| 非均匀杆纵向自由振动的高频渐近性质 |
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| 引用本文： | 徐鉴,王林祥. 非均匀杆纵向自由振动的高频渐近性质[J]. 兰州理工大学学报, 1989, 0(4) |
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| 作者姓名： | 徐鉴 王林祥 |
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| 作者单位： | 甘肃工业大学基础课教学研究部(徐鉴)，甘肃工业大学基础课教学研究部(王林祥) |
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| 摘 要： | 本文将非均匀杆纵向自由振动的特征值微分方程化为积分方程。通过对积分项的估计,分析了一般边界条件下非均匀杆纵向自由振动的高频渐近性质,给出了高阶时特征值问题的渐近解。
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| 关 键 词： | 非均匀杆 特征值 高频 |
The High Frequency Asymptotic Characteristics of Axial Free Vibrations of Non-uniform Bars |
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| Xu Jian,Wang Linxiang. The High Frequency Asymptotic Characteristics of Axial Free Vibrations of Non-uniform Bars[J]. Journal of Lanzhou University of Technology, 1989, 0(4) |
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| Authors: | Xu Jian Wang Linxiang |
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| Affiliation: | Department of Basic Courses Teaching |
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| Abstract: | In this paper, the differential equation of the eigenvalue problem derived from axial free vibrations of non-uniform bars is converted into an integral equation. By estimating the integral term, the high frequency asymptotic characteristics of free vibrations of non-uniform bars are explored under the general boundary conditions, and an asymptotic solution to the eigenvalue problem is derived for high frequencies. |
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| Keywords: | non-uniform bar eigenvalue high frequency |
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