均质圆柱体在非固定半圆形柱面内的振动周期

The period of vibration of a homogeneous cylinder in a non-fixed inner semicylindrical surface

用动力学方法,建立了均质圆柱体与非固定半圆形柱面组成系统的运动微分方程,分析了圆柱体在柱面内无滑滚动的临界角,求出了圆柱体大角度振动周期的精确公式和近似公式.

The differential equations of the system formed by a homogeneous cylinder and a non-fixed inner semicylindrical surface arc derived. According to these differential equations, the critical angle of roiling without slippage of the cylinder is analyzed, and the exact and approximate expressions of the period of vibration in the case of large-angle vibration are derived.