[PDF] The jump effect of a general eccentric cylinder rolling on a ramp-论文阅读讨论-ReadPaper

摘要

Interesting phenomena happen when an eccentric rigid body is rolling on aninclined or horizontal plane. For example, a variety of motions between rollingand sliding is exhibited until suddenly a jump occurs. We provide a detailedtheoretical description of the last effect for a general eccentric cylinder.Before the jump, when the cylinder moves along the ramp, we could assume a purerolling motion, however it turns out that when the cylinder is reaching itsjump position, both the normal and static frictional forces approach zero.Thus, it seems that there will no longer be sufficient force to maintainrolling without slip. In order to have a jump without slipping, we prove thatthe parameters that characterize the dynamic behavior of the cylinder mustbelong to some restricted region.

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