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On the Modeling of Shells in Multibody Dynamics

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Abstract

Energy preserving/decaying schemes are presented for the simulation ofthe nonlinear multibody systems involving shell components. Theproposed schemes are designed to meet four specific requirements:unconditional nonlinear stability of the scheme, a rigorous treatmentof both geometric and material nonlinearities, exact satisfaction ofthe constraints, and the presence of high frequency numericaldissipation. The kinematic nonlinearities associated with arbitrarilylarge displacements and rotations of shells are treated in a rigorousmanner, and the material nonlinearities can be handled when theconstitutive laws stem from the existence of a strain energy densityfunction. The efficiency and robustness of the proposed approach isillustrated with specific numerical examples that also demonstrate theneed for integration schemes possessing high frequency numericaldissipation.

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Authors and Affiliations

  1. School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, 30332-0150, U.S.A

    Olivier A. Bauchau & Jou-Young Choi

  2. Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, I-20138, Milano, Italy

    Carlo L. Bottasso

Authors
  1. Olivier A. Bauchau
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  2. Jou-Young Choi
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  3. Carlo L. Bottasso
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Bauchau, O.A., Choi, JY. & Bottasso, C.L. On the Modeling of Shells in Multibody Dynamics. Multibody System Dynamics 8, 459–489 (2002). https://doi.org/10.1023/A:1021109015553

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