| 变截面粘弹性旋转梁非线性参数振动研究 |
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| 引用本文： | 张云飞,杨鄂川,李映辉.变截面粘弹性旋转梁非线性参数振动研究[J].动力学与控制学报,2018,16(5):418-423. |
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| 作者姓名： | 张云飞 杨鄂川 李映辉 |
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| 作者单位： | 西南交通大学力学与工程学院;重庆理工大学机械工程学院 |
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| 摘 要： | 研究了变截面粘弹性旋转梁的非线性参数振动.基于Kelvin-Voigt粘弹性本构关系,考虑几何非线性建立了变截面粘弹性旋转梁的非线性振动方程,用Galerkin法将其转化为常微分方程.运用多重尺度法得到其幅频响应.用数值方法讨论了转速和轮毂半径对梁固有频率和幅频响应的影响.研究表明:不稳定域随轮毂半径、转速的增大而增大,随锥度的增大而减小.
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| 关 键 词： | 变截面梁 参数振动 多重尺度法 非线性 幅频响应 |
| 收稿时间： | 2017/4/19 0:00:00 |
| 修稿时间： | 2017/7/28 0:00:00 |
Studies on nonlinear parametric vibration of a rotating viscoelastic beam with variable cross-sections |
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| Zhang Yunfei,Yang echuan and Li Yinghui.Studies on nonlinear parametric vibration of a rotating viscoelastic beam with variable cross-sections[J].Journal of Dynamics and Control,2018,16(5):418-423. |
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| Authors: | Zhang Yunfei Yang echuan and Li Yinghui |
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| Affiliation: | 1.School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu610031;2.School of Mechanical Engineering, Chongqing University of Technology, Chongqing400054; |
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| Abstract: | Nonlinear parametric vibration of a rotating viscoelastic beam with variable cross-section is studied. Nonlinear governing equation of the rotating viscoelastic beam with variable cross-section involving geometric nonlinearity is established based on Kelvin-Voigt constitutive relation. The governing equation is then transformed into an ordinary differential equation by using Galerkin method. Amplitude-frequency response is obtained by adopting the method of multiple scale. Finally, the influences of rotating velocityand radius of the hub on nature frequency and amplitude-frequency response are numerically discussed. It is shown that the unstable region increases with the increasing rotating velocity and radius of hub, but decreases with the increasing taper of the beam. |
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| Keywords: | variable cross-section beam parametric vibration multiple scale method nonlinear amplitude-frequency response |
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