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Coupled vibration of tall building structures
Author(s) -
Kuang J. S.,
Ng S. C.
Publication year - 2004
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.253
Subject(s) - vibration , structural engineering , computation , eigenvalues and eigenvectors , normal mode , galerkin method , mathematics , engineering , finite element method , algorithm , acoustics , physics , quantum mechanics
Free vibration analysis is presented for general tall building structures, which may consist of any combination of frames, shear walls, structural cores and coupled walls. Emphasis of the analysis is placed on the coupled lateral–torsional vibration characteristic of the structures. Based on the continuum technique and D'Alembert's principle, the governing equation of free vibration and corresponding eigenvalue problem are derived. By applying the Galerkin technique, a generalized method of solution is proposed for the analysis of coupled vibration of general tall building structures. Based on the proposed method, a computation procedure is presented for predicting the natural frequencies and associated mode shapes of the structures in coupled vibration. Numerical investigation is conducted to validate the simplicity and accuracy of the proposed method. It has been shown that the proposed analysis provides an effective way, particularly at the preliminary design stage, for evaluating the vibration behaviour of tall buildings. Copyright © 2004 John Wiley & Sons, Ltd.