DOI QR코드

DOI QR Code

A Speed-Up in Computing Time for SSI Analysis by p-version Infinite Elements

p-version 무한요소를 적용한 지반-구조물 상호작용해석의 계산속도 향상

  • Lim, Jae-Sung (Department of Marine and Civil Engineering, Chonnam National University) ;
  • Son, Il-Min (Department of Marine and Civil Engineering, Chonnam National University) ;
  • Kim, Jae-Min (Department of Marine and Civil Engineering, Chonnam National University) ;
  • Seo, Choon-Gyo (KEPCO E&C)
  • 임재성 (전남대학교 해양토목공학과) ;
  • 손일민 (전남대학교 해양토목공학과) ;
  • 김재민 (전남대학교 해양토목공학과) ;
  • 서춘교 (한국전력기술(주))
  • Received : 2016.08.23
  • Accepted : 2016.09.05
  • Published : 2016.10.30

Abstract

In this study, we focused on a speed-up of KIESSI-3D program, which is based on FE-IE techniques, by introducing a p-version dynamic infinite element method. In order to evaluate performance of the KIESSI-3D, numerical analyses for eight real-scale SSI problems are carried out. We considered three types of KIESSI-3D numerical models whose radii of near-field soil region($r_0$)are 1.2, 1.5, and 3.0 times of basemat radius of structure(R). In addition, SSI analyses using the SASSI2010 program are carried out used for comparison of accuracy and runtime against those of the KIESSI-3D. Numerical results show that the KIESSI-3D model of $r_0=1.2R$ is enough to give accurate solution. In view of the computing speed, the new KIESSI-3D was up to 25 times faster than the old KIESSI-3D.

이 연구에서는 p-version 동적무한요소법을 도입함으로써 FE-IE 기법에 기반한 KIESSI-3D 프로그램의 속도향상에 역점을 두었다. KIESSI-3D의 성능을 평가하기 위해 8가지 실규모 SSI 문제에 대한 수치해석을 수행하였다. 이를 위해 근역지반 모델의 반경($r_0$)이 구조물기초 반경(R)의 1.2배, 1.5배, 3.0배인 KIESSI-3D 해석모델을 고려하였다. 또한 SASSI2010 프로그램을 이용한 SSI 해석을 수행하였으며, 이 결과를 KIESI-3D에 의한 결과와 정확성 및 계산속도를 비교하였다. 수치해석 결과, 인 KIESI-3D 모델을 사용하면 정확한 해석을 수행할 수 있음을 알 수 있었다. 계산속도 측면을 보면, 새로운 KIESSI-3D의 해석속도는 기존 KIESSI-3D에 비해 최대 25배 빠른 것으로 나타났다.

Keywords

References

  1. Bachman, G., Narici, L. (1988) Functional Analysis, 2nd edition, Dover Publications.
  2. Basu, U., Chopra, A.K. (2003) Perfectly Matched Layers for Time-Harmonic Elastodynamics of Unbounded Domains: Theory and Fnite-element Implementation, Comput. Methods Appl. Mech. & Eng., 192, pp.1337-1375. https://doi.org/10.1016/S0045-7825(02)00642-4
  3. Basu, U., Chopra, A.K. (2004) Perfectly Matched Layers for Transient Elastodynamics of Unbounded Domains, Int. J. Num. Methods Eng., 59, pp.1039-1074. https://doi.org/10.1002/nme.896
  4. Bechtel National Inc. (2011) User's Manual for SASSI2010, Version 1.0, November
  5. Beskos, D.E. (1997) Boundary Element Methods in Dynamic Analysis: Part II (1986-1996), Applied Mechanics Review, 50, pp.149-197. https://doi.org/10.1115/1.3101695
  6. Chow, Y.K., Smith, I.M. (1981) Static and Periodic Infinite Solid Elements, Int. J. Num. Meth. Eng., 17, pp.503-526. https://doi.org/10.1002/nme.1620170403
  7. Ghiocel Predictive Technologies, Inc. (2016) User Manual for ACS SASSI - An Advanced Computational Software for 3D Dynamic Analysis Including Soil-Structure Interaction, Version 3.0.
  8. Karasudhi, P.(1991) Foundation of Solid Mechanics, Kluwer Academic Publishers.
  9. Kim, J.M. et al. (2016) Development of World-Class Fundamental Technologies for Nonlinear Fluid-Structure-Soil Interaction Analysis by developing p-version Dynamic Infinite Elements and Performing Sloshing Shaking Table Tests, Research Report, No. 14CTAP-C077514-01, Korea Agency for Infrastructure Technology Advancement.
  10. Kim, J.M., Lee, E.H., Chung, K.Y., Seo, C.G. (2012) Applicability of KIESSI-3D Program for Soil-Structure Interaction Analysis, Proc. KSCE Conference.
  11. Kornenev, B.G. (2002) Bessel Functions and their Applications, page 126, Chapman & Hall / CRC.
  12. Lee, J.H., Kim, J.K., Kim, J.H. (2016) Nonlinear Earthquake Response Analysis of a Soil-Structure Interaction System Subjected to a Three-Dimensional Ground Motion, J. Comput. Struct. Eng. Inst. Korea, 29(4), pp.317-325. https://doi.org/10.7734/COSEIK.2016.29.4.317
  13. Liou, G.S. (1989) Analytical Solutions for Soil-Structure Interaction in Layered Media, Earth. Eng. Str. Dyn., 18, pp.667-686. https://doi.org/10.1002/eqe.4290180507
  14. Lysmer, J., Tabatabaie, M., Tajirian, F., Vahdani, S., Ostadan, F. (1981) SASSI - A System for Analysis of Soil-Structure Interaction, Report No. UCB/GT/81-02, Department of Civil Engineering, University of California, Berkeley.
  15. Medina, F., Penzien, J. (1982) Infinite Elements for Elastodynamics, Earth. Eng. Str. Dyn., 10, pp.699-709. https://doi.org/10.1002/eqe.4290100507
  16. Medina, F., Taylor, R.L. (1983) Finite Element Techniques for Problems of Unbounded Domains, Int. J. Num. Meth. Eng., 19, pp.1209-1226. https://doi.org/10.1002/nme.1620190808
  17. MTR/SASSI (2015) System for Analysis of Soil-Structure Interaction - User's Manual, MTR & Associates, Lafayette, CA.
  18. PARDISO, www.pardiso-project.org.
  19. Richart, F.E., Hall, J.R., Woods, R.D. (1970) Vibrations of Soils and Foundations, Prentice Hall, Inc.
  20. Ryu, J.S., Seo, C.G., Kim, J.M., Yun, C.B. (2010) Seismic Response Analysis of Soil-Structure Interactive System using a Coupled Three-dimensional FE-IE Method, Nuclear Eng. & Design, 240, pp.1949-1966. https://doi.org/10.1016/j.nucengdes.2010.03.028
  21. Seo, C.G., Kim, J.M. (2012) KIESSI Program for 3-D Soil-Structure Interaction Analysis, Computational Structural Engineering, COSEIK, 25(3), pp.77-83.
  22. Seo, C.G., Yun, C.B., Kim, J.M. (2007) Three-dimensional Frequency Dependent Infinite Elements for Soil-Structure Interaction, Eng. Str., 29, pp.3106-3120. https://doi.org/10.1016/j.engstruct.2007.02.006
  23. Tzong, T.J., Penzien, J. (1983) Hybrid Modelling of Soil-Structure Interaction in Layered Media, Report No. UCB/EERC-83/22, Earthquake Eng. Research Center, UCB, CA, USA.
  24. Ungless, R.F. (1973). An Infinite Element. M.S. thesis, University of British Columbia.
  25. Yang, S.C., Yun, C.B. (1992) Axisymmetric Infinite Elements for Soil-Structure Interaction Analysis, Eng. Str., 14, pp.361-370. https://doi.org/10.1016/0141-0296(92)90019-M
  26. Yun, C.B., Chang, S.H., Seo, C.G., Kim, J.M. (2007) Dynamic Infinite Elements for Soil-Structure Interaction Analysis in a Layered Soil Medium, Int. J. Struct. Stability and Dyn., 7(4), pp.693-713. https://doi.org/10.1142/S0219455407002496
  27. Yun, C.B., Kim, D.K., Kim, J.M. (2000) Analytical Frequency-Dependent Infinite Elements for Soil-Structure Interaction Analysis in Two-dimensional Medium, Eng. Str., 22, pp.258-271. https://doi.org/10.1016/S0141-0296(98)00070-4
  28. Yun, C.B., Kim, J.M., Hyun, C.H. (1995) Axisymmetric Elastodynamic Infinite Elements for Multi-layered Half-space, Int. J. Num. Meth. Eng., 38, pp.3723-3743. https://doi.org/10.1002/nme.1620382202
  29. Zhao, C., Valliappan, S. (1993) A Dynamic Infinite Element for Three-dimensional Infinite-domain Wave Problems, Int. J. Num. Meth. Eng., 36, pp.2567-2580. https://doi.org/10.1002/nme.1620361505