多孔质气体静压轴承静态特性仿真分析及优化设计

Static characteristic simulation analysis and optimization design of porous aerostatic bearings

  • 摘要: 多孔质气体静压轴承是超精密机床的核心部件,其静态特性受供气压力、多孔质厚度、渗透率、气膜间隙等多参数耦合影响显著。现有研究多集中于开式止推轴承,对闭式止推轴承的压力分布理论建模、多参数协同作用规律分析不够充分;且在参数优化方面,常受限于仿真数据规模与计算效率,对径向轴承和止推轴承的寻优精度与全局性不足。为此,基于Darcy定律与雷诺方程等,建立了径向轴承与闭式止推轴承的静态特性理论模型,并借助Matlab系统揭示了各参数对承载力与静刚度的耦合影响规律。研究表明,承载力与静刚度随气膜间隙呈非线性变化,存在明确最优区间;供气压力、多孔质厚度与渗透率对性能影响显著,且参数间具有明显交互效应。进一步,采用遗传算法对供气压力、多孔质厚度、渗透率等关键参数进行自动寻优,在承载力不低于500 N的约束下,实现了针对不同气膜间隙(5~30 μm)的静刚度最大化设计,优化后静刚度最高可达1 306.3 N/μm。该方法有效提升了轴承设计的适应性与工程实用性,为多孔质气体静压轴承的高性能设计与制造提供了可靠的理论依据与优化路径。

     

    Abstract: The porous aerostatic bearing is a core component of ultra-precision machine tools. Its static characteristics are significantly affected by the coupled influence of multiple parameters such as supply pressure, porous material thickness, permeability, and air film gap. Existing research has predominantly focused on open-type thrust bearings, with insufficient theoretical modeling of pressure distribution and analysis of multi-parameter synergistic effects for closed-type thrust bearings. Furthermore, in terms of parameter optimization, the accuracy and globality of optimization for radial bearings and thrust bearings are often limited by simulation data scale and computational efficiency. To address these issues, theoretical models is established for the static characteristics of both radial bearings and closed-type thrust bearings based on Darcy's law and the Reynolds equation. Using Matlab, the coupling effects of various parameters on load capacity and static stiffness are systematically revealed. The research indicates that load capacity and static stiffness change nonlinearly with the air film gap, exhibiting a clear optimal interval. Supply pressure, porous material thickness, and permeability significantly influence performance, with evident interaction effects among parameters. Furthermore, a genetic algorithm is employed for the automatic optimization of key parameters including supply pressure, porous material thickness, and permeability. Under the constraint of a load capacity not less than 500 N, a design maximizing static stiffness for different air film gaps (5-30 μm) is achieved. The optimized static stiffness can reach up to 1 306.3 N/μm. This method effectively enhances the adaptability and engineering practicability of bearing design, providing a reliable theoretical basis and optimization pathway for the high-performance design and manufacturing of porous aerostatic bearings.

     

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