| 变截面直杆纵向自由振动的一种解法 |
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| 引用本文： | 袁镒吾 李志坚. 变截面直杆纵向自由振动的一种解法[J]. 工程力学, 1996, 13(3): 105-113 |
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| 作者姓名： | 袁镒吾 李志坚 |
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| 作者单位： | 中南工业大学(袁镒吾)，广东珠海市建筑安装集团(李志坚) |
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| 摘 要： | 本文根据均质变截面直杆的纵振与等截面直梁的弯曲问题的一些相似性质,把求变截面直杆纵振函数变为求梁弯曲时的截面上的弯矩问题。对应于杆的横截面面积的某些变化规律,得到了求杆的纵振函数及固有频率的计算公式。
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| 关 键 词： | 杆 变截面 纵向振动 梁的弯曲 |
A METHOD FOR SOLVING THE PROBLEM OF LONGITUDINAL FREE VIBRATION OF A BAR WITH VARIABLE CROSS SECTION |
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| Yuan Yiwu Li Zhijian. A METHOD FOR SOLVING THE PROBLEM OF LONGITUDINAL FREE VIBRATION OF A BAR WITH VARIABLE CROSS SECTION[J]. Engineering Mechanics, 1996, 13(3): 105-113 |
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| Authors: | Yuan Yiwu Li Zhijian |
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| Affiliation: | Yuan Yiwu Li Zhijian(Central South university of Technolosy) (Chu Hai group of Building and Installation) |
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| Abstract: | In this paper, using the similarity between the longitudinal free vibration of a bar with variable cross section and the beam bending the longitudinal vibration function is obtained from the moment on the cross section of the bending beam. For some specified variation of cross section area of the bar, the formulae for calculating the frequency of the longitu-dinal vibration of the bar are proposed. |
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| Keywords: | bar variable cross section longitudinal vibration bendmg of beam |
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