A nonsmooth RATTLE algorithm for mechanical systems with frictional unilateral constraints
Breuling J, Capobianco G, Eugster SR, Leine RI (2024)
Publication Type: Journal article, Original article
Publication year: 2024
Journal
Book Volume: 52
Pages Range: 101469
Article Number: 101469
DOI: doi.org/10.1016/j.nahs.2024.101469
Abstract
In 1983, Andersen proposed the RATTLE algorithm as an extension of the SHAKE algorithm. The RATTLE algorithm is a well-established method for simulating mechanical systems with perfect bilateral constraints. This paper further extends RATTLE for simulating nonsmooth mechanical systems with frictional unilateral constraints (i.e. frictional contact). With that, it satisfies the need for higher-order integration methods within the framework of nonsmooth contact dynamics in phases where the contact status does not change (i.e. no collisions/constant sliding states). In particular, the proposed method can simulate impact-free motions, such as persistent frictional contact, with second-order accurate positions and velocities and prohibits penetration by unilateral constraints on position level.
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Germany (DE)How to cite
APA:
Breuling, J., Capobianco, G., Eugster, S.R., & Leine, R.I. (2024). A nonsmooth RATTLE algorithm for mechanical systems with frictional unilateral constraints. Nonlinear Analysis: Hybrid Systems, 52, 101469. https://doi.org/doi.org/10.1016/j.nahs.2024.101469
MLA:
Breuling, Jonas, et al. "A nonsmooth RATTLE algorithm for mechanical systems with frictional unilateral constraints." Nonlinear Analysis: Hybrid Systems 52 (2024): 101469.
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