Insight into an implicit time integration scheme for structural dynamics

Computers and Structures

Volumn 98-99, Issue , 2012, Pages 1-6

  Bathe, Klaus Jürgen ^a   Noh, Gunwoo ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Bathe method; Finite elements; Implicit time integration; Newmark method; Structural dynamics; Trapezoidal rule

Indexed keywords

BATHE METHOD; FINITE ELEMENT; IMPLICIT TIME INTEGRATION; NEWMARK METHODS; TRAPEZOIDAL RULES;

CIVIL ENGINEERING; COMPUTER APPLICATIONS;

STRUCTURAL DYNAMICS;

EID: 84858700241     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2012.01.009     Document Type: Article

References (14)

1. K.J. Bathe, and M.M.I. Baig On a composite implicit time integration procedure for nonlinear dynamics Comput Struct 83 2005 2513 2534
2. K.J. Bathe Conserving energy and momentum in nonlinear dynamics: a simple implicit time integration scheme Comput Struct 85 2007 437 445
3. E.L. Wilson, I. Farhoomand, and K.J. Bathe Nonlinear dynamic analysis of complex structures Int J Earthquake Eng Struct Dyn 1 1973 241 252
4. K.J. Bathe, and E.L. Wilson Stability and accuracy analysis of direct integration methods Int J Earthquake Eng Struct Dyn 1 1973 283 291
5. J.W. Tedesco, W.G. McDougal, and C.A. Ross Structural dynamics, theory and applications 1998 Addison-Wesley
6. K.J. Bathe Finite element procedures 1996 Prentice Hall
7. J.C. Simo, and N. Tarnow The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics J Appl Math Phys 43 1992 757 792
8. J. Chung, and G.M. Hulbert A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized alpha method J Appl Mech Trans ASME 60 1993 371 375 (Pubitemid 23679960)
9. S.U. Masuri, A. Hoitink, X. Zhou, and K.K. Tamma Algorithms by design: a new normalized time-weighted residual methodology and design of a family of energy-momentum conserving algorithms for non-linear structural dynamics Int J Numer Methods Eng 79 2009 1094 1146
10. L. Collatz The numerical treatment of differential equations 3rd ed. 1966 Springer-Verlag
11. R.E. Bank, W.M. Coughran, W. Fichtner, E.H. Grosse, D.J. Rose, and R.K. Smith Transient simulation of silicon devices and circuits IEEE Trans CAD 4 1985 436 451
12. K.J. Bathe On reliable finite element methods for extreme loading conditions A. Ibrahimbegovic, I. Kozar, Chapter in extreme man-made and natural hazards in dynamics of structures 2007 Springer-Verlag
13. Z. Kazanci, and K.J. Bathe Crushing and crashing of tubes with implicit time integration Int J Impact Eng 42 2012 80 88
14. K.J. Bathe The finite element method B. Wah, Encyclopedia of computer science and engineering 2009 John Wiley and Sons 1253 1264