Skip to main content
Log in

Effects of Stick-Slip in Behavior of Structures with Friction Damper under Near-Field Earthquakes

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

The present study is an attempt to investigate structures equipped with friction dampers under the influence of near-field earthquakes based on Stribeck friction behavior of velocity function. At present, the cyclic behavior of friction dampers in structural design engineering software is simple and based on the Coulomb friction force that is independent of velocity, which should be estimated and considered in terms of Stribeck velocity-dependent friction. Their sliding and vibration methods, including displacement, velocity, and acceleration, are calculated using numerical analysis and differential equation. For this purpose, the representative of the near-field records affects the structure with Stribeck frictional behavior of velocity function as a pulse of Ricker wavelet stimulation. The response of the structure is evaluated in the transition phase from impending motion with a friction coefficient of μs to kinetic motion with μk and vice versa, which makes the poor results of previous simplifications more accurate. Due to the nonlinear behavior of the damping force, programming has been used to perform nonlinear analytical dynamics. Also, behavioral models in OpenSees software are used to investigate the behavior of Stribeck friction for friction damper and to compare its results with the results obtained from accurate analysis.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Abbreviations

a p :

Amplitude of the pulse excitation

c e :

Damping coefficient of the support

k e :

Stiffness coefficient of the support

m :

Mass of the sliding block

m e :

Mass of the support

T :

Fundamental period of model or nonrigid sliding block

T p :

Period of pulse

u :

Seismic response of displacement

u e :

Elastic deformation of the support

u s :

Sliding displacement

ü g :

Ground acceleration

\(\dot{u}_{s}\) :

Sliding velocity (relative velocity between from static to kinetic friction)

β :

Parameter controlling the transition sharpness from static to kinetic friction

γ :

Viscous coefficient of the contact

λ :

Mass ratio (me/m)

μ k :

Kinetic friction coefficient

μ s :

Static friction coefficient

ω :

Frequency of vibration

References

  • Armstrong-Hélouvry B, Dupont P, De Wit CC (1994) A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica 30(7):1083–1138, 5, DOI: https://doi.org/10.1016/0005-1098(94)90209-7

    Article  Google Scholar 

  • Bengisu MT, Akay A (1999) Stick-slip oscillations: Dynamics of friction and surface roughness. The Journal of the Acoustical Society of America 105(1):194–205, DOI: https://doi.org/10.1121/1.424580

    Article  Google Scholar 

  • Chen J, Cao X, Xu Q, Li J (2020) Exploration on damage mechanism and equivalent damage model of high arch dams under earthquakes. KSCE Journal of Civil Engineering 24(4):1285–1306, DOI: https://doi.org/10.1007/s12205-020-1267-8

    Article  Google Scholar 

  • Chung YS, Shin HJ, Park YK, Lee SY (2016) Lapped-steel effects on bridge pier behavior under moderate near-fault motions. KSCE Journal of Civil Engineering 20(5):1452–1461, DOI: https://doi.org/10.1007/s12205-015-0795-0

    Article  Google Scholar 

  • Davari V (2013) Operation method of wave’s diffusion problem solving in elastic environment under the influence of cylindrical overlap. Journal of Basic and Applied Scientific Research 3(3):459–469

    MathSciNet  Google Scholar 

  • Davis T, Healy D, Rivalta E (2019) Slip on wavy frictional faults: Is the 3rd dimension a sticking point? Journal of Structural Geology 119: 33–49, DOI: https://doi.org/10.1016/j.jsg.2018.11.009

    Article  Google Scholar 

  • Gray MG, Christopoulos C, Packer JA (2014) Cast steel yielding brace system for concentrically braced frames: Concept development and experimental validations. Journal of Structural Engineering 140(4):04013095, DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0000910

    Article  Google Scholar 

  • Hashmi AK, Madan A (2020) Fragility analysis of infilled reinforced concrete frames subjected to near-field ground motions. KSCE Journal of Civil Engineering 24(1):122–130, DOI: https://doi.org/10.1007/s12205-020-1443-x

    Article  Google Scholar 

  • Konstantinidis D, Makris N (2005) Experimental and analytical studies on the seismic response of free standing and anchored laboratory equipment. Paper presented at the Rep. No. PEER, 2005/07, Pacific Earthquake Engineering Research Center (PEER)

  • Konstantinidis D, Makris N (2009) Experimental and analytical studies on the response of freestanding laboratory equipment to earthquake shaking. Earthquake Engineering & Structural Dynamics 38(6):827–848, DOI: https://doi.org/10.1002/eqe.871

    Article  Google Scholar 

  • Makris N, Vassiliou MF (2011) The existence of ‘complete similarities’ in the response of seismic isolated structures subjected to pulse-like ground motions and their implications in analysis. Earthquake Engineering & Structural Dynamics 40(10):1103–1121, DOI: https://doi.org/10.1002/eqe.1072

    Article  Google Scholar 

  • Mansoori MR, Moghadam AS (2014) Controlling torsional responses of structures under one and two directional excitations using dampers. Proceedings of the second European conference on earthquake engineering and seismology, August 25–29, Istanbul, Turkey

  • Mualla IH, Belev B (2002) Performance of steel frames with a new friction damper device under earthquake excitation. Engineering Structures 24(3):365–371, DOI: https://doi.org/10.1016/S0141-0296(01)00102-X

    Article  Google Scholar 

  • Nikfar F, Konstantinidis D (2014) Solving dynamical systems with path-dependent nonlinearities using MATLAB ODE solvers. Proceedings of the 10th National Conference in Earthquake Engineering, Earthquake Engineering Research Institute, Anchorage, AK, USA

    Google Scholar 

  • Nikfar F, Konstantinidis D (2017) Effect of the stick-slip phenomenon on the sliding response of objects subjected to pulse excitation. Journal of Engineering Mechanics 143(4):04016122, DOI: https://doi.org/10.1061/(ASCE)EM.1943-7889.0001183

    Article  Google Scholar 

  • Persson BNJ, Popov VL (2000) On the origin of the transition from slip to stick. Solid State Communications 114(5):261–266, DOI: https://doi.org/10.1016/S0038-1098(00)00045-4

    Article  Google Scholar 

  • Ray Chaudhuri S, Hutchinson TC (2005) Characterizing frictional behavior for use in predicting the seismic response of unattached equipment. Soil Dynamics and Earthquake Engineering 25(7):591–604, DOI: https://doi.org/10.1016/j.soildyn.2004.11.022

    Article  Google Scholar 

  • Scholz CH (2019) The mechanics of earthquakes and faulting, 3rd edition. Cambridge University Press, Cambridge, UK

    Book  Google Scholar 

  • Shahi SK, Baker JW (2011) An empirically calibrated framework for including the effects of near-fault directivity in probabilistic seismic hazard analysis. Bulletin of the Seismological Society of America 101(2):742–755, DOI: https://doi.org/10.1785/0120100090

    Article  Google Scholar 

  • Singh BR (1960) Study of critical velocity of stick-slip sliding. Journal of Engineering for Industry 82(4):393–398, DOI: https://doi.org/10.1115/1.3664261

    Article  Google Scholar 

  • Somerville P, Graves R (1993) Conditions that give rise to unusually large long period ground motions. The Structural Design of Tall Buildings 2(3):211–232, DOI: https://doi.org/10.1002/tal.4320020304

    Article  Google Scholar 

  • Somerville P, Irikura K, Graves R, Sawada S, Wald D, Abrahamson N, Iwasaki Y, Kagawa T, Smith N, Kowada A (1999) Characterizing crustal earthquake slip models for the prediction of strong ground motion. Seismological Research Letters 70(1):59–80, DOI: https://doi.org/10.1785/gssrl.70.1.59

    Article  Google Scholar 

  • Stribeck R (1902) Die wesentlichen eigenschaften der gleit-und rollenlager (The key qualities of sliding and roller bearings). Zeitschrift des Vereins Deutscher Ingenieure 46(38):1432–1437

    Google Scholar 

  • Vassiliou MF, Makris N (2011) Estimating time scales and length scales in pulselike earthquake acceleration records with wavelet analysis. Bulletin of the Seismological Society of America 101:618, DOI: https://doi.org/10.1785/0120090387

    Article  Google Scholar 

  • Wang XC, Huang B, Wang RL, Mo JL, Ouyang H (2020) Friction-induced stick-slip vibration and its experimental validation. Mechanical Systems and Signal Processing 142:106705, DOI: https://doi.org/10.1016/j.ymssp.2020.106705

    Article  Google Scholar 

  • Xia F (2003) Modelling of a two-dimensional Coulomb friction oscillator. Journal of Sound and Vibration 265(5):1063–1074, DOI: https://doi.org/10.1016/S0022-460X(02)01444-X

    Article  Google Scholar 

  • Yeow TZ, MacRae GA, Dhakal, RP, Bradley BA (2014) Preliminary experimental verification of current content sliding modelling techniques. 2014 New Zealand society for earthquake engineering conference (NZSEE), March 21–23, Auckland, New Zealand

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammad Reza Mansoori.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Davari, V., Mansoori, M.R. & Nekooei, M. Effects of Stick-Slip in Behavior of Structures with Friction Damper under Near-Field Earthquakes. KSCE J Civ Eng 25, 3788–3801 (2021). https://doi.org/10.1007/s12205-021-1324-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12205-021-1324-y

Keywords

Navigation