| 带中间弹性支承拉索的横向振动频率解析算法 |
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| 引用本文： | 李平杰,王荣辉,马牛静.带中间弹性支承拉索的横向振动频率解析算法[J].华南理工大学学报(自然科学版),2012,40(2):7-12,18. |
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| 作者姓名： | 李平杰 王荣辉 马牛静 |
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| 作者单位： | 华南理工大学土木与交通学院,广东广州,510060 |
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| 基金项目： | 国家自然科学基金资助项目(50978105);广东省自然科学基金资助项目(200902021) |
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| 摘 要： | 将弹性支承反力看作是作用于梁上的强迫力,并综合考虑拉索的轴向力、抗弯刚度、端部边界条件等振动影响因素,构造出了带有中间弹性支承及轴向力的梁模型,由此推导出了带有中间弹性支承的拉索的横向振动频率解析算法.通过试验测试拉索在不同轴向力下的频率,并与解析算法的计算值进行对比,结果表明两者偏差较小,最大偏差只有1.6%,说明所提出的解析算法是可靠的.
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| 关 键 词： | 拉索 横向振动 解析法 弹性支承 频率 轴向力 |
Analytical Algorithm of Transverse Vibration Frequency of Cables with Intermediate Flexible Supports |
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| Li Ping-jie
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Wang Rong-hui
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Ma Niu-jing.Analytical Algorithm of Transverse Vibration Frequency of Cables with Intermediate Flexible Supports[J].Journal of South China University of Technology(Natural Science Edition),2012,40(2):7-12,18. |
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| Authors: | Li Ping-jie Wang Rong-hui Ma Niu-jing |
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| Institution: | Li Ping-jie Wang Rong-hui Ma Niu-jing(School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510640,Guangdong,China) |
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| Abstract: | In this paper,a beam model with intermediate flexible supports under axial force is established by taking the elastic support reaction as a compelling force loading on the beam and by comprehensively taking into consideration the vibration factors of cables such as the axial force,the bending stiffness and the boundary condition of the ends.Based on the model,an analytical algorithm is proposed to calculate the transverse vibration frequency of the cables with intermediate flexible supports.The analytical results are then compared with the test ones under diffe-rent axial forces.It is found that only a small deviation with a maximum of 1.6% is observed,which means that the proposed algorithm is feasible. |
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| Keywords: | cable transverse vibration analytic method elastic support frequency axial force |
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