Summary
A parameter optimization problem subject to mechanical multibody dynamics in descriptor form is solved by a multiple shooting method. The equations of motion are discretized by linearized Runge-Kutta methods, which only require the solution of linear equation systems instead of nonlinear ones in each integration step. This allows to use fixed step-sizes during integration and leads to a speed-up in the numerical solution of the parameter optimization problem when compared to BDF methods with step-size and order selection. The capability of the method is demonstrated at two examples.
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Gerdts, M. (2004). Parameter Optimization in Mechanical Multibody Systems and Linearized Runge-Kutta Methods. In: Buikis, A., Čiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_12
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DOI: https://doi.org/10.1007/978-3-662-09510-2_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07262-8
Online ISBN: 978-3-662-09510-2
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