2024/06/17 by Kiran Sagar Kollepara, José Vicente Aguado, Kollepara, Kiran Sagar +7
Computer Science · Engineering · #Adhesion, Friction, and Surface Interactions #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Gear and Bearing Dynamics Analysis #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2406.11461
openalex publication_date 2024/06/17 · openalex created_date 2024/06/18 · openalex updated_date 2026/07/28
Low-rank model order reduction strategies for contact mechanics show limited dimensionality reduction due to linear inseparability of contact pressure field. Therefore, a dictionary based strategy is explored for creating efficient models for frictionless non-adhesive contact. A large dictionary of contact pressure trajectories is generated using a high-fidelity finite element model, while approximating the online query with a small number of dictionary entries. This is achieved by inducing sparsity in the approximation. Accuracy, computational effort and limitations of such methods are demonstrated on few numerical examples.