• Corpus ID: 235742649

Theory of vibrators with variable-order fractional forces

  title={Theory of vibrators with variable-order fractional forces},
  author={Ming Li},
  • Ming Li
  • Published 6 July 2021
  • Mathematics
In this paper, we present a theory of six classes of vibrators with variable-order fractional forces of inertia, damping, and restoration. The novelty and contributions of the present theory are reflected in six aspects. 1) Equivalent motion equations of those variable-order fractional vibrators are proposed. 2) The analytical expressions of the effective mass, damping, and stiffness of those variable-order fractional vibrators are presented. 3) The asymptotic properties of the effective mass… 

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