As an approximate method, with the trigonometric function, the simple pendulum dynamical equation is simplified, and the approximate formula for the period of simple pendulum movement is presented.
利用三角函数作为一种近似方法，对单摆的动力学方程进行了简化，给出了大角度条件下单摆运动的周期的近似公式。
A variable length simple pendulum model is introduced, elementary analysis and perturbation analytic solution of nonlinear differential equation for parametric resonance are presented.
采用可变长度单摆的力学模型对秋千振荡给出初等分析，采用微扰近似法导出了秋千的非线性参数共振解析解， 并进行了讨论。
Studying the equation of motion of damped simple pendulum, the shock wave solution is found.
研究和分析有阻尼单摆的运动方程，应用近似法方程时发现存在冲击波解并精确求解。
Studying the equation of motion of damped simple pendulum, the shock wave solution is found.
研究和分析有阻尼单摆的运动方程，应用近似法方程时发现存在冲击波解并精确求解。
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