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Waves generated from fictitious focal points to match seismograms recorded

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Abstract

The ground domain is separated into a near field and a far field. The near field encompassing the fictitious focal point is discretized into finite elements. The far field is discretized into infinite elements. The shape functions of these infinite elements are in closed forms and with explicit compositions of constituent waves. The harmonic vibration analysis yields the Fourier transform of any constituent wave in terms of the amplitudes of the three orthogonal force components applied at the focal point, thus in terms of the Fourier transforms of the accelerations in three orthogonal directions recorded at a seismograph station. An appropriate inverse Fourier transform algorithm yields the transient constituent waves. All seismic waves at any points, inside the ground and on the ground surface, can be evaluated. The results can be more refined in case of the availability of simultaneous records at more seismograph stations. In case of two stations, we assume two fictitious focal points. Numerical examples of real site responses are presented by using one single focal point and two simultaneous focal points.

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References

  • Abramowitz, M.;Stegun, I. A. 1965: Handbook of Mathematical Functions, pp. 228–251, 890 and 923. New York: Dover Publications

    Google Scholar 

  • Cagniard, L. 1962: Reflection and Refraction of Progressive Seismic Waves, E. A. Flinn and C. H. Dix (translated and revised), pp. 47–49. New York: McGraw-Hill

    Google Scholar 

  • Cooley, J. W.;Tukey, J. W. 1965: An Algorithm for the Machine Calculation of Complex Fourier Series. Math. of Computation, 19(90): 297–301

    Article  MATH  MathSciNet  Google Scholar 

  • Dickenson, S. E. 1994: Dynamic Response of Soft and Deep Cohesive Soils during the Loma Prieta Earthquake on October 17, 1989, Ph.D. Dissertation, U. California, Berkeley

    Google Scholar 

  • Erdélyi, A.;Magnus, W.;Oberhettinger, F.;Tricomi, F. G. 1954: Tables of Integral Transforms, vol. 1, pp. 8, 14, 64 and 72. New York: McGraw-Hill

    Google Scholar 

  • Finn, W. D. L.;Ventura, C. E.;Wu, G. X. 1993: Analysis of Ground Motions at Treasure Island Site during the 1989 Loma Prieta Earthquake, Soil Dynamics and Earthquake Engineering 12: 383–390

    Article  Google Scholar 

  • Idriss, I. M.;Sun, J. 1992: User's Manual for SHAKE91—A Computer Program for Conducting Equivalent Linear Seismic Response Analyses of Horizontally Layered Soil Deposits, Center for Geotech. Modeling, Dept. Civil & Environmental Eng., U. California, Davis

    Google Scholar 

  • Karasudhi, P.; Liu, Y. C. 1992: Far-Field Waves in Elastic and Viscoelastic Spaces, Recent Advances in Structural Mechanics-1992, edited by Y. W. Kwon, and H. H. Chung, ASME PVP-Vol. 248/NE-Vol. 10, 93–99

  • Karasudhi, P.;Liu, Y. C. 1993: Vibration of Elastic and Viscoelastic Multilayered Spaces, Struct. Eng. Mech., Int. J., 1: 103–118

    Google Scholar 

  • Karasudhi, P.;Wijeyewickrema, A. C.;Lai, T. 1995: Improper Integrals for Infinite Elements in Vibration of Half Spaces, Computational Mech., 16(4): 249–257

    Article  MATH  MathSciNet  Google Scholar 

  • Koppe, H. 1948: Über Rayleigh-Wellen an der Oberfläche zweier Medien, Z. angew. Math. Mech., 28: 355–360

    Article  MATH  MathSciNet  Google Scholar 

  • Rajapakse, R. K. N. D.;Karasudhi, P. 1985: Elastostatic Infinite Elements for Layered Half Spaces, J. Eng. Mech., ASCE, 111: 1144–1158

    Article  Google Scholar 

  • Schnabel, P. B.;Lysmer, J.;Seed, H. B. 1972: SHAKE—A Computer Program for Earthquake Response Analysis of Horizontally Layered Sites, Report No. UCB/EERC-72/12, U. California, Berkeley

    Google Scholar 

  • Seed, H. B.;Idriss, I. M. 1969: The Influences of Soil Conditions on Ground Motions during Earthquakes. J. Soil Mech. & Foundations Div., ASCE, 94(SMI): 99–137

    Google Scholar 

  • Seed, R. B.;Dickenson, S. E.;Riemer, M. F.;Bray, J. D.;Sitar, N.;Michell, J. K.;Idriss, I. M.;Kayen R. E.;Kropp, A.;Harder Jr.,L. F.;Power, M. S. 1990: Preliminary Report on the Principal Geotechnical Aspects of the October 17, 1989 Loma Prieta Earthquake, Report No. UCB/EERC-90/05, U. California, Berkeley

    Google Scholar 

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Authors and Affiliations

  1. School of Civil Engineering, Asian Institute of Technology G.P.O., Box 2754, 10501, Bangkok, Thailand

    T. Lai & P. Karasudhi

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  1. T. Lai
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  2. P. Karasudhi
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Communicated by S.N. Atluri, 27 June 1996

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Lai, T., Karasudhi, P. Waves generated from fictitious focal points to match seismograms recorded. Computational Mechanics 19, 69–76 (1996). https://doi.org/10.1007/BF02757785

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  • DOI: https://doi.org/10.1007/BF02757785

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