| 热状态下的弹性杆纵扭固有振动的摄动解 |
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| 引用本文： | 林志杰,吴晓.热状态下的弹性杆纵扭固有振动的摄动解[J].湖南文理学院学报(自然科学版),2000,12(3):34-35. |
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| 作者姓名： | 林志杰 吴晓 |
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| 作者单位： | 常德师范学校!湖南常德415000(林志杰)，常德师范学院土木建筑工程系!湖南常德415000(吴晓) |
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| 摘 要： | 利用含有大参数二阶线性齐次方程的一级摄动解 ,研究了热状态下弹性杆的纵扭固有振动 ,并推导出了计算热状态下弹性杆纵扭固有振动频率的特征方程。通过实例计算验证了该摄动解不但计算简便而且精度很高。
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| 关 键 词： | 热状态 弹性杆 固有振动 摄动解 |
A PERTURBATION SOLUTION TO LONGITUDINAL TWISTED NATURAL VIBRATION OF ELASTIC BAR IN THERMAL STATE |
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| LIN Zi-jie,WU Xiao.A PERTURBATION SOLUTION TO LONGITUDINAL TWISTED NATURAL VIBRATION OF ELASTIC BAR IN THERMAL STATE[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2000,12(3):34-35. |
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| Authors: | LIN Zi-jie WU Xiao |
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| Institution: | LIN Zi-jie WU Xiao 1 |
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| Abstract: | The longitudinal twisted natural vibration of elastic bar under thermal state is studied by using first order perturbation solution to second order linear homogeneous equation with big parameter,and the characteristic equation of its vibration frequency is derivated.Actual caculation indicates that the perturbation solution is exact and simple. |
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| Keywords: | thermal state elastic bar natural vibration perturbation solution |
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