Reduced sensitivity to perturbations in the numerical solution of multibody daes

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

Volumn 6 A, Issue , 2005, Pages 235-239

  Bottasso, Carlo L ^a   Bauchau, Olivier A ^b  

^a POLITECNICO DI MILANO   (Italy)

^b Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EQUATIONS OF MOTION; ERROR ANALYSIS; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES;

BDF-TYPE SCHEMES; PROPAGATION OF ERRORS; SCALING TRANSFORMATION; SYSTEM EQUATIONS;

DYNAMICS;

EID: 33244488526     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-85262     Document Type: Conference Paper

References (5)

1. Petzold, L., and Lötstedt, P., 1986, "Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints II: Practical Implications," SIAM Journal on Scientific and Statistical Computing, 7(3), pp. 721-733.
2. Arnold, M., 1995, "A Perturbation Analysis for the Dynam ical Simulation of Mechanical Multibody Systems," Applied Numerical Mathematics, 18, pp. 37-56.
3. Gear, C., Leimkuhler, B., and Gupta, G., 1985, "Automatic Integration of Euler-Lagrange Equations with Constraints," Journal of Computational and Applied Mathematics, 12-13, pp. 77-90.
4. Borri, M., Trainelli, L., and Croce, A., 2005, "The Embedded Projection Method: a General Index Reduction Procedure for Constrained System Dynamics," Computer Methods in Applied Mechanics and Engineering, accepted, to appear.
5. Gear, C., 1971, "Simultaneous Numerical Solution of Differential/Algebraic Equations," IEEE Transactions on Circuits and Systems, 18, pp. 89-95.