• Record: found
  • Abstract: found
  • Article: found
Is Open Access

On rotational solutions for elliptically excited pendulum


Read this article at

      There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.


      The author considers the planar rotational motion of the mathematical pendulum with its pivot oscillating both vertically and horizontally, so the trajectory of the pivot is an ellipse close to a circle. The analysis is based on the exact rotational solutions in the case of circular pivot trajectory and zero gravity. The conditions for existence and stability of such solutions are derived. Assuming that the amplitudes of excitations are not small while the pivot trajectory has small ellipticity the approximate solutions are found both for high and small linear damping. Comparison between approximate and numerical solutions is made for different values of the damping parameter.

      Related collections

      Most cited references 2

      • Record: found
      • Abstract: not found
      • Article: not found

      A generalized perturbed pendulum

        • Record: found
        • Abstract: not found
        • Article: not found

        Non-trivial effects of high-frequency excitation for strongly damped mechanical systems


          Author and article information

          30 December 2010
          1101.0062 10.1016/j.physleta.2011.05.021

          Custom metadata
          34D35, 34D20, 34D05, 34E13, 34E05
          16 pages, 5 figures, 1 table
          math-ph math.MP physics.class-ph


          Comment on this article