| 旋转Rayleigh梁动力学性能的研究 |
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| 引用本文： | 钱新,杜星文.旋转Rayleigh梁动力学性能的研究[J].力学学报,2011,43(3):635-640. |
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| 作者姓名： | 钱新 杜星文 |
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| 作者单位： | 哈尔滨工业大学复合材料与结构研究所 |
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| 摘 要： | 采用广义Hamilton原理推导了旋转Rayleigh梁在重力作用下的运动方程, 研究了简支-简支边界条件下旋转Rayleigh梁的动态特性, 指出并证明文献中所推导的运动方程缺失了一个由离心力引起的陀螺效应项. 理论分析和数值模拟了激励频率、陀螺效应、转动惯量、长细比对涡动频率、临界速度和模态振型的影响. 结果表明, 正向涡动频率随着激励频率的增加先增加后减小, 而反向涡动频率则随着激励频率的增加一直减小; 旋转Rayleigh梁有着无限多阶正向和反向临界速度; 正向涡动频率总是大于同阶的反向涡动频率.
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| 关 键 词： | 陀螺效应 |
| 收稿时间： | 2009-11-26 |
| 修稿时间： | 2010-09-20 |
DYNAMIC CHARACTERISTICS OF SPINNING RAYLEIGH BEAMS |
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| Qian Xin
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Du Xingwen.DYNAMIC CHARACTERISTICS OF SPINNING RAYLEIGH BEAMS[J].chinese journal of theoretical and applied mechanics,2011,43(3):635-640. |
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| Authors: | Qian Xin Du Xingwen |
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| Institution: | Center for Composite Materials, Harbin Institute of Technology, Harbin 150080, China |
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| Abstract: | This paper derives the motion equations of the spinning Rayleigh beam under gravitation using the extended Hamilton principle and investigates the dynamic characteristics of spinning Rayleigh beam under a hinged-hinged boundary condition.The present equations show that an important gyroscopic term induced by centrifugal force is missing in similar equations in the literature,but this term is indispensable in the modeling and analysis of spinning beams.The influences of rotary inertia,spinning speed,gyroscop... |
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| Keywords: | spinning Rayleigh beams whirling speeds critical speeds gyroscopic effects |
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