Spatial Algorithms for Geometric Contact Detection in Multibody System Dynamics

Eduardo Corral, Raúl Gismeros Moreno, Jesús Meneses, María Jesús Gómez García and Cristina Castejón
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Eduardo Corral: Maqlab Research Group, Departament of Mechanical Engineering, Universidad Carlos III de Madrid, 28911 Leganés, Spain
Raúl Gismeros Moreno: Maqlab Research Group, Departament of Mechanical Engineering, Universidad Carlos III de Madrid, 28911 Leganés, Spain
Jesús Meneses: Maqlab Research Group, Departament of Mechanical Engineering, Universidad Carlos III de Madrid, 28911 Leganés, Spain
María Jesús Gómez García: Maqlab Research Group, Departament of Mechanical Engineering, Universidad Carlos III de Madrid, 28911 Leganés, Spain
Cristina Castejón: Maqlab Research Group, Departament of Mechanical Engineering, Universidad Carlos III de Madrid, 28911 Leganés, Spain

Mathematics, 2021, vol. 9, issue 12, 1-22

Abstract: In the present work, different algorithms for contact detection in multibody systems based on smooth contact modelling approaches are presented. Beginning with the simplest ones, some difficult interactions are subsequently introduced. In addition, a brief overview on the different kinds of contact/impact modelling is provided and an underlining of the advantages and the drawbacks of each of them is determined. Finally, some practical examples of each interaction are presented and analyzed and an outline of the issues arisen during the design process and how they have been solved in order to obtain stable and accurate results is given. The main goal of this paper is to provide a resource for the early-stage researchers in the field that serves as an introduction to the modelling of simple contact/impact events in the context of multibody system dynamics.

Keywords: multibody system dynamics; contact detection; smooth modelling; geometric algorithms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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