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考虑摩擦的多间隙直齿弯扭振动建模和分岔特性

盛冬平 朱如鹏 靳广虎 陆凤霞 鲍和云

盛冬平, 朱如鹏, 靳广虎, 陆凤霞, 鲍和云. 考虑摩擦的多间隙直齿弯扭振动建模和分岔特性[J]. 航空动力学报, 2015, 30(2): 498-506. doi: 10.13224/j.cnki.jasp.2015.02.030
引用本文: 盛冬平, 朱如鹏, 靳广虎, 陆凤霞, 鲍和云. 考虑摩擦的多间隙直齿弯扭振动建模和分岔特性[J]. 航空动力学报, 2015, 30(2): 498-506. doi: 10.13224/j.cnki.jasp.2015.02.030
SHENG Dong-ping, ZHU Ru-peng, JIN Guang-hu, LU Feng-xia, BAO He-yun. Bifurcation characteristic and modeling of transverse-torsional spur gear vibration considering friction and multiple clearances[J]. Journal of Aerospace Power, 2015, 30(2): 498-506. doi: 10.13224/j.cnki.jasp.2015.02.030
Citation: SHENG Dong-ping, ZHU Ru-peng, JIN Guang-hu, LU Feng-xia, BAO He-yun. Bifurcation characteristic and modeling of transverse-torsional spur gear vibration considering friction and multiple clearances[J]. Journal of Aerospace Power, 2015, 30(2): 498-506. doi: 10.13224/j.cnki.jasp.2015.02.030

考虑摩擦的多间隙直齿弯扭振动建模和分岔特性

doi: 10.13224/j.cnki.jasp.2015.02.030
基金项目: 

江苏省高校优秀学科建设工程资助(PAPD)

中央高校基本科研业务费专项资金资助(NZ2013303,NZ2014201)

江苏省研究生创新基金(CXZZ11_0199)

国家自然科学基金(51375226)

详细信息
    作者简介:

    盛冬平(1981-),男,江苏南京人,博士生,主要从事直升机传动系统动力学和非线性的研究.

  • 中图分类号: V232;TH113

Bifurcation characteristic and modeling of transverse-torsional spur gear vibration considering friction and multiple clearances

  • 摘要: 采用集中质量法,建立了齿轮-转子-轴承系统的六自由度的多间隙弯扭耦合的非线性振动模型,模型中考虑了齿面摩擦、时变啮合刚度、齿侧间隙和支承间隙等因素.根据系统在转速、齿侧间隙、齿面摩擦以及啮合阻尼等参数下的全局分岔图和Poincare截面图,研究了各参数对系统分岔特性的影响.分析可知:在一定的齿侧间隙、啮合阻尼和低齿面摩擦因数下,随着转速的逐渐增加,系统通过拟周期分岔进入混沌.当齿面摩擦因数逐渐增加时,系统由良好润滑状态进入干摩擦,系统的混沌运动区域也因此在一临界点产生裂变,且通过激变的途径二次进入混沌;在一定的转速、啮合阻尼和齿面摩擦因数下,随着齿侧间隙的增加,系统通过激变进入混沌,同时可以发现,系统产生混沌和分岔主要发生在量纲一齿侧间隙小于3和大于7的区域,且最终通过倒分岔锁相为周期1运动;在一定的转速、啮合阻尼和齿侧间隙的条件下,随着齿面摩擦因数的增加,系统通过激变进入混沌.同时发现,随着啮合阻尼的增加,混沌区域逐渐裂变成2个、3个和4个混沌窗口,但最终都经由拟周期锁相为周期1运动.

     

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出版历程
  • 收稿日期:  2013-10-09
  • 刊出日期:  2015-02-28

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