Abstract
This paper presents an efficient and practical procedure for the optimal design of added damping in framed structures. The total added damping is minimized while inter-story performance indices for linear and nonlinear structures are chosen and restricted to allowable values under the excitation of an ensemble of realistic ground motion records. Optimality criteria are formulated based on fully stressed characteristics of the optimal solution and a simple analysis/redesign procedure is proposed for attaining optimal designs. Results of three examples presented compare well to those obtained using formal gradient based optimization.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bannon H, Biggs JM, Irvine HM (1981) Seismic damage in reinforced concrete frames. The J. of the Structural Division 107(ST9): 1713–1729.
Carr AJ (2001) RUAUMOKO — Program for inelastic dynamic analysis. Department of Civil Engineering, University of Canterbury, Christchurch.
Cilley FH (1900) The Exact Design of Statically Indeterminate Frameworks, An Exposition of its Possibility but Futility. Transactions, ASCE 43.
Constantinou MC, Tadjbakhsh IG (1983) Optimum design of a first story damping system. Computers and Structures 17(2): 305–310.
Fu Y, Kasai K (1998) Comparative study of frames using viscoelastic and viscous dampers. J. of Structural Engineering 124(5): 513–522.
Garcia DL (2001) A simple method for the design of optimal damper configurations in MDOF structures. Earthquake Spectra 17(3): 387–398.
Gluck N, Reinhorn AM, Gluck J, Levy R (1996) Design of Supplemental Dampers for Control of Structures. J. of Structural Engineering, ASCE 122(12): 1394–1399.
Inaudi JA, Kelly JM, To CWS (1993) Statistical linearization method in the preliminary design of structures with energy dissipating devices. ATC-17-1: 509–520.
Khot NS, Berke L (1976) Structural Optimization Using Optimality Criteria Method. In New Directions in Optimum Structural Design (Ed.) A. Atrek, R. H. Gallagher, K. M. Ragsdell and O. C. Zienkiewicz: 47–74.
Kim J, Choi H, Min KW (2003) Performance-based design of added viscous dampers using capacity spectrum method. J. of Earthquake Engineering 7(1): 1–24.
Lavan O, Levy R (2005a) Optimal design of supplemental viscous dampers for linear framed structures. Earthquake Engineering and Structural Dynamics (in press).
Lavan O, Levy R (2005b) Optimal design of supplemental viscous dampers for irregular shear frames in the presence of yielding. Earthquake Engineering and Structural Dynamics 34(8): 889–907.
Levy R (1985) On the Optimal Design of Trusses under One Loading. Quarterly of Applied Mathematics 43(2): 129–134.
Levy R (1991) Fixed Point Theory and Structural Optimization. Engineering Optimization 17(4): 251–261.
Miyamoto HK, Scholl RE (1996) Case study: seismic rehabilitation of non-ductile soft story concrete structure using viscous dampers. In: Proceedings of the Eleventh World Conference on Earthquake Engineering (held in Acapulco, Mexico), Elsevier Science Ltd, Paper No. 315.
Park YJ, Ang AHS (1985) Mechanistic seismic damage model for reinforced concrete. J. of Structural Engineering 111(4): 722–739.
Rozvany GIN (1989) Structural Design via optimality criteria: The Prager approach to structural optimization (Mechanics of Elastic and Inelastic Solids). Kluwer Academic Publishers.
Shen KL, Soong TT (1996) Design of energy dissipation devices based on concept of damage control. J. of Structural Engineering, ASCE 122(1): 76–82.
Somerville P, Smith N, Punyamurthula S, Sun J (1997) Development of ground motion time histories for Phase 2 of the FEMA/SAC steel project. Report No. SAC/BD-97/04.
Soong TT, Dargush GF (1997) Passive energy dissipation systems in structural engineering. John Wiley & Sons Ltd., Chichester.
Spillers WR (1975) Iterative structural design. North Holland Publishing Company, Amsterdam.
Takewaki I (1997) Optimal damper placement for minimum transfer function. Earthquake Engineering and Structural Dynamics 26(11): 1113–1124.
Takewaki I, Yoshitomi S, Uetani K, Tsuji M (1999) Non-monotonic optimal damper placement via steepest direction search. Earthquake Engineering and Structural Dynamics 28(6): 655–670.
Tso WK, Yao S (1994) Seismic load distribution in buildings with eccentric setback. Canadian Journal of Civil Engineering 21: 50–62.
Uang CM, Bertero VV (1990) Evaluation of seismic energy in structures, Earthquake Engineering and Structural Dynamics 19(1): 77–90.
Venkayya VB (1978) Structural Optimization: A Review and Some Recommendations. Int. J. Num. Meth. Eng. 13: 203–228.
Williams MS, Sexsmith RG (1995) Seismic damage indices for concrete structures: a state-of-theart review. Earthquake Spectra 11(2): 319–349.
Wu B, Ou JP, Soong TT (1997) Optimal placement of energy dissipation devices for three-dimensional structures. Engineering Structures 19(2): 113–125.
Zhang RH, and Soong TT (1992) Seismic design of viscoelastic dampers for structural applications. J. of Structural Engineering, ASCE 118(5): 1375–1392.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this paper
Cite this paper
Levy, R., Lavan, O. (2006). Fully Stressed Seismic Design of Dampers in Framed Structures. In: Pandey, M., Xie, WC., Xu, L. (eds) Advances in Engineering Structures, Mechanics & Construction. Solid Mechanics and Its Applications, vol 140. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4891-2_25
Download citation
DOI: https://doi.org/10.1007/1-4020-4891-2_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4890-6
Online ISBN: 978-1-4020-4891-3
eBook Packages: EngineeringEngineering (R0)