Frequency Analysis of Concrete Gravity Dam with Finite Element Model and LHS Method

Document Type : Research

Authors

1 Associate Professor of Civil Engineering, Faculty of engineering, University of Mohaghegh Ardabili, Ardabil, Iran

2 Assistant Professor of Civil Engineering, Faculty of engineering, University of Mohaghegh Ardabili, Ardabil, Iran.

3 M.Sc. of Civil engineering of Civil Engineering, Faculty of engineering, University of Mohaghegh Ardabili, Ardabil, Iran

Abstract

In this paper, the dynamic response of a concrete gravity dam along with reservoir domain is investigated by frequency analysis and Latin hypercube sampling (LHS) statistical methods using finite element model. In this analysis, the frequency value is assigned to the model as an input variable. Then, the effects of frequency parameter are studied on maximum horizontal displacement of the dam crest, maximum tensile stress in the heel, maximum compressive stress in the toe and hydrodynamic pressure on the heel of the dam. The ANSYS software, according to finite element method (FEM), is applied for modeling and analysis. In order to represent the effect of the dynamic loading frequency, which is an important parameter in the analysis of the structures, the maximum response values are presented as sensitivity and probability curves. According to the sensitivity diagram of the hydrodynamic pressure response vs. the input frequency, it can be concluded that in the frequency of loading near the natural frequency of reservoir, the most critical condition occurs for seismic display, which should be highly considered in designing concrete dams.

Keywords


1. Alembagheri, M., Seyed Kazemi, M., "Seismic performance sensitivity and uncertainty analysis of gravity dams." Journal of Earthquake Engineering & Structural Dynamics, Vol. 44, Issue 1, 2014, p. 41-58. [DOI:10.1002/eqe.2457]
2. ANSYS User Manual. "Release 11.0 Documentation for ANSYS." SASIP, Inc., 2007.
3. Chopra, A.K., "Earthquake behavior of reservoir-dam systems", Journal of engineering mechanics division, Vol. 94, Issue 6, 1968, p.1475-1500.
4. Chopra, A.K., Chakrabarti, P., "The earthquake experience at Koyna dam and stresses in concrete gravity dams." Journal of earthquake engineering and structural dynamics, Vol. 1, Issue 2, 1972, p.151-164. [DOI:10.1002/eqe.4290010204]
5. Chopra, A. K., Chakrabarti, P., "Earthquake analysis of concrete gravity dams including dam-water-foundation rock interaction." Journal of Earthquake Engineering & Structural Dynamics, Vol. 9, Issue 4, 1981, p.363-383. [DOI:10.1002/eqe.4290090406]
6. Chwang, A. T., Housner, G. W., "Hydrodynamic pressures on sloping dams during earthquakes. Part 1. Momentum method." Journal of Fluid Mechanics, Vol. 87, Issue 02, 1978, p.335. [DOI:10.1017/S0022112078001639]
7. Fenves, G., Chopra, A. K., "Reservoir bottom absorption effects in earthquake response of concrete gravity dams." Journal of Structural Engineering, Vol. 111, Issue 3, 1985, p. 545-562. [DOI:10.1061/(ASCE)0733-9445(1985)111:3(545)]
8. Ghaemian, M., Ghobarah, A., "Staggered solution schemes for dam-reservoir interaction." Journal of Fluids and Structures, Vol. 12, Issue 7, 1998, p. 933-948. [DOI:10.1006/jfls.1998.0170]
9. Hall, J. F., and Chopra, A. K., "Two dimensional dynamic analysis of concrete gravity and embankment dams including hydrodynamic effects." Journal of Earthquake Engineering & Structural Dynamics, Vol. 10, Issue 2, 1982, p. 305-332. [DOI:10.1002/eqe.4290100211]
10. Jablonski, A. M., Humar, J. L., "Three-dimensional boundary element reservoir model for seismic analysis of arch and gravity dams." Journal of Earthquake Engineering & Structural Dynamics, Vol.19, Issue 3, 1990, pp. 359-376. [DOI:10.1002/eqe.4290190306]
11. Pasbani Khiavi, M., "Investigation of the effect of reservoir bottom absorption on seismic performance of concrete gravity dams using sensitivity analysis." KSCE Journal of Civil Engineering, Vol. 20, Issue 5, 2015, p. 1977-1986. [DOI:10.1007/s12205-015-1159-5]
12. Pasbani Khiavi, M., "Investigation of seismic performance of concrete gravity dams using probabilistic analysis." Journal of GRAĐEVINAR, Vol. 69, Issue 1, 2017, p. 21-29.
13. Saini, S. S., Bettes, P., Zienkiewicz, O. C., "Coupled hydrodynamic response of concrete gravity dams using finite and infinite elements." Journal of Earthquake Engineering & Structural Dynamics, Vol.6, Issue 4, 1978, p. 363-374. [DOI:10.1002/eqe.4290060404]
14. Sharan, S. K., "Finite element analysis of unbounded and incompressible fluid domains." International Journal for Numerical Methods in Engineering, Vol. 21, Issue 9, 1985, p.1659-1669. [DOI:10.1002/nme.1620210908]
15. Sharan, S. K., "Finite Element Modeling of Infinite Reservoirs." Journal of Engineering Mechanics, Vol. 111, Issue 12, 1985, p. 1457-1469. [DOI:10.1061/(ASCE)0733-9399(1985)111:12(1457)]
16. Sharan, S. K., "Modelling of radiation damping in fluids by finite elements." International Journal for Numerical Methods in Engineering, Vol. 23, Issue 5, 1986, p. 945-957. [DOI:10.1002/nme.1620230514]
17. Tsai, C.S., Lee, G.C., Yeh, C.S., "Time-domain analyses of three-dimensional dam-reservoir interactions by BEM and semi-analytical method." Engineering Analysis with Boundary Elements, Vol. 10, Issue 2, 1992, p.107-118. [DOI:10.1016/0955-7997(92)90039-A]
18. Westergaard, H.M., "Water pressure on dams during earthquakes." Transaction ASCE, Vol.98, 1933.
19. Zienkiewicz, O.C., Bettess, P., "Fluid-structure dynamic interaction and wave forces. An introduction to numerical treatment." International Journal for Numerical Methods in Engineering, Vol. 13, Issue 1, 1978, p. 1-16. [DOI:10.1002/nme.1620130102]