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Nondimensional modelling of 2D beam for slope discontinuity problem in ANCF

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Abstract

Various mechanical and structural systems possess slope discontinuity. Some bodies with slope discontinuity can be modeled using absolute nodal coordinate formulation, which can accurately express the rigid body mode when using the element and global shape functions. However, at the intersection of slope discontinuities, it is not easy to construct the equation of motion because the orientation changes. The problem of modeling at the intersection can be solved by defining the global slope vector in the body coordinate system instead of the element coordinate system. The analysis time in absolute nodal coordinate formulation is mostly greater than that in floating frame of reference formulation owing to the highly non-linear stiffness matrix. In this study, based on the work of Shabana and Mikkola, the analysis efficiency was demonstrated using the nondimensional model for the slope discontinuity problem in the absolute node coordinate system.

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Acknowledgments

This research was supported by the Korea Institute of Industrial Technology (KITECH), and the Basic Science Research Program through the National Research Foundation of Korea (NRF) with funding by the Ministry of Education (No. 2018R1D1A1A09083567).

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Authors and Affiliations

  1. Department of Mechanical Engineering, Pusan National University, Busan, 46241, Korea

    Jiheon Kang

  2. Daegyeong Division, Korea Institute of Industrial Technology, Daegu, 42994, Korea

    Jaewook Lee, Jinseok Jang, Changyoung Choi & Kunwoo Kim

Authors
  1. Jiheon Kang
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  2. Jaewook Lee
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  3. Jinseok Jang
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  4. Changyoung Choi
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  5. Kunwoo Kim
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Corresponding author

Correspondence to Kunwoo Kim.

Additional information

Jiheon Kang received his B.S. degree from Pusan National University (2015), M.S. from Pusan National University (2017). And he is currently doing his doctoral studies in Pusan National University. His major area is a multi-body dynamics.

Kunwoo Kim received his B.S., M.S. and Ph.D. degrees from Pusan National University in 2007, 2009 and 2014, respectively. And he is currently a Principal Researcher in Korea Institute of Industrial Technology. His major area is a flexible multi-body dynamics and a nonlinear dynamics.

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Kang, J., Lee, J., Jang, J. et al. Nondimensional modelling of 2D beam for slope discontinuity problem in ANCF. J Mech Sci Technol 34, 3545–3552 (2020). https://doi.org/10.1007/s12206-020-0806-z

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  • DOI: https://doi.org/10.1007/s12206-020-0806-z

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