| 轴向运动Timoshenko梁固有频率的求解方法研究 |
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| 引用本文： | 杨晓东,唐有绮,戈新生.轴向运动Timoshenko梁固有频率的求解方法研究[J].机械强度,2009,31(2). |
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| 作者姓名： | 杨晓东 唐有绮 戈新生 |
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| 作者单位： | 1. 沈阳航空工业学院,航空宇航工程学院,沈阳,110136
2. 北京机械工业学院,机械工程学院,北京,100085 |
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| 基金项目： | 国家自然科学基金，北京市自然科学基金 |
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| 摘 要： | 研究两端铰支边界条件下Timoshenko模型轴向运动梁的横向振动问题,分别利用复模态分析方法和Galerkin方法求解系统的固有频率;讨论轴向运动梁前两阶固有频率随轴向运动速度的变化情况;最后给出数值算例,分析复模态分析方法、二阶Galerkin截断和四阶Galerkin截断方法对固有频率结果精确度的影响.
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| 关 键 词： | Timoshenko模型轴向运动梁 固有频率 复模态分析方法 Galerkin方法 |
NATURAL FREQUENCY ANALYSIS OF AXIALLY MOVING,SIMPLY SUPPORTED TIMOSHENKO BEAM |
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| YANG XiaoDong,TANG YouQi,GE XinSheng.NATURAL FREQUENCY ANALYSIS OF AXIALLY MOVING,SIMPLY SUPPORTED TIMOSHENKO BEAM[J].Journal of Mechanical Strength,2009,31(2). |
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| Authors: | YANG XiaoDong TANG YouQi GE XinSheng |
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| Affiliation: | 1.Department of Engineering Mechanics;Shenyang Institute of Aeronautical Engineerin;Shenyang 110136;China;2.Department of Mechanical Engineering;Beijing Institute of Mechinary;Beijing 100085;China |
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| Abstract: | The complex mode method and Galerkin truncation method are used respectively in the calculation of natural frequencies of a simply supported Timoshenko beam under axially moving conditions.The first two natural frequencies of the beam are studied for different axially moving speed.The numerical results obtained respectively by the complex mode method and the Galerkin method via the second order truncation and the forth order truncation,are compared and discussed. |
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| Keywords: | Axially moving beam Natural frequency Timoshenko beam model |
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