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Earthquake analysis of isotropic asymmetric multistory buildings
Author(s) -
Athanatopoulou A. M.,
Makarios T.,
Anastassiadis K.
Publication year - 2006
Publication title -
the structural design of tall and special buildings
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.895
H-Index - 43
eISSN - 1541-7808
pISSN - 1541-7794
DOI - 10.1002/tal.304
Subject(s) - isotropy , planar , structural engineering , stiffness , modal , orientation (vector space) , excitation , modal analysis , mathematics , geometry , physics , engineering , computer science , materials science , finite element method , optics , computer graphics (images) , quantum mechanics , polymer chemistry
Isotropic multistory buildings are the ones characterized by the property: all load‐resisting planar frames have proportional lateral stiffness matrices. In the present paper it is proved that the modal analysis of an N ‐story isotropic asymmetric, torsionally coupled, building (a problem of order 3 N ) can be separated into two independent sub‐problems: (a) a sub‐problem that corresponds to a single‐story asymmetric, torsionally coupled, building (a problem of order 3); and (b) a sub‐problem that corresponds to an N ‐story, torsionally uncoupled, planar frame (a problem of order N ). It is also demonstrated that the orientation of peak modal seismic forces of the building is independent of the orientation of seismic excitation, which affects only their size. The separation provides a better insight into the structural behavior of asymmetric multistory buildings under earthquake ground motion. Copyright © 2006 John Wiley & Sons, Ltd.