用微元法推导无阻尼单摆运动任意角度下的周期公式

Period Formula Derivation of Undamped Pendulum Motion under Arbitrary Angle with Differential Element Method

对单摆运动进行了讨论。通过对单摆进行能量分析,得出了单摆角频率与角度的关系式,然后运用微元法,推导出了单摆的理论周期公式。计算结果表明,所得到的单摆运动周期的理论公式与展开公式符合得很好。

The simple pendulum motion is discussed. The relation between angle frequency and angle of the pendulum is given through the energy analysis of the pendulum,and the theoretical period formula of simple pendulum is derived using the differential method. The calculation results show that the theoretical formula of the period of simple pendulum movement and Taylor expansion formula are in good agreement.