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Peak velocities estimation for a direct five-step design procedure of inter-storey viscous dampers

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An Erratum to this article was published on 14 December 2015

Abstract

In the last decades, the use of added viscous dampers for the mitigation of the effects due to the seismic action upon the structural elements has been worldwide spread. In this respect, several design methods aimed at sizing the viscous dampers to be inserted in building structures have been proposed. Among others, some of the authors proposed a five-step procedure which guides the practical design from the choice of a target reduction in the seismic response of the structural system (with respect to the response of a structure without any additional damping device), to the identification of the corresponding damping ratio and the mechanical characteristics (i.e. the damping coefficient values for chosen damping exponent, the oil stiffnes, the maximum damper forces) of the commercially available viscous dampers. The procedure requires the development of numerical simulations for the evaluation of the peak inter-storey velocity profiles, necessary for the evaluation of the damper forces. In the present paper a comprehensive study on the inter-storey velocity profiles developed in shear-type building structures under seismic excitation is conducted with the purpose of deriving analytical formulae for their estimation. The analytical estimations of the peak inter-storey velocities are then used to simplify the original five-step procedure leading to a direct (i.e. fully analytical) procedure. The direct procedure is suitable for the preliminary design of the added viscous dampers, in particular for practitioners not dealing everyday with the design of added viscous dampers.

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References

  • Adachi F, Fujita K, Tsuji M, Takewaki I (2013) Importance of interstory velocity on optimal along-height allocation of viscous oil dampers in super high-rise buildings. Eng Struct 56:489–500

    Article  Google Scholar 

  • Akkar S, Yazgan U, Gülkan P (2005) Drift estimates in frame buildings subjected to near-fault ground motions. J Struct Eng 131(7):1014–1024

    Article  Google Scholar 

  • ASCE (2005) Minimum design loads for buildings and other structures. ASCE/SEI 7-05 including supplement no. 1, Reston, VA

  • Bommer JJ, Elnashai AS, Weir AG (2000) Compatible acceleration and displacement spectra for seismic design codes. In: Proceedings of the 12th world conference on earthquake engineering, Auckland, New Zealand

  • Chopra AK (1995) Dynamics of structures. Theory and applications to earthquake engineering, Prentice-Hall, Upper Saddle River

    Google Scholar 

  • Christopoulos C, Filiatrault A (2006) Principles of passive supplemental damping and seismic isolation. IUSS Press, Pavia

    Google Scholar 

  • Constantinou MC, Symans MD (1992) Experimental and analytical investigation of seismic response of structures with supplemental fluid viscous dampers. NCEER-92-0032. National Center for Earthquake Engineering Research, Technical report, Buffalo

  • Constantinou MC, Symans MD (1993) Seismic response of structures with supplemental damping. Struct Des Tall Build 2:77–92

    Article  Google Scholar 

  • Constantinou MC, Tadjbakhsh IG (1983) Optimum design of a first story damping system. Comput Struct 17(2):305–310

    Article  Google Scholar 

  • Constantinou MC, Soong TT, Dargush GF (1998) Passive energy dissipation systems for structural design and retrofit, monograph No. 1. Multidisciplinary Center for Earthquake Engineering Research, Buffalo

    Google Scholar 

  • Diotallevi PP, Landi L, Dellavalle A (2012) A methodology for the direct assessment of the damping ratio of structures equipped with nonlinear viscous dampers. J Earthq Eng 16:350–373

    Article  Google Scholar 

  • Filiatrault A, Leger P, Tinawi R (1994) On the computation of seismic energy in inelastic structures. ASCE Journal of Structural Engineering 116(5):1334–1355

    Article  Google Scholar 

  • FIP (2013) Anti-seismic devices product division. http://www.fip-group.it

  • Hart GC, Wong K (2000) Structural dynamics for structural engineers. Wiley, New York

    Google Scholar 

  • Hatzigeorgiou GD, Beskos DE (2009) Inelastic displacement ratios for SDOF structures subjected to repeated earthquakes. Eng Struct 31:2744–2755

    Article  Google Scholar 

  • Hilber HM, Hughes TJ, Taylor L (1977) Improved numerical dissipation for time integration algorithms in structural dynamics. Earthquake Eng Struct Dynam 5(3):283–292

    Article  Google Scholar 

  • Hwang JS, Lin WC, Wu NJ (2013) Comparison of distribution methods for viscous damping coefficients to buildings. Struct Infrastruct Eng 9(1):28–41

    Google Scholar 

  • Landi L, Diotallevi PP, Castellari G (2013) On the Design of Viscous Dampers for the Rehabilitation of Plan-Asymmetric Buildings. J Earthquake Eng 17(8):1141–1161

    Article  Google Scholar 

  • Landi L, Lucchi S, Diotallevi PP (2014) A Procedure for the Direct Determination of the Required Supplemental Damping for the Seismic Retrofit with Viscous Dampers. Eng Struct 71:137–149

    Article  Google Scholar 

  • Levy R, Lavan O (2006) Fully stressed design of passive controllers in framed structures for seismic loadings. Struct Multidiscip Optimiz 32(6):485–498

    Article  Google Scholar 

  • Lopez Garcia D (2001) A simplemethod for the design of optimal damper configurations in MDOF structures. Earthq Spectra 17(3):387–398

    Article  Google Scholar 

  • Mazza F, Vulcano A (2014) Equivalent viscous damping for displacement-based seismic design of hysteretic damped braces for retrofitting framed buildings. Bull Earthq Eng 12(6):2797–2819

    Article  Google Scholar 

  • Miranda E, Akkar SD (2006) Generalized interstory drift spectrum. J Struct Eng 132(6):840–852

    Article  Google Scholar 

  • NTC (2008) Norme Tecniche per le Costruzioni, Italian building code, adopted with D.M. 14/01/2008, published on S.O. n. 30 G.U. n. 29 04/02/2008

  • Occhiuzzi A (2009) Additional viscous dampers for civil structures: analysis of design methods based on effective evaluation of modal damping ratios. Eng Struct 31(5):1093–1101

    Article  Google Scholar 

  • Palermo M, Muscio S, Silvestri S, Landi L, Trombetti T (2013a) On the dimensioning of viscous dampers for the mitigation of the earthquake-induced effects in moment-resisting frame structures. Bull Earthq Eng 11(6):2429–2446

    Article  Google Scholar 

  • Palermo M, Silvestri S, Trombetti T, Landi L (2013b) Force reduction factor for building structures equipped with added viscous dampers. Bull Earthq Eng 11(5):1661–1681

    Article  Google Scholar 

  • Palermo M, Silvestri S, Gasparini G, Trombetti T (2015) Seismic Modal Contribution Factors. Bull Earthq Eng. doi:10.1007/s10518-015-9757-7

    Google Scholar 

  • Pekcan G, Mander JB, Chen S (1999) Fundamental considerations for the design of non-linear viscous dampers. Earthquake Eng Struct Dynam 28:1405–1425

    Article  Google Scholar 

  • Ramirez OM, Constantinou MC, Kircher CA, Whittaker AS, Johnson MW, Gomez JD, Chrysostomou CZ (2000) Development and evaluation of simplified procedures for analysis and design of buildings with passive energy dissipation systems. MCEER-00-0010. Technical report, Buffalo

  • Ramirez OM, Constantinou MC, Whittaker AS, Kircher CA, Chrysostomou CZ (2002a) Elastic and inelastic seismic response of buildings with damping systems. Earthquake Spectra 18(3):531–547

    Article  Google Scholar 

  • Ramirez OM, Constantinou MC, Gomez JD, Whittaker AS, Chrysostomou CZ (2002b) Evaluation of simplified methods of analysis of yielding structures with damping systems. Earthquake Spectra 18(3):501–530

    Article  Google Scholar 

  • Ramirez OM, Constantinou MC, Whittaker AS, Kircher CA, Johnson MW, Chrysostomou CZ (2003) Validation of the 2000 NEHRP provisions’ equivalent lateral force and modal analysis procedures for buildings with damping systems. Earthquake Spectra 19(4):981–999

    Article  Google Scholar 

  • Shukla AK, Datta TK (1999) Optimal use of viscoelastic dampers in building frames for seismic force. Journal of Structural Engineering ASCE 125(4):401–409

    Article  Google Scholar 

  • Silvestri S, Trombetti T (2007) Physical and numerical approaches for the optimal insertion of seismic viscous dampers in shear-type structures. J Earthq Eng 11(5):787–828

    Article  Google Scholar 

  • Silvestri S, Gasparini G, Trombetti T (2010) A five-step procedure for the dimensioning of viscous dampers to be inserted in building structures. J Earthq Eng 14(3):417–447

    Article  Google Scholar 

  • Silvestri S, Gasparini G, Trombetti T (2011) Seismic design of a precast r. c. structure equipped with viscous dampers. Earthquake and Structures 2(3):297–321

    Article  Google Scholar 

  • Singh MP, Moreschi LM (2002) Optimal placement of dampers for passive response control. Earthq Eng Struct Dyn 31:955–976

    Article  Google Scholar 

  • Soong TT, Dargush GF (1997) Passive energy dissipation systems in structural engineering. Wiley, Chichester

    Google Scholar 

  • Sorace S, Terenzi G (2014) Motion control-based seismic retrofit solutions for a R/C school building designed with earlier Technical Standards. Bull Earthq Eng 12:2723–2744

    Article  Google Scholar 

  • Takewaki I (1997) Optimal damper placement for minimum transfer functions. Earthq Eng Struct Dyn 26:1113–1124

    Article  Google Scholar 

  • Takewaki I (2000) Optimal damper placement for critical excitation. Prob Eng Mech 15:317–325

    Article  Google Scholar 

  • Takewaki I (2009) Building control with passive dampers: optimal performance-based design for earthquakes. Wiley, Singapore

    Book  Google Scholar 

  • Trombetti T, Silvestri S (2004) Added viscous dampers in shear-type structures: the effectiveness of mass proportional damping. J Earthq Eng 8(2):275–313

    Google Scholar 

  • Trombetti T, Silvestri S (2006) On the modal damping ratios of shear-type structures equipped with Rayleigh damping systems. J Sound Vib 292(2):21–58

    Article  Google Scholar 

  • Trombetti T, Silvestri S (2007) Novel schemes for inserting seismic dampers in shear-type systems based upon the mass proportional component of the Rayleigh damping matrix. J Sound Vib 302(3):486–526

    Article  Google Scholar 

  • Uang CM, Bertero VV (1990) Evaluation of seismic energy in Structures. Earthq Eng Struct Dynam 19:77–90

    Article  Google Scholar 

  • Vanmarcke EH, Cornell CA, Gasparini DA, Hou S (1990) SIMQKE-I: simulation of earthquake ground motions. Modified. T.F. Blake, Newbury Park, California, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge

  • Whittaker AS, Constantinou MC, Ramirez OM, Johnson MW, Chrysostomou CZ (2003) Equivalent lateral force and modal analysis procedures of the 2000 NEHRP Provisions for buildings with damping systems. Earthquake Spectra 19(4):959–980

    Article  Google Scholar 

Download references

Acknowledgments

Financial supports of Department of Civil Protection (DPC-Reluis 2014–2018 Grant—Research line 6: “Seismic isolation and dissipation”) is gratefully acknowledged.

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Authors and Affiliations

  1. Department DICAM, University of Bologna, Viale Risorgimento 2, 40136, Bologna, Italy

    Michele Palermo, Stefano Silvestri, Luca Landi, Giada Gasparini & Tomaso Trombetti

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  1. Michele Palermo
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  2. Stefano Silvestri
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  3. Luca Landi
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  4. Giada Gasparini
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  5. Tomaso Trombetti
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Correspondence to Michele Palermo.

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Palermo, M., Silvestri, S., Landi, L. et al. Peak velocities estimation for a direct five-step design procedure of inter-storey viscous dampers. Bull Earthquake Eng 14, 599–619 (2016). https://doi.org/10.1007/s10518-015-9829-8

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  • DOI: https://doi.org/10.1007/s10518-015-9829-8

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