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Full resources utilization seismic design of irregular structures using multiple tuned mass dampers

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Abstract

This paper presents a methodology for the design of peripheral multiple tuned mass dampers (MTMD) in 3D irregular buildings. A Performance-Based Design (PBD) control strategy is proposed to reduce structural response to a desired acceptable level. Therefore, a limit is assigned to the accelerations experienced at the floors’ edges for a specific seismic hazard. In parallel, an attempt is made to keep the total mass of the added TMDs to its lowest possible level. The formulation of the design methodology relies on full utilization of control resources as presented herein; hence, a two stage iterative analysis/redesign procedure that is based on analysis tools is developed. The solution is compared to a formal gradient-based optimization solution, showing that the solution obtained by the analysis/redesign process is close to optimal, while it is much more computationally efficient than formal optimization and requires no gradient computation. The methodology applies to all types of structural irregularities, which allows its application in a practical design process of any structure.

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References

  • Abdel-Rohman M (1984) Optimal design of active TMD for buildings control. Build Environ 19(3):191–195

    Article  Google Scholar 

  • Agrawal AK, Xu Z, He WL (2006) Ground motion pulse-based active control of a linear base-isolated benchmark building. Structural Control and Health Monitoring 13:792–808

    Article  Google Scholar 

  • Almazan JL, Espinoza G, Aguirre JJ (2012) Torsional balance of asymmetric structures by means of tuned mass dampers. Engineering Structures 42:308–328

    Article  Google Scholar 

  • Chen G, Wu J (2001) Optimal placement of multiple tune mass dampers for seismic structures. J Struct Eng 127(9):1054–1062

    Article  Google Scholar 

  • Chowdhury AH, Iwuchukwu MD, Garske JJ (1985) The past and future of seismic effectiveness of tuned mass dampers. In: Proceedings of the 2nd international symposium on structural control, Ontario, Canada, pp 105–127

  • Christopoulos C, Filiatrault A (2006) Principles of supplemental damping and seismic isolation. Milan, Italy

    Google Scholar 

  • Cilley FH (1900) The exact design of statically indeterminate frameworks, an exposition of its possibility but futility. Transactions, ASCE 43:353–407

    Google Scholar 

  • Clark AJ (1988) Multiple passive tuned mass dampers for reducing earthquake induced building motion. In: Proceedings of the 9th world conference on earthquake engineering, Tokyo-Kyoto, Japan V:779–784

  • Clough RW, Penzien J (1995) Dynamics of structures, 3rd edn. Computers & Structures, Inc.

  • Daniel Y, Lavan O (2011a) Seismic design methodology for control of 3D buildings by means of multiple Tuned-Mass-Dampers. In: COMPDYN 2011-3rd international conference in computational methods in structural dynamics and earthquake engineering. Corfu’, Greece

  • Daniel Y, Lavan O (2011b) Allocation and sizing of multiple tunedmass-dampers for seismic control of irregular structures. In: 6EWICS-6th european workshop on the seismic behavior of irregular and complex structures. Haifa, Israel

  • Dehghan-Niri E, Zahrai M, Mohtat A (2010) Effectiveness—robustness objectives in MTMD system design: an evolutionaty optimal design methodology. Structural Control and Health Monitoring 17:218–236

    Article  Google Scholar 

  • Den Hartog JP (1940) Mechanical vibrations, 2nd edn. McGraw-Hill Book Company, Inc

  • Fu TS, Johnson EA (2011) Distributed mass damper system for integrating structural and environmental control in buildings. J Eng Mech 137(3):205–213

    Article  Google Scholar 

  • Gupta YP, Chandrasekaran AR (1969) Absorber system for earthquake excitation. In: Proceedings of the 4th world conference on earthquake engineering. Santiago, Chile II, pp 139–148

  • Haftka RT, Gürdal Z (1992) Elements of structural optimization, 3rd edn. Kluwer Academic Publishers, Netherlands

    Book  MATH  Google Scholar 

  • Housner GW, Bergman LA, Caughey TK, Chassiakos AG, Claus RO, Masri SF, Skelton RE, Soong TT, Spencer BF, Yao JTP (1997) Structural control: past, present and future. J Eng Mech 123(9):897–971

    Article  Google Scholar 

  • Kanai K (1957) Semi-empirical formula for the seismic characteristics of the ground. Bulletin of Earthquake Research Institute, University of Tokyo 35:309–325

    Google Scholar 

  • Kaynia AM, Veneziano D, Biggs JM (1981) Seismic effectiveness of tuned mass dampers. ASCE Journal of Structural Division 107:1465–1484

    Google Scholar 

  • Kelly SG (2000) Fundamentals of mechanical vibrations, 2nd edn. McGraw-Hill, Boston

    Google Scholar 

  • Khot NS, Berke L (1976) Structural optimization using optimality criteria method. In: Atrek A, Gallagher RH, Ragsdell KM, Zienkiewicz OC (eds) New directions in optimum structural design, pp 47–74

  • Kwakernaak H, Sivan R (1991) Modern signals and systems. Prentice Hall Inc., Englewood Cliffs. NJ

    MATH  Google Scholar 

  • Levy R, Lavan O, Daniel Y (2010) Multiple tuned mass dampers for multi-modal control of seismic accelerations in structures. 14th European Conference on Earthquake Engineering, Paper No. 1057

  • Levy R, Lavan O (2006) Fully stressed design of passive controllers in framed structures for seismic loadings. Journal of Structural and Multidisciplinary Optimization 32:485–498

    Article  Google Scholar 

  • Luft RW (1979) Optimum tuned mass dampers for buildings. ASCE Journal of Structural Division 105:2766–2772

    Google Scholar 

  • Luo X, Ma R, Li G, Zhao D (2009) Parameter optimization of multi-mode vibration control system. In: International conference of measuring technology and mechatronics automation. IEEE Computer Society, pp 685–688

  • Marano GC, Greco R, Trentadue F, Chiaia B (2007) Constrained reliability-based optimization of linear tuned mass dampers for seismic control. Int J Solids Struct 44:7370–7388

    Article  MATH  Google Scholar 

  • Marano GC, Sgobba S, Greco R, Mezzina M (2008) Robust optimum design of tuned mass dampers devices in random vibrations mitigation. J Sound Vib 313:472–492

    Article  Google Scholar 

  • Marano GC, Greco R, Sgobba S (2010) A comparison between different robust optimum design approaches: application to tuned mass dampers. Probabilistic Engineering Mechanics 25:108–118

    Article  Google Scholar 

  • Mitchell AGM (1904) The limits of economy of material in framed structures. Phila Mag 6:589–597

    Article  Google Scholar 

  • Mohtat A, Dehghan-Niri E (2011) Generalized framework for robust design of tuned mass damper systems. J Sound Vib 330:902–922

    Article  Google Scholar 

  • Moon KS (2010a) Vertically distributed multiple tuned mass dampers in tall buildings: performance analysis and preliminary design. Struct Des Tall Spec Build 19:347–366

    Google Scholar 

  • Moon KS (2010b) Integrated damping systems for tall buildings: vertically distributed TMDs. 2010 ASCE Structures Congress, pp 3122–3131

  • McNamara RJ (1977) Tuned mass dampers for buildings. ASCE Journal of Structural Division 103:1785–1798

    Google Scholar 

  • Nagarajaiah S (2009) Adaptive passive, semiactive, smart tuned mass dampers: identification and control using empirical mode decomposition, Hilbert transform, and short-term Fourier transform. Structural Control and Health Monitoring 16:800–841

    Article  Google Scholar 

  • Nagarajaiah S, Narasimhan S (2006) Smart base-isolated benchmark building. Part II: phase i sample controllers for linear isolation systems. Structural Control and Health Monitoring 12:589–604

    Article  Google Scholar 

  • Nagarajaiah S, Sonmez E (2007) Structures with semiactive variable stiffness single/multiple tuned mass dampers. J Struct Eng 133(1):67–77

    Article  Google Scholar 

  • Newland DE (1993) An introduction to random vibrations, spectral & wavelet analysis. Prentice Hall, Harlow, England

    Google Scholar 

  • Rasouli SK, Yahyai M (2002) Control of response of structures with passive and active tuned mass dampers. Struct Des Tall Build 11:1–14

    Article  Google Scholar 

  • Roffel AJ, Lourenco R, Narasimhan S (2010) Experimental studies on an adaptive tuned mass damper with real-time tuning capability. In: ASCE 19th analysis & computation specialty conference, pp 314–324

  • Rozvany GIN (1989) Structural design via optimality criteria: the prager approach to structural optimization (mechanics of elastic and inelastic solids). Kluwer Academic Publishers, Dordrecht

    Book  MATH  Google Scholar 

  • Sgobba S, Marano GC (2010) Optimum design of linear tuned mass dampers for structures with nonlinear behavior. Mech Syst Signal Process 24:1739–1755

    Article  Google Scholar 

  • Singh MP, Singh S, Moreschi LM (2002) Tuned mass dampers for response control of torsional buildings. Earthq Eng Struct Dyn 31:749–769

    Article  Google Scholar 

  • Sladek JK, Klingner RE (1983) Effect of tuned-mass dampers on seismic response. ASCE Journal of Structural Division 109:2004–2009

    Article  Google Scholar 

  • 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 (1990) Active structural control: theory and practice. Longman Scientific & Technical, Harlow, England

    Google Scholar 

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

    Google Scholar 

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

    Book  Google Scholar 

  • Tso WK, Yao S (1994) Seismic load distribution in buildings with eccentric setback. Can J Civ Eng 21:50–62

    Article  Google Scholar 

  • Venkayya VB (1978) Structural optimization: a review and some recommendations. Int J Numer Methods Eng 13:203–228

    Article  Google Scholar 

  • Warburton GB (1982) Optimum absorber parameters for various combinations of response and excitation parameters. Earthq Eng Struct Dyn 10:381–401

    Article  Google Scholar 

  • Wiesner KB (1979) Tuned mass dampers to reduce building wind motion. ASCE Convention and Exposition, Boston, Mass, pp 1–21

  • Xu K, Igusa T (1992) Dynamic characteristics of multiple substructures with closely spaced frequencies. Earthq Eng Struct Dyn 21:1059–1070

    Article  Google Scholar 

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Authors and Affiliations

  1. Faculty of Civil and Environmental Engineering, Technion – Israel Institute of Technology, Technion City, Haifa, 32000, Israel

    O. Lavan & Y. Daniel

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  1. O. Lavan
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  2. Y. Daniel
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Correspondence to O. Lavan.

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Limited parts of the manuscript have been presented and published in proceedings of conferences (Daniel and Lavan 2011a, b).

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Lavan, O., Daniel, Y. Full resources utilization seismic design of irregular structures using multiple tuned mass dampers. Struct Multidisc Optim 48, 517–532 (2013). https://doi.org/10.1007/s00158-013-0913-x

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  • DOI: https://doi.org/10.1007/s00158-013-0913-x

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