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Free vibration of asymmetric shear wall‐frame buildings
Author(s) -
Balendra Thambirajah,
Swaddiwudhipong Somsak,
Quek SerTong,
Lee SengLip
Publication year - 1984
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.4290120505
Subject(s) - structural engineering , shear wall , vibration , galerkin method , shear (geology) , normal mode , displacement (psychology) , mathematics , geometry , engineering , physics , geology , finite element method , acoustics , petrology , psychology , psychotherapist
The Galerkin method of weighted residuals is used to determine the frequencies and associated mode shapes of asymmetric shear wall‐frame structures. The governing equations are formulated using the continuum approach by idealizing the structure as a shear‐flexure beam. Varying properties along the height of the building are considered. The effect of translational, rocking and torsional flexibilities of the foundation on the natural frequencies is also investigated. The method presented herein utilizes polynomial and transcendental displacement functions, and is found to be simple, versatile and efficient.