Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Stochastic interpolation of earthquake ground motions under spectral uncertainties

  • Published : 1997.11.25
⟨ Previous Next ⟩

Abstract

Closed-form solutions are analytically derived for stochastic properties of earthquake ground motion fields, which are conditioned by an observed time series at certain observation sites and are characterized by spectra with uncertainties. The theoretical framework presented here can estimate not only the expectations of such simulated earthquake ground motions, but also the prediction errors which offer important information for the field of engineering. Before these derivations are made, the theory of conditional random fields is summarized for convenience in this study. Furthermore, a method for stochastic interpolation of power spectra is explained.

Keywords

References

  1. Borgman, L.E. (1990), "Irregular ocean waves:kinematics and forces", The Sea, 9, Ocean Engrg. Science, Part A, John Wiley & Sons, Inc., 121-168.
  2. Ditlevsen, O. (1991), "Random field interpolation between point by point measured properties", Computational Stochastic Mech, edited by P. D. Spanos and C. A. Brebbia, ComputationComputational Mech. Pub. and Elsevier Applied Science, 801-812.
  3. Gradshteyn, I.H. and Ryzhik, I.M. (1980), Table of Integrals, Series, and Products, Academic Press, San Diego, p.337, $\S$ 3.462.1.
  4. Hoshiya, M. and Kuwana, T. (1993), "Complementary discussions on theory of conditional stochastic field", Struc. Engrg./Earthquake Engrg, Proc. JSCE, No.477/I-25, 93-96, (in Japanese).
  5. Kameda, H. and Morikawa, H. (1992), "An interpolating stochastic process for simulation of conditional random fields", Probabilistic Engineering Mechanics, 7, 243-254. https://doi.org/10.1016/0266-8920(92)90028-G
  6. Kameda, H. and Morikawa, H. (1994), "Conditioned stochastic processes for conditional random fields", J. of Engrg. Mech. Proc. ASCE, 120(4), 855-875. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:4(855)
  7. Kawakami, H. (1989), "Simulation of space-time variation of earthquake ground motion including a recorded time history", Struc. Engrg./Earthquake Engrg., Proc. JSCE, No.410/I-12, 435-443, (in Japanese).
  8. Kawakami, H. and Ono, M. (1992), "Simulation of space-time variation of earthquake ground motion using a recorded time history", Struc. Engrg./Earthquake Engrg., Proc. JSCE, No. 441/I-18, 167-175, (in Japanese).
  9. Morikawa, H. and Kameda, H. (1993), "Conditional random fields with an application to earthquake ground motion", Proc. ICOSSAR '93-The 6th International Conference on Structural Safety and Reliability, Innsbruck, Austria, 2171-2178.
  10. Morikawa, H. and Kameda, H. (1996), "Stochastic interpolation of power spectra using observed earthquake ground motions", Proceedings of 11th World Conference on Earthquake Engineering, Acapulco, Mexico,Disc 3 of 4, Paper No.1244,.
  11. Vanmarcke, E.H. and Fenton, G.A. (1991), "Conditioned simulation of local fields of eartnquake ground motion", Struc. Safety, 10, pp.247-264. https://doi.org/10.1016/0167-4730(91)90018-5

Cited by

  1. Multi-time probability density functions of the dynamic non-Gaussian response of structures vol.76, pp.5, 1997, https://doi.org/10.12989/sem.2020.76.5.631