Advertisement

Evaluation of Damping

  • Nozomu Yoshida
Chapter
  • 1.2k Downloads
Part of the Geotechnical, Geological and Earthquake Engineering book series (GGEE, volume 36)

Abstract

The equation of motion is introduced in Chap.  9 as
$$ m\ddot{u}+c\dot{u}+ ku=-m{\ddot{u}}_g, $$
or
$$ \ddot{u}+2h{\omega}_0\dot{u}+{\omega}_0^2u=-{\ddot{u}}_g $$
The damping term is recognized as the velocity proportional term in general. There is, however, more damping in the practice, which are listed in the following and will be explained in this chapter:

Keywords

Seismic Response Engineering Practice Wave Scattering Spectral Ratio Neighboring Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Central Disaster Prevention Council, Cabinet Office of Japan (2005) Report of expert committee on Tonankai and Tokai earthquakes (in Japanese)Google Scholar
  2. Finn WDL, Martin GR, Lee MKW (1978) Comparison of dynamic analyses for saturated sands, earthquake engineering and soil dynamics, ASCE, GT special conference, vol 1, pp 472–491Google Scholar
  3. Fukushima Y, Midorikawa S (1994) Evaluation of site amplification factors base on average characteristics of frequency dependent Q-1 of sedimentary strata. J Struct Constr Eng AIJ 460:37–46 (in Japanese)Google Scholar
  4. Hara A, Kiyota Y (1977) Study on dynamic property of soil for the earthquake response analysis of ground -elastic shear modulus. In: Proceedings of the 14th Japan national conference of soil mechanics and foundation engineering, JSSMFE, Okinawa, pp 533–536 (in Japanese)Google Scholar
  5. Ishida K et al (1984) On damping of ground -estimation of Q value by optimization-, programme and abstracts, the seismological society of Japan, p 149 (in Japanese)Google Scholar
  6. Kiyota Y, Hagiwara T (1993) Earthquake response analysis based on equivalent linearization of soil constants in modal region part III estimation of damping property during very small ground motion, summaries of the technical papers of annual meeting of AIJ (Kanto), Tokyo, pp 217–218 (in Japanese)Google Scholar
  7. Kokusho T (1986) Damping characteristics of soil, dynamic characteristics of soil for seismic response analysis. JSSMFE, pp 45–51 (in Japanese)Google Scholar
  8. Kokusho T (1992) Dynamic characteristics of ground, lecture: analytical method of the interaction between ground and structure. Tsuchi-to-Kiso 40(4):76–84 (in Japanese)Google Scholar
  9. Kurita T, Tsuzuki T, Annaka T, Shimada M, Fujitani M (1966) Scattering attenuation of seismic waves in inhomogeneous media. In: Proceedings of the 11th WCEE, MexicoGoogle Scholar
  10. Muto K, Kobayashi T (1977) Comparative study of various damping theory frequently used in aseismic design of nuclear power plant. J Struct Constr Eng AIJ 255:35–45 (in Japanese)Google Scholar
  11. Nakamura S, Sawada S, Yoshida N (2005) Modeling of surface ground for nonlinear analysis, Part 2. In: Proceedings of the 3rd symposium on strong motion prediction master plan for earthquake disaster reduction, pp 101–104 (in Japanese)Google Scholar
  12. Ohsaki Y (1980) Vibration theory. Shokoku-sha, 302 pp (in Japanese)Google Scholar
  13. Suetomi I (2000) A study on real time estimation of earthquake motion distribution during strong earthquake, theses submitted to Kyoto University for partial fulfillment of doctor’s degree (in Japanese)Google Scholar
  14. Suetomi I, Yoshida N (1998) Damping characteristics of soil deposits during strong ground motions. In: Proceedings of the 2nd international symposium on the effect of surface geology on seismic motion, Yokosuka, Japan, vol 2, pp 765–772Google Scholar
  15. Togawa H (1975) Vibration analysis by finite element method. Science-sha (in Japanese)Google Scholar
  16. Yoshida N (1994) Applicability of conventional computer code SHAKE to nonlinear problem. In: Proceedings of symposium on amplification of ground shaking in soft ground, JSSMFE, pp 14–31 (in Japanese)Google Scholar
  17. Yoshida N, Suetomi I, Kato N, Miura K (1997) Parametric study on effectiveness of dynamic response analysis by equivalent linear method. In: Proceedings of the 32nd Japan national conference of geotechnical engineering, pp 877–878 (in Japanese)Google Scholar
  18. Yoshida N, Sawada S, Nakamura S (2006) Effect of damping on earthquake response of ground and its accuracy. J JAEE 4(4):55–73 (in Japanese)Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • Nozomu Yoshida
    • 1
  1. 1.Department of Civil and Environment EngineeringTohoku Gakuin UniversityMiyagiJapan

Personalised recommendations