Conservation of angular momentum and energy in the integration of non-linear dynamic equations

Computer Methods in Applied Mechanics and Engineering

Volumn 179, Issue 3-4, 1999, Pages 247-263

  Briseghella, L ^a   Majorana, C E ^a   Pellegrino, C ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; C (PROGRAMMING LANGUAGE); COMPUTER SIMULATION; FINITE ELEMENT METHOD; NONLINEAR EQUATIONS;

ANGULAR MOMENTUM CONSERVATION; ENERGY CONSERVATION; STEP-BY-STEP ALGORITHMS;

ROTATION;

EID: 0033321947     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00062-6     Document Type: Article

References (9)

1. Simo J.C., Tarnow N., Wong K.K. Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics. Comput. Methods Appl. Mech. Eng. 100:1992;63-116.
2. Simo J.C., Tarnow N. The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics. Z. Angew. Math. Phys. 43:1992;757-792.
3. Simo J.C., Tarnow N. A new energy and momentum conserving algorithm for the non-linear dynamics of shells. Int. J. Numer. Methods Eng. 37:1994;2527-2549.
4. J.C. Simo, N. Tarnow, M. Doblare, Nonlinear dynamics of threedimensional rods: exact energy and momentum conserving algorithms, to be published.
5. Simo J.C., Wong K.K. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum. Int. J. Numer. Methods Eng. 31:1991;19-52.
6. Addendum - J.C. Simo, K.K. Wong, Int. J. Numer. Methods Eng. 31 (1992) 1321-1323; Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum, Int. J. Numer. Methods Eng. 31 (1991) 19-52.
7. Addendum - J.C. Simo, K.K. Wong, Int. J. Numer. Methods Eng. 31 (1992) 1321-1323; Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum, Int. J. Numer. Methods Eng. 31 (1991) 19-52.
8. Lewis D., Simo J.C. Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups. J. Nonlinear Sci. 4:1994;253-299.
9. L. Briseghella, A. Corazzin, C. Majorana, Conservative procedures of numerical integration in the study of the finite dynamics of elastic continuum, XII National Congress of Italian Association of Theoretical and Applied Mechanics, Neaples, 3-6 October 1995, Vol. I, 63-68 (in Italian).