Small vibrations of a rigid disk inside a rigid shell in the shape of an elliptical cylinder were also considered. The equations of motion for the small natural vibrations of these systems were determined, and the angular frequencies and vibration periods were defined. To derive the equations, the mechanical energy conservation method was used, as it is the most effective and rapid approach for such tasks. Finally, the study discusses the motion of an elliptical cylinder on an inclined plane.
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Source: Logistyka Magazine
Natural vibrations of a rigid elliptical cylinder – PDF file for download