Skip to main content
SpringerLink
Log in

Simplified analysis of frame structures with viscoelastic dampers considering the effect of soil-structure interaction

  • Published:
Earthquake Engineering and Engineering Vibration Aims and scope Submit manuscript

Abstract

In this study, simplified numerical models are developed to analyze the soil-structure interaction (SSI) effect on frame structures equipped with viscoelastic dampers (VEDs) based on pile group foundation. First, a single degree-of-freedom (SDOF) oscillator is successfully utilized to replace the SDOF energy dissipated structure considering the SSI effect. The equivalent period and damping ratio of the system are obtained through analogical analysis using the frequency transfer function with adoption of the modal strain energy (MSE) technique. A parametric analysis is carried out to study the SSI effect on the performance of VEDs. Then the equilibrium equations of the multi degree-of-freedom (MDOF) structure with VEDs considering SSI effect are established in the frequency domain. Based on the assumption that the superstructure of the coupled system possesses the classical normal mode, the MDOF superstructure is decoupled to a set of individual SDOF systems resting on a rigid foundation with adoption of the MSE technique through formula derivation. Numerical results demonstrate that the proposed methods have the advantage of reducing computational cost, however, retaining the satisfactory accuracy. The numerical method proposed herein can provide a fast evaluation of the efficiency of VEDs considering the SSI effect.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Avilés J and Pérez-Rocha LE (1996), “Evaluation of Interaction Effects on the System Period and System Damping due to Foundation Embedment and Layer Depth,” Soil Dynamics & Earthquake Engineering, 15(1): 11–27.

    Article  Google Scholar 

  • Bielak J (1976), “Modal Analysis for Building-soil Interaction,” Journal of the Engineering Mechanics Division, 102(5): 771–786.

    Google Scholar 

  • Chang KC and Lin YY (2004), “Seismic Response of Full-scale Structure with Added Viscoelastic Dampers,” Journal of Structural Engineering, 130(4): 600–608.

    Article  Google Scholar 

  • Chopra AK (2011), Dynamics of Structures: (Theory and Applications to Earthquake Engineering), Prentice-Hall, Inc., Englewood Cliffs, N.J.

    Google Scholar 

  • Gazetas G, Fan K and Kaynia A (1993), “Dynamic Response of Pile Groups with Different Configuration,” Soil Dynamics & Earthquake Engineering, 12(4): 239–257.

    Article  Google Scholar 

  • Gutierrez JA and Chopra AK (1978), “A Substructure Method for Earthquake Analysis of Structures Including Structure-soil Interaction,” Earthquake Engineering & Structural Dynamics, 6(1): 51–69.

    Article  Google Scholar 

  • Hwang J, Huang Y, Yi S and Ho S (2008), “Design Formulations for Supplemental Viscous Dampers to Building Structures,” Journal of Structural Engineering, 134(1): 22–31.

    Article  Google Scholar 

  • Johnson CD and Kienholz DA (1982), “Finite Element Prediction of Damping in Structures with Constrained Viscoelastic Layers,” AIAA Journal, 20(20): 1284–1290.

    Google Scholar 

  • Kausel E and Roesset JM (1974), “Soil-structure Interaction Problems for Nuclear Containment Structures,” Power Division Specialty Conference, Boulder, Colorado, USA.

    Google Scholar 

  • Lewandowski R, Bartkowiak A and Maciejewski H (2012), “Dynamic Analysis of Frames with Viscoelastic Dampers: A Comparison of Damper Models,” Structural Engineering & Mechanics, 41(1): 113–137.

    Article  Google Scholar 

  • Makris N and Constantinou MC (1991), “Fractional Derivative Maxwell Model for Viscous Dampers,” Journal of Structural Engineering, 117(9): 2708–2724.

    Article  Google Scholar 

  • Mazza F and Vulcano A (2007), “Control of the Alongwind Response of Steel Framed Buildings by Using Viscoelastic or Friction Dampers,” Wind and Structures, 10(3): 233–248.

    Article  Google Scholar 

  • Mazza F and Vulcano A (2011), “Control of the Earthquake and Wind Dynamic Response of Steelframed Buildings by Using Additional Braces and/or Viscoelastic Dampers,” Earthquake Engineering & Structural Dynamics, 40(2): 155–174.

    Article  Google Scholar 

  • Medina C, Aznárez JJ, Padron LA and Maeso O (2013), “Effects of Soil-structure Interaction on the Dynamic Properties and Seismic Response of Piled Structures,” Soil Dynamics & Earthquake Engineering, 3(7): 160–175.

    Article  Google Scholar 

  • Mylonaski G and Gazetas G (1999), “Lateral Vibration and Internal Forces of Grouped Piles in Layered Soil,” Journal of Geotechnical & Geoenvironmental Engineering, 125(1): 16–25.

    Article  Google Scholar 

  • Mylonakis G, Syngros C, Gazetas G, et al. (2006), “The Role in the Collapse of 18 Piers of Hanshin Expressway in the Kobe Earthquake,” Earthquake Engineering & Structural Dynamics, 35(5): 547–575.

    Article  Google Scholar 

  • Nogami T and Konagai K (1986), “Time Domain Axial Response of Dynamically Loaded Single Piles,” Journal of Engineering Mechanics, 112(11): 1241–1252.

    Article  Google Scholar 

  • Sun L and Chen L (2015), “Free Vibrations of a Taut Cable with a General Viscoelastic Damper Modeled by Fractional Derivatives,” Journal of Sound & Vibration, 335: 19–13.

    Article  Google Scholar 

  • Takewaki I and Fujimoto H (2004), “Earthquake Input Energy to Soil-structure Interaction Systems: A Frequency-domain Approach,” Advances in Structural Engineering, 7(5): 399–414.

    Article  Google Scholar 

  • Takewaki I and Uetani K (1999), “Optimal Damper Placement for Building Structures Including Surface Ground Amplification,” Soil Dynamics & Earthquake Engineering, 18(5): 363–371.

    Article  Google Scholar 

  • Ungar EE and Kerwin EM(1962), “Loss Factor of Viscoelastic Systems in Terms of Energy Concepts,” Journal of the Acoustical Society of America, 34(7): 954–957.

    Article  Google Scholar 

  • Veletsos AS and Meek JW (1974), “Dynamic Behavior of Building-foundation Systems,” Earthquake Engineering & Structural Dynamics, 3(2): 121–138.

    Article  Google Scholar 

  • Veletsos AS and Prasad AM (1989), “Seismic Interaction of Structures and Soils: Stochastic Approach,” Journal of Structural Engineering, 115(4): 935–956.

    Article  Google Scholar 

  • Wang H, Liu W, Zhou D, Wang S and Du D (2013), “Lumped-parameter Model of Foundations Based on Complex Chebyshev Polynomial Fraction,” Soil Dynamics & Earthquake Engineering, 50(7): 192–203.

    Article  Google Scholar 

  • Wolf JP (1989), “Soil-structure-interaction Analysis in Time Domain,” Nuclear Engineering & Design, 111(3): 381–393.

    Article  Google Scholar 

  • Wolf JP (1991), “Consistent Lumped-parameter Models for Unbounded Soil: Frequency Independent Stiffness, Damping and Mass Matrices,” Earthquake Engineering & Structural Dynamics, 20(1): 33–41.

    Article  Google Scholar 

  • Wu W and Lee W (2002), “Systematic Lumped-parameter Models for Foundations Based on Polynomial-fraction Approximation,” Earthquake Engineering & Structural Dynamics, 31(7): 383–1412.

    Article  Google Scholar 

  • Zambrano A, Inaudi J and Kelly J (1996), “Modal Coupled and Accuracy of Modal Strain Energy Method,” Journal of Engineering Mechanics, 122(7): 603–612.

    Article  Google Scholar 

  • Zhang RH and Soong TT (1992), “Seismic Design of Viscoelastic Dampers for Structural Applications,” Journal of Structural Engineering, 118(5): 1375–1392.

    Article  Google Scholar 

  • Zhou Y, Guo Y and Zhu Y (2012), “Influence of Soilstructure Interaction Effects on the Performance of Viscous Energy Dissipation Systems,” Proceedings of the 15h World Conference on Earthquake Engineering, Lisbon, Portugal, September 24–28.

    Google Scholar 

Download references

Acknowledgement

The authors are grateful for the financial support from the Natural Science Foundation of China (Grant No. 51678302), the Natural Science Foundation of China(Grant No. 51678301), Jiangsu Province Industry-University-Research joint innovation fund—Prospective joint research project (Grant No. BY2014005-05) and Major Program of Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 14KJA560001).

Author information

Authors and Affiliations

  1. College of Civil Engineering, Nanjing Tech University, Jiangpu Campus, Mail Box 8020, No. 32, Nanjing, 210009, China

    Xuefei Zhao, Shuguang Wang, Dongsheng Du & Weiqing Liu

Authors
  1. Xuefei Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shuguang Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Dongsheng Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Weiqing Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Shuguang Wang.

Additional information

Supported by: National Natural Science Foundation of China under Grant Nos. 51678302 and 51678301, Jiangsu Province Industry-University-Research Joint Innovation Fund—Prospective Joint Research Project under Grant No. BY2014005-05 and Major Program of Natural Science Foundation of the Jiangsu Higher Education Institutions of China under Grant No. 14KJA560001.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhao, X., Wang, S., Du, D. et al. Simplified analysis of frame structures with viscoelastic dampers considering the effect of soil-structure interaction. Earthq. Eng. Eng. Vib. 16, 199–217 (2017). https://doi.org/10.1007/s11803-017-0377-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11803-017-0377-x

Keywords

Search

Navigation