Skip to main content

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 259))

  • 189 Accesses

Abstract

A computer algorithm is developed for the numerical simulation of fluid viscous dampers (FVDs), represented by a Maxwell model in elastic and inelastic SDOF systems for nonlinear dynamic analyses under near-field (NF) and far-field (FF) earthquake motions. Maxwell model incorporates the frequency dependence of the damping and stiffness coefficients observed in the fluid orifice of FVDs, which is characterized by three basic parameters (supplemental damping ratio \({\xi }_{add}\), velocity power \(\alpha \), and axial stiffness \({k}_{s}\)). The computational efficiency of the algorithm is verified against experimental example in previous research. This study shows the effect of NF and FF on energy dissipated by FVD (\({E}_{d2}\)) with varying system ductility level µ, \({\xi }_{add}\) and \(\alpha \). The selection procedure of axial stiffness (\({k}_{s}\)), based on energy-dissipated spectra, is proposed in this study to obtain the optimal values of \({k}_{s}\) in extensive response history analyses of SDOF systems. It is found that the \({k}_{s}\) size of FVD is more significant to structural properties (natural vibration period \({T}_{n}\), and µ), and FVD characteristics (\({\xi }_{add}\) and \(\alpha \)).

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Pekcan G, Mander J, Chen SS (1999) Design and retrofit methodology for building structures with supplemental energy dissipating systems. Multidisciplinary Center for Earthquake Engineering Research

    Google Scholar 

  2. Soong TT, Dargush GF (1997) Passive Energy Dissipation Systems in Structural Engineering. Wiley

    Google Scholar 

  3. Constantinou MC, Soong TT, Dargush GF (1998) Passive energy dissipation systems for structural design and retrofit

    Google Scholar 

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

    Google Scholar 

  5. Ramirez OM (2001) Development and evaluation of simplified procedures for the analysis and design of buildings with passive energy dissipation systems. State University of New York at Buffalo

    Google Scholar 

  6. Lin WH, Chopra AK (2002) Earthquake response of elastic SDF systems with non-linear fluid viscous dampers. Earthq Eng Struct Dyn 31(9):1623–1642

    Article  Google Scholar 

  7. Hwang JS, Huang YN, Yi SL, Ho SY (2008) Design formulations for supplemental viscous dampers to building structures. J Struct Eng 134(1):22–31

    Article  Google Scholar 

  8. 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(3):350–373

    Article  Google Scholar 

  9. Constantinou MC, Symans MD, Tsopelas P, Taylor DP (1993) Fluid viscous dampers in applications of seismic energy dissipation and seismic isolation. In: Proceedings ATC, vol 17, no 1, pp 581–592

    Google Scholar 

  10. Singh MP, Verma NP, Moreschi LM (2003) Seismic analysis and design with Maxwell dampers. J Eng Mech 129(3):273–282

    Article  Google Scholar 

  11. Wang S (2017) Enhancing seismic performance of tall buildings by optimal design of supplemental energy-dissipation devices. University of California, Berkeley

    Google Scholar 

  12. Kasai K, Fu Y, Watanabe A (1998) Passive control systems for seismic damage mitigation. J Struct Eng 124(5):501–512

    Article  Google Scholar 

  13. Fu Y, Kasai K (1998) Comparative study of frames using viscoelastic and viscous dampers. J Struct Eng 124(5):513–522

    Article  Google Scholar 

  14. Kasai K, Suzuki A, Oohara K (2003) Equivalent linearization of a passive control system having viscous dampers dependent on fractional power of velocity. J Struct Constr Eng (Trans AIJ) 574:77–84

    Article  Google Scholar 

  15. Viola E, Guidi F (2009) Influence of the supporting braces on the dynamic control of buildings with added viscous dampers. Struct Control Health Monit Off J Int Assoc Struct Control Monit Eur Assoc Control Struct 16(3):267–286

    Google Scholar 

  16. Chen YT, Chai YH (2011) Effects of brace stiffness on performance of structures with supplemental Maxwell model-based brace–damper systems. Earthq Eng Struct Dyn 40(1):75–92

    Article  Google Scholar 

  17. Londoño JM, Wagg DJ, Neild SA (2014) Supporting brace sizing in structures with added linear viscous fluid dampers: a filter design solution. Earthq Eng Struct Dyn 43(13):1999–2013

    Article  Google Scholar 

  18. Pollini N, Lavan O, Amir O (2018) Optimization-based minimum-cost seismic retrofitting of hysteretic frames with nonlinear fluid viscous dampers. Earthquake Eng Struct Dyn 47(15):2985–3005

    Article  Google Scholar 

  19. De Domenico D, Hajirasouliha I (2021) Multi-level performance-based design optimisation of steel frames with nonlinear viscous dampers. Bull Earthq Eng 19(12):5015–5049

    Article  Google Scholar 

  20. Akcelyan S, Lignos DG, Hikino T (2018) Adaptive numerical method algorithms for nonlinear viscous and bilinear oil damper models subjected to dynamic loading. Soil Dyn Earthq Eng 113:488–502

    Article  Google Scholar 

  21. Tubaldi E, Ragni L, Dall’Asta A (2015) Probabilistic seismic response assessment of linear systems equipped with nonlinear viscous dampers. Earthq Eng Struct Dyn 44(1):101–120

    Article  Google Scholar 

  22. Chalarca B, Filiatrault A, Perrone D (2020) Seismic demand on acceleration-sensitive nonstructural components in viscously damped braced frames. J Struct Eng 146(9):04020190

    Article  Google Scholar 

  23. Scozzese F, Gioiella L, Dall’Asta A, Ragni L, Tubaldi E (2021) Influence of viscous dampers ultimate capacity on the seismic reliability of building structures. Struct Saf 91:102096

    Article  Google Scholar 

  24. Lee D, Taylor DP (2001) Viscous damper development and future trends. Struct Des Tall Build 10(5):311–320

    Article  Google Scholar 

  25. Agrawal AK, Amjadian M (2022) Seismic component devices. In: Innovative bridge design handbook, pp 637–662. Butterworth-Heinemann (2022)

    Google Scholar 

  26. Chopra AK (2007) Dynamics of structures: theory and applications to earthquake engineering. Prentice Hall, Englewood Cliffs

    Google Scholar 

  27. Kasai K, Oohara K, Sekiguchi Y (2004) JSSI manual for building passive control technology part-10 time-history analysis model for viscous dampers. In: The 13 earthquake engineering, Vancouver, B.C., Canada

    Google Scholar 

  28. Symans MD, Constantinou MC (1998) Passive fluid viscous damping systems for seismic energy dissipation. ISET J Earthq Technol 35(4):185–206

    Google Scholar 

  29. The Mathworks, Inc. (2019) MATLAB 2019a

    Google Scholar 

  30. Gear CW (1971) Numerical initial value problems in ordinary differential equations. Prentice-Hall series in automatic computation

    Google Scholar 

  31. Shampine LF, Reichelt MW (1997) The matlab ode suite. SIAM J Sci Comput 18(1):1–22

    Article  MathSciNet  Google Scholar 

  32. Baker JW, Lin T, Shahi SK, Jayaram N (2011) New ground motion selection procedures and selected motions for the PEER transportation research program. PEER report, 3

    Google Scholar 

  33. American Society of Civil Engineers, ASCE (2016) Minimum design loads for buildings and other structures, ASCE/SEI 7-16 standard, Reston, VA

    Google Scholar 

Download references

Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 52025083) and Shanghai Science and Technology Committee (Grant No. 19DZ1201200).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ying Zhou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 Tongji University Press

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Sebaq, M.S., Zhou, Y. (2024). Maxwell Model of Fluid Viscous Dampers in Elastic and Inelastic SDOF Systems. In: Gu, XL., Motavalli, M., Ilki, A., Yu, QQ. (eds) Proceedings of the 6th International Conference on Smart Monitoring, Assessment and Rehabilitation of Civil Structures. SMAR 2021. Lecture Notes in Civil Engineering, vol 259. Springer, Singapore. https://doi.org/10.1007/978-981-99-3362-4_39

Download citation

  • DOI: https://doi.org/10.1007/978-981-99-3362-4_39

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-3361-7

  • Online ISBN: 978-981-99-3362-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics