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On the existence of chaotic circumferential waves in spinning disks

Angoshtari, A ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1063/1.2735813
  3. Publisher: American Institute of Physics Inc , 2007
  4. Abstract:
  5. We use a third-order perturbation theory and Melnikov's method to prove the existence of chaos in spinning circular disks subject to a lateral point load. We show that the emergence of transverse homoclinic and heteroclinic points lead, respectively, to a random reversal in the traveling direction of circumferential waves and a random phase shift of magnitude π for both forward and backward wave components. These long-term phenomena occur in imperfect low-speed disks sufficiently far from fundamental resonances. © 2007 American Institute of Physics
  6. Keywords:
  7. Circular saws ; Rotating disks ; Blades
  8. Source: Chaos ; Volume 17, Issue 2 , 2007 ; 10541500 (ISSN)
  9. URL: https://aip.scitation.org/doi/10.1063/1.2735813