Discontinuous galerkin method and dual-SLERP for time integration of flexible multibody dynamics

Shilei Han; Olivier A. Bauchau

doi:10.1115/1.4046736

Discontinuous galerkin method and dual-SLERP for time integration of flexible multibody dynamics

Shilei Han^*, Olivier A. Bauchau

^*Corresponding author for this work

University of Maryland, College Park

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A novel time-discontinuous Galerkin (DG) method is introduced for the time integration of the differential-algebraic equations governing the dynamic response of flexible multibody systems. In contrast to traditional Galerkin methods, the rigid-body motion field is interpolated using the dual spherical linear scheme. Furthermore, the jumps inherent to time-DG methods are expressed in terms of a parameterization of the relative motion from one time-step to the next. The proposed scheme is third-order accurate for initial value problems of both rigid and flexible multibody dynamics.

Original language	English
Article number	091003
Journal	Journal of Computational and Nonlinear Dynamics
Volume	15
Issue number	9
DOIs	https://doi.org/10.1115/1.4046736
Publication status	Published - Sept 2020
Externally published	Yes

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Han, S., & Bauchau, O. A. (2020). Discontinuous galerkin method and dual-SLERP for time integration of flexible multibody dynamics. Journal of Computational and Nonlinear Dynamics, 15(9), Article 091003. https://doi.org/10.1115/1.4046736

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abstract = "A novel time-discontinuous Galerkin (DG) method is introduced for the time integration of the differential-algebraic equations governing the dynamic response of flexible multibody systems. In contrast to traditional Galerkin methods, the rigid-body motion field is interpolated using the dual spherical linear scheme. Furthermore, the jumps inherent to time-DG methods are expressed in terms of a parameterization of the relative motion from one time-step to the next. The proposed scheme is third-order accurate for initial value problems of both rigid and flexible multibody dynamics.",

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Discontinuous galerkin method and dual-SLERP for time integration of flexible multibody dynamics

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