Abstract
This chapter is concerned by tuned-mass damping systems. We start with an introductory example of a tuned-mass damper (TMD) design and a brief description of some of the implementations of TMDs in building structures. A rigorous theory of TMDs for single-degree-of-freedom (SDOF) systems subjected to harmonic force excitation and harmonic ground motion is discussed next. Various cases including a damped TMD attached to an undamped SDOF system, and a damped TMD attached to a damped SDOF system are considered. Time history responses for a range of SDOF systems connected to optimally tuned TMD and subjected to harmonic and seismic excitations are presented. The theory is then extended to multi-degree-of-freedoms systems where the TMD is used to dampen out the vibrations of a specific mode. Lastly, a theory for tuned liquid column dampers is presented and design procedures are suggested.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Bibliography
Den Hartog, J. (1940). Mechanical vibrations. New York: McGraw-Hill.
Frahm, H. (1911). Vibrations of bodies, Apr. 18 1911. US Patent 989,958.
Gao, H., Kwok, K., & Samali, B. (1997). Optimization of tuned liquid column dampers. Engineering structures, 19(6), 476–486.
Hancock tower now to get dampers. In Eng. news record, 11 (1975)
Haskett, T., Breukelman, B., Robinson, J., & Kottelenberg, J. (2004). Tuned mass dampers under excessive structural excitation. Report of the Motioneering Inc. http://www.waterfordmgmt.com/school/Articles/tmd%20article.pdf.
Idelchik, I. E., & Fried, E. (1986). Handbook of hydraulic resistance, Hemisphere Publishing Corporation.
Irwin, P., Kilpatrick, J., Robinson, J., & Frisque, A. (2008). Wind and tall buildings: negatives and positives. The Structural Design of Tall and Special Buildings, 17(5), 915–928.
Kaynia, A., Biggs, J., & Veneziano, D. (1981). Seismic effectiveness of tuned mass dampers. Journal of the Structural Division, 107(8), 1465–1484.
Kitamura, H., Fujita, T., Teramoto, T., & Kihara, H. (1988). Design and analysis of a tower structure with a tuned mass damper. In Proceedings 9th World Conference of Earthquake Engineering, Tokyo-Kyoto, Japan, vol. 8, pp. 415–420.
Lead hula-hoops stabilize antenna. In Engineering News Record. July 22 1976, p. 10.
McNamara, R. (1977). Tuned mass dampers for buildings. Journal of the Structural Division, 103(9), 1785–1798.
Nagase, T., & Hisatoku, T. (1990). Tuned pendulum mass damper using ice thermal storage tank installed in crystal tower. Private Communication.
Ormondroyd, J. (1928). Theory of the dynamic vibration absorber. Transaction of the ASME, 50, 9–22.
Petersen, N. (1980). Design of large scale tuned mass dampers. Structural Control, 581–596.
Randall, S., Halsted, D., & Taylor, D. (1978). Optimum vibration absorbers for linear damped systems. Transaction of the ASME, 130, 908–913.
Reiterer, M., & Ziegler, F. (2011). Bi-axial seismic activation of civil engineering structures equipped with tuned liquid column dampers. Journal of Seismology and Earthquake Engineering, 7, 1.
Tsai, H.-C., & Lin, G.-C. (1993). Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems. Earthquake Engineering & Structural Dynamics, 22(11), 957–973.
Tsai, K., Chen, H., Hong, C., & Su, Y. (1993). Design of steel triangular plate energy absorbers for earthquake resistant construction. Earthquake Spectra, 9(3), 517–550.
Tuned mass dampers steady sway of skyscrapers in wind. In Engineering News Record. August 18 1975, pp. 28–29.
Warburton, G. (1981). Optimum absorber parameters for minimizing vibration response. Earthquake Engineering & Structural Dynamics, 9(3), 251–262.
Warburton, G., & Ayorinde, E. (1980). Optimum absorber parameters for simple systems. Earthquake Engineering & Structural Dynamics, 8(3), 197–217.
Wikipedia. (2013). http://en.wikipedia.org/wiki/one_wall_centre, 2013.
Wu, J., Chang, C., & Lin, Y. (2009). Optimal designs for non-uniform tuned liquid column dampers in horizontal motion. Journal of Sound and Vibration, 326(1), 104–122.
Wu, J.-C., Shih, M.-H., Lin, Y.-Y., & Shen, Y.-C. (2005). Design guidelines for tuned liquid column damper for structures responding to wind. Engineering Structures, 27(13), 1893–1905.
Yalla, S., & Kareem, A. (2000). Optimum absorber parameters for tuned liquid column dampers. Journal of Structural Engineering, 126(8), 906–915.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Connor, J., Laflamme, S. (2014). Tuned Mass Damper Systems. In: Structural Motion Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-06281-5_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-06281-5_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06280-8
Online ISBN: 978-3-319-06281-5
eBook Packages: EngineeringEngineering (R0)