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Shock and Vibration
Volume 3, Issue 2, Pages 99-105

Equivalent Modal Damping Ratios of a Composite Tube-Type Tall Building to Dynamic Wind Loading

B.C. Huang,1 K.M. Lam,2 A.Y.T. Leung,2 and Y.K. Cheung2

1Department of Engineering Mechanics, Tongji University, Shanghai 20092, China
2Department of Civil and Structural Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong

Received 8 August 1994; Accepted 14 September 1995

Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This article discusses computing methods of the equivalent modal damping ratio for a composite tube-type tall building. The equivalent damping ratio of a composite structure under wind-induced vibrations encompasses the combined effects from the different values of damping, mass, and stiffness of the external and internal tubes. A detailed method incorporating Rayleigh damping and the transfer matrix method is proposed for the determination of the equivalent modal damping ratio. A simplified method for engineering applications is also proposed. Results for a 40-story building are presented exemplifying the computation and relationships between the properties of the external and internal tubes.