| 旋转圆环动态特性的行波解 |
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| 引用本文： | 唐亮,黄迪山,朱晓锦.旋转圆环动态特性的行波解[J].应用力学学报,2011,28(3):259-265. |
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| 作者姓名： | 唐亮 黄迪山 朱晓锦 |
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| 作者单位： | 上海大学,200072上海 |
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| 基金项目： | 国家自然科学基金(90716027) |
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| 摘 要： | 基于固体弹性介质中的行波理论,对旋转圆环的固有频率进行了计算.以扩张弯曲梁微元体的运动方程为基础,分析了运动条件下该波导中行波的色散关系.通过分离正行波数和负行波数,解决了行波法计算旋转圆环的固有频率问题.同时给出了波数分离的判断依据,并结合简谐波动的相位封闭原理和传递矩阵建立了旋转圆环的特征方程.数值模拟研究了旋转体...
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| 关 键 词： | 行波法 旋转圆环 固有频率 振动模态 |
A traveling wave approach for dynamic characters of rotating circular rings |
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| Tang Liang Huang Dishan Zhu Xiaojin.A traveling wave approach for dynamic characters of rotating circular rings[J].Chinese Journal of Applied Mechanics,2011,28(3):259-265. |
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| Authors: | Tang Liang Huang Dishan Zhu Xiaojin |
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| Institution: | Tang Liang Huang Dishan Zhu Xiaojin(Shanghai University,200072,Shanghai,China) |
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| Abstract: | Based on the traveling wave theory in solid medium,the fundamental frequency of a rotating circular ring is calculated.According to a governing equation of motion with effects of extensional neutral axis,dispersion relations of the traveling wave in the waveguide for the motion conditions are analyzed.After the separation of the positive traveling wave number and the negative traveling wave number,the fundamental frequency problem for the rotating circular rings can be calculated by means of the traveling w... |
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| Keywords: | traveling wave approach rotating circular ring fundamental frequency vibration modes |
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