Abstract
Simple or complex systems characterized by large relative motions between their components find in the multibody dynamics formalisms the most general and efficient computational tools for their analysis. Initially restricted to the treatment of rigid bodies, the multibody methods are now widely used to describe the system components deformations, regardless of their linear or nonlinear nature. The ease of including in the multibody models different descriptions of the contact problems, control paradigms or equations of equilibrium of other disciplines is demonstrated here to show the suitability of these approaches to be used in multidisciplinary applications
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References
P. Nikravesh, Computer-Aided Analysis of Mechanical Systems, Prentice-Hall, Englewood Cliffs, New Jersey 1988.
J. Garcia de Jalon, E. Bayo, Kinematic and Dynamic Simulation of Mechanical Systems — The Real-Time Challenge, Springer-Verlag, Berlin 1994.
P. Nikravesh and G. Gim, Systematic construction of the equations of motion for multibody systems containing closed kinematic loops, Journal of Mechanical Design, Vol. 115, No.1, pp.143–149, 1993.
C.W. Gear, Numerical solution of differential-algebraic equations, IEEE Transactions on Circuit Theory, Vol. CT-18, pp.89–95, 1981.
J. Gonçalves and J. Ambrósio, Complex flexible multibody systems with application to vehicle dynamics, Multibody System Dynamics, Vol. 6, No.2, pp.163–182, 2001.
J. Ambrósio and P. Nikravesh, Elastic-plastic deformation in multibody dynamics, Nonlinear Dynamics, Vol. 3, pp.85–104, 1992.
F. Pfeiffer and C. Glocker, Multibody Dynamics with Unilateral Contacts, John Wiley and Sons, New York 1996.
H. Lankarani and P. Nikravesh, Continuous contact force models for impact analysis in multibody systems, Nonlinear Dynamics, Vol. 5, pp.193–207, 1994.
M. Valasek, Z. Šika, Evaluation of dynamic capabilities of machines and robots, Multibody System Dynamics, Vol. 5, pp.183–202, 2001.
H. Møller and E. Lund, Shape Sensitivity Analysis of Strongly Coupled Fluid-Structure Interaction Problems, [in:] Proc. 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA. AIAA Paper No.2000-4823, 2000.
H. Møller, E. Lund, J. Ambrósio and J. Gonçalves, Simulation of fluid loaded flexible multiple bodies, Multibody Systems Dynamics, Vol. 13, No.1, 2005.
J. Pombo and J. Ambrósio, General spatial curve joint for rail guided vehicles: kinematics and dynamics, Multibody Systems Dynamics, Vol. 9, pp.237–264, 2003.
J. Pombo and J. Ambrósio, A multibody methodology for railway dynamics applications, Technical Report IDMEC/CPM-04/002, IDMEC, Instituto Superior Técnico, Lisboa, Portugal, 2004.
M. Silva and J. Ambrósio, Kinematic data consistency in the inverse dynamic analysis of biomechanical systems, Multibody System Dynamics, Vol. 8, pp.219–239, 2002.
D. Tsirakos, V. Baltzopoulos and R. Bartlett, Inverse Optimization: Functional and Physiological Considerations Related to the Force-Sharing Problem, Critical Reviews in Biomedical Engineering, Vol. 25, Nos.4&5, pp.371–407, 1997.
M. Silva and J. Ambrósio, Human Motion Analysis Using Multibody Dynamics and Optimization Tools, Technical Report IDMEC/CPM-04/001, IDMEC, Instituto Superior Técnico, Lisboa, Portugal, 2004.
G.T.Yamaguchi, Dynamic Modeling of Musculoskeletal Motion, Kluwer Academic Publishers, Boston 2001.
H. Hertz Gesammelte Werke, Leipzig, Germany 1895.
N.W. Murray, The static approach to plastic collapse and energy dissipation in some thin-walled steel structures, [in:] Structural Crashworthiness, N. Jones and T. Wierzbicki [eds.], pp.44–65, Butterworths, London 1983.
C.M. Kindervater, Aircraft and helicopter crashworthiness: design and simulation, [in:] Crashworthiness Of Transportation Systems: Structural Impact And Occupant Protection, J.A.C. Ambrósio, M.S. Pereira and F.P Silva [eds.], NATO ASI Series E. Vol. 332, pp.525–577, Kluwer Academic Publishers, Dordrecht 1997.
P.E. Nikravesh, I.S. Chung, and R.L. Benedict, Plastic hinge approach to vehicle simulation using a plastic hinge technique, J. Comp. Struct. Vol. 16, pp.385–400, 1983.
30 mph Rollover Test of an AM General Model M151-A2 1/4 Ton Jeep, The Transportation Research Center of Ohio, Test Report, 1985.
K.-J. Bathe and S. Bolourchi, Large displacement analysis of three-dimensional beam structures, Int. J. Num. Methods in Engng., Vol. 14, pp.961–986, 1979.
M. Anantharaman and M. Hiller, Numerical simulation of mechanical systems using methods for differential-algebraic equations, Int. J. Num. Meth. Eng., Vol. 32, pp.1531–1542, 1991.
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Ambrósio, J.A. (2005). Multibody Dynamics: Bridging for Multidisciplinary Applications. In: Gutkowski, W., Kowalewski, T.A. (eds) Mechanics of the 21st Century. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3559-4_3
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DOI: https://doi.org/10.1007/1-4020-3559-4_3
Publisher Name: Springer, Dordrecht
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