Mo Shuai, Wu Shengyang, Huang Xuan, Liu Wenbin, Zhou Yuansheng, Zhang Jielu, Zhang Wei
State Key Laboratory of Featured Metal Materials and Life-cycle Safety for Composite Structures, Guangxi University, Nanning 530004, China.
School of Mechanical Engineering, Guangxi University, Nanning 530004, China.
Chaos. 2024 Jul 1;34(7). doi: 10.1063/5.0213857.
The synchronous meshing of the gear pair and the screw pair is a typical feature of the planetary roller screw mechanism. In order to fully derive and analyze the nonlinear dynamic characteristics of the system, this paper creatively incorporates the time-varying meshing stiffness of gear pair and the comprehensive transmission error into the research content. Combined with the thread contact force and friction force between the roller and the screw and between the roller and the nut, the nonlinear dynamic model of the planetary roller screw mechanism considering the meshing excitation of the gear pair is established. According to the time domain diagram, frequency domain diagram, phase plane diagram, Poincaré section diagram, three-dimensional spectrum diagram, and spatial phase diagram, the nonlinear behavior of the system is described in detail, and the bifurcation evolution process of the system under the excitation frequency parameters of the external load is revealed. In addition, based on the theory of multi-scale method and considering the variables such as meshing stiffness, meshing damping, and load fluctuation, the stability equation of the primary resonance of the system is derived. The analysis of the stability of the system under different working conditions shows that the parameters are selected within a reasonable range, which effectively reduces the primary common amplitude value and enhances the overall stability of the system. The research content improves the previous system dynamics modeling method and provides a theoretical basis for the nonlinear dynamics modeling method and parameter optimization design of the planetary roller screw mechanism.
齿轮副与丝杠副的同步啮合是行星滚柱丝杠机构的典型特征。为了全面推导和分析该系统的非线性动力学特性，本文创新性地将齿轮副时变啮合刚度和综合传动误差纳入研究内容。结合滚柱与丝杠、滚柱与螺母之间的螺纹接触力和摩擦力，建立了考虑齿轮副啮合激励的行星滚柱丝杠机构非线性动力学模型。通过时域图、频域图、相平面图、庞加莱截面图、三维谱图和空间相图，详细描述了系统的非线性行为，揭示了系统在外部载荷激励频率参数下的分岔演化过程。此外，基于多尺度方法理论，考虑啮合刚度、啮合阻尼和载荷波动等变量，推导了系统主共振的稳定性方程。对不同工况下系统稳定性的分析表明，在合理范围内选择参数，有效降低了主共振幅值，提高了系统的整体稳定性。该研究内容改进了以往的系统动力学建模方法，为行星滚柱丝杠机构的非线性动力学建模方法和参数优化设计提供了理论依据。
