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Interior-Point Solver for Non-smooth Multi-Body Dynamics with Finite Elements

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Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 53))

Abstract

The increasing complexity of dynamic simulations involving unilateral constraints, such as contacts, is pushing for new solvers that may address the problem of handling non-smooth impact events in a more efficient and accurate manner, especially in mixed rigid and flexible-bodies simulations. For this purpose, a new implementation of an interior-point solver for Quadratic Cone Programming is proposed. Even though the general idea of considering multibody system formulations as a parallel of an optimization/programming problem is already known in literature ([3, 4, 6]), still very few options are available for those problems whose complexity is due to contacts with friction and finite-elements at the same time. The opportunity to handle those problems in a unified numerical framework could trigger a novel interest both in scientific and applied researches.

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Notes

  1. 1.

    The solver has been tested with many more element types, provided by the Chrono library: linear, quadratic, non-linear, isogeometric formulations with and without plasticity, geometric and material non-linearity, beams, shells, solids, cables,...

References

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Correspondence to Dario Mangoni .

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Mangoni, D., Tasora, A., Benatti, S. (2020). Interior-Point Solver for Non-smooth Multi-Body Dynamics with Finite Elements. In: Kecskeméthy, A., Geu Flores, F. (eds) Multibody Dynamics 2019. ECCOMAS 2019. Computational Methods in Applied Sciences, vol 53. Springer, Cham. https://doi.org/10.1007/978-3-030-23132-3_41

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  • DOI: https://doi.org/10.1007/978-3-030-23132-3_41

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-23131-6

  • Online ISBN: 978-3-030-23132-3

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