Browse > Article
http://dx.doi.org/10.7843/kgs.2006.22.4.5

A Method for Nonlinear Dynamic Response Analysis of Semi-infinite Foundation Using Mapping  

Lee Choon-Kil (Highway & Transporation Technology Institute)
Publication Information
Journal of the Korean Geotechnical Society / v.22, no.4, 2006 , pp. 5-10 More about this Journal
Abstract
A special finite difference method for nonlinear dynamic response analysis of semi-infinite foundation soil using mapping which transforms semi-infinite domain into finite domain is presented here. For the region of engineering interest, mapping is isometric, and fur far field, shrink mapping which transforms infinite interval into finite interval is adopted. At first, the responses of semi-infinite foundation soil with linear constituting model are computed, and compared with theoretical results and those of existing method. Good agreements are obtained among the results of the proposed method, Lamb's theory and FEM with extensive mesh model. Then the responses of infinite foundation soil are computed by the present method, using small and large mesh model. The results of small and large mesh models agree well with each other, demonstrating the effectiveness of the proposed method.
Keywords
Finite difference method; Mapping; Nonlinear response analysis; Semi-infinite foundation soil;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Watanabe, H., Cao, Z. (1998), 'Upstream Boundary of Reservoir in Dynamic Analysis', Journal of Engineering Mechanics, ASCE, Vol.124, No.4, pp.468-470   DOI   ScienceOn
2 Wolf, J.P (1988), 'oil-Structure-Interaction Analysis in time Domain', Prentice-Hall
3 Wen, Y.K. (1976), 'Method for Random Vibration of Hysteretic Systems', Journal of The Engineering Mechanics Division, pp. 249-263
4 塩尻弘雄(1986), 水と岩盤との相互作用を考慮した構造物の地震応答解析法の硏究, 電力中央硏究所報告, pp.99-102
5 Berenger, J.P (1994), 'A Perfectly Matched Layer for the Absorption of Electromagnetic Waves', Journal of Computational Physics, 114, pp.185-200   DOI   ScienceOn
6 力武常次, 左腦良輔, 萩原幸男 (1980), 物理数学 II 地球科学を 主体として(応用編), 学会誌刊行センタ一
7 Nakagawa, T.T. (1986), 'The near-field difference solution for wave propagation problems in infinite media', Studies in Mathematics and Its Applications, Kinokuniya/North-Holland Publishing Co., 18, pp.561
8 Hastings, F.D., Schneider, J.D., and Brdschat, S.L. (1996), 'Application of the perfectly mactched layer (PML) Absorbing boundary condition to elastic wave propagation', Journal. Acoust. soc. Am. 100(5), pp. 3061-3069   DOI   ScienceOn
9 Shiojiri, H., Nakagawa, T.T. (1994), 'Soil-Structure-lnteraction:Nwrerical Analysis and Modelling', The Chapter 6 Earthquake Response of Dams, E&FN SPON, pp.202-230
10 Wolf, J.P (1996), Chongmin Song, Finite-Element Modelling of Unbounded Media, John Wiley&Sons