Abstract
Friction modeling is essential in a vast amount of engineering applications. In this paper Mindlin contact friction model, a Masing rule compliant model, is manipulated in order to find a correlation with Dahl dynamic friction model, a Masing rule not compliant model. The resulting equations are then numerically compared and the correlation demonstrated with several loading functions. The result is a modified Dahl model that captures the partial slip behavior following the contact theory. The Dahl model, classically used in control engineering as an empirical model due to its implementation facility, finds in this new formulation a physical meaning to its parameters and finally identified physical parameters (according from Mindlin model) for the Dahl model.
Highlights
Friction plays a fundamental role in a wide variety of physical systems and the research community around this topic is always very active
In the tribology field, friction models are needed in order to evaluate the fatigue life of bodies in contact, while for other disciplines, such as control engineering, friction models are necessary in order to develop control strategies that are able to compensate for the friction behavior
The results of the application of this particular excitation produces the results shown in Fig. 8: it’s possible to say that there is a good matching even if the assumptions of Mindlin model are not respected(steady sine excitation of amplitude T∗)
Summary
Friction plays a fundamental role in a wide variety of physical systems and the research community around this topic is always very active. The creation of models to accurately describe the phenomenon of friction has always been one of the main objectives of this research field, but the underlying reasons were different. Friction models can be divided into two main categories: macro-models and constitutive models. Macro-models are based on empirical and experimental observations of the friction behavior and are divided in three main categories: quasi-static, dynamic and hysteretic models. The simplest and best-known quasi-static model is Coulomb’s, from which other models were derived, in order to take into account phenomena such as viscous friction, Stribeck effect, stiction and kinetic friction. Especially in programmed handling activities, friction is an important physical phenomenon to master in order to ensure reliability and precision [7]
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