\شماره٪٪۱
Aghajanzadeh, S.M., Mirzabozorg, H, and Ghaemian, M. ``Foundation
material nonlinearity in dam-reservoir-massed foundation coupled
problems'', {\it Ingegneria Sismica-International Journal of Earthquake
Engineering}, {\bf 34}(4), pp. 1-28 (2017).
\شماره٪٪۲
Adhikari, S. and Woodhouse, J. ``Identification of damping:
Part 1, viscous damping'', {\it Journal of Sound and Vibration}, {\bf 243}(1),
pp. 43-61 (2001).
\شماره٪٪۳
Chopra, A.K. ``Dynamics of structures (Prentice-hall international
series I Civil Enginerring and Enginerring Mechanics)'', {\it Pearson/Prentice
Hall} (1995).
\شماره٪٪۴
Lazan, B.J. ``Damping of materials and members in structural
mechanics'', {\it Pergamon Press LTD, Oxford, England}, {\it 317} p (1968).
\شماره٪٪۵
Mei, S., Su, L., Li, P. and et al. ``Material damping of
concrete under cyclic axial compression'', {\it Journal of Materials
in Civil Engineering}, {\bf 30}(3), pp. 1-10 (2017).
\شماره ٪٪۶
Newmark, N.M. and Hall, W.J. ``Seismic design criteria for
nuclear reactor facilities'', {\it Proceedings of the 4$^{th}$ World conference
on Earthquake Engineering}, pp. 37-50 (1969).
\شماره٪٪۷
Stevenson, J. ``Structural damping values as a function of
dynamic response stress and deformation levels'', {\it Nuclear Engineering
and Design}, {\bf 60}(2), pp. 211-237 (1980).
\شماره٪٪۸
Su, L., Wang, Y., Li, P. and et al. ``Seismic analysis
of bridges based on stress-dependent damping'', {\it Structural Engineering
and Mechanics}, {\bf 62}(3), pp. 281-289 (2017).
\شماره٪٪۹
Rayleigh, L. {\it The Theory of Sound},
New York, Dover Publications (1877).
\شماره٪٪۱۰
Hall, J.F. ``Problems encountered from the use (or misuse)
of Rayleigh damping'',
{\it Earthquake Engineering} \& {\it Structural Dynamics}, {\bf 35}(5),
pp. 525-545 (2006).
\شماره٪٪۱۱
Xiang-ting, Z. ``Hypothesis on energy loss due to structural
damping and its application to the vibration calculation'', {\it Journal
of Vibration and Shock}, {\bf 2}, pp. 12-13 (1982).
\شماره٪٪۱۲
Kume, Y., Hashimoto, F. and Maeda, S. ``Material damping
of cantilever beams'', {\it Journal of Sound and Vibration}, {\bf 80}(1), pp.
1-10 (1982).
\شماره٪٪۱۳
Gounaris, G.D. and Anifantis, N. ``Structural damping determination
by finite element approach'', {\it Computers} \& {\it Structures}, {\bf
73}(1-5),
pp. 445-452 (1999).
\شماره٪٪۱۴
Gounaris, G.D., Antonakakis, E. and Papadopoulos, C.A. ``Hysteretic
damping of structures vibrating at resonance: An iterative complex
eigensolution method based on damping-stress relation'', {\it Computers}
\& {\it Structures}, {\bf 85}(23-24), pp. 1858-1868 (2007).
\شماره٪٪۱۵
Wang, Y. and Wen, J. ``Calculation of material damping of
reinforced concrete cantilever beams'', {\it China Civil Engineering
Journal}, {\bf 41}(2), pp. 77-80 (2008).
\شماره٪٪۱۶
Wang, Y., Pan, Y., Wen, J. and et al. ``Material damping
evaluation of frames made of different materials'', {\it Materials
Research Innovations}, {\bf 18}(3), pp. S353-S358 (2014).
\شماره٪٪۱۷
Chowdhury, S. and Loo, Y. ``Logarithmic decrement of damping
in reinforced and partially prestressed concrete beams--new prediction
formulas'', {\it Proc. of International Conference on Advances in Structures,
Steel, Concrete, Composite and Aluminium (ASSCCA '03), Sydney},
pp. 569-573 (22-25 June, 2003).
\شماره٪٪۱۸
Chowdhury, S., Loo, Y. and Fragomeni, S. ``Damping formulae
for reinforced and partially prestressed concrete beams'', {\it Advances
in Structural Engineering}, {\bf 3}(4), pp. 327-335 (2000).
\شماره٪٪۱۹
Souri, A. and Mirzabozorg, H. ``Material damping evaluation
in a typical concrete gravity dam'' {\it Ingegneria Sismica-International
Journal of Earthquake Engineering}, {\bf 35}(3), pp. 121-138 (2018).
\شماره٪٪۲۰
Bhattacharjee, S. and Leger, P. ``Seismic cracking and energy
dissipation in concrete gravity dams'', {\it Earthquake engineering}
\& {\it Structural Dynamics}, {\bf 22}(11), pp. 991-1007 (1993).
\شماره٪٪۲۱
Clough, R.W. and Penzien, J. ``Dynamics of structures'', {\it 3ed.
edition ed: Computers} \& {\it Structures}, Inc., University Ave. Berkeley,
CA 94704 USA, 1975 (1995).
\شماره٪٪۲۲
Lloyd, J.P., Lott, J.L. and Kesler, C.E. ``Fatigue of concrete'',
{\it University
of Illinois, Engineering Experiment Station, Bulletin}, No. 499
(1968).
\شماره٪٪۲۳
Luco, J.E. ``A note on classical damping matrices'', {\it Earthquake
Engineering} \& {\it Structural Dynamics}, {\bf 37}(4), pp. 615-626 (2008).
\شماره٪٪۲۴
Chopra, A.K. and McKenna, F. ``Modeling viscous damping in
nonlinear response history analysis of buildings for earthquake
excitation'', {\it Earthquake Engineering} \& {\it Structural Dynamics},
{\bf 45}(2),
pp. 193-211 (2016).
\شماره٪٪۲۵
Hall, J.F. ``Discussion of `modelling viscous damping in nonlinear
response history analysis of buildings for earthquake excitation'
by Anil K. Chopra and Frank McKenna'', {\it Earthquake Engineering}
\& {\it Structural Dynamics}, {\bf 45}(13), pp. 2229-2233 (2016).
\شماره٪٪۲۶
Bhattacharjee, S. ``Smeared fracture analysis of concrete
gravity dams for static and seismic loads'', {\it Canada: McGill University}
(1993).
\شماره٪٪۲۷
Chopra, A.K. and McKenna, F. ``Response to John Hall's discussion
(EQE-16-0008) to Chopra and McKenna's paper, `modeling viscous
damping in nonlinear response history analysis of buildings for
earthquake excitation' '', {\it Earthquake Engineering} \& {\it Structural
Dynamics}, {\bf 45}(13), pp. 2235-2238 (2016).
\شماره٪٪۲۸
Luco, J.E. and Lanzi, A. ``A new inherent damping model for
inelastic time-history analyses'', {\it Earthquake Engineering} \&
{\it Structural
Dynamics}, {\bf 46}(12), pp.1919-1939 (2017).
\شماره٪٪۲۹
Petrini, L., Maggi, C., Priestley, M.J.N. and et al.
``Experimentalverification of viscous damping modeling for inelastic
time history analyzes'', {\it Journal of Earthquake Engineering}, {\bf 12}(sup
1), pp. 125-145 (2008).
\شماره٪٪۳۰
ASCE, ``Minimum design lads and associated criteria for
buildings and other structures (ASCE/SEI 7-10)'', {\it American Society
of Civil Engineers} (2010).
\شماره٪٪۳۱
NEHRP, ``Nonlinear structural analysis for seismic design:
A guide for practicing engineers'', {\it NIST GCR 10-917-5} (2010).
\شماره٪٪۳۲
Zhang, H., Wang, Y. and Han, Q. ``Nonlinear material loss
factors of single-layer latticed domes subjected to earthquake
ground motions'', {\it Journal of Structural Engineering}, {\bf 141}(7), pp.
1-15 (2015).
\شماره٪٪۳۳
Mirzabozorg, H. and Ghaemian, M. ``Non-linear behavior of
mass concrete in three-dimensional problems using a smeared crack
approach'', {\it Earthquake Engineering} \& {\it Structural Dynamics},
{\bf 34}(3),
pp. 247-269 (2005).
\شماره٪٪۳۴
Krishnamoorthy, A. and Anita, S. ``Soil--structure interaction
analysis of a FPS-isolated structure using finite element
model'', {\it Structures}, {\bf 5},
pp. 44-57 (2016).
\شماره٪٪۳۵
Anand, V. and Satish Kumar, S.R. ``Seismic soil-structure
interaction: A state-of-the-art review'', {\it Structures}, {\bf
16}, pp. 317-326
(2018).
\شماره٪٪۳۶
Ghaemian, M. and Ghobarah, A. ``Nonlinear seismic response
of concrete gravity dams with dam--reservoir interaction'', {\it Engineering
Structures}, {\bf 21}(4), pp. 306-315 (1999).
\شماره٪٪۳۷
Mirzabozorg, H., Varmazyari, M. and Ghaemian, M. ``Dam-reservoir-massed
foundation system and travelling wave along reservoir bottom'', {\it Soil
Dynamics and Earthquake Engineering}, {\bf 30}(8), pp. 746-756 (2010).
\شماره٪٪۳۸
Hilber, H.M., Hughes, T.J.R. and Taylor, R.L. ``Improved
numerical dissipation for time integration algorithms in structural
dynamics'', {\it Earthquake Engineering} \& {\it Structural Dynamics},
{\bf 5}(3),
pp. 283-292 (1977).
\شماره٪٪۳۹
USACE, ``Gravity dam design: department of the army U.S.'',{\it Army
Corps of Engineers, Washington} (1995).
\شماره٪٪۴۰
Rescher, O.J. ``Importance of cracking in concrete dams'', {\it Engineering
Fracture Mechanics}, {\bf 35}(1-3), pp. 503-524 (1990).
\شماره٪٪۴۱
Wang, G., Wang, Y., Lu, W. and et al. ``Deterministic
3D seismic damage analysis of guandi concrete gravity dam: A
case study'', {\it Engineering Structures}, {\bf 148}, pp. 263-276 (2017).
\شماره٪٪۴۲
El-Aidi, B. and Hall, J.F. ``Non-linear earthquake response
of concrete gravity dams part 1: modelling'', {\it Earthquake Engineering}
\& {\it Structural Dynamics}, {\bf 18}(6), pp. 837-851 (1989).
\شماره٪٪۴۳
El-Aidi, B. and Hall, J.F. ``Non-linear earthquake response
of concrete gravity dams part 2: behaviour'', {\it Earthquake Engineering}
\& {\it Structural Dynamics}, {\bf 18}(6), pp. 853-865 (1989).
\شماره٪٪۴۴
Zeinizadeh, A., Mirzabozorg, H., Noorzad, A. and et al.
``Hydrodynamic pressures in contraction joints including waterstops
on seismic response of high arch dams'', {\it Structures}, {\bf 14}, pp. 1-14
(2018).
\شماره٪٪۴۵
Ghaemian, M. and Ghobarah, A. ``Seismic response of the sefidrud
concrete buttress dam'', {\it European Earthquake Engineering}, {\bf 11}, pp.
7-16 (1997).
\شماره٪٪۴۶
Khazaei Poul, M. and Zerva, A. ``Nonlinear dynamic response
of concrete gravity dams considering the deconvolution process'', {\it Soil
Dynamics and Earthquake Engineering}, {\bf 109}, pp. 324-338 (2018).
)