A Closed Form Solution for Hydrodynamic Pressure of Gravity Dams Reservoir with Effect of Viscosity under Dynamic Loading
Hydrodynamic pressures acting on upstream of concrete dams during an earthquake are an important factor in designing and assessing the safety of these structures in Earthquake regions. Due to inherent complexities, assessing exact hydrodynamic pressure is only feasible for problems with simple geometry. In this research, the governing equation of concrete gravity dam reservoirs with effect of fluid viscosity in frequency domain is solved and then compared with that in which viscosity is assumed zero. The results show that viscosity influences the reservoir-s natural frequency. In excitation frequencies near the reservoir's natural frequencies, hydrodynamic pressure has a considerable difference in compare to the results of non-viscose fluid.
[1] H.M. Westergaard, "Water pressure on dams earthquakes," ASCE, 1933.
[2] S.M. Kotsubo, "Dynamic water pressure on dams due to irregular Earthquakes," Memoirs Faculty of Engineering, Kyushu university, Fakuoka, Japan, Vol.18, No.4, 1959.
[3] H.A. Barthez and C.H. Heilborn, "Discussion of Water pressure on dams
during earthquakes by H.M Westergaard Transactrons," ASCE, Vol. 98,1933.
[4] L.M. Hoskins and L.S. Jacobsen, "Water pressure in a tank caused by
simulated earthquake," Bulletin, Seismological, Society of America,
Vol. 24, Jan 1934.
[5] P.W. Werner and K. Sundquist, "On hydrodynamic earthquake effects,"
Transactions, American Geophysical Union, Vol. 30, No. 5, Oct 1949.
[6] J.I. Bustamante, E. Rosenblueth, I. Herrera, and A. Flores, "Presion
hydrodynamic en presasy depositos," Boletin Sociedad Mexicana de Ingenieria Sismica, Vol. 11, No. 2, Oct 1963.
[7] S.M. Kotsubo, "External forces on arch dams during earthquakes," Memories Faculty of Engineering Kyushu University, Fukuoka, Japan, Vol. 20, No.4, 1961.
[8] A.K. Chopra, "Hydrodynamic pressure on dams during earthquakes,"
Proc, ASCE, EM6, 1967.
[9] A.K. Chopra and P. Chakrabarti, "Hydrodynamic pressure and response
of gravity dams to vertical earthquake component," Earthquake eng.
Struct. Dyn., 2, 143-160, 1973.
[10] G.C. Lee and C.S. Tsai, "Time-domain analyses of dam-reservoir
system. I: Exact solution", Journal of engineering mechanics 1990-2006, 1991.
[11] A.T. Chwang, "Hydrodynamic pressures on sloping dam during
earthquakes. Part 2.Exact theory." Journal of Fluid Mechanics, Vol. 87,
PP. 343-348, 1978.
[12] P.L.F. Liu, "Hydrodynamic pressures on rigid dams during earthquake,"
J. Fluid Mechanics., 165(Apr.),131-145, 1986.
[13] J. Aviles, "Analytical numerical solution for hydrodynamic pressure on
dam with sloping face considering compressibility and viscosity,"
66:481-8, 1998.
[14] M. Zingales, "Seismically induced, non-stationary hydrodynamic
pressure in a dam-reservoir system," Prob. Engng. Mech., 151-163,2003.
[15] R. Attarnejad, and A. Farsad, "Closed form interaction dam reservoir
system in time domain with variable tickness of dam," J. Tech. Faculty,
vol. 39, No. 3,, 2005 (in Persian).
[16] N. Bouaanani, P. Paultre and J. Proulx, "A closed- from Formulation for
Earthquake- induced Hydrodynamic Pressure on Dams," Journal of
Sound on Vibration, 261 537-582, 2003.
[17] A.K. Chopra and G. Fenves, "Effect of reservoir bottom absorption on
earthquake response of concrete gravity dams," Earthquake eng. Struct.
Dyn., Vol. 11, 1983.
[26] S. Kucukarslan, S.B. Coskun and B. Taskin., "Transient analysis of dam
reservoir interaction including the reservoir bottom effects," J. Fluid and Structures, 20, 1073-1084, 2005.
[1] H.M. Westergaard, "Water pressure on dams earthquakes," ASCE, 1933.
[2] S.M. Kotsubo, "Dynamic water pressure on dams due to irregular Earthquakes," Memoirs Faculty of Engineering, Kyushu university, Fakuoka, Japan, Vol.18, No.4, 1959.
[3] H.A. Barthez and C.H. Heilborn, "Discussion of Water pressure on dams
during earthquakes by H.M Westergaard Transactrons," ASCE, Vol. 98,1933.
[4] L.M. Hoskins and L.S. Jacobsen, "Water pressure in a tank caused by
simulated earthquake," Bulletin, Seismological, Society of America,
Vol. 24, Jan 1934.
[5] P.W. Werner and K. Sundquist, "On hydrodynamic earthquake effects,"
Transactions, American Geophysical Union, Vol. 30, No. 5, Oct 1949.
[6] J.I. Bustamante, E. Rosenblueth, I. Herrera, and A. Flores, "Presion
hydrodynamic en presasy depositos," Boletin Sociedad Mexicana de Ingenieria Sismica, Vol. 11, No. 2, Oct 1963.
[7] S.M. Kotsubo, "External forces on arch dams during earthquakes," Memories Faculty of Engineering Kyushu University, Fukuoka, Japan, Vol. 20, No.4, 1961.
[8] A.K. Chopra, "Hydrodynamic pressure on dams during earthquakes,"
Proc, ASCE, EM6, 1967.
[9] A.K. Chopra and P. Chakrabarti, "Hydrodynamic pressure and response
of gravity dams to vertical earthquake component," Earthquake eng.
Struct. Dyn., 2, 143-160, 1973.
[10] G.C. Lee and C.S. Tsai, "Time-domain analyses of dam-reservoir
system. I: Exact solution", Journal of engineering mechanics 1990-2006, 1991.
[11] A.T. Chwang, "Hydrodynamic pressures on sloping dam during
earthquakes. Part 2.Exact theory." Journal of Fluid Mechanics, Vol. 87,
PP. 343-348, 1978.
[12] P.L.F. Liu, "Hydrodynamic pressures on rigid dams during earthquake,"
J. Fluid Mechanics., 165(Apr.),131-145, 1986.
[13] J. Aviles, "Analytical numerical solution for hydrodynamic pressure on
dam with sloping face considering compressibility and viscosity,"
66:481-8, 1998.
[14] M. Zingales, "Seismically induced, non-stationary hydrodynamic
pressure in a dam-reservoir system," Prob. Engng. Mech., 151-163,2003.
[15] R. Attarnejad, and A. Farsad, "Closed form interaction dam reservoir
system in time domain with variable tickness of dam," J. Tech. Faculty,
vol. 39, No. 3,, 2005 (in Persian).
[16] N. Bouaanani, P. Paultre and J. Proulx, "A closed- from Formulation for
Earthquake- induced Hydrodynamic Pressure on Dams," Journal of
Sound on Vibration, 261 537-582, 2003.
[17] A.K. Chopra and G. Fenves, "Effect of reservoir bottom absorption on
earthquake response of concrete gravity dams," Earthquake eng. Struct.
Dyn., Vol. 11, 1983.
[26] S. Kucukarslan, S.B. Coskun and B. Taskin., "Transient analysis of dam
reservoir interaction including the reservoir bottom effects," J. Fluid and Structures, 20, 1073-1084, 2005.
@article{"International Journal of Architectural, Civil and Construction Sciences:62313", author = "B. Navayineya and J. Vaseghi Amiri and M. Alijani Ardeshir", title = "A Closed Form Solution for Hydrodynamic Pressure of Gravity Dams Reservoir with Effect of Viscosity under Dynamic Loading", abstract = "Hydrodynamic pressures acting on upstream of concrete dams during an earthquake are an important factor in designing and assessing the safety of these structures in Earthquake regions. Due to inherent complexities, assessing exact hydrodynamic pressure is only feasible for problems with simple geometry. In this research, the governing equation of concrete gravity dam reservoirs with effect of fluid viscosity in frequency domain is solved and then compared with that in which viscosity is assumed zero. The results show that viscosity influences the reservoir-s natural frequency. In excitation frequencies near the reservoir's natural frequencies, hydrodynamic pressure has a considerable difference in compare to the results of non-viscose fluid.
", keywords = "Closed form solution, concrete dams reservoir, viscosity, dynamic loads, hydrodynamic pressure.", volume = "3", number = "10", pages = "438-5", }
