Nonlinear characteristics of a multi-degree-of-freedom spur gear system with bending-torsional coupling vibration
Nonlinear characteristics of a multi-degree-of-freedom spur gear system with bending-torsional coupling vibration
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DOI：
10.1016/j.ymssp.2018.12.002
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发表时间：
2019-04
影响因子：
8.4
通讯作者：
Junguo Wang;Jie Zhang;Zhaoyuan Yao;Xufeng Yang;Rui Sun;Y. Zhao
中科院分区：
文献类型：
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作者：
Junguo Wang;Jie Zhang;Zhaoyuan Yao;Xufeng Yang;Rui Sun;Y. Zhao
研究了直齿圆柱齿轮系统在复杂激励下的弯扭耦合响应。基于Bartelmus模型，建立了包含齿轮啮合刚度波动、传动误差、齿侧间隙和转矩载荷的单级齿轮系统多自由度集中参数动力学模型。考虑齿轮齿根圆与基圆不重合的影响，将轮齿简化为齿根圆上的悬臂梁，采用改进的啮合刚度模型计算时变啮合刚度。在此基础上，以频率比和扭转刚度为控制参数，绘制了弯扭耦合系统的分岔图，观察了系统的动力学轨道。同时，从齿轮系统的时域响应图、相平面图、庞加莱映射图和幅频谱图中识别出齿轮系统的动态特性。数值结果表明，在弯扭耦合作用下，系统呈现出周期、亚谐和混沌运动。研究结果对直齿圆柱齿轮系统的振动产生机理和工作状态有了进一步的认识。
The paper deals with bending-torsion coupling response of spur gear system due to its complex excitations. Based on the Bartelmus model, a multi-degrees-of-freedom lumped parameter dynamic model of a one-stage gear system, which includes gear mesh stiffness fluctuations, transmission errors, gear backlash and torque loads, is established. Considering the misalignment of gear root circle and base circle, an improved mesh stiffness model is applied to calculate the time-varying mesh stiffness by simplifying the gear tooth as a cantilever beam on the root circle. Based on these equations of gear system, the dynamic orbits of the bending-torsion coupling system are observed using bifurcation diagrams plotted with the frequency ratio and torsional stiffness as control parameters. Meanwhile the dynamic properties of the gear system are identified from the time domain response diagrams, phase plane diagrams, Poincare maps and amplitude-frequency spectrums of the gear system. The numerical results show that the system exhibits a diverse range of periodic, sub-harmonic, and chaotic motion with the coupling effects of bending and torsional vibrations. The results provide us a further understanding about vibration generation mechanisms and work status of the spur gear system.