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.

Highlights

  • Multibody System Dynamics MSD has its roots in the works carried out by Lagrange who, based on the past studies by figures such as Newton, Euler and Kepler, developed his well-known treatise on analytical mechanics and conceived to solve complex mechanical systems [1]

  • A multibody system is established as a “set of bodies whose relative motion can be restricted by kinematic joints and that is subjected to the action of external forces” [21]

  • In order to restrict the degrees of freedom and relative motion between bodies, kinematic joints are used since they determine the relative motion between bodies

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Summary

Introduction

Multibody System Dynamics MSD has its roots in the works carried out by Lagrange who, based on the past studies by figures such as Newton, Euler and Kepler, developed his well-known treatise on analytical mechanics and conceived to solve complex mechanical systems [1]. It was not until the last decades when the rise of computers made it possible to automate these calculations. A multibody system is established as a “set of bodies whose relative motion can be restricted by kinematic joints and that is subjected to the action of external forces” [21]. The term forces covers a wide range of loads from diverse origins (punctual/linear/surface/volume forces, momentums, etc.)

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