Earthquake analysis of isotropic asymmetric multistory buildings | Zendy

Athanatopoulou A. M. | Zendy; Makarios T. | Zendy; Anastassiadis K. | Zendy

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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.

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