Abstract

Stay cables, such as are used in cable-stayed bridges, are prone to vibration due to their low inherent damping characteristics. Transversely attached passive viscous dampers have been implemented in many bridges to dampen such vibration. Several studies have investigated optimal passive linear viscous dampers; however, even the optimal passive device can only add a small amount of damping to the cable when attached a reasonable distance from the cable/deck anchorage. This paper investigates the potential for improved damping using semiactive devices. The equations of motion of the cable/damper system are derived using an assumed modes approach and a control-oriented model is developed. The control-oriented model is shown to be more accurate than other models and facilitates low-order control designs. The effectiveness of passive linear viscous dampers is reviewed. The response of a cable with passive, active, and semiactive dampers is studied. The response with a semiactive damper is found to be dramatically reduced compared to the optimal passive linear viscous damper for typical damper configurations, thus demonstrating the potential benefits using a semiactive damper for absorbing cable vibratory energy.

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Acknowledgments

The writers gratefully acknowledge the partial support of this research by the National Science Foundation, under Grant Nos. NSFCMS 95-00301, NSFCMS 95-28083, NSFCMS 99-00234 (Dr. S.C. Liu, Program Director), and CAREER Award CMS00-94030, and the LORD Corporation. The genesis of this work occurred while Professor Fujino was the visiting Melchor Chaired Professor of Civil Engineering at the University of Notre Dame, Fall 1997, and while Professor Johnson was a Visiting Research Assistant Professor of Civil Engineering at the University of Notre Dame, Fall 1997–Summer 1999.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 133Issue 1January 2007
Pages: 1 - 11

History

Received: Dec 21, 1999
Accepted: Jun 22, 2006
Published online: Jan 1, 2007
Published in print: Jan 2007

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Notes

Note. Associate Editor: Arif Masud

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Erik A. Johnson, A.M.ASCE [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Southern California, Los Angeles, CA 90089. E-mail: [email protected]
Greg A. Baker
Formerly, Graduate Research Assistant, Dept. of Civil Engineering and Geological Sciences, Univ. of Notre Dame, Notre Dame, IN 46556.
B. F. Spencer Jr., M.ASCE [email protected]
Newmark Endowed Chair in Civil Engineering, Univ. of Illinois, Urbana, IL 61801. E-mail: [email protected]
Yozo Fujino, M.ASCE [email protected]
Professor, Dept. of Civil Engineering, Univ. of Tokyo, Bunkyo-ku, Tokyo 113, Japan. E-mail: [email protected]

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