多源拍振分析方法与试验
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    摘要:

    首先采用多维图形法对拍振的小频差问题进行了仿真分析和试验,将传统的二拍振动理论扩 展到多源拍振,获得了拍振的上下限幅值和基频,通过仿真试验验证了理论解的正确性;然后 提出了观测小频差现象的多维图形法,绘制了二拍的Lissajous图形和三拍的扭线面图形,对不同频差得到的拍图进行了分析。分析发现,Lissajous图形和扭线面图形对微小频差十分 敏感;最后开展了平板叶片的拍振试验。试验表明,通过多源拍振理论获得的拍振上下限幅值和基频的正确性,证实了多维图形法在实时观测和分析小频差振动现象时的有效性。

    Abstract:

    The little frequency difference of beat vibration was analyzed. By using multi-dimensional figure method, its experiment was conducted. The upper and lower amplitude limits, and the fundamental frequency were derived by extend i ng the traditional two-beat theory to multi-beat theory. The theoretical results were verified by the simulation analysis. A multi-dimensional figure method was presented, and the two-beat Lissajous figure and threebeat torsion-string-area figure were derived and analyzed. It was found that the Lissajous and torsion-st ring-area figures were sensitive to the minor frequency difference. The beat exp er iment of plane blade was carried out. The theoretical results of the upper and l ower amplitude limits and fundamental frequency agree well with the experimenta l results. The multi-dimensional figure method is effective on real-time obse rvation and analysis of the little frequency difference vibration.

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