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Describing function of two masses with backlash

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Abstract

This paper analyzes the dynamical properties of systems with backlash and impact phenomena based on the describing function method. It is shown that this type of nonlinearity can be analyzed in the perspective of the fractional calculus theory. The fractional dynamics is compared with that of standard models.

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Authors and Affiliations

  1. Department of Mathematics, School of Technology, Viseu, Portugal

    Fernando B. Duarte

  2. Department of Electrotechnical Engineering, Institute of Engineering, Porto, Portugal

    J. Tenreiro Machado

Authors
  1. Fernando B. Duarte
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  2. J. Tenreiro Machado
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Correspondence to Fernando B. Duarte.

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Duarte, F.B., Machado, J.T. Describing function of two masses with backlash. Nonlinear Dyn 56, 409–413 (2009). https://doi.org/10.1007/s11071-008-9410-y

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  • DOI: https://doi.org/10.1007/s11071-008-9410-y

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