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Advances in Civil Engineering
Volume 2018, Article ID 9760361, 10 pages
https://doi.org/10.1155/2018/9760361
Research Article

B-Spline Impulse Response Functions of Rigid Bodies for Fluid-Structure Interaction Analysis

1Former Graduate Research Assistant, Chicago Bridge & Iron Company, Aiken, SC, USA
2Department of Civil and Environmental Engineering, University of South Carolina, 300 Main Str., Columbia, SC 29205, USA

Correspondence should be addressed to D. C. Rizos; ude.cs.rgne@sozir

Received 11 December 2017; Revised 15 March 2018; Accepted 9 August 2018; Published 11 October 2018

Academic Editor: Pier Paolo Rossi

Copyright © 2018 S. Zhou-Bowers and D. C. Rizos. 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. D. C. Rizos and D. L. Karabalis, “Soil-fluid-structure interaction,” in Wave Motion Problems in Earthquake Engineering, E. Kausel and G. D. Manolis, Eds., WIT Press, Southampton, UK, 1999. View at Google Scholar
  2. S. Kirkup, The Boundary Element Method in Acoustics, Integrated Sound Software Yorkshire, Yorkshire, UK, 1998.
  3. M. Fischer and L. Gaul, “Fast BEM–FEM mortar coupling for acoustic–structure interaction,” International Journal for Numerical Methods in Engineering, vol. 62, no. 12, pp. 1677–1690, 2005. View at Publisher · View at Google Scholar · View at Scopus
  4. S. Schneider, “FE/FMBE coupling to model fluid–structure interaction,” International Journal for Numerical Methods in Engineering, vol. 76, no. 13, pp. 2137–2156, 2008. View at Publisher · View at Google Scholar · View at Scopus
  5. C. T. Dyka, R. P. Ingel, and G. C. Kirby, “Stabilizing the retarded potential method for transient Fluid-Structure Interaction problems,” International Journal for Numerical Methods in Engineering, vol. 40, no. 20, pp. 3767–3783, 1997. View at Publisher · View at Google Scholar
  6. L. Gaul, M. Wanger, W. Wenzel, and N. Dumont, “Numerical treatment of acoustic problems with the hybrid Boundary Element Method,” International Journal of Solids and Structures, vol. 38, no. 10–13, pp. 1871–1888, 2001. View at Publisher · View at Google Scholar · View at Scopus
  7. D. S. Júnior, “Acoustic modelling by BEM–FEM coupling procedures taking into account explicit and implicit multi-domain decomposition techniques,” International Journal of Numerical Methods in Engineering, vol. 78, no. 9, pp. 1076–1093, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. K. J. Bathe, Finite Element Procedures, Prentice-Hall, Englewood Cliffs, NJ, USA, 1995.
  9. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, vol. 1, McGraw-Hill, London, UK, 1991.
  10. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, vol. 2, McGraw-Hill, London, UK, 1994.
  11. C. A. Brebbia, J. C. F. Telles, and L. Wrobel, Boundary Element Techniques: Theory and Applications in Engineering, Springer, Berlin, Germany, 1984.
  12. C. J. Zheng, H. B. Chen, H. F. Gao, and L. Du, “Is the Burton-Miller formulation really free of fictitious eigenfrequencies?” Engineering Analysis with Boundary Elements, vol. 59, pp. 43–51, 2015. View at Publisher · View at Google Scholar · View at Scopus
  13. P. Zheng, B. Y. Ding, and S. X. Zhao, “Frequency domain fundamental solutions for a poroelastic half-space,” Acta Mechanica Sinica, vol. 30, no. 2, pp. 206–213, 2014. View at Publisher · View at Google Scholar · View at Scopus
  14. A. Robinson, C. Schroeder, and R. Fedkiw, “A symmetric positive definite formulation for monolithic fluid structure interaction,” Journla of Computational Physics, vol. 230, no. 4, pp. 1547–1566, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. U. Lacis, K. Taira, and S. Bagheri, “A stable fluid-structure-interaction solver for low-density rigid bodies using the immersed boundary projection method,” Journal of Computational Physics, vol. 305, no. 15, pp. 300–318, 2016. View at Publisher · View at Google Scholar · View at Scopus
  16. W. Dettmer and D. Peric, “A computational framework for fluid–structure interaction: finite element formulation and applications,” Computational Methods in Applied Mechanics and Engineering, vol. 195, no. 41–43, pp. 5754–5779, 2006. View at Publisher · View at Google Scholar · View at Scopus
  17. C. Wood, A. J. Gil, O. Hassan, and J. Bonet, “A partitioned coupling approach for dynamic fluid–structure interaction with applications to biological membranes,” International Journal for Numerical Methods in Fluids, vol. 57, no. 5, pp. 555–581, 2008. View at Publisher · View at Google Scholar · View at Scopus
  18. M. R. Ross, C. A. Felippa, K. C. Park, and M. A. Sprague, “Treatment of acoustic fluid-structure interaction by localized Lagrange multipliers: Formulation,” Computational Methods in Applied Mechanics and Engineering, vol. 197, no. 33–40, pp. 3057–3079, 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. E. H. Dowell and K. C. Hall, “Modelling of fluid-structure interaction,” Annuals Review of Fluid Mechanics, vol. 33, no. 1, pp. 445–490, 2001. View at Publisher · View at Google Scholar · View at Scopus
  20. M. C. Romanowski and E. H. Dowell, “Reduced order euler equation for unsteady aerodynamics flow: numerical techniques,” in Proceedings of 34th Aerospace Sciences Meeting and Exhibit, Reno, NV, USA, January 1996.
  21. M. L. Baker, D. L. Mingori, and P. J. Goggin, “Approximate subspace iteration for constructing internally balanced reduced order model of unsteady aerodynamic systems,” in Proceedings of 34th Aerospace Sciences Meeting and Exhibit, pp. 1070–1085, Reno, NV, USA, January 1996.
  22. M. Karpel, “Design for active flutter suppression and gust alleviation using state-space aeroelastic modelling,” Journal of Aircraft, vol. 19, no. 3, pp. 221–227, 1982. View at Publisher · View at Google Scholar · View at Scopus
  23. D. C. Rizos and S. Zhou, “An advanced direct time domain BEM for 3-D wave propagation in acoustic media,” Journal of Sound and Vibration, vol. 293, no. 1-2, pp. 196–212, 2006. View at Publisher · View at Google Scholar · View at Scopus
  24. D. C. Rizos, “A rigid surface boundary element for 3-D soil-structure interaction analysis in the direct time domain,” Computational Mechanics, vol. 26, no. 6, pp. 582–591, 2000. View at Publisher · View at Google Scholar · View at Scopus
  25. D. C. Rizos and K. Loya, “Dynamic and seismic analysis of foundations based on free field B-spline characteristic response histories,” ASCE Journal of Engineering Mechanics, vol. 28, no. 4, pp. 438–447, 2002. View at Publisher · View at Google Scholar · View at Scopus
  26. H. Stehmeyer and D. C. Rizos, “B-spline impulse response functions (BIRF) for transient SSI analysis of rigid foundations,” Soil Dynamics and Earthquake Engineering, vol. 26, no. 5, pp. 421–434, 2006. View at Publisher · View at Google Scholar · View at Scopus
  27. M. Damodar and K. B. Sirman, “A parametric study on fluid-structure interaction problems,” Journal of Sound and Vibration, vol. 263, no. 4, pp. 917–935, 2003. View at Publisher · View at Google Scholar · View at Scopus
  28. J. Mulliken and D. C. Rizos, “Efficient coupling schemes of time domain computational methods for transient problems in elastodynamics,” Soil Dynamics and Earthquake Engineering, vol. 34, no. 1, pp. 78–88, 2012. View at Publisher · View at Google Scholar · View at Scopus
  29. D. C. Rizos, “Advanced boundary element method for general 3-D elastodynamic problems,” Ph.D. Dissertation, Department of Civil Engineering, University of South Carolina, Columbia, SC, USA, 1993.
  30. O. Czygan and O. von Estorff, “Fluid-structure interaction by coupling BEM and nonlinear FEM,” Engineering Analysis with Boundary Elements, vol. 26, no. 9, pp. 773–779, 2002. View at Publisher · View at Google Scholar · View at Scopus