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      Permanent link:
      https://www.ias.ac.in/article/fulltext/sadh/044/04/0076

    • Keywords

       

      Higuchi’s fractal dimensions; localized defect; unbalanced rotor; cylindrical roller bearing; Poincare´ maps.

    • Abstract

       

      In the present study, localized surface defects are modelled in inner race and outer race, and nonlinear dynamic behaviour of the system has been observed and quantified using Higuchi’s fractal dimensions. The Hertzian contact among the rollers and races, clearance and nonlinear damping are considered assources of nonlinearity. Dynamic responses show system behaviour as periodic, quasi-periodic and chaotic at different rotor speeds. The onset of chaotic motion is identified using Poincare´ maps and Higuchi’s fractal dimensions. The system shows low peak-to-peak amplitude of vibration responses at higher speeds in thepresence of defects. Results also indicate that Higuchi’s fractal dimensions can be effectively used as a diagnostic tool for health monitoring.

    • Author Affiliations

       

      ADITYA SHARMA1 M AMARNATH2 PAVAN KUMAR KANKAR3

      1. Department of Mechanical Engineering, Faculty of Engineering, Dayalbagh Educational Institute, Agra 282005, India
      2. Mechanical Engineering Discipline, PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur 482005, India
      3. Discipline of Mechanical Engineering, Indian Institute of Technology, Indore 453552, India

    • Dates

       
      Published
      April 2019
      Manuscript received
      30 November 2015
      Manuscript revised
      10 May 2018
      Accepted
      17 December 2018
      Final version published online
      11 March 2019

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