Triply Coupled Vibration of Asymmetric Wall-Frame Structures
Publication: Journal of Structural Engineering
Volume 126, Issue 8
Abstract
This paper presents an analysis of the triply coupled vibration of asymmetric wall-frame structure in tall buildings. The governing equation of the natural vibration and its corresponding eigenvalue problem, which is a set of equations for flexural-shear vibrations in laterally orthogonal directions coupled with a warping St. Venant torsional vibration, are developed. By applying the Galerkin method, a generalized approximate approach is developed for the analysis of coupled vibration and for determining the natural frequencies and associated mode shapes of the structure in triply coupled vibration. The results of the proposed method for the example structure show good agreement with those of the FEM analysis. The proposed method has been shown to provide a simple and efficient, yet accurate, means of coupled vibration analysis of asymmetric tall building structures.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Balendra, T., Swaddiwudhipong, S., Quek, S. T., and Lee, S. P. (1984). “Free vibration of asymmetric shear wall-frame buildings.” Earthquake Engrg. Struct. Dyn., 12, 629–650.
2.
Basu, A. K., Nagpal, A. K., and Nagar, A. K. (1982). “Dynamic characteristics of frame-wall systems.”J. Struct. Div., ASCE, 108(6), 1201–1218.
3.
Basu, A. K., Nagpal, A. K., and Kaul, S. (1984). “Charts of seismic design of frame-wall systems.”J. Struct. Div., ASCE, 110(1), 31–46.
4.
Chopra, A. K. (1995). Dynamics of structures: Theory and applications to earthquake engineering, Prentice-Hall, Englewood Cliffs, N.J.
5.
Kuang, J. S., and Ng, S. C. (1999). “Coupled vibration analysis of asymmetric structural cores in tall buildings.” Res. Rep., Dept. of Civ. Engrg., Hong Kong University of Science and Technology, Hong Kong.
6.
Meirovitch, L. (1986). Elements of vibration analysis, 2nd Ed. McGraw-Hill, New York.
7.
Ng, S. C. ( 1999). “Coupled vibration of asymmetric structures in tall buildings.” PhD thesis, Hong Kong University of Science and Technology, Hong Kong.
8.
Reinhorn, A., Rutenberg, A., and Gluck, J. (1977). “Dynamic torsional coupling in asymmetric building structures.” Builds. and Envir., 12, 251–261.
9.
Rutenberg, A., Tso, W. K., and Heidebrecht, A. C. (1977). “Dynamic properties of asymmetric wall-frame structures.” Earthquake Engrg. Struct. Dyn., 5, 41–51.
10.
Stafford Smith, B., and Coull, A. (1991). Tall building structures: Analysis and design, Wiley, New York.
11.
Stafford Smith, B., and Crowe, E. (1986). “Estimating periods of vibration of tall buildings.”J. Struct. Engrg., 112(5), 1005–1019.
12.
Wang, G. Y. (1978). Vibrations of building structures, Press of Sci. and Technol., Beijing.
13.
Wilson, E. L., Hollings, J. P., and Dovey, H. H. (1995). ETABS version 6: Three-dimensional analysis of building systems, Computers and Structures Inc., Berkeley, Calif.
14.
Zalka, K. A. (1995). “Dynamic analysis of regular multistorey buildings.” Proc., 5th World Congr. on Tall Builds., Amsterdam, 1423–1445.
Information & Authors
Information
Published In
History
Received: Oct 25, 1999
Published online: Aug 1, 2000
Published in print: Aug 2000
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.