Analytical estimation of natural frequency in earth dams with respecting to the foundation effects

Document Type : Research

Authors

1 Faculty of Engineering, Kharazmi University, Tehran,Iran

2 Faculty of Engineering, Kharazmi University,Tehran,Iran

Abstract

There are varieties of techniques for calculating natural frequency of the structures. Nevertheless, these equations are less developed in the geotechnical structures such as slopes, buttress group, dams, and retaining walls. In earth dams, with respecting to the dimensions and weight of dam, soil-structure interaction is of prime importance for finding seismic parameters including natural frequency, deformation, and other parameters. To accomplish this objective and the inclusion of foundation flexibility, dam foundation was simulated using transition spring. in this research an equation is presented for calculating natural frequency of earth dam using analytical methods. The advantages of this method include more accurate estimation of seismic parameters as well as considering the flexibility of earth dams' foundation. Riley approximation method and shear-free shape function were used in the mathematical solution steps and the trend of gaining the proposed equation. Finally, the results obtained from the proposed equation were compared to those of finite element software GeoStudio-2007[9] and the correlation of responses was observed.

Keywords

References

1. Idriss, I. M. Mathurt, J. M. and Seed, H. B. "Earth dam-foundation interaction during earthquakes," Earthquake Engineering and Structural Dynamics, 2, 313-323. [DOI:10.1002/eqe.4290020403]
2. Kishi, N., Nomachi, S.G., Matsuoka, K. G., Kida, T. "Earthquake engineering," Japan society of civil engineering, proceeding of JSCE, No. 386/ I- 8, 4(2), 259-26
3. Dakoulas, P. "Nonlinear Response of Dams Founded on Alluvial Deposits in Narrow Canyons," Soil Dynamics and Earthquake Engineering, NO.9, 301- 310. [DOI:10.1016/S0267-7261(05)80016-8]
4. Gazetas G., Dakoulas P. "Seismic analysis and design of rockfill dams: State of the art," Soil Dynamics and Earthquake Engineering, 11(1), 27-61. [DOI:10.1016/0267-7261(92)90024-8]
5. Watanabe, H. Kikuchi, K.; Cao, Z. "Vibration modes of rockfill dam based on the observations of microtremors and an earthquake," Research report , Vol.2, Thammasat Univ. Rangsit Campus, Pathum Thani (Thailand). 360 p.
6. Zhen, Z., , "Shear vibration of 3-D inhomogeneous earth Dam in triangular canyons," Eleventh world conference of Earthquake engineering. Paper No. 584.
7. Papalou, A., Bielak, j. "Seismic Elastic Response of Earth Dams with Canyon Interaction," Journal of Geotechnical and Geoenvironmental Engineering, 127(5), 446-453. [DOI:10.1061/(ASCE)1090-0241(2001)127:5(446)]
8. Karnovsky, Igor A., and Lebed, Olga I. Formulas for Structural Dynamics: Tables, Graphs, and Solutions, (McGraw- Hill, New York).
9. GeoStudio, Dynamic Modeling With Quake/w.GEO-SLOPE International Ltd.
10. Tsai, P., Hsu, S., and Lai, J. "Effects of Core on Dynamic Responses of Earth Dam," Slope Stability, Retaining Walls, and Foundations: ASCE, GeoHunan International Conference , 8-13.
11. Parish, Y., Sadek, M., and Shahrour, I. "Numerical analysis of the seismic behavior of earth dam," Natural Hazards and Earth System Sciences, 9, 451-458. [DOI:10.5194/nhess-9-451-2009]
12. Saleh S. and Madabhushi, S. P. G. , "Response of concrete dams on rigid and soil foundation under earthquake loading" , Journal of Earthquake and Tsunami, 4(3), 251-268. [DOI:10.1142/S1793431110000820]
13. Dodagoudar G. R. and Boominathan, A., "Seismic soil-foundation-structure interaction analysis of deeply embedded ventilation stack," Journal of Earthquake and Tsunami , 6(1), 1250003.
Numerical Methods in Civil Engineering
Volume 1, Issue 1
September 2016
Pages 7-13

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History

  • Receive Date: 11 September 2013
  • Revise Date: 23 December 2013
  • Accept Date: 02 April 2014

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