\شماره٪٪۱
Clough, R.W. and Penzien, J. ``Dynamics of structures'', {\it Copyright
of Applied Mechanics} \& {\it Materials} (1993).
\شماره٪٪۲
Bathe, K.-J. ``Finite element procedures'', {\it Prentice Hall}, pp.824-829
(2006).
\شماره٪٪۳
Belytschko, T. and Hughes, T.J.R. ``Computational methods
for transient analysis'', {\it North-Holland (Computational Methods
in Mechanics}, Amsterdam (1983).
\شماره٪٪۴
Namadchi, A.H. and Alamatian, J. ``Explicit dynamic analysis
using Dynamic Relaxation method'', {\it Computers} \& {\it Structures},
{\bf 175},
pp. 91-99 (2016).
\شماره٪٪۵
Alamatian, J. ``New implicit higher order time integration
for dynamic analysis'', {\it Structural Engineering and Mechanics}, {\bf
48}(5),
pp. 711-736 (2013).
\شماره٪٪۶
Dokainish, M. and Subbaraj, K. ``A survey of direct time-integration
methods in computational structural dynamics---I: Explicit methods'',
{\it Computers}
\& {\it Structures}, {\bf 32}(6), pp. 1371-1386 (1989).
\شماره٪٪۷
Subbaraj, K. and Dokainish, M. ``A survey of direct time-integration
methods in computational structural dynamics---II: Implicit
methods'', {\it Computers}
\& {\it Structures}, {\bf 32}(6), pp. 1387-1401 (1989).
\شماره٪۸
Cook, R.D., Malkus, D.S., Plesha, M.E. and et al. ``Concepts
and applications of finite element analysis'', {\it Wiley New York,
1$^{st}$ edition} (1974).
\شماره٪٪۹
Noh, G. and Bathe, K.-J. ``An explicit time integration scheme
for the analysis of wave propagations'', {\it Computers} \&
{\it structures}, {\bf 129},
pp. 178-193 (2013).
\شماره٪٪۱۰
Rezaiee-Pajand, M. and Karimi-Rad, M. ``A new explicit time
integration scheme for nonlinear dynamic analysis'', {\it International
Journal of Structural Stability and Dynamics}, {\bf 16}(09), pp.1-26
(2016).
\شماره٪٪۱۱
Kim, W. ``An accurate two-stage explicit time integration
scheme for structural dynamics and various dynamic problems'',
{\it International
Journal for Numerical Methods in Engineering}, {\bf 120}(1), pp. 1-28
(2019).
\شماره٪٪۱۲
Newmark, N.M. ``A method of computation for structural dynamics'', {\it
Journal
of the engineering mechanics division}, {\bf 85}(3), pp. 67-94 (1959).
\شماره٪٪۱۳
Chung, J. and Hulbert, G. ``A time integration algorithm
for structural dynamics with improved numerical dissipation: the
generalized-$\alpha$
method'', {\it Journal of applied mechanics}, {\bf 60}(2),
pp. 371-375 (1993).
\شماره٪٪۱۴
Bathe, K.-J. and Baig, M.M.I. ``On a composite implicit time
integration procedure for nonlinear dynamics'', {\it Computers} \&
{\it Structures},
{\bf 83}(31-32),
pp. 2513-2524 (2005).
\شماره٪٪۱۵
Alamatian, J. ``Generalized implicit multi-time-step integration
for nonlinear dynamic analysis'', {\it Scientia Iranica, Transaction
A, Civil Engineering}, {\bf 24}(6), pp. 2776-2792 (2017).
\شماره٪٪۱۶
Rostami, S. and Shojaee, S. ``A family of cubic B-spline
direct integration algorithms with controllable numerical dissipation
and dispersion for structural dynamics'', {\it Iranian Journal of Science
and Technology, Transactions of Civil Engineering}, {\bf 42}(1), pp.
17-32 (2018).
\شماره٪٪۱۷
Ji, Y. and Xing, Y. ``An optimized three-sub-step composite
time integration method with controllable numerical dissipation'',
{\it Computers}
\& {\it Structures}, {\bf 231}, pp.1-15 (2020).
\شماره٪٪۱۸
Namadchi, A.H., Fattahi, F. and Alamatian, J. ``Semiexplicit
unconditionally stable time integration for dynamic analysis
based on composite scheme'', {\it Journal of Engineering Mechanics},
{\bf 143}(10),
pp.1-17 (2017).
\شماره٪٪۱۹
Chang, S.-Y. ``Explicit pseudodynamic algorithm with unconditional
stability'', {\it Journal of Engineering Mechanics}, {\bf 128}(9), pp. 935-947
(2002).
\شماره٪٪۲۰
Chang, S.-Y. ``Improved explicit method for structural dynamics'', {\it Journal
of Engineering Mechanics}, {\bf 133}(7), pp. 748-760 (2007).
\شماره٪۲۱
Chen, C. and Ricles, J.M. ``Development of direct integration
algorithms for structural dynamics using discrete control theory'', {\it
Journal
of Engineering Mechanics}, {\bf 134}(8), pp. 676-683 (2008).
\شماره٪٪۲۲
Chang, S.Y. ``A family of noniterative integration methods
with desired numerical dissipation'', {\it International Journal for
Numerical Methods in Engineering}, {\bf 100}(1), pp. 62-86 (2014).
\شماره٪٪۲۳
Kolay, C. and Ricles, J.M. ``Development of a family of unconditionally
stable explicit direct integration algorithms with controllable
numerical energy dissipation'', {\it Earthquake Engineering} \& {\it Structural
Dynamics}, {\bf 43}(9), pp. 1361-1380 (2014).
\شماره٪٪۲۴
Chang, S.-Y. ``Dissipative, noniterative integration algorithms
with unconditional stability for mildly nonlinear structural
dynamic problems'', {\it Nonlinear Dynamics},
{\bf 79}(2), pp. 1625-1649 (2015).
\شماره٪٪۲۵
Rezaiee-Pajand, M. and Hashemian, M. ``Time integration method
based on discrete transfer function'', {\it International Journal of
Structural Stability and Dynamics}, {\bf 16}(05), pp.1-22 (2016).
\شماره٪٪۲۶
Namadchi, A.H., Jandaghi, E. and Alamatian, J. ``A new model-dependent
time integration scheme with effective numerical damping for
dynamic analysis'', {\it Engineering with Computers}, pp. 1-16 (2020).
\شماره٪٪۲۷
Ren, Z., He, Z. and Qi, Z. ``A temporal hybrid dynamic integration
algorithm strategy for inelastic time history analysis of high-rise
reinforced concrete structures under strong earthquakes'', {\it The
Structural Design of Tall and Special Buildings}, {\bf 29}(2), pp.1-19 (2019).
\شماره٪٪۲۸
Bathe, K.J. and Wilson, E. ``Stability and accuracy analysis
of direct integration methods'', {\it Earthquake Engineering} \& {\it
Structural
Dynamics}, {\bf 1}(3), pp. 283-291 (1972).
\شماره٪٪۲۹
Burden, R. and Faires, J. ``Numerical analysis'', {\it Cengage Learning}
(2004).
\شماره٪٪۳۰
Hughes, T.J. ``The finite element method: Linear static and
dynamic finite element analysis'', {\it Courier Corporation},
pp.465-468 (2012).
\شماره٪٪۳۱
Paultre, P. ``Dynamics of structures'', {\it John Wiley} \& {\it Sons}
(2013).
\شماره٪٪۳۲
Fung, T. ``Numerical dissipation in time-step integration
algorithms for structural dynamic analysis'', {\it Progress in Structural
Engineering and Materials}, {\bf 5}(3), pp. 167-180 (2003).
\شماره٪٪۳۳
Namadchi, A.H. and Alamatian, J. ``Dynamic relaxation method
based on Lanczos algorithm'', {\it International Journal for Numerical
Methods in Engineering}, {\bf 112}(10), pp. 1473-1492 (2017).
\شماره٪٪۳۴
Wen, W., Wei, K., Lei, H.S. and et al. ``A
novel sub-step composite implicit time integration scheme for
structural dynamics'', {\it Computers} \& {\it Structures},
{\bf 182}, pp. 176-186
(2017).
\شماره٪٪۳۵
Hilber, H.M. and Hughes, T.J. ``Collocation, dissipation
and [overshoot] for time integration schemes in structural
dynamics'', {\it Earthquake
Engineering} \& {\it Structural Dynamics}, {\bf 6}(1), pp. 99-117 (1978).
\شماره٪٪۳۶
Chang, S.-Y. ``A new family of explicit methods for linear
structural dynamics'', {\it Computers} \& {\it Structures}, {\bf
88}(11-12), pp.
755-772 (2010).
)