On rotational solutions for elliptically excited pendulum

Details On rotational solutions for elliptically excited pendulum On rotational solutions for elliptically excited pendulum

2010-12-30

arxiv.org/abs/1101.0062v1

Physics

Mathematical Physics

16 pages, 5 figures, 1 table

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On rotational solutions for elliptically excited pendulum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On rotational solutions for elliptically excited pendulum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On rotational solutions for elliptically excited pendulum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-400717