1 |
Hibler, H.M., Hughes, T.J.R. and Taylor, R.L. (1977), "Improver numerical dissipation for time integration algorithm in structural dynamics", Earthq. Eng. Struct. Dyn., 5, 283-292.
DOI
|
2 |
Hoff, C. and Taylor, R.L. (1990), "Higher derivative explicit one step methods for non-linear dynamic problems. Part I: Design and theory", Int. J. Numer. Meth. Eng., 29, 275-290.
DOI
|
3 |
Hulbert, G.M. (1994), "A unified set of single-step asymptotic annihilation algorithms for structural dynamics", Comput. Method. Appl. Mech. Eng., 113, 1-9.
DOI
ScienceOn
|
4 |
Hulbert, G. and Chung, J. (1996), "Explicit time integration algorithm for structural dynamics with optimal numerical dissipation", Comput. Method. Appl. Mech. Eng., 137, 175-188.
DOI
ScienceOn
|
5 |
Kadkhodayan, M., Alamatian, J. and Turvey, G.J. (2008), "A new fictitious time for the dynamic relaxation (DXDR) method", Int. J. Numer. Meth. Eng, 74, 996-1018.
DOI
ScienceOn
|
6 |
Katona, M. and Zienkiewicz, O.C. (1985), "A unified set of single step algorithms Part 3: The beta-m method, a generalization of the Newmark scheme", Int. J. Numer. Meth. Eng, 21, 1345-1359.
DOI
ScienceOn
|
7 |
Keierleber, C.W. and Rosson, B.T. (2005), "Higher-Order Implicit Dynamic Time Integration Method", J. Struct. Eng., ASCE, 131(8), 1267-1276.
DOI
ScienceOn
|
8 |
Kim, S.J., Cho, J.Y. and Kim, W.D. (1997), "From the trapezoidal rule to higher order accurate and unconditionally stable time-integration method for structural dynamics", Comput. Method. Appl. Mech. Eng., 149, 73-88.
DOI
ScienceOn
|
9 |
Liu, Q., Zhang, J. and Yan, L. (2010), "A numerical method of calculating first and second derivatives of dynamic response based on Gauss precise time step integration method", Euro. J. Mech. A/Solids, 29, 370-377.
DOI
ScienceOn
|
10 |
Rezaiee-Pajand, M. and Alamatian, J. (2008), "Numerical time integration for dynamic analysis using new higher order predictor-corrector method", J. Eng. Comput., 25(6), 541-568.
DOI
ScienceOn
|
11 |
Rezaiee-Pajand, M. and Alamatian, J. (2008), "Nonlinear dynamic analysis by Dynamic Relaxation method", J. Struct. Eng. Mech., 28(5), 549-570.
DOI
ScienceOn
|
12 |
Rezaiee-Pajand, M., Sarafrazi, S.R. (2010), "A mixed and multi-step higher-order implicit time integration family", Proceeding of the Institution of Mechanical Engineers, Part C: J. Mech. Eng. Sci., 224, 2097-2108.
DOI
ScienceOn
|
13 |
Rezaiee-Pajand, M., Sarafrazi, S.R. and Hashemian, M. (2011), "Improving stability domains of the implicit higher order accuracy method", Int. J. Numer. Meth. Eng., 88, 880-896.
DOI
ScienceOn
|
14 |
Smolinski, P., Belytschko, T. and Neal, M. (1988), "Multi time step integration using nodal partitioning", Int. J. Numer. Meth. Eng., 26, 349-359.
DOI
ScienceOn
|
15 |
Soares, D. and Mansur, W.J. (2005), "A frequency-domain FEM approach based on implicit Green's functions for non-linear dynamic analysis", Int. J. Solid. Struct., 42(23), 6003-6014.
DOI
ScienceOn
|
16 |
Tamma, K.K., Zhou, X. and Sha, D. (2001), "A Theory of development and design of generalized integration operators for computational structural dynamics", Int. J. Numer. Meth. Eng., 50, 1619-1664.
DOI
ScienceOn
|
17 |
Wang, M.F. and Au, F.T.K. (2009), "Precise integration methods based on Lagrange piecewise interpolation polynomials", Int. J. Numer. Meth. Eng., 77, 998-1014.
DOI
ScienceOn
|
18 |
Wieberg, N.E. and Li, X.D. (1993), "A post- processing technique and an a posteriori error estimate for the Newmark method in dynamic analysis", Earthq. Eng. Struct. Dyn., 22, 465-489.
DOI
ScienceOn
|
19 |
Wood, W.L. (1984), "A unified set of single step algorithms Part 2: Theory", Int. J. Numer. Meth. Eng., 20, 2303-2309.
DOI
ScienceOn
|
20 |
Wood, W.L., Bossak, M. and Zienkiewicz, O.C. (1981), "A alpha modification of Newmark's method", Int. J. Numer. Meth. Eng., 15, 1562-1566
|
21 |
Zhai, W.M. (1996), "Two simple fast integration methods for large-scale dynamic problems in engineering", Int. J. Numer. Meth. Eng., 39, 4199-4214.
DOI
ScienceOn
|
22 |
Zhang, Y., Sause, R., Ricles, J.M. and Naito, C.J. (2005), "Modified predictor-corrector numerical scheme for real-time pseudo dynamic tests using state-space formulation", Earthq. Eng. Struct. Dyn., 34, 271-288.
DOI
ScienceOn
|
23 |
Zhou, X. and Tamma, K.K. (2004), "Design, analysis, and synthesis of generalized single step single solve and optimal algorithms for structural dynamics", Int. J. Numer. Meth. Eng., 59, 597-668.
DOI
ScienceOn
|
24 |
Zienkiewicz, O.C., Wood, W.L. and Taylor, R.L. (1984), "A unified set of single step algorithms Part 1: General formulation and applications", Int. J. Numer. Meth. Eng., 20, 1529-1552.
DOI
ScienceOn
|
25 |
Zuijlen, A.H.V. and Bijl, H. (2005), "Implicit and explicit higher order time integration schemes for structural dynamics and fluid-structure interaction computations", Comput. Struct., 83, 93-105.
DOI
ScienceOn
|
26 |
Alamatian, J. (2012), "A new formulation for fictitious mass of the dynamic relaxation method with kinetic damping", Comput. Struct., 90-91, 42-54.
DOI
ScienceOn
|
27 |
Bathe, K.J. (2007), "Conserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme", Comput. Struct, 85, 437-445.
DOI
ScienceOn
|
28 |
Bathe, K.J. and Baig, M.M.I. (2005), "On a composite implicit time integration procedure for nonlinear dynamics", Comput. Struct, 83, 2513-2524.
DOI
ScienceOn
|
29 |
Chung, J. and Hulbert, G. (1993), "A time integration method for structural dynamics with improved numerical dissipation: the generalized -method", J. Appl. Mech., 30, 371-384.
|
30 |
Clough, R.W. and Penzien, J. (1993), Dynamics of Structures, McGraw Hill, New York.
|
31 |
Felippa, C.A. (1999), Nonlinear Finite Element Methods, http://www.colorado.edu /courses.d /nfemd/.
|
32 |
Fung, T.C. (1997), "Third order time-step integration methods with controllable numerical dissipation", Commun. Numer. Meth. Eng., 13, 307-315.
DOI
ScienceOn
|
33 |
Fung, T.C. (1998), "Complex-time step newmark methods with controllable numerical dissipation", Int. J. Numer. Meth. Eng., 41, 65-93.
DOI
ScienceOn
|
34 |
Gobat, J.I. and Grosenbaugh, M.A. (2001), "Application of the generalized-α method to the time integration of the cable dynamics equations", Comput. Method. Appl. Mech. Eng., 190, 4817-4829.
DOI
ScienceOn
|
35 |
Loureiro, F.S. and Mansur, W.J. (2010), "A novel time-marching scheme using numerical Green's functions: A comparative study for the scalar wave equation", Comput. Method. Appl. Mech. Eng., 199, 1502-1512.
DOI
ScienceOn
|
36 |
Mancuso, M. and Ubertini, F. (2002), "The Norsett time integration methodology for finite element transient analysis", Comput. Method. Appl. Mech. Eng., 191, 3297-3327.
DOI
ScienceOn
|
37 |
Mickens, R.E. (2005), "A numerical integration technique for conservative oscillators combining non-standard finite differences methods with a Hamilton's principle", J. Sound. Vib., 285, 477-482.
DOI
ScienceOn
|
38 |
Modak, S. and Sotelino, E. (2002), "The generalized method for structural dynamic applications", Adv. Eng. Softw., 33, 565-575.
DOI
ScienceOn
|
39 |
Paz, M. (1979), Structural Dynamics: Theory and Computation, McGraw Hill, New York.
|
40 |
Pegon, P. (2001), "Alternative characterization of time integration schemes", Comput. Method. Appl. Mech. Eng., 190, 2701-2727.
|
41 |
Penry, S.N. and Wood, W.L. (1985), "Comparison of some single-step methods for the numerical solution of the structural dynamic equation", Int. J. Numer. Meth. Eng., 21, 1941-1955.
DOI
ScienceOn
|
42 |
Rama Mohan Rao, M. (2002), "A parallel mixed time integration algorithm for nonlinear dynamic analysis", Adv. Eng. Softw., 33, 261-271.
DOI
ScienceOn
|
43 |
Regueiro, R.A. and Ebrahimi, D. (2010), "Implicit dynamic three-dimensional finite element analysis of an inelastic biphasic mixture at finite strain", Comput. Method. Appl. Mech. Eng., 199, 2024-2049.
DOI
ScienceOn
|
44 |
Rezaiee-Pajand, M. and Alamatian, J. (2008), "Implicit higher order accuracy method for numerical integration in dynamic analysis", J. Struct. Eng., ASCE, 134(6), 973-985.
DOI
ScienceOn
|