| 考虑弹簧质量的振子精确解 |
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| 引用本文： | 王锋,唐国金.考虑弹簧质量的振子精确解[J].物理与工程,2003,13(2):28-30. |
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| 作者姓名： | 王锋 唐国金 |
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| 作者单位： | 国防科技大学航天与材料工程学院,湖南,长沙,410073 |
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| 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，而其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，因此近似解具有相当的精度．
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| 关 键 词： | 弹簧振子系统 质量 精确解 频率 线性模式 位移模式 正弦曲线 |
THE EXACT SOLUTION OF AN OSCILLATOR WITH NONZERO SPRING MASS |
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| Wang Feng,Tang Guojin.THE EXACT SOLUTION OF AN OSCILLATOR WITH NONZERO SPRING MASS[J].Physics and Engineering,2003,13(2):28-30. |
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| Authors: | Wang Feng Tang Guojin |
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| Abstract: | 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. |
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| Keywords: | spring oscillator displacement mode |
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