Analysis on influence of microscopic friction roughness in rotor blade-casing system
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摘要:
聚焦于叶片-机匣系统的微观摩擦表面粗糙度，通过理论分析、数值模拟，深入探讨了从摩擦的瞬态到碰摩周期性演化的规律及其机制。研究发现，表面粗糙度显著影响初始接触应力和温度，且随表面粗糙度增加，初始应力峰值和温度上升幅度增大，表明表面粗糙度对瞬态摩擦热效应有显著影响。在周期性碰摩阶段，应力和温度趋于稳定，但表面粗糙度仍影响其分布均匀性。通过优化表面粗糙度，可有效调控摩擦行为，减少能量损耗与磨损，提升发动机效率和可靠性。本文创新性地提出了基于分形接触理论和弹塑性变形阶段的耦合模型，与传统模型相比，该模型能够更准确地描述复杂表面形态下的接触情况，全面考虑微凸体在弹塑性变形阶段的复杂行为，完整呈现摩擦过程中的力学响应全貌。这一改进显著提升模拟精度，为跨尺度力学行为研究提供了一种思路和方法。
Abstract:The micro-friction surface roughness of blade-casing systems was analyzed. Through theoretical analysis and numerical simulation, it probed into the laws and mechanisms of friction evolution from transient friction to periodic contact. It was found that surface roughness significantly affected initial contact stress and temperature. As surface roughness increased, the peak initial stress and magnitude of temperature rise also increased, indicating that surface roughness had a significant impact on transient frictional heat effects. During the periodic contact phase, stress and temperature tended to stabilize, but surface roughness still influenced their uniform distribution. By optimizing surface roughness, friction behavior can be effectively regulated, reducing energy loss and wear, thereby improving engine efficiency and performance rigidity. A coupled model based on fractal contact theory and the elastoplastic deformation stage was innovatively proposed. Compared with traditional models, this model can more accurately describe contact conditions under complex surface morphology, comprehensively considering the intricate behavior of micro-convex bodies during the elastoplastic deformation stage, and fully presenting the full picture of mechanical responses in the friction process. This improvement can significantly enhance simulation accuracy and provide an ideas and methods for studying multiscale mechanical behavior.
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Key words:
- microscopic friction /
- surface roughness /
- transient friction /
- periodic friction /
- the law of evolution
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图 1 单个微凸体接触变形简图
Figure 1. Schematic diagram of contact deformation of a single microconvex body
图 4 不同表面粗糙度下叶片应力的时域曲线
Figure 4. Time domain curve of blade stress under different surface roughness
图 5 不同表面粗糙度下叶片应力分布云图
Figure 5. Cloud map of blade stress distribution under different surface roughness
图 6 不同表面粗糙度下叶片温度的时域曲线
Figure 6. Time-domain curve of leaf temperature at different surface roughness
图 7 不同表面粗糙度下叶片温度分布云图
Figure 7. Cloud map of leaf temperature distribution under different surface roughness
图 8 不同机匣表面粗糙度下叶片应力的时域曲线
Figure 8. Time domain curve of blade stress under different casing surface roughness
图 9 不同机匣表面粗糙度下叶片应力分布云图
Figure 9. Cloud diagram of blade stress distribution under different casing surface roughness
图 10 不同机匣表面粗糙度下叶片温度时域曲线
Figure 10. Time domain curve of blade temperature under different casing roughness
图 11 不同机匣表面粗糙度下叶片温度分布云图
Figure 11. Cloud diagram of blade temperature distribution under different casing roughness
图 12 宏观转子叶片-机匣系统有限元模型
Figure 12. Finite element model of a macroscopic rotor blade-casing system
图 13 碰摩点温度和应力时域曲线
Figure 13. Time-domain curves of friction point temperature and stress
表 1 TC4 合金和结构钢材料参数
Table 1. Material parameters of TC4 alloy and structural steel
材料 弹性模量/
GPa泊松比 密度/
（kg/m3）表面粗糙度/
μmTC4合金 110 0.34 4430 0.1～0.4 结构钢 210 0.29 7850 0.4～1.6 
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表 2 TC4 合金和结构钢表面粗糙度划分标准
Table 2. TC4 Alloy and structural steel surface roughness classification standards
材料 表面粗糙度/μm 对应加工条件 TC4合金 0.1 精密加工条件（符合航空发动机
叶片的高标准表面处理要求）0.2 高精度的工业加工水平
（精密车削或铣削）0.3 一般的机械加工精度 0.4 相对粗糙的表面状态 结构钢 0.4 较高精度标准
（精细车削或铣削加工）0.8 常见的机械加工精度 1.2 一般的加工精度 1.6 低精度的加工
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