Reexamination of the Vibrational Period of Coupled Shear Walls by Differential Transformation
Publication: Journal of Structural Engineering
Volume 135, Issue 11
Abstract
In multistory buildings, coupled shear walls are frequently used as the main lateral load resisting system, the seismic design of which requires some knowledge of their periods of vibration. Although the vibrational characteristics of coupled shear walls have been extensively studied since the 1970’s, most of the studies were based on approximations resulting in varying degree of accuracies and complexities. Methods proposed by these studies ranged from the Rayleigh’s quotient to the Dunkerley’s formula, to the Galerkin’s method of weighted residuals, and to the solution of the Sturm-Louiville type differential equation. A review of the literature, including a recent publication, shows conflicting results regarding the accuracy and implementation of these methods. With this as motivation, this paper re-examines the vibrational characteristics of coupled shear walls and compares their periods of vibration with previous methods when available. The governing equation, established on the basis of replacing the coupling beams by an equivalent laminae medium, is solved as an eigenvalue problem using the recently developed technique of differential transformation. The convergence of solutions, which is important for numerical implementation, is investigated as part of this study.
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Acknowledgments
The research conducted in this paper was partly supported by the China Scholarship Council for the second writer’s visit to the University of California, Davis. Their financial support is gratefully acknowledged.
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Information & Authors
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Published In
Journal of Structural Engineering
Volume 135 • Issue 11 • November 2009
Pages: 1330 - 1339
Copyright
© 2009 ASCE.
History
Received: Dec 4, 2007
Accepted: Apr 3, 2009
Published online: Oct 15, 2009
Published in print: Nov 2009
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