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Analytical approach to vibration analysis of a pendulum wrapping on a cylinder

Mazaheri, H ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2011-62856
  3. Abstract:
  4. In this paper, nonlinear oscillation of a pendulum wrapping and unwrapping around two cylindrical bases is studied and an analytical solution is obtained using multiple scales method. Equations of motion are derived based on energy conservation technique. Applying perturbation method on the equations, nonlinear natural frequency of the system is calculated along with its time response. Analytical results are compared with numerical findings and good agreement is found. Effect of nonlinearity due to large amplitude and radius of cylinders on the system frequency is evaluated. Results indicate that as the radius of cylinder is increased, nonlinear frequency is enhanced. Initial amplitude plays a dual role on the frequency. As initial amplitude increases up to a certain point, frequency increases and decreases after wards
  5. Keywords:
  6. Analytical approach ; Analytical results ; Dual role ; Large amplitude ; Multiple scales methods ; Nonlinear frequency ; Nonlinear oscillation ; Perturbation method ; System frequency ; Cylinders (shapes) ; Equations of motion ; Exhibitions ; Intelligent mechatronics ; Mechanical engineering ; Pendulums ; Vibration analysis ; Nonlinear equations
  7. Source: ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011, 11 November 2011 through 17 November 2011 ; Volume 7, Issue PARTS A AND B , November , 2011 , Pages 761-765 ; 9780791854938 (ISBN)
  8. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1644493