A Gluing Algorithm for Network-Distributed Multibody Dynamics Simulation

Multibody System Dynamics

Volumn 6, Issue 4, 2001, Pages 377-396

  Tseng, Fang Chung ^a   Hulbert, Gregory M ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Distributed computing; Integrated system simulation; Multibody dynamics

Indexed keywords

EID: 0042140634     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012279120194     Document Type: Article

References (39)

1. Mousseau, C.W., Laursen, T.A., Lidberg, M. and Taylor, R.L., 'Vehicle dynamics simulations with coupled multibody and finite element models', Finite Elements in Analysis and Design 31(4), 295-315 (1999).
2. Hulbert, G.M., Michelena, N., Ma, Z.-D., Tseng, F.-C., Fellini, R., Scheffer, C., Choi, K.K., Tang, J., Ogarevic, V. and Hardee, E., 'A case study for network-distributed collaborative design and simulation: Extended life optimization for M1 Abrams tank road arm', Mechanics of Structures and Machines 27(4), 1999, 423-451.
3. Enslow, Jr., P.H., 'What is a distributed data processing system?', IEEE Computer 11(1), 1978, 13-21.
4. Singhal, M. and Casavant, T.L., 'Distributed computing systems', IEEE Computer 24(8), 1991, 12-15.
5. OMG, Object Management Group, The Common Object Request Broker: Architecture and Specification, Revision 2.0, Framingham, MA, 1995.
6. IONA Technologies, ORBIX 2, Distributed Object Technology: Programming Guide, Version 2.1, 1996.
7. Orlandea, N., Chace, M.A. and Calahan, D.A., 'A sparsity-oriented approach to the dynamic analysis and design of mechanical systems - Part I', Journal of Engineering for Industry 99(3), 1977, 773-779.
8. Orlandea, N., Calahan, D.A. and Chace, M.A., 'A sparsity-oriented approach to the dynamic analysis and design of mechanical systems - Part II', Journal of Engineering for Industry 99(3), 1977, 780-784.
9. Cardona, A. and Géradin, M., 'Time integration of the equations of motion in mechanism analysis', Computers and Structures 33(3), 1989, 801-820.
10. Farhat, C., Crivelli, L. and Géradin, M., 'Implicit time integration of a class of constrained hybrid formulations - Part I: Spectral stability theory', Computer Methods in Applied Mechanics and Engineering 125, 1995, 71-107.
11. Chung, J. and Hulbert, G.M., 'A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized-α method', Journal of Applied Mechanics 60, 1993, 371-375.
12. Brenan, K.E., Campbell, S.L. and Petzold, L.R., Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Elsevier, New York, 1989.
13. Petzold, L.R., 'A description of DASSL: A differential/algebraic system solver', in Transactions of the Tenth IMACS World Congress on Systems Simulation and Scientific Computation, International Association for Mathematics & Computers in Simulation, 1982, Vol. 1, 430-432.
14. Kurdila, A., Papastavridis, J.G. and Kamat, M.P., 'Role of Maggi's equations in computational methods for constrained multibody systems', Journal of Guidance, Control and Dynamics 13(1), 1990, 113-120.
15. Walton, Jr., W.C. and Steeves, E.C., 'A new matrix theorem and its application for establishing independent coordinates for complex dynamical systems with constraints', NASA Technical Report, NASA TR R-326, 1969, 1-27.
16. Wehage, R.A. and Haug, E.J., 'Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems', Journal of Mechanical Design 104, 1982, 247-255.
17. Kim, S.S. and Vanderploeg, M.J., 'QR decomposition for state space representation of constrained mechanical dynamic systems', Journal of Mechanisms, Transmissions, and Automation in Design 108, 1986, 183-188.
18. Singh, R.P. and Likins, P.W., 'Singular value decomposition for constrained dynamical systems', Journal of Applied Mechanics 52, 1985, 943-948.
19. Kane, T.R. and Levinson, D.A., Dynamics: Theory and Applications, McGraw-Hill, New York, 1985.
20. Yen, J., 'Constrained equations of motion in multibody dynamics as ODEs on manifolds', SIAM Journal on Numerical Analysis 30(2), 1993, 553-568.
21. Yen, J., Haug, E.J. and Tak, T.O., 'Numerical methods for constrained equations of motion in mechanical system dynamics', Mechanics of Structures and Machines 19(1), 1991, 41-76.
22. Papastavridis, J.G., 'Maggi's equations of motion and the determination of constraint reactions', Journal of Guidance, Control and Dynamics 13(2), 1990, 213-220.
23. Lelarasmee, E., Ruehli, A.E. and Sangiovanni-Vincentelli, A.L., 'The waveform relaxation method for time-domain analysis of large scale integrated circuits', IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems CAD-13, 1982, 131-145.
24. Leimkuhler, B., 'Relaxation techniques in multibody dynamics', Transactions of the CSME 17(4A), 1993,459-471.
25. Baumgarte, J., 'Stabilization of constraints and integrals of motion in dynamical systems', Computer Methods in Applied Mechanics and Engineering 1, 1972, 1-16.
26. Eich, E. and Hanke, M., 'Regularization methods for constrained mechanical multibody systems', Zeitschrift für Angewandte Mathematik und Mechanik 75(10), 1995, 761-773.
27. Lin, S.-T. and Hong, M.-C., 'Stabilization method for numerical integration of multibody mechanical systems', Journal of Mechanical Design 120, 1998, 565-572.
28. Gear, C.W., Leimkuhler, B.J. and Gupta, G.K., 'Automatic integration of Euler-Lagrange equations with constraints', Journal of Computational and Applied Mathematics 12, 1985, 77-90.
29. Park, K.C. and Chiou, J.C., 'Stabilization of computational procedures for constrained dynamical systems', Journal of Guidance, Control and Dynamics 11(4), 1988, 365-370.
30. Park, K.C., Chiou, J.C. and Downer, J.D., 'Explicit-implicit staggered procedure for multibody dynamics analysis', Journal of Guidance, Control and Dynamics 13(3), 1990, 562-570.
31. Chiou, J.C., Park, K.C. and Farhat, C., 'A natural partitioning scheme for parallel simulation of multibody systems', International Journal for Numerical Methods in Engineering 36, 1993, 945-967.
32. Bayo, E., Garcia De Jalon, J. and Serna, M.A., 'A modified Lagrangian formulation for the dynamic analysis of constrained mechanical systems', Computer Methods in Applied Mechanics and Engineering 71, 1988, 183-195.
33. Bayo, E. and Ledesma, R., 'Augmented Lagrangian and mass-orthogonal projection methods for constrained multibody dynamics', Nonlinear Dynamics 9, 1996, 113-130.
34. Shampine, L.F., 'Conservation laws and the numerical solution of ODEs', Computers and Mathematics with Applications 12B(5/6), 1986, 1287-1296.
35. Eich, E., 'Convergence results for a coordinate projection method applied to mechanical systems with algebraic constraints', SIAM Journal on Numerical Analysis 30(5), 1993, 1467-1482.
36. Yen, J., Petzold, L. and Raha, S., 'A time integration algorithm for flexible mechanism dynamics: The DAE α-method', Computer Methods in Applied Mechanics and Engineering 158, 1998, 341-355.
37. J. Yen, J. and Petzold, L.R., 'An efficient Newton-type iteration for the numerical solution of highly oscillatory constrained multibody dynamic systems', SIAM Journal on Scientific Computing 19(5), 1998, 1513-1534.
38. Pars, L.A., A Treatise on Analytical Dynamics, Heinemann, London, 1965.
39. Udwadia, F.E. and Kalaba, R.E., 'A new perspective on constrained motion', Proceedings of the Royal Society of London Series A - Mathematical, Physical and Engineering Sciences 439, 1992, 407-410.