1. Motion of the sprung pendulum
- Author
-
M. G. Rusbridge
- Subjects
Physics ,Nonlinear system ,Coupling (physics) ,Classical mechanics ,Amplitude ,Horizontal and vertical ,Double pendulum ,Pendulum ,General Physics and Astronomy ,Motion (geometry) ,Nonlinear coupling - Abstract
We extend the analysis of the motion of the sprung pendulum to show the full effects of the nonlinear coupling between horizontal and vertical oscillations. We show that even at modest amplitudes a theory involving second‐order terms only is inadequate to explain experimental results, and suggest that the discrepancy is due to nonlinear detuning from the exact resonance condition, an effect which appears only in higher order. Finally, we investigate the effect of damping on the patterns of motion.
- Published
- 1980
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