Estimating Periods of Vibration of Buildings with Coupled Shear Walls
Publication: Journal of Structural Engineering
Volume 131, Issue 12
Abstract
In this paper the resulting equation for natural vibration of buildings with coupled shear walls is proved to be the forth-order Sturm–Liouville differential equation, and a hand method for determining the first two periods of natural vibration of the buildings is presented. The method is accurate and simple, compared with other calculating methods. Once the structural parameters and of coupled shear wall building are computed, the periods of the buildings can be readily obtained. The value of the method is that it will allow a more consistent and accurate use of code formulas for calculating the earthquake induced maximum base shear in a building. Use of the method is economical with respect to both computer time and equipment, e.g., a hand calculator would suffice to handle the calculations of periods of the buildings. This paper is thought to be useful for the practicing engineer.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The research of this paper was supported financially by National Natural Science Foundation of China (NNSFC) under Grand No. 50578066 and Fijian Natural Science Foundation (FJNSF) under Grand No. E0410023. The writers thank the reviewers for their constructive comments.
References
Argyris, J. H. (1991). Dynamics of structures, Elsevier, New York.
Chaallal, O., Gauthier, D., and Malenfant, P. (1996). “Classification methodology for coupled shear walls.” J. Struct. Eng., 122(12), 1453–1458.
Goel, R. K., and Chopra, A. K. (1997). “Period formulas for moment-resisting frame buildings.” J. Struct. Eng., 123(11), 1454–1461.
Goel, R. K., and Chopra, A. K. (1998). “Period formulas for concrete shear wall buildings.” J. Struct. Eng., 124(4), 426–433.
Jennings, P. C., and Skattum, K. S. (1973). “Dynamic properties of planar, coupled walls.” Earthquake Eng. Struct. Dyn. 1, 387–405.
Smith, B. S., and Crowe, E. (1986). “Estimating periods of vibration of tall buildings.” J. Struct. Eng., 112(5), 1005–1019.
Tso, W. K., and Rutenberg, A. V. (1977). “Seismic spectral response of coupled shear walls.” J. Struct. Div. ASCE 103(1), 181–196.
Wallace, J. W., and Moehle, J. P. (1992). “Ductility and detailing requirements of bearing wall buildings.” J. Struct. Eng., 118(6), 1625–1644.
Information & Authors
Information
Published In
Copyright
© 2005 ASCE.
History
Received: Sep 9, 2003
Accepted: Feb 11, 2005
Published online: Dec 1, 2005
Published in print: Dec 2005
Notes
Note. Associate Editor: Satish Nagarajaiah
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.