二级齿轮系统非线性振动研究

打开文本图片集

中图分类号：TH113.1；TH132.41 文献标志码：B 文章编号：1671-5276（2025）03-0028-05

Nonlinear Vibration Research on Two-stage Gear Systems

WANG Shuguo，GUO Lifeng，LIAO Pengtai，ZHAI Yajie （College of Information Engineering，Tarim University，Alaer 8433Oo，China）

Abstract：Given theconsideration of nonlinear factors such asbacklash，avibration mathematical model of thegear system was established，towhichumericalsolutionwascariedout，thusthebifurcationdiagramofthemodelbeingobtained.Theaalysis onthebifurcation diagramshows that thegearsystem exhibitscomplex anddiversedynamiccharacteristicsalong withthechanges in speeding，damping ratioand torsional dampingratio.Andthesystem displays doubling bifurcationand Hopfbifurcationas the speed changes，leadingtochaosthroughHopfbifurcationphaselocking.Asthedampingratiochangesdrasticaly，itwill eventually enterinto chaos through period doublingbifurcation.

Keywords：vibration；periodic motion；bifurcation；gear

0 引言

齿轮已经被广泛地应用在机械传动领域，而齿轮的振动直接或间接地影响着整个机械传动性能的好坏。（剩余4461字）