A nonholonomic Newmark method

Using the nonholonomic exponential map, we obtain a new version of Newmark-type methods for nonholonomic systems (see also Jay and Negrut(2009) for a different extension). We give numerical examples including a test problem where the structure of reversible integrability responsible for good energy...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2023-03, Vol.421, p.114873, Article 114873
Main Authors: Anahory Simoes, Alexandre, Ferraro, Sebastián J., Marrero, Juan Carlos, Martín de Diego, David
Format: Article
Language:English
Subjects:
Newmark method
Nonholonomic exponential map
Nonholonomic mechanics
Numerical integration
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Summary:Using the nonholonomic exponential map, we obtain a new version of Newmark-type methods for nonholonomic systems (see also Jay and Negrut(2009) for a different extension). We give numerical examples including a test problem where the structure of reversible integrability responsible for good energy behaviour as described in Modin and Verdier (2020) is lost. We observe that the composition of two Newmark methods is able to produce good energy behaviour on this test problem.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2022.114873