| 轴向运动梁的横向振动分析 |
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| 引用本文： | 田耀宗,蹇开林.轴向运动梁的横向振动分析[J].应用数学和力学,2019,40(10):1081-1088. |
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| 作者姓名： | 田耀宗 蹇开林 |
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| 作者单位： | 重庆大学 航空航天学院, 重庆 400044 |
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| 摘 要： | 论述了轴向运动梁横向振动问题以及研究轴向运动梁横向振动问题的方法，指出对轴向运动梁横向振动问题研究中存在的一些错误并进行了更正.针对一端可看作固定边界条件的轴向运动悬臂梁，基于连续体的模态叠加法，推导出含自重效应的轴向运动梁动力响应的计算公式，进行实例计算，并对计算结果进行了详细的讨论，得出影响轴向运动梁振动响应的因素主要有速度和运动方向.
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| 关 键 词： | 悬臂梁 轴向运动 响应 失稳 |
| 收稿时间： | 2019-03-01 |
Lateral Vibration Analysis of Axially Moving Beams |
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| Affiliation: | College of Aerospace, Chongqing University, Chongqing 400044, P.R.China |
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| Abstract: | The problem of lateral vibration of axially moving beams and the method for studying lateral vibration of axially moving beams were discussed. Some errors in the previous research of lateral vibration of axially moving beams were pointed out and corrected. For the axially moving cantilever beam with one end in fixed boundary condition, the calculation formula for the dynamic responses of the beam with self-weight effects was derived based on the modal superposition method for the continuum. The calculation was carried out and the calculation results were discussed in detail. The results show that, the factors that influence the vibration responses of the axially moving beam mainly include the speed and the direction of motion. |
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