An efficiency comparison of different ANCF implementations. (March 2023)

• Record Type: Journal Article
• Authors: Taylor, Michael; Serban, Radu; Negrut, Dan
• Is Part Of: International journal of non-linear mechanics. Volume 149(2023)
• Publication Date: 2023-03
• Subjects: Finite element method -- Flexible multibody dynamics -- Absolute nodal coordinate formulation -- Linear viscoelastic; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2022.104308
• Languages: English
• ISSNs: 0020-7462

Abstract

Abstract: For multibody dynamics simulation using the Absolute Nodal Coordinate Formulation, multiple strategies are reported in the linear elastic material literature for calculating the generalized internal force and its Jacobian matrix. When examining the presentation of these strategies, which are all sound, it is difficult to assess which method is more efficient. We seek to clarify this issue by reporting the results of a comprehensive study that included five different ANCF solution strategies discussed in the literature. To increase the relevance of the study, we first extended these methods to incorporate a linear viscoelastic material model to account for damping effects within the elements. A beam, a shell, and a hexahedral element are each examined to provide a broader comparison. Both simple hand calculations and actual timing comparisons on a multi-core CPU architecture are investigated. For the simple beam element, only small differences manifest among the methods studied. However, for the shell and hexahedral elements, we noticed pronounced performance and storage cost differences among the methods. Highlights: Comparison of ANCF linear elastic generalized internal force and Jacobian strategies C++ implementation of several ANCF methodologies enabling fair timing comparisons Highlights importance of aligning software implementations to the computer hardware Companion paper's solution methodology lead to a more efficient ANCF implementation