多源拍振分析方法与试验  

Analysis and Experiment on Multi-source Beat Vibration

作　　者：陈茉莉[1] 李舜酩[1] 温卫东[1] 刘建娅[1] 杜建建[1] 

机构地区：[1]南京航空航天大学能源与动力学院,南京210016

出　　处：《振动．测试与诊断》2011年第2期202-206,267,共5页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(编号:50675099);南京航空航天大学青年科研基金资助项目(编号:70815-023)

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。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 extending 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-string-area figures were sensitive to the minor frequency difference.The beat experiment of plane blade was carried out.The theoretical results of the upper and lower amplitude limits and fundamental frequency agree well with the experimental results.The multi-dimensional figure method is effective on real-time observation and analysis of the little frequency difference vibration.

关 键 词：拍振 激励 叶片 LISSAJOUS图形 扭线面图形 

分 类 号：O329[理学—一般力学与力学基础] TN911.6[理学—力学]