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Various Strategies of Elastic Forces Evaluation in the Absolute Nodal Coordinate Formulation

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Advances in Mechanism Design II

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 44))

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Abstract

This paper deals with the description of the absolute nodal coordinate formulation (ANCF) which is suitable for the flexible bodies modelling considering large deformation. As it is shown for beam ANCF elements, this formulation leads to the nonlinear expression of elastic forces, which could be the main disadvantage of the ANCF. The evaluation of these forces can be done by numerical integration in each computational step or by analytical derivation with the help of a software for symbolic operations. The computational performance of various elastic forces evaluation strategies is investigated using a benchmark problem of falling flexible pendulum.

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References

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Acknowledgments

The first author was supported by the project LO1506 of the Czech Ministry of Education, Youth and Sports and the second author was supported by the project 15-20134S of the Czech Science Foundation.

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Authors and Affiliations

  1. University of West Bohemia, Pilsen, Czech Republic

    R. Bulín & M. Hajžman

Authors
  1. R. Bulín
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  2. M. Hajžman
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Corresponding author

Correspondence to R. Bulín .

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Editors and Affiliations

  1. Textile Machine Design Department, Technical University of Liberec Textile Machine Design Department, Liberec, Czech Republic

    Jaroslav Beran

  2. Textile Machine Design Department, Technical University of Liberec Textile Machine Design Department, Liberec, Czech Republic

    Martin Bílek

  3. Faculty of Mechanical Engineering, Technical University of Liberec, Liberec, Czech Republic

    Petr Žabka

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Bulín, R., Hajžman, M. (2017). Various Strategies of Elastic Forces Evaluation in the Absolute Nodal Coordinate Formulation. In: Beran, J., Bílek, M., Žabka, P. (eds) Advances in Mechanism Design II. Mechanisms and Machine Science, vol 44. Springer, Cham. https://doi.org/10.1007/978-3-319-44087-3_23

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  • DOI: https://doi.org/10.1007/978-3-319-44087-3_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44086-6

  • Online ISBN: 978-3-319-44087-3

  • eBook Packages: EngineeringEngineering (R0)

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