x3振荡器的周期的近似计算

An approximate calculation of the period of an x3 oscillator

摘要: 应用牛顿第二定律得到 x3振荡器的运动学方程及其振荡器的周期公式 ;应用数学推导的方法证明 x3振荡器的周期与振幅成反比 ;并借助第一类全椭圆积分在 ρ2→ 1时的近似展开公式及椭圆积分的模数变换得到周期公式中的无量纲常量的近似计算 ,提供的计算公式的近似程度极高 .

Abstract: An approximate calculation formula of the period of an x 3 oscillator is given by using Newton's law of universal,the expansion formula of elliptic integral of first kind and thc modulus transform of elliptic integral of first kind.It is proved that the period inversely proportienal to the amplitude.