Collocation, dissipation and [overshoot] for time integration schemes in structural dynamics

作者: Hans M. Hilber , Thomas J. R. Hughes

DOI: 10.1002/EQE.4290060111

关键词:

摘要: … ‘Overshoot’ we present a discussion of overshoot. It is argued that a tendency to overshoot will not … In subsection ‘General concepts’ the basis for studying overshooting is developed. In …

参考文章(14)
Germund G. Dahlquist, A special stability problem for linear multistep methods Bit Numerical Mathematics. ,vol. 3, pp. 27- 43 ,(1963) , 10.1007/BF01963532
K. J. Bathe, E. L. Wilson, Stability and accuracy analysis of direct integration methods Earthquake Engineering & Structural Dynamics. ,vol. 1, pp. 283- 291 ,(1972) , 10.1002/EQE.4290010308
J.H. Argyris, P.C. Dunne, T. Angelopoulos, Non-linear oscillations using the finite element technique Computer Methods in Applied Mechanics and Engineering. ,vol. 2, pp. 203- 250 ,(1973) , 10.1016/0045-7825(73)90015-7
T. Belytschko, D. F. Schoeberle, On the Unconditional Stability of an Implicit Algorithm for Nonlinear Structural Dynamics Journal of Applied Mechanics. ,vol. 42, pp. 865- 869 ,(1975) , 10.1115/1.3423721
J. H. Argyris, P. C. Dunne, T. Angelopoulos, Dynamic Response by Large Step Integration Earthquake Engineering & Structural Dynamics. ,vol. 2, pp. 185- 203 ,(1973) , 10.1002/EQE.4290020208
G.L. Goudreau, R.L. Taylor, Evaluation of numerical integration methods in elastodynamics Computer Methods in Applied Mechanics and Engineering. ,vol. 2, pp. 69- 97 ,(1973) , 10.1016/0045-7825(73)90023-6
Raymond D. Krieg, Samuel W. Key, Transient shell response by numerical time integration International Journal for Numerical Methods in Engineering. ,vol. 7, pp. 273- 286 ,(1973) , 10.1002/NME.1620070305
E L Wilson, A COMPUTER PROGRAM FOR THE DYNAMIC STRESS ANALYSIS OF UNDERGROUND STRUCTURES Reproduced by National Technical Information Service. ,(1968)
R. D. Krieg, Unconditional Stability in Numerical Time Integration Methods Journal of Applied Mechanics. ,vol. 40, pp. 417- 421 ,(1973) , 10.1115/1.3422999