Influence of Axial Loads to Propagation Characteristics of the Elastic Wave in a Non-Uniform Shaft

Influence of Axial Loads to Propagation Characteristics of the Elastic Wave in a Non-Uniform Shaft
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轴向载荷对非均匀轴中弹性波传播特性的影响

DOI:
10.1186/s10033-019-0385-z
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发表时间:
2019-09
影响因子:
4.2
通讯作者:
Qi Liu
Qi Liu
中科院分区:
工程技术3区
文献类型:
--
作者:
Yimin Wei;Zhiwei Zhao;Wenhua Chen;Qi Liu

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振动以弹性波的形式通过轴传播。弹性波的传播特性受轴向载荷的影响。本文研究了轴向载荷对弹性波传播特性的影响。首先,将无轴向载荷时的弹性波传递矩阵与轴向载荷引起的附加方程相结合,推导出轴向载荷作用下非均匀轴弹性波的传递矩阵。在此基础上,采用数值方法研究了轴向载荷、非均匀性和转速对弹性波传播特性的影响。研究发现,轴向力的作用会导致一个新的阻带出现,随着轴向力的增加,阻带的中心频率降低,而阻带的带宽保持不变。新阻带的中心频率也会随着截面积比的增大而增大,而轴的转速对弹性波的传播特性影响不明显。最后搭建了实验台进行进一步的研究,虽然存在一些小的局部误差,但实验结果与数值计算结果吻合较好,表明理论结果是有效的。研究结果有助于研究轴向载荷对非均匀轴动力学特性的影响,揭示非均匀轴振动的传播机理。
The vibration propagates through the shaft in the form of elastic waves. The propagation characteristics of the elastic waves are affected by the axial loads. The influence of the axial loads to the propagation characteristics of the elastic waves is studied in this paper. Firstly, the transfer matrix of the elastic waves for the non-uniform shaft with axial loads is deduced by combining the transfer matrix without axial load and the additional equation caused by the axial load. And then, a numerical method is used to study the influence of the axial load, non-uniformity and the rotating speed to the propagation characteristics of the elastic waves. It’s found that a new Stop Band will appear due to the axial force, and the central frequency of which will decrease as the increase of the force, while the band width of which remains the same. The central frequency of the new Stop Band will also increase as the increase of the cross-section area ratio; however, the rotating speed of the shaft doesn’t affect the propagation characteristics of the elastic waves obviously. Finally, an experimental rig is built up for further study, even though there are some small local errors, the results of experiments match well with the numerical ones, which indicates the validation of the theoretical results. The result can help to study the influence of the axial load to the dynamics of a non-uniform shaft and help to reveal the vibration propagating mechanism in such a shaft.
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