Abstract
A general approach to the numerical simulation of complex multibody systems is presented which accomodates kinematical loops and rigid as well as flexible bodies. Key elements are the use of direct methods for differential-algebraic equations and the implementation as a toolkit using the object-oriented language C++. Within this framework it is possible to use different methods of formulating multibody systems and to easily introduce new types of components or new numerical methods.
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References
Martin Anantharaman and Manfred Hiller. Numerical simulation of mechanical systems using methods for differential-algebraic equations. hit. J. Num. Meth. Eng., 32: 1531–1542, 1991.
[Brenan et al.,1989] K. E. Brenan, S.L. Campbell, and L.R. Petzold. Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations. North-Holland, Amsterdam, 1989.
Alberto Cardona and Michel Géradin. Time integration of the equations of motion in mechanism analysis. Comp. Struct., 33: 801–820, 1989.
Alberto Cardona and Michel Géradin. Modeling of superelements in mechanism analysis. Int. J. Num. Meth. Eng., 32: 1565–1593, 1991.
Alexander Eichberger. Simulation von Mehrkörpersystemen auf parallelen Rechnerarchitekturen. PhD thesis, Universität Duisburg, 1993.
C. Führer and B. Leimkuhler. Numerical solution of differential-algebraic equations for constrained mechanical motion. Numer. Math., 59: 55–69, 1991.
C.W. Gear. Differential-algebraic equation index transformations. SIAM J. Sci. Stat. Comput., 9 (1): 39–47, January 1988.
[Hairer et al.,1989] E. Hairer, Ch. Lubich, and M. Roche. The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods. Lecture Notes in Mathematics 1409. Springer, Berlin, 1989.
E.J. Haug and R.A. Wehage. Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems. J. Mech. Des., 104 (1): 247–255, 1982.
[Hiller et al.,1988] M. Hiller, A. Kecskeméthy, and C. Woernle. Computergestützte Kinematik und Dynamik für Fahrzeuge, Roboter und Mechanismen. Carl-CranzKurs V 1.16, Carl-Cranz-Gesellschaft, Oberpfaffenhofen, 1988.
Andrés Kecskeméthy. Objektorientierte Modellierung der Dynamik von Mehrkörpersystemen mit Hilfe von Übertragungselementen. PhD thesis, Universität Duisburg, 1993.
Günter Leister. Beschreibung und Simulation von Mehrkörpersystemen mit geschlossenen kinematischen Schleifen. PhD thesis, Universität Stuttgart, 1992.
Nikravesh and Gim, 1989 ] P.E. Nikravesh and G. Gim. Systematic construction of the equations of motion for multibody systems containing closed kinematic loops. ASME Design Automation Conference, Montreal, Canada, 1989.
P.E. Nikravesh. Computer Aided Analysis of Mechanical Systems. Prentice-Hall, Englewood Cliffs, NJ, 1987.
[Otter et al.,1990] Martin Otter, Michael Hocke, Andreas Daberkow, and Günter Leister. Ein objektorientiertes Datenmodell zur Beschreibung von Mehrkörpersystemen unter Verwendung von RSYST. Institutsbericht IB-16, Institut B für Mechanik, Universität Stuttgart, März 1990.
W. Schiehlen, editor. Multibody Systems Handbook. Springer-Verlag, 1990.
Wolfgang Schwartz. The IAVSD road vehicle benchmark bombardier iltis. In Benchmark-Beispiele des DFG-Schwerpunktprogrammes „Dynamik von Mehrkörpersystemen“. Institut B für Mechanik, Universität Stuttgart, 1991.
J.C. Simo. A finite strain beam formulation. The three-dimensional dynamic problem. Part I. Comp. Meth. Appl. Mech. Eng., 49: 55–70, 1985.
[Sincovec et al.,1981] R.F. Sincovec, A.M. Erisman, E.L. Yip, and M.A. Epton. Analysis of descriptor systems using numerical algorithms. IEEE Trans. Autom. Control,AC-26:139–147, 1981.
Kai Sorge. Mehrkörpersysteme mit starr-elastischen Subsystemen. PhD thesis, Technische Universität München, 1992.
Stroustrup, 1991] Bjarne Stroustrup. The C++ Programming Language. Addison-Wesley, second edition, 1991.
Wehage, 1988] Roger A. Wehage. Application of matrix partitioning and recursive projection to order n solution of constrained equations of motion. In Proceedings of the 20th Biennial ASME Mechanisms Conference,Orlando, Florida, 1988. To appear in the ASME Journal of Mechanisms.
J. Wittenburg. Dynamics of Systems of Rigid Bodies. Teubner, Stuttgart, 1977.
C. Woernle. Ein systematisches Verfahren zur Aufstellung der geometrischen Schließbedingungen in kinematischen Schleifen mit Anwendung bei der Rilckwärtstransformation für Industrieroboter. PhD thesis, Universität Stuttgart, 1988.
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Anantharaman, M., Hiller, M. (1993). Dynamic analysis of complex multibody systems using methods for differential-algebraic equations. In: Schiehlen, W. (eds) Advanced Multibody System Dynamics. Solid Mechanics and Its Applications, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0625-4_9
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DOI: https://doi.org/10.1007/978-94-017-0625-4_9
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