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Non‐classically damped random vibration of shear building with damages
Author(s) -
Bryja D.,
Mironowicz W.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781509
Subject(s) - shearing (physics) , damages , structural engineering , impulse (physics) , vibration , stiffness , shear (geology) , materials science , engineering , physics , composite material , acoustics , classical mechanics , political science , law
A shear building with damages in its columns, dynamically loaded with machines viscoelastically supported on floors, is considered in the paper. Two kinds of damages are taken into account: the first one is most often caused by the corrosion process, that reduces the bending stiffness of columns ‐ usually at the place where piles touch the floors; the second one is caused by exceeding the shearing strength and occurs in the form of horizontal or slant cracks. It is assumed that both the parameters of damages and dynamic excitation are random. The solution is formulated in the correlation theory sphere, by using the influence function of the MDOF system, which is similar to the well known impulse response function related to the SDOF system. Some results of numerical analysis are presented.