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Shock and Vibration
Volume 2018, Article ID 7382392, 12 pages
https://doi.org/10.1155/2018/7382392
Research Article

A Simple Model for Vertical Dynamic Interactions among a Group of Strip Footings Rested on Homogeneous Half-Space

1College of Mechanical & Electrical Engineering, Hohai University, Changzhou 213022, China
2College of Civil Engineering, Nanjing Tech University, Nanjing 211816, China

Correspondence should be addressed to Jue Wang; moc.liamg@tujntajw

Received 10 April 2018; Revised 19 June 2018; Accepted 28 June 2018; Published 25 July 2018

Academic Editor: Roberto Nascimbene

Copyright © 2018 Jue Wang and Ding Zhou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. P. Wolf, Dynamic Soil-Structure Interaction, Prentice-Hall, Englewood Cliffs, NJ, USA, 1985.
  2. S. C. Dutta and R. Roy, “A critical review on idealization and modeling for interaction among soil–foundation–structure system,” Computers and Structures, vol. 80, no. 20, pp. 1579–1594, 2002. View at Publisher · View at Google Scholar · View at Scopus
  3. J. M. Roesset, “Soil structure interaction the early stages,” Journal of Engineering and Applied Sciences, vol. 16, no. 1, pp. 1–8, 2013. View at Google Scholar
  4. E. S. Reissner, “Axialsymmetrische durch eine sehuttelnde masse erregte sehwingungen-eines homogenen elastisehen halbraumes,” Ingenieur-Archiv, vol. 7, no. 6, pp. 381–396, 1936. View at Publisher · View at Google Scholar · View at Scopus
  5. T. Y. Sung, “Vibration in semi-infinite solids due to periodic surface loadings,” Symposium on Dynamic Testing of Soils, vol. 156, no. 1, pp. 35–64, 1953. View at Google Scholar
  6. G. N. Bycroft, “Forced vibrations of a rigid circular plate on a semi-infinite elastic space and on an elastic stratum,” Philosophical Transactions of the Royal Society A, vol. 248, no. 948, pp. 327–368, 1956. View at Publisher · View at Google Scholar
  7. I. Anam and J. M. Roesset, “Dynamic stiffnesses of surface foundations: an explicit solution,” International Journal of Geomechanics, vol. 4, no. 3, pp. 216–223, 2004. View at Publisher · View at Google Scholar
  8. J. E. Luco and R. A. Westmann, “Dynamic response of a rigid footing bonded to an elastic half-space,” Journal of Applied Mechanics, vol. 39, no. 2, pp. 527–534, 1972. View at Publisher · View at Google Scholar · View at Scopus
  9. X. H. Ma, Y. M. Cheng, and S. K. Au, “Rocking vibration of a rigid strip footing on saturated soil,” Computers and Geotechnics, vol. 36, no. 6, pp. 928–933, 2009. View at Publisher · View at Google Scholar · View at Scopus
  10. T. Jiang and X. X. Song, “Analysis of impedance functions of strip foundations embedded in stratified soils by using thin layer method,” Chinese Quarterly of Mechanics, vol. 30, no. 1, pp. 62–70, 2009. View at Google Scholar
  11. E. Kausel and J. M. Roesset, “Semianalytic hyperelement for layered strata,” Journal of Engineering Mechanical Division, vol. 103, no. 4, pp. 569–588, 1977. View at Google Scholar
  12. G. Lin, Z. J. Han, H. Zhong, and J. B. Li, “A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space,” Soil Dynamics and Earthquake Engineering, vol. 49, no. 3, pp. 96–108, 2013. View at Publisher · View at Google Scholar · View at Scopus
  13. W. X. Zhong, J. H. Lin, and Q. Gao, “The precise computation for wave propagation in stratified material,” Int. J. Numer. Meth. Eng., vol. 60, no. 1, pp. 11–25, 2004. View at Publisher · View at Google Scholar · View at Scopus
  14. Y. Wang, R. K. N. D Rajapakse, and A. H. Shah, “Dynamic interaction between flexible strip foundations,” Earthquake Engineering and Structural Dynamics, vol. 20, no. 5, pp. 441–454, 1991. View at Publisher · View at Google Scholar · View at Scopus
  15. M. L. Lou, H. F. Wang, X. Chen, and Y. Zhai, “Structure–soil–structure interaction: literature review,” Soil Dynamics and Earthquake Engineering, vol. 31, no. 12, pp. 1724–1731, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. R. A. Parmelee, “Building-foundation interaction effects,” Journal of Engineering Mechanical Division, vol. 93, pp. 131–152, 1967. View at Google Scholar
  17. G. B. Warburton, J. D. Richardson, and J. J. Webster, “Forced vibrations of two masses on an elastic half space,” Journal of Applied Mechanics, vol. 38, no. 1, pp. 148–156, 1971. View at Publisher · View at Google Scholar · View at Scopus
  18. G. S. Liou, “Dynamic stiffness matrices for two circular foundations,” Earthquake Engineering and Structural Dynamics, vol. 23, no. 2, pp. 193–210, 1994. View at Publisher · View at Google Scholar · View at Scopus
  19. R. Betti, “Effects of the dynamic cross-interaction in the seismic analysis of multiple embedded foundations,” Earthquake Engineering and Structural Dynamics, vol. 26, no. 10, pp. 1005–1019, 1997. View at Publisher · View at Google Scholar
  20. T. Chrysoula and W. Armand, “Simulation of seismic response in an idealized city,” Soil Dynamics and Earthquake Engineering, vol. 23, no. 5, pp. 391–402, 2003. View at Publisher · View at Google Scholar · View at Scopus
  21. L. A. Padron, J. J. Aznarez, and O. Maeso, “Dynamic structure–soil–structure interaction between nearby piled buildings under seismic excitation by BEM–FEM model,” Soil Dynamics and Earthquake Engineering, vol. 29, no. 6, pp. 1084–1096, 2009. View at Publisher · View at Google Scholar · View at Scopus
  22. P. Ghosh, “FLAC based numerical studies on dynamic interference of two nearby embedded machine foundations,” Geotechnical and Geological Engineering, vol. 30, no. 5, pp. 1161–1181, 2012. View at Publisher · View at Google Scholar · View at Scopus