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A Novel Time-Stepping Method for Multibody Systems with Frictional Impacts

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Advances in Nonlinear Dynamics

Part of the book series: NODYCON Conference Proceedings Series ((NCPS))

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Abstract

A new numerical integration method is presented for a class of multibody systems, exhibiting single frictional impacts. This method is a time-stepping scheme, involving incorporation of a novel return map into an augmented Lagrangian formulation, developed recently for systems with bilateral constraints. When an impact is detected, this map is applied at the end of the step and brings the system position back to the manifold with the allowable motions. In addition, the equations of motion during the impact phase are geometrically discretized by appropriate cubic splines on the configuration manifold. Finally, the accuracy and efficiency of the method is demonstrated by a set of examples.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Aristotle University, Thessaloniki, Greece

    Sotirios Natsiavas, Panagiotis Passas & Elias Paraskevopoulos

Authors
  1. Sotirios Natsiavas
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  2. Panagiotis Passas
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  3. Elias Paraskevopoulos
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Corresponding author

Correspondence to Sotirios Natsiavas .

Editor information

Editors and Affiliations

  1. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome, Italy

    Walter Lacarbonara

  2. Department of Mechanical Engineering, University of Maryland, College Park, MD, USA

    Balakumar Balachandran

  3. Department of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, USA

    Michael J. Leamy

  4. Department of Physics, Lanzhou University of Technology, Lanzhou, Gansu, China

    Jun Ma

  5. ISEP-Institute of Engineering, Polytechnic of Porto, Porto, Portugal

    J. A. Tenreiro Machado

  6. Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary

    Gabor Stepan

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Natsiavas, S., Passas, P., Paraskevopoulos, E. (2022). A Novel Time-Stepping Method for Multibody Systems with Frictional Impacts. In: Lacarbonara, W., Balachandran, B., Leamy, M.J., Ma, J., Tenreiro Machado, J.A., Stepan, G. (eds) Advances in Nonlinear Dynamics. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-030-81166-2_44

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  • DOI: https://doi.org/10.1007/978-3-030-81166-2_44

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-81165-5

  • Online ISBN: 978-3-030-81166-2

  • eBook Packages: EngineeringEngineering (R0)

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