author(s) -
Song Chongmin,
Wolf John P.
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620380702
Subject(s) - finite element method , impulse response , mathematical analysis , dimensionless quantity , mathematics , substructure , impulse (physics) , boundary (topology) , boundary value problem , matrix (chemical analysis) , geometry , physics , structural engineering , mechanics , engineering , classical mechanics , materials science , composite material
In this novel forecasting algorithm to calculate the unit‐impulse response matrix of an unbounded medium to analyse dynamic medium‐structure interaction in the time domain based on the substructure method, a finite‐element region adjacent to the structure–medium interface consisting of two or three rows only is introduced. Its exterior boundary is chosen to be similar to the interior boundary which coincides with the structure–medium interface. At similar boundaries of the unbounded medium the unit‐impulse response matrices are a function of the dimensionless time. The unit‐impulse response matrix at the exterior boundary can be forecasted from that at the interior boundary via this dimensionless time by taking advantage of the time delay of waves propagating between these two boundaries. The forecasting algorithm based solely on the finite‐element method is exact in the finite‐element sense in modelling the unbounded medium.