Abstract
Multibody systems are intensively used to simulate the dynamic behavior of interconnected rigid and/or flexible bodies, i.e., the mechanical system models encountered in many technological disciplines like robotics, spacecrafts design, machine/vehicle dynamics and biomechanics. Based on classical mechanics, and stimulated by the powerful investigation tools offered by computational techniques, numerous effective multibody formalisms have been developed to analyze the increasingly complex mechanical systems (Schiehlen, 1990, 1997; Shabana, 1997; Eberhard and Schiehlen, 2006)
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References
Blajer, W. A geometric unification of constrained system dynamics. Multibody System Dynamics, 1, 3–21, 1997.
Blajer, W. A geometrical interpretation and uniform matrix formulation of multibody system dynamics. ZAMM, 81, 247–259, 2001.
Desloge, E. A. The Gibbs-Appell equations of motion. American Journal of Physics, 56, 841–846, 1998.
Eberhard, P., and Schiehlen, W. Computational dynamics of multibody systems: history, formalisms, and applications. Journal of Computational and Nonlinear Dynamics, 1, 3–12, 2006.
Essén, H. On the geometry of nonholonomic dynamics, Journal of Applied Mechanics, 61, 689–694, 1994.
GarcÃa de Jalón, J., and Bayo, E. Kinematic and Dynamic Simulation of Multibody Systems: the Real-Time Challenge. Springer-Verlag, New York, New York, 1994.
Jungnickel, U. Differential-algebraic equations in Riemannian spaces and applications to multibody system dynamics. ZAMM, 74, 409–415, 1994.
Kane, T.R., and Levinson, D.A. Dynamics: Theory and Applications. McGraw-Hill, New York, New York, 1985.
Korn, G.A., and Korn, T.M. Mathematical Handbook for Scientists and Engineers. McGraw-Hill, New York, New York, 1968.
Lesser, M. A geometrical interpretation of Kane’s equations. Proceedings of the Royal Society in London, A436:69–87, 1992.
Maisser, P. Analytische Dynamik von Mehrkörpersystemen. ZAMM, 68, 463–481, 1988.
Maisser, P. Differential-geometric methods in multibody dynamics. Nonlinear Analysis, Theory, Methods & Analysis, 30, 5127–5133, 1997.
Neimark, J.I., and Fufaev, N.A. Dynamics of Nonholonomic Systems. Translation of Mathematical Monographs, No. 33, American Mathematical Society, Providence, 1972.
Nikravesh, P.E. Computer-Aided Analysis of Mechanical Systems. Prentice-Hall, Englewood Cliffs, New Jersey, 1988.
Schiehlen, W., ed. Multibody System Handbook, Springer-Verlag, Berlin, Germany, 1990.
Schiehlen, W. Multibody system dynamics: roots and perspectives. Multibody System Dynamics, 1, 149–188, 1997.
Shabana, A.A. Flexible multibody dynamics: review of past and recent developments. Multibody System Dynamics, 1, 189–222, 1997.
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Blajer, W. (2009). Differential-Geometric Aspects of Constrained System Dynamics. In: Ambrósio, J.A.C., Eberhard, P. (eds) Advanced Design of Mechanical Systems: From Analysis to Optimization. CISM International Centre for Mechanical Sciences, vol 511. Springer, Vienna. https://doi.org/10.1007/978-3-211-99461-0_4
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DOI: https://doi.org/10.1007/978-3-211-99461-0_4
Publisher Name: Springer, Vienna
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