Skip to main content
Log in

Dynamic response of cylindrical structures considering coupled soil-structure interaction under seismic loading

  • Original Research Paper
  • Published:
Bulletin of Earthquake Engineering Aims and scope Submit manuscript

Abstract

This paper attempts to develop a mathematical model for estimating the seismic response of a cylindrical shaped nuclear reactor building resting in an elastic halfspace considering foundation compliance. Most of the research carried out on this topic has either been carried out by resorting to finite element method (FEM) which makes the computational cost expensive or based on the simplifying assumption of assuming the cylindrical structure as a multi degree lumped mass stick model with soil coupled as boundary springs. In the present paper an analytical model has been developed in which the deformation of the cylindrical body (including its shear deformation characteristics) has been taken into cognizance and then coupling with foundation stiffness a comprehensive solution has been sought based on Galerkin’s weighted residual technique. The results are finally compared with FEM to check the reliability of the same. The results are found to be in good agreement with the detailed finite element 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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26

Similar content being viewed by others

References

  • Abrowmiz M, Stegan I (1964) Handbook of mathematical functions. U.S. Department of Commerce, Washington

    Google Scholar 

  • Arany L, Bhattacharya S, Adhikari S, Hogan SJ, Macdonald JHG (2015) An analytical model to predict the natural frequency of offshore wind turbines on three spring flexible foundations using two different beam models. J Soil Dyn Earthq Eng 74:40–45

    Article  Google Scholar 

  • Bathe KJ (1980) Finite element in engineering procedure. Prentice Hall Publication, USA

    Google Scholar 

  • Bolisetti C, Whittaker AS (2011) Seismic structure-soil-structure interaction in nuclear power plant structures. In: Proceedings of 21st international conference in structural mechanics in reactor technology, SMiRT, New Delhi, India

  • Chowdhury I, Dasgupta SP (2012) Seismic response of piles under earthquake force. Indian Geotech J 42(2):57–74

    Article  Google Scholar 

  • Chowdhury I, Dasgupta SP (2014) Analysis of Anchored sheet piles under static load. Electron J Geotech Eng 19(P), 4041–4063

  • Chowdhury I, Singh JP (2015) Behavior of gravity type retaining wall under earthquake load. J Earthq Eng 19(4):563–591

    Article  Google Scholar 

  • Chowdhury I, Singh JP, Tilak R (2012) Seismic response of well foundation with dynamic soil structure interaction. In: Proceedings of 15th world conference in earthquake engineering, Lisbon, Portugal

  • Chowdhury I, Singh JP, Dasgupta SP (2013a) Static and dynamic response of concrete dams. Int J Dam Eng XXIII(3):129–182

  • Chowdhury I, Singh JP, Dasgupta SP (2013b) Dynamic response of partially embedded cylindrical structures considering foundation compliance. In: Proceedings of 22nd international conference, structural mechanics in reactor technology SMiRT; San Francisco, USA

  • Christine R, Roffel AJ, Bolourchi S, Todorovski L, Mahmoud K (2013) Study of seismic structure-soil-structure interaction between two heavy structures. In: Proceedings of 22nd international conference, structural mechanics in reactor technology, SMiRT, San Francisco, USA

  • Divya O, Sattyam N (2011) Dynamic analysis of nuclear reactor building considering soil-structure interaction. Int J Earth Sci Eng 12(2):111–122

    Google Scholar 

  • Dowrick DJ (2002) Earthquake risk reduction. Wiley, New York

    Google Scholar 

  • Hashemi A (2012) Soil structure interaction effects on a nuclear containment structure. Bechtel report to USNRC, November, USA

  • Karnovsky I, Lebed O (2001) Formulas for structural dynamics. Mcgrawhill Publication, New York

    Google Scholar 

  • Kausel E, Pais A (1998) Formulas for dynamics stiffness of rigid foundation. J Soil Dyn Earthq Eng 7:213–226

    Google Scholar 

  • Kim HK, Moreschi L (2013) Finite element model of interior concrete structures for seismic analysis with high frequency content. In: Proceeding of the 22nd international conference structural mechanics in reactor technology, SMiRT, Sanfranciso, USA

  • NIST GCR 12-917-21 (2012) Soil structure interaction for building structures. National Institute of Standard US department of Commerce, Gaithersburg, USA

  • Sankarnaryan R, Tissot S, Oswald T, Schmitt T, Wong C (2013) Foundation analysis of large nuclear island for soil cases. In: Proceedings of 22nd international conference structural mechanics in reactor technology, SMiRT, Sanfranciso, USA

  • Seo CG, Lee SH, Park HS, Choi CS (2013) Seismic analysis of base isolated nuclear power plant considering soil structure interaction. In: Proceedings of 22nd international conference structural mechanics in reactor technology, SMiRT, Sanfranciso, USA

  • Shames I, Dym CL (1995) Energy and finite element method in structural mechanics. New Age Publisher, New Delhi

    Google Scholar 

  • Veletsos AS, Meek JW (1974) Dynamic behavior of building-foundation systems. Earthq Eng Struct Dynam 3(2):121–138

    Article  Google Scholar 

  • Whitman RV (1970) Soil structure interaction seismic design of nuclear power plants. MIT Press, Cambridge

    Google Scholar 

  • Wolf JP (1985) Dynamic soil structure interaction in time domain. Prentice Hall Publication, New Jersey

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shambhu Pada Dasgupta.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chowdhury, I., Tarafdar, R., Ghosh, A. et al. Dynamic response of cylindrical structures considering coupled soil-structure interaction under seismic loading. Bull Earthquake Eng 14, 2329–2360 (2016). https://doi.org/10.1007/s10518-016-9909-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-016-9909-4

Keywords

Navigation