| 非均质变截面杆纵扭振动渐近解 |
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| 引用本文： | 张龙庭,吴晓.非均质变截面杆纵扭振动渐近解[J].甘肃科学学报,2001,13(2):15-18. |
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| 作者姓名： | 张龙庭 吴晓 |
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| 作者单位： | 常德师范学院机械工程系, |
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| 摘 要： | 把含有小参数的变系数二阶线性齐次方程转化为含有大参数的变系数二阶线性齐次方程，然后求出含有大参数的变系数二次线性齐次方程的一次渐近期，利用此渐近解即可求出非均质变截面弹性杆国固有振动率的高精度渐近解。
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| 关 键 词： | 非均质 变截面 固有振动 渐近解 弹性杆 振动频率 纵扭振动 变系数二阶微分方程 |
| 文章编号： | 1004-0366(2001)02-0015-04 |
| 修稿时间： | 2000年8月21日 |
AN ASYMPTOTIC SOLUTION OF LONGITUDINALLY TWISTED NATURALVIBRATION OF ELASTIC NON-UNIFORM BAR WITH VARIOUS SECTIONS |
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| ZHANG Long-ting,WU Xiao.AN ASYMPTOTIC SOLUTION OF LONGITUDINALLY TWISTED NATURALVIBRATION OF ELASTIC NON-UNIFORM BAR WITH VARIOUS SECTIONS[J].Journal of Gansu Sciences,2001,13(2):15-18. |
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| Authors: | ZHANG Long-ting WU Xiao |
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| Abstract: | The first- order asymptotic solution of the second- order linear homogenous equation with big parameters and coefficients of variation is obtained by converting the small parameter to the big parameter. An exact asymptotic solution of longitudinally twisted natural vibration frequency of an elastic non- uniform bar with various sections is derived by using the above asymptotic solution. |
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| Keywords: | non- uniform various section natural vibration asymptotic solution |
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