Numerical Methods for High-Speed Vehicle Dynamic Simulation

Mechanics of Structures and Machines

Volumn 27, Issue 4, 1999, Pages 507-533

  Haug, Edward J ^a   Negrut, Dan ^a,b   Serban, Radu ^a,c   Solis, Dario ^a  

^a UNIVERSITY OF IOWA   (United States)

^b Mechanical Dynamics Inc   (United States)

^c University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041698315     PISSN: 08905452     EISSN: None     Source Type: Journal    
DOI: 10.1080/08905459908915708     Document Type: Article

References (22)

1. R. A. Wehage and M. Belczynski, High-resolution vehicle simulations using precomputed coefficients. Transportation Systems 44:311-325 (1992).
2. W. Schiehlen, Symbolic computations in multibody systems. Computer-Aided Analysis of Rigid und Flexible Mechanical Systems, M. F. O. S. Pereira and J. A. C. Ambrosio, eds., Kluwer Academic Publishers, Norwell, MA, 101-136, 1994.
3. D.-S. Bae and E. J. Haug, A recursive formulation for constrained mechanical system dynamics. Part I: Open-loop systems, Mechanics of Structures and Machines 15:359-382, 1987.
4. D.-S. Bae and E. J. Haug, A recursive formulation for constrained mechanical system dynamics. Part II: Closed-loop systems, Mechanics of Structures and Machines 15:481-506, 1987.
5. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems. Springer-Verlag, Berlin, Germany, 1996.
6. E. J. Haug, Computer-Aided Kinematics and Dynamics of Mechanical Systems, Allyn and Bacon, Boston, MA, 1989.
7. K. E. Atkinson, An Introduction to Numerical Analysis, John Wiley & Sons, New York, 1989.
8. L. J. Corwin and R. H. Szczarba, Multivariable Calculus, Marcel Dekker, New York, 1982.
9. E. Hairer, S. P. Nørsett, and G. Wanner, Solving Ordinary Differential Equations I. Nonstiff Problems, Springer-Verlag, Berlin, Germany, 1993.
10. E. J. Haug, D. Negrut, and C. Engstler, Implicit Runge-Kutta integration of the equations of multi-body dynamics in descriptor form, Mechanics of Structures and Machines, in press.
11. T. J. R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1987.
12. E. J. Haug, M. Iancu, and D. Negrut, Implicit Integration of the Equations of Multibody Dynamics in Descriptor Form, Advances in Design Automation, 1997 ASME Design Automation Conference, ASME, New York, NY, 1997.
13. L. F. Shampine and M. K. Gordon, Computer Solution of Ordinary Differential Equations, The Initial Value Problem, Freeman and Company, San Francisco, CA, 1975.
14. R. Serban, D. Negrut, F. A. Potra, and E. J. Haug, A topology based approach for exploiting sparsity in multibody dynamics in Cartesian formulation, Mechanics of Structures and Machines 25:379-339 (1997).
15. R. Serban and E. J. Haug. Analytical derivatives for multibody system analyses, Mechanics of Structures and Machines 26:145-173 (1988).
16. C. Bischof, L. Roh, and A. Mauer, ADIC: A tool for the automatic differentiation of C program, Technical Report, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, 1996.
17. T. D. Gillespie, Fundamentals of Vehicle Dynamics. Society of Automotive Engineers, Warrendale, PA, 1992.
18. J. E. Bernard, Some time-saving methods tor the digital simulation of highway vehicles, Simulation, 161-165 (1973).
19. D. Solis, "DAE Multirate Methods for Dynamic Systems with Interacting Subsystems," Ph.D. Thesis, The University of Iowa, Iowa City, IA, 1996.
20. D. R. Wells, Multirate linear multistep methods for the solution of systems of ordinary differential equations. Report UIUCDCS-R-82-1093, Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL, 1982.
21. R. Serban and E. J. Haug, Dual coordinates for real-time vehicles simulation, Journal of Mechanical Design, in press.
22. C. G. Liang and G. M. Lance, "A Differentiable Null Space Method for Constrained Dynamic Analysis," Journal of Mechanisms, Transmissions, and Automation in Design 109:405-411 (1987).