Skip to main content
SpringerLink
Log in

Tuned Mass and Parametric Pendulum Dampers Under Seismic Vibrations

  • Living reference work entry
  • First Online:
Book cover Encyclopedia of Earthquake Engineering

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

References

  • Adam C, Heuer R, Pirrotta A (2003) Experimental dynamic analysis of elastic–plastic shear frames with secondary structures. Exper Mech 43(2):124–130

    Article  Google Scholar 

  • Bergman L, McFarland D, Hall J, Johnson E, Kareem A (1989) Optimal distribution of tuned mass dampers in wind-sensitive structures. In: Structural safety and reliability, ASCE, pp 95–102

    Google Scholar 

  • Bisegna P, Caruso G (2012) Closed-form formulas for the optimal pole-based design of tuned mass dampers. J Sound Vib 331(10):2291–2314

    Article  Google Scholar 

  • Bobryk R, Chrzeszczyk A (2009) Stability regions for mathieu equation with imperfect periodicity. Phys Lett A 373(39):3532–3535

    Article  MathSciNet  MATH  Google Scholar 

  • Brock JE (1946) A note on the damped vibration absorber. J Appl Mech, ASME 13, A–284

    Google Scholar 

  • Carpineto N, Lacarbonara W, Vestroni F (2014) Hysteretic tuned mass dampers for structural vibration mitigation. J Sound Vib 333(5):1302–1318

    Article  Google Scholar 

  • Cartmell M, Cartmell M (1990) Introduction to linear, parametric and nonlinear vibrations. Chapman and Hall, London

    MATH  Google Scholar 

  • Cho DS, Mo CK, Ban GS, Lee KH (2003) Modal interactions in an autoparametric vibration absorber to narrow band random excitation. KSME Int J 17(1):97–104

    Google Scholar 

  • Chowdhury AH, Iwuchukwu MD, Garske JJ (1987) The past and future of seismic effectiveness of tuned mass dampers, structural control (Leipholz, H.H.E., ed.). Martinus Nijhoff Publishers, Dordrecht 105–127

    Google Scholar 

  • Chung L, Wu L, Lien K, Chen H, Huang H (2013) Optimal design of friction pendulum tuned mass damper with varying friction coefficient. Struct Control Health Monitor 20(4):544–559

    Article  Google Scholar 

  • Crandall SH, Mark WD (1963) Random vibration in mechanical systems, vol 963. Academic, New York

    Google Scholar 

  • Debbarma R, Hazari S (2013) Mass distribution of multiple tuned mass dampers for vibration control of structures under earthquake load. Int J Emerg Technol Adv Eng 3(8):198–202

    Google Scholar 

  • Den Hartog JP (2013) Mechanical vibrations. Courier Dover Publications, New York

    Google Scholar 

  • Di Matteo A, Lo Iacono F, Navarra G, Pirrotta A (2014) Direct evaluation of the equivalent linear damping for tuned liquid column damper systems in random vibration for pre-design purpose. Int J Non-Linear Mech 63:19–30

    Article  Google Scholar 

  • Dimentberg M, Iourtchenko D (2004) Random vibrations with impacts: a review. Nonlinear Dynam 36(2–4):229–254

    Article  MathSciNet  MATH  Google Scholar 

  • Elgamal A, He L (2004) Vertical earthquake ground motion records: an overview. J Earthquake Eng 8(5):663–697

    Google Scholar 

  • Hunt JB (1979) Dynamic vibration absorbers. Mechanical Engineering Publications, London

    Google Scholar 

  • Ibrahim R (2008) Recent advances in nonlinear passive vibration isolators. J Sound Vib 314(3):371–452

    Article  Google Scholar 

  • Ibrahim RA (2009) Vibro-impact dynamics: modeling, mapping and applications, vol 43. Springer, Berlin

    Google Scholar 

  • Ibrahim R, Roberts J (1976) Broad band random excitation of a two-degree-of-freedom system with autoparametric coupling. J Sound Vib 44(3):335–348

    Article  MATH  Google Scholar 

  • Ikeda T (2011) Nonlinear responses of dual-pendulum dynamic absorbers. J Comput Nonlinear Dyn 6(1):011012

    Article  Google Scholar 

  • Jang S-J, Brennan M, Rustighi E, Jung H-J (2012) A simple method for choosing the parameters of a two degree-of-freedom tuned vibration absorber. J Sound Vib 331(21):4658–4667

    Article  Google Scholar 

  • Kareem A, Kline S (1995) Performance of multiple mass dampers under random loading. J Struct Eng 121(2):348–361

    Article  Google Scholar 

  • Kareem A, Kijewski T, Tamura Y (1999) Mitigation of motions of tall buildings with specific examples of recent applications. Wind Struct 2(3):201–251

    Article  Google Scholar 

  • Kaynia AM, Biggs JM, Veneziano D (1981) Seismic effectiveness of tuned mass dampers. J Struct Div 107(8):1465–1484

    Google Scholar 

  • Krenk S (2005) Frequency analysis of the tuned mass damper. J Appl Mech 72(6):936–942

    Article  MATH  Google Scholar 

  • Krenk S, Høgsberg J (2008) Tuned mass absorbers on damped structures under random load. Probab Eng Mech 23(4):408–415

    Article  Google Scholar 

  • Krenk S, Høgsberg J (2014) Tuned mass absorber on a flexible structure. J Sound Vib 333(6):1577–1595

    Article  Google Scholar 

  • Majcher K, Wójcicki Z (2014) Kinematically excited parametric vibration of a tall building model with a tmd. Part 1: numerical analyses. Arch Civil Mech Eng 14(1):204–217

    Article  Google Scholar 

  • Ormondroyd J (1928) Theory of the dynamic vibration absorber. Trans ASME 50:9–22

    Google Scholar 

  • Rüdinger F (2007) Tuned mass damper with nonlinear viscous damping. J Sound Vib 300(3):932–948

    Article  Google Scholar 

  • Sadek F, Mohraz B, Taylor AW, Chung RM (1997) A method of estimating the parameters of tuned mass dampers for seismic applications. Earthquake Eng Struct Dynam 26(6):617–636

    Article  Google Scholar 

  • Sladek JR, Klingner RE (1983) Effect of tuned-mass dampers on seismic response. J Struct Eng 109(8):2004–2009

    Article  Google Scholar 

  • Song Y, Sato H, Iwata Y, Komatsuzaki T (2003) The response of a dynamic vibration absorber system with a parametrically excited pendulum. J Sound Vib 259(4):747–759

    Article  Google Scholar 

  • Soong T, Spencer B Jr (2002) Supplemental energy dissipation: state-of-the-art and state-of-the-practice. Eng Struct 24(3):243–259

    Article  Google Scholar 

  • Soto MG, Adeli H (2013) Tuned mass dampers. Arch Comput Meth Eng 20(4):419–431

    Article  Google Scholar 

  • Tigli OF (2012) Optimum vibration absorber (tuned mass damper) design for linear damped systems subjected to random loads. J Sound Vib 331(13):3035–3049

    Article  Google Scholar 

  • Tondl A, Ruijgrok T, Verhulst F, Nabergoj R (2000) Autoparametric resonance in mechanical systems. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Tsai H-C, Lin G-C (1993) Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems. Earthquake Eng Struct Dyn 22(11):957–973

    Article  Google Scholar 

  • Vakakis A, Paipetis S (1986) The effect of a viscously damped dynamic absorber on a linear multi-degree-of-freedom system. J Sound Vib 105(1):49–60

    Article  Google Scholar 

  • Val DV, Segal F (2005) Effect of damping model on pre-yielding earthquake response of structures. Eng Struct 27(14):1968–1980

    Article  Google Scholar 

  • Wang A-P, Lin Y-H (2007) Vibration control of a tall building subjected to earthquake excitation. J Sound Vib 299(4):757–773

    Article  Google Scholar 

  • Warburton G (1981) Optimum absorber parameters for minimizing vibration response. Earthquake Eng Struct Dyn 9(3):251–262

    Article  Google Scholar 

  • Warburton G (1982) Optimum absorber parameters for various combinations of response and excitation parameters. Earthquake Eng Struct Dyn 10(3):381–401

    Article  Google Scholar 

  • Warminski J, Kecik K (2009) Instabilities in the main parametric resonance area of a mechanical system with a pendulum. J Sound Vib 322(3):612–628

    Article  Google Scholar 

  • Wiesner KB (1979) Tuned mass dampers to reduce building wind motion. In: ASCE convention and exposition, vol 3510. ASCE, Boston

    Google Scholar 

  • Wirsching PH, Campbell GW (1973) Minimal structural response under random excitation using the vibration absorber. Earthquake Eng Struct Dyn 2(4):303–312

    Article  Google Scholar 

  • Xu X, Wiercigroch M (2007) Approximate analytical solutions for oscillatory and rotational motion of a parametric pendulum. Nonlinear Dyn 47(1–3):311–320

    MathSciNet  MATH  Google Scholar 

  • Yurchenko D, Alevras P (2013a) Dynamics of the n-pendulum and its application to a wave energy converter concept. Int J Dyn Control 1(4):290–299

    Article  Google Scholar 

  • Yurchenko D, Alevras P (2013b) Stochastic dynamics of a parametrically base excited rotating pendulum. In: Procedia IUTAM 6, pp 160–168

    Google Scholar 

  • Yurchenko D, Naess A, Alevras P (2013) Pendulum’s rotational motion governed by a stochastic mathieu equation. Probabilist Eng Mech 31:12–18

    Article  Google Scholar 

  • Zuo L, Nayfeh SA (2006) The two-degree-of-freedom tuned-mass damper for suppression of single-mode vibration under random and harmonic excitation. J Vib Acoust 128(1):56–65

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mechanical, Process and Energy Engineering, Heriot-Watt University, Research Ave N, EH14 1AS, Edinburgh Campus, Edinburgh, UK

    Daniil Yurchenko

Authors
  1. Daniil Yurchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Daniil Yurchenko .

Editor information

Editors and Affiliations

  1. Institute for Risk & Uncertainty, University of Liverpool, Liverpool, United Kingdom

    Michael Beer

  2. Institute for Risk and Uncertainty, University of Liverpool, Liverpool, United Kingdom

    Ioannis A. Kougioumtzoglou

  3. Institute for Risk & Uncertainty, University of Liverpool, Liverpool, United Kingdom

    Edoardo Patelli

  4. Institute for Risk & Uncertainty, University of Liverpool, Liverpool, United Kingdom

    Ivan Siu-Kui Au

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer-Verlag Berlin Heidelberg

About this entry

Cite this entry

Yurchenko, D. (2015). Tuned Mass and Parametric Pendulum Dampers Under Seismic Vibrations. In: Beer, M., Kougioumtzoglou, I., Patelli, E., Au, IK. (eds) Encyclopedia of Earthquake Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36197-5_338-1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-36197-5_338-1

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Online ISBN: 978-3-642-36197-5

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

Publish with us

Policies and ethics

Search

Navigation