Abstract
Earthquake ground acceleration records exhibit nonstationarity in both amplitude and frequency content. In order to simplify the random vibration analysis, most earthquake models have often neglected the temporal variation of the frequency content. This is partly because it is difficult to incorporate this variation in ground motion models and also partly because it was believed that it had no substantial effect on structure response. The aim of this paper is to identify the temporal variation in frequency content effects, characterizing the earthquake strong ground motions, on structures. Two comparative stochastic earthquake ground motion models based on the concept of physical spectrum are used to characterize and simulate from a selected ground acceleration record two sets of artificial earthquakes exhibiting similar phases distribution and different frequency contents: the first set presents a time-variant frequency content, and the second has a time-invariant frequency content. Three hysteretic models have been considered, elasto-plastic model (bilinear), Clough’s stiffness degrading model and maximum point-oriented bilinear model. Comparative results are presented to quantify the effects of the time-variant frequency content of earthquake ground motion on the structural response of elastic and inelastic simple systems. It is found that the characteristics of elastic and inelastic structural response depend strongly on the time variation of the frequency content in the seismic input.
Similar content being viewed by others
References
Aknouche H (1999) Identification et analyse des Effets de la nonstationnarité des mouvements sismiques forts sur la réponse des structures. Thèse de Magister, Ecole Nationale Polytechnique, Alger, Algérie
Barbato M, Conte JP (2014) Time variant reliability analysis of linear elastic systems subjected to fully nonstationary stochastic excitations. J Eng Mech. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000895
Beck JL, Papadimitriou C (1993) Moving Resonance in nonlinear response to fully nonstationary stochastic ground motion. Prob Eng Mech 8(3–4):157–167
Bendimerad MF, Gere JM (1984) Nonstationary spectral analysis and modeling of three dimensional seismic ground motion. In: Eighth world conference on earthquake engineering, San Francisco, CA, USA
Cao H, Friswell MI (2009) The effect of energy concentration of earthquake ground motions on the nonlinear response of RC structures. Soil Dyn Earthq Eng 29:292–299
Clough RW, Penzien J (1975) Dynamics of structures. McGraw Hill, New York City
Conte JP (1992) Effects of earthquake frequency nonstationarity on inelastic structural response. In: Earthquake engineering, tenth world conference, Balkema, Rotterdam
Conte JP, Feng BF (1997) Fully nonstationary analytical earthquake ground motion model. J Eng Mech 123(1):15–24
Hammoutène M (1995) Simulation nonstationnaire et bidimensionnelle des enregistrements des tremblements de terre. Thèse d’Etat, Ecole Nationale Polytechnique, Alger, Algérie
Junjie W, Lichu F, Shie Q, Jing Z (2002) Simulations of non-stationary frequency content and its importance to seismic assessment of structures. Earthq Eng Struct Dyn 31(4):993–1005. https://doi.org/10.1002/eqe.134
Li Y, Conte JP, Barbato M (2015) Closed form solutions for the stochastic response of linear elastic systems to earthquake ground motion models with and without frequency nonstationarity. Report N°.SSRP-15/047, University of California, San Diego
Li Y, Conte JP, Barbato M (2016) Influence of time-varying frequency content in earthquake ground motions on seismic response of linear elastic systems. Earthq Eng Struct Dyn. https://doi.org/10.1002/eqe.2707
Loh CH, Ho RC (1990) Seismic damage assessment based on different hysteretic rules. Earthq Eng Struct Dyn 19:753–771
Mark WD (1986) Power spectrum representation for nonstationary random vibration. In: Studies in applied mechanics 14, random vibrations-status and recent developments. The S. H. Crandall Festschrift, pp 211–240
Naga P, Eatherton MR (2013) Analysing the effect of moving resonance on seismic response of structures using wavelet transforms. Earthq Eng Struct Dyn 43(5):759–768
Papadimitriou K, Beck JL (1992) Stochastic characterization of ground motion and applications to structural response. In: Tenth world conference on earthquake engineering, Balkema, Rotterdam
Priestly MB (1965) Evolutionary spectra and nonstationary processes. J R Stat Soc Ser B 27(2):204–237
RPA (1999) Règlement parasismique Algérien. Centre national de recherche appliquée en Génie parasismique, CGS
Sushovan M, Vinay G (2002) Wavelet-based characterization of design ground motions. Earthq Eng Struct Dyn 31(5):1173–1190. https://doi.org/10.1002/eqe.155
Tadao M, Yutaka O (1988) Elastic-plastic response spectra for different hysteretic rules. Earthq Eng Struct Dyn 16:555–568
Tiliouine B, Azevado J, Chah HA (1984) Computer program for nonstationary analysis and simulation of strong earthquake records. Department of Civil and Environmental Engineering, Report N°63, Stanford University
Ventsel H (1973) Théorie des Probabilités. Traductions Française Editions MIR, Moscou
Wang L, McCullough M, Kareem A (2014) Modelling and simulation of nonstationary processes utilizing wavelet and hilbert transforms. J Eng Mech 140:345–360
Acknowledgement
This work was carried out between the National Earthquake Engineering Research Center (CGS) and the National Polytechnic School (ENP).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Aknouche, H., Airouche, A. & Bechtoula, H. Influence of Earthquake Frequency Nonstationarity on Seismic Structural Response. Iran J Sci Technol Trans Civ Eng 44, 603–614 (2020). https://doi.org/10.1007/s40996-020-00360-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40996-020-00360-6