generalized-alpha method; multidisciplinary simulation; mechatronics; finite element method; block diagram language
Abstract :
[en] This paper presents an extension of the generalized-a time-integrator to mechatronic systems represented by coupled first and second-order DAEs. A simple reformulation of those equations as full second-order DAEs allows the implementation of a monolithic integration scheme, so that the numerical dissipation properties are preserved, and second-order accuracy is obtained at least in the unconstrained case. The algorithmic parameters can be optimized either for the mechanical or the control subsystem. Two illustrative applications are treated in the fields of vehicle dynamics and robotics.
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Bibliography
Géradin, M., Cardona, A., (2001) Flexible Multibody Dynamics: A Finite Element Approach, , John Wiley & Sons, New York
Newmark, N., A method of computation for structural dynamics (1959) ASCE J. Eng. Mech. Div., 85, pp. 67-94
Hilber, H., Hughes, T., Taylor, R., Improved numerical dissipation for time integration algorithms in structural dynamics (1977) Earthq. Eng. Struct. Dyn., 5, pp. 283-292
Chung, J., Hulbert, G.M., A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized-α method (1993) J. Appl. Mech., 60, pp. 371-375
Erlicher, S., Bonaventura, L., Bursi, O.S., The analysis of the generalized-a method for non-linear dynamic problems (2002) Comput. Mech., 28, pp. 83-104
Cardona, A., Géradin, M., Time integration of the equations of motion in mechanism analysis (1989) Comput. Struct., 33, pp. 801-820
Brùls, O., (2005) Integrated Simulation and Reduced-order Modeling of Controlled Flexible Multibody Systems, , Ph. D. thesis, University of Liège, Belgium
Brüls, O., Duysinx, P., Golinval, J.-C., A unified finite element framework for the dynamic analysis of controlled flexible mechanisms (2005) Proceedings of the ECCOMAS Conf. on Advances in Computational Multibody Dynamics, , Madrid, Spain
Lötsted, P., Petzold, L., Numerical solution of differential equations with algebraic constraints I: Convergence results for backward differentiation formulas (1986) Math. Comput., 46, pp. 491-516
Brenan, K.E., Engquist, B.E., Backward differentiation approximations of nonlinear differential/ algebraic systems (1988) Math. Comput., 51, pp. 659-676
Brenan, K.E., Campbell, S.L., Petzold, L.R., (1996) Numerical Solution of Initial-value Problems in Differential-algebraic Equations, Second Ed., , SIAM, Philadelphia
Hairer, E., Wanner, G., (1996) Solving Ordinary Differential Equations II - Stiff and Differential-algebraic Problems, Second Ed., , Springer-Verlag, Berlin
Owren, B., Simonsen, H.H., Alternative integration methods for problems in structural dynamics (1995) Comput. Methods Appl. Mech. Eng., 122, pp. 1-10. , Netherlands
Negrut, D., Rampalli, R., Ottarsson, G., Sajdak, A., On the use of the HHT method in the context of index 3 differential algebraic equations of multi-body dynamics (2005) Proceedings of the ECCOMAS Conf. on Advances in Computational Multibody Dynamics, , Madrid, Spain
Cardona, A., Klapka, I., Géradin, M., Design of a new finite element programming environment (1994) Eng. Comput., 11, pp. 365-381
Géradin, M., Rixen, D., (1997) Mechanical Vibrations: Theory and Application to Structural Dynamics, Second Ed., , John Wiley & Sons. New York
Brüls, O., Golinval, J.-C., On the numerical damping of time integrators for coupled mechatronic systems (2006) Comput. Methods Appl. Mech. Eng., , submitted to (Netherlands)
Jansen, K.E., Whiting, C.H., Hulbert, G.M., A generalized-a method for integrating the filtered navier-stokes equations with a stabilized finite element method (2000) Comput. Methods Appl. Mech. Eng., 190, pp. 305-319. , Netherlands
Lauwerys, C., Swevers, J., Sas, P., Model free design for a semi-active suspension of a passenger car (2004) Proceedings of ISMA 2004, , Leuven, Belgium
Huggins, J.D., (1988) Experimental Verification of a Model of a Two-link Flexible, Lightweight Manipulator, , Master's thesis, Georgia Institute of Technology
Wilson, T.R., (1986) The Design and Construction of Flexible Manipulators, , Master's thesis, Georgia Institute of Technology
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