Evaluation of dynamic responses of concrete gravity dam considering dam-reservoir-foundation interaction with inclined absorptive reservoir bottom

Santosh Kumar DAS, Kalyan Kumar MANDAL, Arup Guha NEYOGI

Abstract


The present paper shows the dynamic responses of concrete gravity dam considering inclined reservoir bed. Responses of gravity dam influenced by the adjacent reservoir and soil foundation. Interaction between dam, reservoir and foundation can give the authentic idea about the responses of the gravity dam subjected to dynamic excitation. Hydrodynamic pressure originated at the face of the gravity dam due to dynamic force. Bottom absorption and geometrical profile of the reservoir influence the behavior of the reservoir along with the adjacent gravity dam. In the present study, dam-reservoir-foundation system has been analyzed by direct coupling approach due to harmonic excitation including the fluid-structure and soil-structure interaction simultaneously. Reservoir bottom is considered as inclined and absorptive. Geometry of the dam, reservoir and foundation are discretized using finite element technique. Suitable non-reflective boundary conditions are applied along the truncated surface of the reservoir and soil foundation. Dynamic analysis of the dam, reservoir and foundation coupled system has been performed by applying Newmarks’ technic. Responses of the reservoir, dam and foundation have been observed for different inclination of reservoir bottom.

Keywords


Dynamic excitation, Finite element, Hydrodynamic pressure. Fluid-structure interaction, Soil-structure interaction

Full Text:

PDF

References


- S.S. Saini, P. Bettess, O.C. Zienkiewicz, Coupled hydrodynamic response of concrete gravity dams using finite and infinite elements. Earthq. Eng. Struct. Dyn., 6(1978) 363-374. https://doi.org/10.1002/eqe.4290060404

- K.J. Bathe, W.F. Hahn, On transient analysis of fluid-structure systems. Comput. Struct., 10(1979) 383-391.

- A.T. Chwang, Hydrodynamic pressure on an accelerating dam and criteria for cavitation. J. Eng. Math., 13(2) (1979) 143-152. https://doi.org/10.1007/BF00042749

- W.C. Muller, Simplified analysis of linear fluid-structure interaction. Int. J. Numer. Methods Eng., 17(1981) 113-121. https://doi.org/10.1002/nme.1620170109

- J. Humar, M. Roufaiel, Finite element analysis of reservoir vibration. J. Eng. Mech., 109(1) (1983) 215-230. https://doi.org/10.1061/(ASCE)0733-9399(1983)109:1(215)

- Y.C. Das, F.A. Aki, Hydrodynamic pressure on dams. Int. J. Model. Simul., 8(1) (1988) 33-37.

- G. Fenves, L.M.V. Loli, Nonlinear dynamic analysis of fluid-structure systems. J. Eng. Mech., 114(1988) 219-240.

- H.C. Chen, R.L. Taylor, Vibration analysis of fluid-solid systems using a finite element displacement formulation. Int. J. Numer. Methods Eng., 29(1990) 683-698. https://doi.org/10.1002/nme.1620290402

- S. Bougacha, J.L. Tassoulas, Effects of sedimentary material on the response of concrete gravity dams. Earthq. Eng. Struct. Dyn., 20(1991) 849-858. https://doi.org/10.1002/eqe.4290200905

- X. Li, O.M.P. Romo, L.J. Avails, Finite element analysis of dam-reservoir systems using an exact far-boundary condition. Comput. Struct., 60(5) (1996) 751-762.

- N. Bouaanani, P. Poultre, J. Proulx, A closed-form formulation for earthquake-induced hydrodynamic pressure on gravity dams. J. Sound Vib., 261(2003) 573-582.

- D. Maity, S.K. Bhattacharya, A parametric study on fluid-structure interaction problems. J. Sound Vib., 263(2003) 917-935.

- I. Gogoi, D. Maity, A non-reflecting boundary condition for the finite element modeling of infinite reservoir with layered sediment. Adv. Water Resour., 29(2006) 1515-1527.

- G. Papazafeiropoulos, Y. Tsompanakis, P.N. Psarropoulos, Dynamic interaction of concrete dam-reservoir-foundation: analytical and numerical solutions. Comput. Methods Appl. Sci., 21(2011) 455-488.

- B.N. Neya, M.A. Ardeshir, An analytical solution for hydrodynamic pressure on dams considering the viscosity and wave absorption of the reservoir. Arab J. Sci. Eng., 38(2013) 2023-2033.

- K.K. Mandal, D. Maity, Seismic response of a dam-reservoir-foundation coupled system with long term ageing of dam. Dam Eng., 27(3) (2017) 1-30.

- L. Yang, M. Zhao, C.S. Xu, X. Du, Z. Li, Earthquake input for finite element analysis of soil-structure interaction on rigid bedrock. Tunn. Undergr. Space Technol., 79(2018) 250-262. https://doi.org/10.1016/j.tust.2018.05.008

- A.M. Behroozi, M. Vaghefi, Radial basis function differential quadrature for hydrodynamic pressure on dams with arbitrary reservoir and face shapes affected by earthquake. J. Appl. Fluid Mech., 13(6) (2020) 1759-1768. https://doi.org/10.47176/jafm.13.06.31296

- M.P. Khiavi, A. Sari, Evaluation of hydrodynamic pressure distribution in reservoir of concrete gravity dam under vertical vibration using an analytical solution. Math. Probl. Eng., (2021) 1-9. https://doi.org/10.1155/2021/6669366

- R.H. Dastgerdi, B.S. Beyrag, K. Kazemi, A. Malinowska, Improving seismic performance of concrete gravity dams considering hydrodynamic effect and soil-structure interaction. Int. J. Eng. Res. Technol., 11(9) (2022) 65-74.

- Y.A. Rasa, A. Budak, O.A. Duagun, An efficient finite element model for dynamic analysis of gravity dam-reservoir-foundation interaction problems. Lat. Am. J. Solids Struct., 19(6) (2022) e459. https://doi.org/10.1590/1679-78257178

- X. Warin, Reservoir optimization and machine learning methods. Eur. J. Comput. Optim., 11(2023) 100068. https://doi.org/10.1016/j.ejco.2023.100068

- A. Shrama, S. Thakur, K. Nallsiavam, Seismic response assessment of concrete gravity dam with dam-foundation-reservoir interaction by adopting finite element technique. J. Vib. Eng. Technol., 13(2025) 332.

- S. Kontoe, L. Zdravkovic, D.M. Potts, An assessment of the domain reduction method as an advanced boundary condition and some pitfalls in the use of conventional absorbing boundaries. Int. J. Numer. Anal. Meth. Geomech., 33(2009) 309-330. https://doi.org/10.1002/nag.713

- A. Samii, V. Lotfi, Comparison of coupled and decoupled modal approaches in seismic analysis of concrete gravity dams in time domain. Finite Elem. Anal. Des., 43(2007) 1003-1012. https://doi.org/10.1016/j.finel.2007.06.015

- K.K. Mandal, D. Maity, Performance of aged dam-reservoir-foundation coupled system with absorptive reservoir bottom. ISET J. Earthquake Technol., 54(1) (2017) 1-16. https://doi.org/10.63898/UPUH1772


Refbacks

  • There are currently no refbacks.


Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

ISSN 2170-127X

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at http://revue.ummto.dz.