并车螺旋锥齿轮传动动力学参数二维域界结构分析

发布时间：2018-03-10 05:34

  本文选题：域界结构　切入点：胞映射法　出处：《航空动力学报》2017年08期 　论文类型：期刊论文

【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。
[Abstract]:A nonlinear dynamic model with clearance for parallel spiral bevel gear transmission is constructed, and the vibration equation is solved by variable step size Gill numerical method. The cell mapping method is introduced to the analysis of the global boundary of gear dynamics. The structure of two-dimensional boundary solution for dynamic parameters is obtained. The steady-state properties of the system in the boundary structure of tooth side clearance, synthesis error, time-varying stiffness and damping ratio are considered, and the Poincar 茅 section is obtained by using the Lyapunov exponent of the phase diagram. The dynamic bifurcation behavior of gear system under common excitation in multi-parameter domain is studied by means of fast Fourier spectrum analysis (FFTFT), and the accuracy of cell mapping method in the design of gear dynamic parameter domain is verified. The results show that when the damping ratio 尉 鈭，

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