| 楔形杆轴纵、扭固有振动的修正摄动解 |
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| 引用本文： | 李敏,李嘉.楔形杆轴纵、扭固有振动的修正摄动解[J].振动与冲击,2001,20(3):42-43,57. |
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| 作者姓名： | 李敏 李嘉 |
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| 作者单位： | 常德师范学院常德 415000 益阳市电教馆益阳 413000 |
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| 摘 要： | 将含大参数的二阶线性方程的修正摄动解应用于楔型杆轴的固有纵振和扭振的研究，得到了其作固有纵振、扭振时的修正摄动解。并通过实例计算，比较了这种方法得出的解与Bessel方法一级近似解之间的误差。可以证明该修正摄动解具有相当高的精度。
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| 关 键 词： | 楔形杆轴 固有振动 修正摄动解 固有纵振 扭振 二阶线性齐次方程 频率 |
The Corrected Perturbation Solution of Longitudinal and Twist Natural Vibration of Tapered Axes |
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| Li Min.The Corrected Perturbation Solution of Longitudinal and Twist Natural Vibration of Tapered Axes[J].Journal of Vibration and Shock,2001,20(3):42-43,57. |
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| Authors: | Li Min |
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| Abstract: | The application of the corrected perturbation solution of second order linear homogeneous equation with big parameters to study the longitudinal and twist natural vibrations of tapered axes is discussed.The error between the solutions of this method and Bessel's method is derived through numerical examples.Actual caculation indicates that the corrected perturbation solution is exact and simple. |
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| Keywords: | tapered axes natural vibration asymptotic solution corrected perturbation solution |
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