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An enhanced cylindrical contact force model

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Abstract

The penalty formulations that describe the contact forces between different bodies of a mechanical system use the penetration as a representation of the local deformation. The dynamic analysis of the system is conducted assuming explicit or implicit relations between contact force and penetration, dependent on the geometries and material properties of the contacting points. Most of the cylindrical contact force models are based on the Hertz pressure distribution, exhibiting the same restrictions of the Hertz elastic contact theory, which prevent them from being used with conformal contact conditions often observed for low clearances. Furthermore, the existing cylindrical contact models represent the contact force as an implicit function of the penetration with logarithmic expressions, which pose some limitations in their use. We propose an alternative analytical cylindrical contact force model that describes the contact force as an explicit function of the penetration. The new enhanced cylindrical contact force model is based on the Johnson contact model and complementary finite element analysis valid for internal and external cylindrical contact. We show that, within the domain of validity of the Johnson contact force model, the forces predicted with the proposed model are well correlated with reference models, actually expanding their application range. The performance of the proposed model is demonstrated with the analysis of a multibody slider-crank mechanism in which one of the joints exhibits mechanical clearances.

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Authors and Affiliations

  1. Dept. of Mechanical Engineering, Polytechnic Institute of Coimbra, R. Pedro Nunes, 3030-199, Coimbra, Portugal

    C. Pereira

  2. Dept. of Mechanical Engineering, University of Coimbra, R. Luis Reis Santos, 3030-788, Coimbra, Portugal

    A. Ramalho

  3. LAETA, IDMEC, Instituto Superior Tecnico, University of Lisbon, Av. Rovisco Pais, 1049-001, Lisboa, Portugal

    J. Ambrosio

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  1. C. Pereira
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  2. A. Ramalho
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  3. J. Ambrosio
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Correspondence to J. Ambrosio.

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Pereira, C., Ramalho, A. & Ambrosio, J. An enhanced cylindrical contact force model. Multibody Syst Dyn 35, 277–298 (2015). https://doi.org/10.1007/s11044-015-9463-x

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