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Absolute nodal coordinate formulation of tetrahedral solid element

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Abstract

A solid tetrahedral finite element employing the absolute nodal coordinate formulation (ANCF) is presented. In the ANCF, the mass matrix and vector of the generalized gravity forces used in the equations of motion are constant, whereas the vector of the elastic forces is highly nonlinear. The proposed solid element uses translations of nodes as sets of nodal coordinates. The tetrahedral shape of the element makes it suitable for modeling structures with complex shapes, and the small number of the degrees of freedom enables good performance and versatile application to problems of structural dynamics. The accuracy and convergence of the element were investigated using statics and dynamics benchmarks and a practical industry application.

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Acknowledgements

This research was supported by Agency for Defense Development under the contract UD150022GD, National Research Foundation of Korea(NRF) grant 2016R1A2B2015794, and the 2016 KU Brain Pool of Konkuk University.

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Authors and Affiliations

  1. School of Mechanical Engineering, Konkuk University, Seoul, 143-701, Korea

    Alexander Olshevskiy & Chang-Wan Kim

  2. Research Department, Bryansk State Technical University, 7, Bulv. 50 Let Oktyabrya, Bryansk, Russia, 241035

    Oleg Dmitrochenko

  3. Department of Mechanical Engineering, Hanyang University, Ansan, 426-791, Korea

    Hyun-Ik Yang

Authors
  1. Alexander Olshevskiy
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  2. Oleg Dmitrochenko
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  3. Hyun-Ik Yang
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  4. Chang-Wan Kim
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Correspondence to Chang-Wan Kim.

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Olshevskiy, A., Dmitrochenko, O., Yang, HI. et al. Absolute nodal coordinate formulation of tetrahedral solid element. Nonlinear Dyn 88, 2457–2471 (2017). https://doi.org/10.1007/s11071-017-3389-1

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  • DOI: https://doi.org/10.1007/s11071-017-3389-1

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