摘要
给出了考虑弹簧质量时弹簧振子系统频率的精确解 ,指出了近似解的实质是假设弹簧的位移模式为线性模式 ,而真实解的位移模式为正弦曲线 ;算例的结果显示 ,通常情况下 ,精确解的一阶位移模式与线性模式非常接近 。
In this paper,the exact solution of the mass spring oscillator is obtained with considering the mass of the spring. This solution shows that the displacement mode of the spring is sinusoidal. The approximate solution of this oscillator with nonzero spring mass has been accomplished based on the assumption of linear displacement mode. The results demonstrated that the approximate solution is exact enough even when the spring mass is half of the lumped mass, and the reason is analysised.
出处
《物理与工程》
2003年第2期28-30,共3页
Physics and Engineering
