高技术通讯2011，Vol.21Issue(1)：65-70,6.DOI:10.3772/j.issn.1002-0470.2011.01.011
支承刚度和啮合间隙变化时弧齿锥齿轮传动系统的分岔与混沌行为
Influence of bearing stiffness and backlash on bifurcation and chaos of spiral bevel gear transmission systems
摘要
Abstract
An 8-DOF nonlinear dynamic model of a spiral bevel gear transmission system was established, with the gear pair's time-dependent mess stiffness, transmission error and backlash being considered. The dynamic bifurcation property and the chaotic property of the system were obtained when the bearing stiffness and backlash changed. The changes of the system response between cycle motion and chaotic motion and the effect of backlash on the dynamic transmission error are studied. The results show that when the bearing stiffness is in small value regions, the system response changes from periodic motions to chaotic motions through double-period bifurcation, and changes from chaotic motions to periodic motions by inverse double-period bifurcation or inverse quasi-period bifurcation. While, when the bearing stiffness is in big value regions, the system response changes from periodic motions to chaotic motions through double-period bifurcation or quasiperiod bifurcation, and changes from chaotic motions to periodic motions by inverse quasi-period bifurcation. With the increase of backlash, the system response changes from periodic motions to chaotic motions through double-period bifurcation, and changes from chaotic motions to periodic motions through inverse double-period bifurcation.关键词
弧齿锥齿轮/非线性振动/分岔/混沌/支承刚度/啮合间隙Key words
spiral bevel gear/ nonlinear vibration/ bifurcation/ chaos/ bearing stiffness/ backlash引用本文复制引用
李以农,李贵彦,郑玲,范振华..支承刚度和啮合间隙变化时弧齿锥齿轮传动系统的分岔与混沌行为[J].高技术通讯,2011,21(1):65-70,6.基金项目
国家自然科学基金(50875270),教育部重点科技项目(108108)和重庆市自然科学基金(CSTC,2008BA6025)资助项目. （50875270）
