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Dynamics of mechanical systems involving impact and friction using an efficient contact detection algorithm.pdf
International Journal of Non-Linear Mechanics ? (????) ???–???
Contents lists available at ScienceDirect
International Journal of Non-Linear Mechanics
journal homepage: /locate/nlm
Dynamics of mechanical systems involving impact and friction using an ef?cient contact detection algorithm
Antonios Pournaras, Fotios Karaoulanis, Sotirios Natsiavas n
Department of Mechanical Engineering Aristotle University, 54 124 Thessaloniki, Greece
article info
Article history: Received 7 June 2016 Accepted 17 August 2016
Keywords: Mechanical systems with impact and friction Contact detection algorithm Mechanical toys Rolling bearing mechanism
abstract
In this work, some new results are presented on the dynamics of a class of multibody mechanical systems, involving contact and friction. The main contribution refers to the development of a systematic, accurate and ef?cient method for detecting contact among the components of a system of solid bodies. For some simple geometries, this task is achieved by employing analytical means. For systems possessing components with complex geometric shapes a more involved numerical methodology is developed. In both cases, once a potential contact point is detected, the common tangent plane and normal vector are located and the penetration depth is calculated, leading to determination of the force arising between the contacting bodies. This information is then passed to a solver, providing the full dynamic response of the system. The validity and numerical ef?ciency of the methodology developed is ?rst demonstrated by considering a number of examples with relatively small geometric complexity but large traditional value and interesting dynamic response. Some new results are obtained and presented on the dynamics of these systems. Finally, the same methodology is also tested in a more complicated and demanding mechanical application.
2016 Elsevier Ltd. All rights reserved.
1. Introduction
Accurate and ef?cient prediction of the dynamics of a multib
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