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A robust nonsmooth generalized-\(\alpha \) scheme for flexible systems with impacts

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Abstract

The aim of this work is the development of a robust and accurate time integrator for the simulation of the dynamics of multibody systems composed of rigid and/or flexible bodies subject to frictionless contacts and impacts. The integrator is built upon a previously developed nonsmooth generalized-\(\alpha \) scheme time integrator which was able to deal well with nonsmooth dynamical problems avoiding any constraint drift phenomena and capturing vibration effects without introducing too much numerical dissipation. However, when dealing with problems involving nonlinear bilateral constraints and/or flexible elements, it is necessary to adopt small time-step sizes to ensure the convergence of the numerical scheme. In order to tackle these problems more efficiently, a fully decoupled version of the nonsmooth generalized-\(\alpha \) method is proposed in this work, avoiding these inconveniences. Several examples are considered to assess its accuracy and robustness.

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Acknowledgements

This work has received financial support from Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Agencia Nacional de Promoción Científica y Tecnológica (ANPCyT) PICT2015-1067, Universidad Tecnológica Nacional PID-UTN UTI4790TC and from the M4 project funded by the Walloon Region (Pôle MecaTech), which are gratefully acknowledged.

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Authors and Affiliations

  1. Department of Aerospace and Mechanical Engineering, University of Liège, Allée de la Découverte 9, 4000, Liège, Belgium

    Alejandro Cosimo, Javier Galvez & Olivier Brüls

  2. Centro de Investigación de Métodos Computacionales (CIMEC), Colectora Ruta Nac Nro 168, Km 0, Paraje El Pozo, 3000, Santa Fe, Argentina

    Alejandro Cosimo, Federico J. Cavalieri & Alberto Cardona

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  1. Alejandro Cosimo
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  2. Javier Galvez
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  3. Federico J. Cavalieri
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  4. Alberto Cardona
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  5. Olivier Brüls
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Correspondence to Olivier Brüls.

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Cosimo, A., Galvez, J., Cavalieri, F.J. et al. A robust nonsmooth generalized-\(\alpha \) scheme for flexible systems with impacts. Multibody Syst Dyn 48, 127–149 (2020). https://doi.org/10.1007/s11044-019-09692-2

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