| 悬臂Rayleigh梁横向振动固有频率 |
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| 引用本文： | 唐安烨,王子国. 悬臂Rayleigh梁横向振动固有频率[J]. 吉首大学学报(自然科学版), 2017, 38(2): 21-26. DOI: 10.3969/j.cnki.jdxb.2017.02.005 |
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| 作者姓名： | 唐安烨 王子国 |
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| 作者单位： | （吉首大学城乡资源与规划学院，湖南 张家界 427000） |
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| 基金项目： | 吉首大学校级科研项目（15JD008） |
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| 摘 要： | 在Euler-Bernoulli梁基础上考虑转动惯量，研究悬臂梁的横向振动问题.采用广泛适用的积分方程方法求解该问题，求出悬臂梁自由振动特征方程的近似解，获得悬臂梁振动固有频率的数值解答.积分方程方法与应力函数法、瑞兹法所得数值结果进行对比，表明了该方法的有效性.
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| 关 键 词： | 悬臂Rayleigh梁 横向振动 固有频率 积分方程 |
Natural Frequencies of Transverse Vibration of Cantilever Rayleigh Beams |
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| TANG Anye,WANG Ziguo. Natural Frequencies of Transverse Vibration of Cantilever Rayleigh Beams[J]. Journal of Jishou University(Natural Science Edition), 2017, 38(2): 21-26. DOI: 10.3969/j.cnki.jdxb.2017.02.005 |
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| Authors: | TANG Anye WANG Ziguo |
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| Affiliation: | (College of Resources and Planning Sciences,Jishou University,Zhangjiajie 427000,Hunan China) |
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| Abstract: | Considering the rotary inertia based on the Euler-Bernoulli beams,the transverse vibration of a cantilever beam is studied.The widely applicable integral equation method is employed to obtain the approximate solutions of characteristic equation and then the natural frequencies of a cantilever beam.Comparison of the numerical solutions obtained through integral equation method,stress function method,and ritz method shows the effectiveness of the integral equation method. |
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| Keywords: | cantilever Rayleigh beam transverse vibration natural frequency integral equation |
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