Автор |
Anitescu <sup>*</sup> , Mihai |
Автор |
Coroian <sup>*</sup> , Dan I |
Автор |
Zuhair Nashed <sup>*</sup> , M. |
Автор |
Potra <sup>*</sup> , Florian A |
Дата выпуска |
1996 |
dc.description |
In this paper, a numerical method for solving overdetermined differential algebraic equations that arise in multi body dynamics is proposed. The method is based on Newton type iterations using outer inverses. We prove that the ssf method and tangent space parametrization can be regarded as particular cases of our method |
Формат |
application.pdf |
Издатель |
Marcel Dekker, Inc |
Копирайт |
Copyright Taylor and Francis Group, LLC |
Название |
Outer inverses and multi body system simulation |
Тип |
research-article |
DOI |
10.1080/01630569608816717 |
Electronic ISSN |
1532-2467 |
Print ISSN |
0163-0563 |
Журнал |
Numerical Functional Analysis and Optimization |
Том |
17 |
Первая страница |
661 |
Последняя страница |
678 |
Выпуск |
7-8 |
Библиографическая ссылка |
Führer, C and Leimkuhler, B. 1991. Numerical solution of differential algebraic equations for constrained mechanical motion. Numer. Math, 59: 55–69. |
Библиографическая ссылка |
Führer, C and Leimkuhler, B. 1991. “A new class of generalized inverses for the solution of discretized Euler Lagrange equations”. In Real Time Integration Methods for Mechanical System Simulation, Edited by: Deyo, R and Haug, E. 143–154. Berlin: Springer Verlag. |
Библиографическая ссылка |
Haug, E.J. 1989. Computer Aided Kinematics and Dynamics of Mechanical Systems, Basic Methods. Allyn and Bacon, 1 Boston |
Библиографическая ссылка |
Nashed, M.Z. 1987. Inner, outer, and generalized inverses in Banach and Hilbert spaces. Numer. Funct. Anal. Optimization, 9: 261–325. |
Библиографическая ссылка |
Nashed, M.Z and Chen, X. 1993. Convergence of newton like methods for singular operator equations using outer inverses. Numer. Math, 66: 235–257. |
Библиографическая ссылка |
Petzold, L.R and Potra, F.A. 1992. ODAE methods for the numerical solution of Euler Lagrange equations. Applied Numerical Mathematics, 10: 397–413. |
Библиографическая ссылка |
Potra, F.A. 1993. Implementation of linear multistep methods for solving constrained equations of motion. SIAM J. Numer. Anal, 30(3): 774–789. |
Библиографическая ссылка |
Rao, C.R and Mitra, S.K. 1971. “Generalized Inverse of Matrices and its Applications”. John Wiley & Sons. |