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Application of a-priori hyper-reduction to the nonlinear dynamic finite element simulation of a rolling car tire

Journal Contribution - Journal Article

The a-priori Multi-Expansion Modal (MEM) hyper-reduction method for nonlinear structural dynamics finite element problems is described, extended and applied to the dynamic nonlinear finite element simulation of a car tire rolling over a rough road surface, including geometrical, material, follower force and contact nonlinearities. Rather than using time-domain training simulation data, a-priori calculated static nonlinear contact configurations and eigenmodes are used as a reduction basis and to perform the hyper-reduction element sampling. The hyper-reduction element sampling is performed by solving an L1 optimization problem subject to a set of equality constraints. This yields a reduced set of elements with an a-priori known cardinality, which depends on the amount of constraints taken into consideration and the reduction basis dimension. It is shown that care has to be taken during the hyper-reduction process when considering distributed contact constraints, as is the case for e.g. a tire rolling over a rough road surface. Large speedup factors can be obtained while still retaining a relatively high accuracy, making application of the MEM method suitable to for instance industrial design optimization cases.
Journal: Journal of Computational and Nonlinear Dynamics
ISSN: 1555-1415
Issue: 11
Volume: 14
Pages: 111009-1 - 111009-13
Number of pages: 13
Publication year:2019
Keywords:General & traditional engineering, Classical physics