Skip to main content
SpringerLink
Log in

Seismic Analysis of Structural Systems Subjected to Fully Non-stationary Artificial Accelerograms

  • Chapter
  • First Online:
Computational Methods in Earthquake Engineering

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 44))

  • 1107 Accesses

Abstract

In seismic engineering, the earthquake-induced ground motion is generally represented in the form of pseudo-acceleration or displacement response spectra. There are, however, situations in which the response spectrum is not considered appropriate, and a fully dynamic analysis is required. In this case, the most effective approach is to define artificial spectrum-compatible stationary accelerograms, which are generated to match the target elastic response spectrum. So a Power Spectral Density (PSD) function is derived from the response spectrum. However, the above approach possesses the drawback that the artificial accelerograms do not manifest the variability in time and in frequency observed from the analysis of real earthquakes. Indeed, the recorded accelerograms can be considered sample of a fully non-stationary process. In this study a procedure based on the analysis of a set of accelerograms recorded in a chosen site to take into account their time and frequency variability is described. In particular the generation of artificial fully non-stationary accelerograms is performed in three steps. In the first step the spectrum-compatible PSD function, in the hypothesis of stationary excitations, is derived. In the second step the spectrum-compatible Evolutionary Power Spectral Density (EPSD) function is obtained by an iterative procedure to improve the match with the target response spectrum starting from the PSD function, once a time-frequency modulating function is chosen. In the third step the artificial accelerograms are generated by the well-known Shinozuka and Jan (J Sound Vib 25:111–128, 1972) formula and deterministic analyses can be performed to evaluate the structural response. Once the EPSD spectrum-compatible function is derived, a method recently proposed by the authors (Muscolino and Alderucci in Probab Eng Mech 40:75–89, 2015), is adopted to evaluate the EPSD response function of linear structural systems subjected to fully non-stationary excitations by very handy explicit closed-form.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

References

  1. Chopra AK (1995) Dynamics of structures—theory and applications to earthquake engineering. Prentice Hall, Upper Saddle River, N.J, USA

    MATH  Google Scholar 

  2. Bommer JJ, Acevedo AB (2004) The use of real earthquake accelerograms as input to dynamic analysis. J Earthquake Eng 8:43–91

    Google Scholar 

  3. Lam N, Wilson J, Hutchinson G (2000) Generation of synthetic earthquake accelerograms using seismological modelling: a review. J Earthq Eng 4:321–354

    Google Scholar 

  4. Rezaeian S, Der Kiureghian A (2010) Simulation of synthetic ground motions for specified earthquake and site characteristics. Earthq Eng Struct Dyn 39:1155–1180

    Google Scholar 

  5. Iervolino I, Galasso C, Cosenza E (2010) REXEL: computer aided record selection for code-based seismic structural analysis. Bull Earthq Eng 8:339–362

    Article  Google Scholar 

  6. Katsanos EI, Sextos AG, Manolis GD (2010) Selection of earthquake ground motion records: a state-of-the-art review from a structural engineering perspective. Soil Dyn Earthq Eng 30:157–169

    Article  Google Scholar 

  7. Vanmarcke EH, Gasparini DA (1977) Simulated earthquake ground motions. In: Proceedings of the 4th international conference on Smirt, K1/9 San Francisco

    Google Scholar 

  8. Kaul MJ (1978) Stochastic characterization of earthquakes through their response spectrum. Earthq Eng Struct Dyn 6:497–509

    Article  Google Scholar 

  9. Pfaffinger DD (1983) Calculation of power spectra from response spectra. J Eng Mechan (ASCE) 109:357–372

    Article  Google Scholar 

  10. Preumont A (1984) The generation of spectrum compatible accelerograms for the design of nuclear power plants. Earthq Eng Struct Dyn 12:481–497

    Article  Google Scholar 

  11. Cacciola P, Colajanni P, Muscolino G (2004) Combination of modal responses consistent with seismic input representation. J Struct Eng (ASCE) 130:47–55

    Article  Google Scholar 

  12. Wang J, Fan L, Qian S, Zhou J (2005) Simulations of non-stationary frequency content and its importance to seismic assessment of structures. Earthq Eng Struct Dyn 31:993–1005

    Article  Google Scholar 

  13. Priestley MB (1965) Evolutionary spectra and non-stationary processes. J R Stat Soc Ser B (Methodol) 27:204–237

    MathSciNet  MATH  Google Scholar 

  14. Preumont A (1985) The generation of nonseparable artificial earthquake accelerograms for the design of nuclear power plants. Nucl Eng Des 88:59–67

    Article  Google Scholar 

  15. Cacciola P (2010) A stochastic approach for generating spectrum-compatible fully nonstationary earthquakes. Comput Struct 88:889–901

    Article  Google Scholar 

  16. Cacciola P, Zentner I (2012) Generation of response spectrum-compatible artificial earthquake accelerograms with random joint time frequency distributions. Probab Eng Mech 28:52–58

    Article  Google Scholar 

  17. Cacciola P, D’Amico L, Zentner I (2014) New insights in the analysis of the structural response to response spectrum-compatible accelerograms. Eng Struct 78:3–16

    Article  Google Scholar 

  18. Spanos PD, Failla G (2004) Evolutionary spectra estimation using wavelets. J Eng Mechan (ASCE) 130:952–960

    Article  Google Scholar 

  19. Spanos PD, Tezcan J, Tratskas P (2005) Stochastic processes evolutionary spectrum estimation via harmonic wavelets. Comput Methods Appl Mech Eng 194:1367–1383

    Article  MathSciNet  MATH  Google Scholar 

  20. Mallat SG (2009) A wavelet tour of signal processing: the sparse way. 3rd ed. Academic Press

    Google Scholar 

  21. Suàrez LE, Montejo LA (2005) Generation of artificial earthquakes via the wavelet transform. Int J Solids Struct 42:5905–5919

    Article  MATH  Google Scholar 

  22. Mukherjee S, Gupta VK (2002) Wavelet-based generation of spectrum-compatible time-histories. Soil Dyn Earthq Eng 22:799–804

    Article  Google Scholar 

  23. Giaralis A, Spanos PD (2009) Wavelet-based response spectrum compatible synthesis of accelerograms—Eurocode application (EC8). Soil Dyn Earthq Eng 29:219–235

    Article  Google Scholar 

  24. Cecini D, Palmeri A (2015) Spectrum-compatible accelerograms with harmonic wavelet. Comput Struct 147:26–35

    Article  Google Scholar 

  25. Shinozuka M, Jan C-M (1972) Digital simulation of random processes and its application. J Sound Vib 25:111–128

    Article  Google Scholar 

  26. Muscolino G, Alderucci T (2015) Closed-form solutions for the evolutionary frequency response function of linear systems subjected to separable or non-separable non-stationary stochastic excitations. Probab Eng Mech 40:75–89

    Article  Google Scholar 

  27. Priestley MB (1967) Power spectral analysis of non-stationary random processes. J Sound Vib 6:86–97

    Article  Google Scholar 

  28. Michaelov G, Sarkani S, Lutes LD (1999) Spectral Characteristics of Nonstationary Random Processes – A Critical Review. Struct Saf 21:223–244

    Article  Google Scholar 

  29. Di Paola M, Petrucci G (1990) Spectral moments and pre-envelope covariances of nonseparable processes. J Appl Mechan (ASME) 57:218–224

    Article  MathSciNet  MATH  Google Scholar 

  30. Di Paola M (1985) Transient spectral moments of linear systems. SM Arch 10:225–243

    MathSciNet  MATH  Google Scholar 

  31. Di Paola M, Muscolino G (1988) Analytic evaluation of spectral moments. J Sound Vib 124:479–488

    Article  Google Scholar 

  32. Vanmarcke EH (1972) Properties of spectral moments with applications to random vibrations. J Eng Mechan (ASCE) 98:425–446

    Google Scholar 

  33. Spanos P, Solomos GP (1983) Markov approximation to transient vibration. J Eng Mechan (ASCE) 109:1134–1150

    Article  Google Scholar 

  34. Jennings PC, Housner GW, Tsai C (1969) Simulated earthquake motions for design purpose. In: Proceedings of 4th world conference on earthquake engineering, Santiago, A-1, pp 145–160

    Google Scholar 

  35. Eurocode 8 (2003) European committee for standardization: design of structures for earthquake resistance—part 1: general rules, seismic actions and rules for buildings. Brussels, Belgium

    Google Scholar 

  36. Borino G, Muscolino G (1986) Mode-superposition methods in dynamic analysis of classically and non-classically damped linear systems. Earthquake Eng Struct Dynam 14:705–717

    Article  Google Scholar 

  37. Lutes LD, Sarkani S (1997) Stochastic analysis of structural and mechanical vibrations. Prentice-Hall, Upper Saddle River

    Google Scholar 

  38. Muscolino G (1996) Dynamically modified linear structures: deterministic and stochastic response. J Eng Mechan (ASCE) 122:1044–1051

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Engineering and Inter-University Centre of Theoretical and Experimental Dynamics (C.I.Di.S.), University of Messina, Messina, Italy

    Giuseppe Muscolino

  2. Department of Engineering, University of Messina, Messina, Italy

    Tiziana Alderucci

Authors
  1. Giuseppe Muscolino
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tiziana Alderucci
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Giuseppe Muscolino .

Editor information

Editors and Affiliations

  1. Civil Engineering, National Technical University of Athens, Athens, Greece

    Manolis Papadrakakis

  2. Department of Civil Engineering and Energy Technology, Oslo and Akershus University College of Applied Sciences, Oslo, Norway

    Vagelis Plevris

  3. School of Civil Engineering, National Technical University of Athens School of Civil Engineering, Athens, Greece

    Nikos D. Lagaros

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Muscolino, G., Alderucci, T. (2017). Seismic Analysis of Structural Systems Subjected to Fully Non-stationary Artificial Accelerograms. In: Papadrakakis, M., Plevris, V., Lagaros, N. (eds) Computational Methods in Earthquake Engineering. Computational Methods in Applied Sciences, vol 44. Springer, Cham. https://doi.org/10.1007/978-3-319-47798-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-47798-5_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-47796-1

  • Online ISBN: 978-3-319-47798-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation