1 |
Hilber, H.M., Hughes, T.J.R. and Taylor, R.L. (1977), "Improved numerical dissipation for time integration algorithms in structural dynamics", Earthq. Eng. Struct.Dyn., 5(3), 283-292.
DOI
|
2 |
Zhou, X. and Tamma, K.K. (2006), "Algorithms by design with illustrations to solid and structural mechanics/ dynamics", Int. J. Numer. Method. Eng., 66(11), 1841-1870.
DOI
|
3 |
Zienkiewicz, O.C. (1977), The Finite Element Method, (3rd Edition), McGraw-Hill Book Co. Ltd., UK.
|
4 |
Bathe, K.J. (1986), Finite Element Procedure in Engineering Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., USA.
|
5 |
Belytschko, T. and Schoeberle, D.F. (1975), "On the unconditional stability of an implicit algorithm for nonlinear structural dynamics", J. Appl. Mech., 42(4), 865-869.
DOI
|
6 |
Belytschko, T. and Hughes, T.J.R. (1983), Computational Methods for Transient Analysis, Elsevier Science Publishers B.V., North-Holland.
|
7 |
Chang, S.Y. (1997), "Improved numerical dissipation for explicit methods in pseudodynamic tests", Earthq. Eng. Struct. Dyn, 26(9), 917-929.
DOI
|
8 |
Chang, S.Y. (2000), "The -function pseudodynamic algorithm", J. Earthq. Eng., 4(3), 303-320.
|
9 |
Chang, S.Y. (2002), "Explicit pseudodynamic algorithm with unconditional stability", J. Eng. Mech., ASCE, 128(9), 935-947.
DOI
ScienceOn
|
10 |
Chang, S.Y. (2007), "Improved explicit method for structural dynamics", J. Eng. Mech., ASCE, 133(7), 748-760.
DOI
|
11 |
Chang, S.Y. (2009), "An explicit method with improved stability property", Int. J. Numer. Method Eng., 77(8), 1100-1120.
DOI
ScienceOn
|
12 |
Chang, S.Y. (2010), "A new family of explicit method for linear structural dynamics", Comput. Struct., 88(11-12), 755-772.
DOI
ScienceOn
|
13 |
Chung, J. and Hulbert, G.M. (1993), "A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized- method", J. Appl. Mech., 60(6), 371-375.
DOI
ScienceOn
|
14 |
Dobbs, M.W. (1974), "Comments on 'stability and accuracy analysis of direct integration methods by Bathe and Wilson", Earthq. Eng. Struct. Dyn., 2, 295-299.
|
15 |
Hilber, H.M. and Hughes, T.J.R. (1978), "Collocation, dissipation, and 'overshoot' for time integration schemes in structural dynamics", Earthq. Eng. Struct. Dyn., 6(1), 99-118.
DOI
|
16 |
Hughes, T.J.R. (1987), The Finite Element Method, Prentice-Hall, Inc., Englewood Cliffs, NJ, USA.
|
17 |
Krieg, R.D. (1973), "Unconditional stability in numerical time integration methods", J. Appl. Mech., 40(2), 417-421.
DOI
|
18 |
Lambert, J.D. (1973), Computational Methods in Ordinary Differential Equations, John Wiley, London, UK.
|
19 |
Lax, P.D. and Richmyer, R.D. (1956), "Survey of the stability of linear difference equations", Commun. Pure Appl. Math., 9(2), 267-293.
DOI
|
20 |
Newmark, N.M. (1959), "A method of computation for structural dynamics", J. Eng. Mech. Div., ASCE, 85(3), 67-94.
|
21 |
Simo, J.C., Tarnow, N. and Wong, K.K. (1992), "Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics", Comput. Method. Appl. Mech. Eng., 100(1), 63-116.
DOI
ScienceOn
|
22 |
Gonzalez, O. and Simo, J.C. (1996), "On the stability of symplectic and energy-momentum algorithms for non-linear Hamiltonian systems with symmetry", Comput. Method. Appl. Mech. Eng., 134(3-4), 197-222.
DOI
ScienceOn
|
23 |
Wood, W.L., Bossak, M. and Zienkiewicz, O.C. (1981), "An alpha modification of Newmark's method", Int. J. Numer. Method. Eng., 15(10), 1562-1566.
|
24 |
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. Method. Eng., 59(5), 597-668.
DOI
ScienceOn
|
25 |
Bathe, K.J. and Wilson, E.L. (1973), "Stability and accuracy analysis of direct integration methods", Earthq. Eng. Struct. Dyn., 1(3), 283-291.
|
26 |
Goudreau, G.L. and Taylor, R.L. (1972), "Evaluation of numerical integration methods in elasto-dynamics", Comput. Method. Appl. Mech. Eng., 2(1), 69-97.
|