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并车螺旋锥齿轮传动动力学参数二维域界结构分析

林何 王三民 董金城

林何, 王三民, 董金城. 并车螺旋锥齿轮传动动力学参数二维域界结构分析[J]. 航空动力学报, 2017, 32(8): 2017-2024. doi: 10.13224/j.cnki.jasp.2017.08.027
引用本文: 林何, 王三民, 董金城. 并车螺旋锥齿轮传动动力学参数二维域界结构分析[J]. 航空动力学报, 2017, 32(8): 2017-2024. doi: 10.13224/j.cnki.jasp.2017.08.027
Two-dimensional domain structure of dynamical parameters of combining spiral gear transmission[J]. Journal of Aerospace Power, 2017, 32(8): 2017-2024. doi: 10.13224/j.cnki.jasp.2017.08.027
Citation: Two-dimensional domain structure of dynamical parameters of combining spiral gear transmission[J]. Journal of Aerospace Power, 2017, 32(8): 2017-2024. doi: 10.13224/j.cnki.jasp.2017.08.027

并车螺旋锥齿轮传动动力学参数二维域界结构分析

doi: 10.13224/j.cnki.jasp.2017.08.027
基金项目: 国家高技术研究发展计划(2009AA04Z404)

Two-dimensional domain structure of dynamical parameters of combining spiral gear transmission

  • 摘要: 构建了并车螺旋锥齿轮传动含间隙非线性动力学模型,采用变步长Gill数值法对振动方程进行了求解。将胞映射法引入齿轮动力学全局性态域界分析中,获得了动力学参数二维域界解结构。分别考虑了系统在齿侧间隙、综合误差、时变刚度以及阻尼比等参数域界结构中的稳态特性,借助相图、Lyapunov指数(LE)、Poincaré截面、快速傅里叶频谱分析(FFT)等手段研究了齿轮系统在多参数域共同激励下的动态分岔行为,验证了胞映射法在齿轮动力学参数域设计中的准确性。结果表明:当阻尼比ξ∈[0.025,0.225]时,在间隙和综合误差激励下系统均通过倍周期分岔进入混沌;较大阻尼比有助于系统处于稳态周期域中;时变啮合刚度激励下,系统在周期域和混沌域之间发生跃迁,域界附近参数的微小波动将导致吸引子进入另一吸引域中。

     

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出版历程
  • 收稿日期:  2015-11-17
  • 刊出日期:  2017-08-28

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