An energy-conserving co-rotational procedure for the dynamics of planar beam structures

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 13, 1996, Pages 2265-2282

  Galvanetto, U ^a   Crisfield, M A ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Beams; Co rotation; Dynamics; Energy conservation

Indexed keywords

BEAMS AND GIRDERS; DYNAMIC RESPONSE; ENERGY CONSERVATION; PERFORMANCE; STRUCTURAL ANALYSIS;

ENERGY CONSERVING CO-ROTATIONAL PROCEDURE; IMPLICIT NONLINEAR DYNAMIC ANALYSIS;

INTEGRATION;

EID: 0030192026     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19960715)39:13<2265::AID-NME954>3.0.CO;2-O     Document Type: Article

References (6)

1. N. M. Newmark, 'A method of computation for structural dynamics', J. Eng. Mech. Div. ASCE, EM3, 85, 67-94 (1959).
2. M. A. Crisfield and J. Shi, 'A co-rotational element/time-integration strategy for non-linear dynamics', Int. j. numer. methods eng., 37, 1897-1913 (1994).
3. J. C. Simo and N. Tarnow, 'The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics', Z. angnew Math. Phys., 43, 757-792 (1992).
4. J. C. Simo and N. Tarnow, 'A new energy and momentum conserving algorithm for the non-linear dynamics of shells', Int. j. numer. methods eng., 37, 2527-2549 (1994).
5. E. Haug, O. S. Nguyen and A. L. De Rouvray, 'An improved energy conserving implicit time integration algorithm for nonlinear dynamics structural analysis', Proc. 4th Int. Conf. on Struct. Mech. in Reactor Tech., San Francisco, Aug. 1977.
6. T. J. R. Hughes, W. K. Liu and P. Caughy, 'Transient finite element formulations that preserve energy', J. Appl. Mech., 45, 366-370 (1978).