摘要
本文给出了匀质椭圆柱体在平面上作无滑动的微幅摆动之固有频率的两种近似计算方法,得到两个固有频率的计算公式。计算结果与实验所得数据吻合良好。其中第二法引入曲率圆的想法,可用以计算具复杂轮廓的匀质柱体在平面上作微幅摆动的固有频率,方法简单。
This paper gives two Kinds of approximate methods used to calculate a homogeneous elliptic column oscillating slightly on a horizontal ptane without slide; and obtains two formulas for calculation of the natural frequency. The results of computation are well consistent with the data of experiments.The second method,introducing a idea of curvature circle, can be used to calculate natural frequency of any a homogeneous column with a complicated section oscillting slightly on a plane.
关键词
椭圆柱
摆动
平面运动
固有频率
elliptic column, oscillation, planar motion, natural frequency
