考虑热变形的变滚珠直径丝杠副的载荷均布策略研究与实验验证

Research and experimental verification of load distribution equalization strategy for screw pair with variable ball diameter considering thermal deformation

  • 摘要: 丝杠副工作的过程中,滚珠与滚道之间存在摩擦生热现象,两者产生热变形,加剧丝杠副载荷不均匀分布的现象,显著降低传动精度与疲劳寿命。为解决此问题,提出丝杠副的一种基于变直径滚珠的均载设计方法,采用非标准的滚珠直径调整策略,调整承受载荷较大的滚珠直径,从而优化热、力共同作用下滚道与滚珠的接触应力分布。具体措施是建立变滚珠直径丝杠副,通过构建多物理场下的二维有限元模型,量化分析其轴向载荷与温升工况下的载荷分布。为验证有限元仿真的准确性,采用光弹性实验技术,通过等色线条纹密度反演接触应力分布,实现了滚道-滚珠接触区域应力的可视化。实验与仿真结果共同验证,该设计可显著优化稳态工作温度下的载荷分布均匀性。据此构建的理论模型与设计方法,为高精度丝杠副的设计提供了关键支撑。

     

    Abstract: During the operation of a ball screw pair, frictional heating between balls and raceways causes thermal deformation, which exacerbates uneven load distribution and significantly reduces transmission accuracy and fatigue life. To address this issue, a load equalization design method for ball screw pairs based on variable-diameter balls is proposed. A non-standard ball diameter adjustment strategy is adopted to optimize the contact stress distribution under combined thermal and mechanical loads by adjusting the diameter of heavily loaded balls. Specifically, a variable-diameter ball screw pair is established, and a two-dimensional finite element model under multi-physical fields is constructed to quantitatively analyze the load distribution under axial load and temperature rise. Photoelastic experiment technology is used to invert the contact stress distribution via isochromatic fringe density, realizing stress visualization in the contact area. Experimental and simulation results confirm that the design significantly improves load distribution uniformity at steady-state operating temperature, and the established theoretical model and design method provide key support for high-precision ball screw pair design.

     

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