| 弹簧振子近似作简谐振动的条件 |
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| 引用本文： | 徐延燕. 弹簧振子近似作简谐振动的条件[J]. 河北师范大学学报(自然科学版), 1997, 0(1) |
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| 作者姓名： | 徐延燕 |
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| 作者单位： | 河北大学物理系 |
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| 摘 要： | 对弹簧振子系统运动的波动方程求解过程中出现的本征值方程，利用余切函数的幂级数展开式，运用迭代法求得其近似解表达式．由此导出将弹簧影响仅归于质量方面的有效质量表示式，并由系统的本征振动谱分析和误差分析得出了弹簧振子近似作简谐振动的条件及相应的误差
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| 关 键 词： | 弹簧振子；简谐振动；本征值方程的近似解；迭代法；有效质量；误差 |
The Condition of Appraximately Regarding Spring-Particle System as Harmonic Oscillator |
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| Xu Yanyan. The Condition of Appraximately Regarding Spring-Particle System as Harmonic Oscillator[J]. Journal of Hebei Normal University, 1997, 0(1) |
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| Authors: | Xu Yanyan |
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| Abstract: | The expression of approxinmate solution of the eigenvalue equation separated from the wave equation of the spring-particle system is obtained by using the iteration and the power series expansion of the cotangent function.From the approximate solution the expression of the effcetive mass of the spring is reduced.The condition of approximately regarding the system's motion as simple harmonic viberation and the error are obtained by analysing the eigen viberation spectrum and the error. |
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| Keywords: | spring viberator simple harmonic viberation approximate solution of the eigenvalue equation iteration effective mass error |
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