Numerical computation of differential-algebraic equations for nonlinear dynamics of multibody android systems in automobile crash simulation

IEEE Transactions on Biomedical Engineering

Volumn 46, Issue 10, 1999, Pages 1199-1206

  Fox, Bud ^a   Jennings, Leslie S ^a   Zomaya, Albert Y ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Automobile crash simulation; Constrained variational systems; Differential algebraic equations; Mathematical modeling; Multibody dynamics; Nonlinear contact forces; Virtual work

Indexed keywords

ALGEBRA; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DYNAMICS; EQUATIONS OF MOTION; MATHEMATICAL MODELS; RUNGE KUTTA METHODS; VARIATIONAL TECHNIQUES; VIRTUAL REALITY;

CONSTRAINT EQUATIONS; COORDINATE SPLIT TECHNIQUE; EULER-LAGRANGE EQUATIONS; MULTIBODY ANDROID SYSTEMS; MULTIBODY DYNAMICS; NONLINEAR CONTACT FORCES; WHIPLASH EFFECTS;

AUTOMOBILE DRIVER SIMULATORS;

ACCIDENT PREVENTION; ARTICLE; BIOMECHANICS; MATHEMATICAL ANALYSIS; MOTION; SIMULATION; TRAFFIC ACCIDENT;

ACCIDENTS, TRAFFIC; BIOMECHANICS; CLUSTER ANALYSIS; COMPUTER SIMULATION; HUMANS; MANIKINS; MOVEMENT; NONLINEAR DYNAMICS; POSTURE; SEAT BELTS; WHIPLASH INJURIES;

EID: 0032848150     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/10.790496     Document Type: Article

References (20)

1. U. M. Ascher and L. R. Petzold, "Numerical methods for boundary value problems in differential algebraic equations," in Recent Developments in Numerical Methods and Software for ODEs/DAEs/PDEs, G. D. Byrne and W. E. Schiesser, Eds. Singapore: World Scientific, 1992, pp. 125-135
2. K. E. Brenan, S. L. Campbell, and L. R. Petzold, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations. New York: Elsevier Science, 1989
3. G. D. Byrne and W. E. Schiesser, "An overview of recent developments in numerical methods and software for ODEs/DAEs/PDE's," in Recent Developments in Numerical Methods and Software for ODEs/DAEs/PDEs, G. D. Byrne and W. E. Schiesser, Eds. Singapore: World Scientific, 1992, pp. 1-5
4. C. W. Gear, "An introduction to numerical methods for ODE's and DAE's," NATO ASI Series, Vol. F 69, Real Time Integration Methods for Mechanical System Simulation, E. J. Haug, Ed. Berlin, Germany: Springer-Verlag, 1991, pp. 115-126
5. C. W. Gear and L. R. Petzold, "ODE methods for the solution of differential/algebraic systems," SIAM J. Numer. Anal, vol. 21, no. 4, pp. 716-728, Aug. 1984
6. W. Herzog and B. M. Nigg, Eds., Biomechanics of the Musculo-Skeletal System. New York: Wiley, 1995
7. R. L. Huston, "Crash victim simulation: Use of computer models," Int. J. Ind. Ergonom., vol. 1, pp. 285-291, 1987
8. -, "Multibody dynamics-Modeling and analysis methods," Appl. Mech. Rev., vol. 44, no. 3, pp. 109-117, Mar. 1991.
9. L. R. Petzold, "Differential/algebraic equations are not ODE's," SIAM J. Sci. S tat. Comput., vol. 3, no. 3, pp. 367-384, Sept. 1982
10. -, "A description of DASSL: A differential/algebraic system solver," in Scientific Computing, R. Stepleman etal., Eds. Amsterdam, The Netherlands: North-Holland, 1983, pp. 65-68
11. -, "Methods and software for differential-algebraic systems," in NATO ASI Series, Vol. F 69, Real Time Integration Methods for Mechanical System Simulation, E. J. Haug, Ed. Berlin, Germany: SpringerVerlag, 1991, pp. 127-140
12. L. R. Petzold and A. C. Hindmarsh, "LSODAR," Computing and Mathematics Research Division, 1-316 Lawrence Livermore National Laboratory, Livermore CA 94550
13. L. R. Petzold, Y. Ren, and T. Maly, "Regularization of higher-index differential-algebraic equations with rank-deficient constraints," SIAM J. Sci. Comput., vol. 18, no. 3, pp. 753-774, May 1997
14. R. R. Ryan, "ADAMS-Multibody system analysis software," Multibody Systems Handbook. Berlin, Germany: Springer-Verlag, 1990
15. F. W. Sears, M. W. Zemansky, and H. D. Young, University Physics 7th, ed. Reading, MA: Addison-Wesley, 1987
16. A. A. Shabana, Computational Dynamics. New York: Wiley, 1994
17. B. Simeon, C. Fuhrer, and R. Rentrop, "Differential-algebraic equations in vehicle system dynamics," in Surveys on Mathematics for Industry, vol. 1. Berlin, Germany: Springer-Verlag, 1991, pp. 1-27
18. R. C. Smith, and E. J. Haug, "DADS-Dynamic analysis and design system," Multibody Systems Handbook. Berlin, Germany: SpringerVerlag, 1990
19. H. A. Lupker, P. J. A. de Coo, J. J. Nieboer, and J. Wismans, "Advances in MADYMO crash simulations," TNO Road-Vehicles Research Institute, Delft, The Netherlands, Internal Rep. 910879
20. J. Yen and L. R. Petzold, "An efficient Newton-type iteration for the numerical solution of highly oscillatory constrained multibody dynamic systems," SIAM J. Sci. Comput., vol. 19, no. 5, pp. 1513-1534, Sept. 1998.