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圆弧型指尖密封迟滞特性的数学计算方法

杜春华 张延超 董书娜 崔亚辉 吉洪湖

杜春华,张延超,董书娜,等.圆弧型指尖密封迟滞特性的数学计算方法[J].航空动力学报,2022,37(8):1587‑1596. doi: 10.13224/j.cnki.jasp.20210126
引用本文: 杜春华,张延超,董书娜,等.圆弧型指尖密封迟滞特性的数学计算方法[J].航空动力学报,2022,37(8):1587‑1596. doi: 10.13224/j.cnki.jasp.20210126
DU Chunhua,ZHANG Yanchao,DONG Shuna,et al.Mathematical calculation method for hysteresis characteristics of arc⁃shaped finger seal[J].Journal of Aerospace Power,2022,37(8):1587‑1596. doi: 10.13224/j.cnki.jasp.20210126
Citation: DU Chunhua,ZHANG Yanchao,DONG Shuna,et al.Mathematical calculation method for hysteresis characteristics of arc⁃shaped finger seal[J].Journal of Aerospace Power,2022,37(8):1587‑1596. doi: 10.13224/j.cnki.jasp.20210126

圆弧型指尖密封迟滞特性的数学计算方法

doi: 10.13224/j.cnki.jasp.20210126
基金项目: 

陕西省科技成果转移与推广计划 2018XNCG⁃G⁃11

陕西省教育厅服务地方专项计划项目 19JC030

国家自然科学基金青年基金 51305343

详细信息
    作者简介:

    杜春华(1987-),男,讲师,博士,研究领域为润滑与密封技术、传质与传热。E⁃mail:duchunhua555@163.com

  • 中图分类号: V231

Mathematical calculation method for hysteresis characteristics of arc⁃shaped finger seal

  • 摘要:

    为了预测指尖密封迟滞特性,提出了用能够直观反映指尖密封迟滞特性的最小迟滞量来表征指尖密封的迟滞,建立了指尖密封最小迟滞量计算的数学模型,确定了模型中的修正系数,并进行了试验验证,采用修正后的计算模型研究并获得了结构和工况参数对指尖密封迟滞的影响规律。研究结果表明:采用修正后的模型进行考虑迟滞效应的泄漏特性数值计算与试验结果误差最大为7.64%,最小迟滞量的计算模型合理可靠;指尖密封结构参数对其最小迟滞量影响程度从小到大依次为:指梁型线圆、指梁间隙、指梁根圆、指梁顶圆、指梁基圆、周向角、指尖片厚度。研究结果为进一步开展迟滞对指尖密封泄漏特性影响和指尖密封结构优化设计的研究提供了依据和理论基础。

     

  • 图 1  指尖密封结构

    Figure 1.  Structure of finger Seal

    图 2  上下游压差作用下的指尖片受力

    Figure 2.  Stress of finger seal laminates under pressure difference between the upstream and downstream

    图 3  指尖片单个指的受力

    Figure 3.  Force on single finger of finger seal laminates

    图 4  指梁摩擦力矩分析模型

    Figure 4.  Analysis model of friction torque of finger beam

    图 5  指梁恢复力力矩分析模型

    Figure 5.  Analysis model of restoring force of finger beam

    图 6  转速下降阶段转子在零转速时泄漏量随压差变化的数值计算与试验结果

    Figure 6.  Numerical calculation and experiment results of leakage varies along with different pressures at zero rotor speed in rotor speed drop phase

    图 7  综合修正系数及其拟合曲线

    Figure 7.  Comprehensive correction coefficient and its fitting curve

    图 8  指尖密封泄漏量随转速升降循环的变化

    Figure 8.  Leakage varies of finger seal along with rotor speed rise and fall

    图 9  指尖密封最小迟滞量随参数变化系数的变化

    Figure 9.  Variation of the minimum hysteresis of finger seal along with variation of parameter change coefficient

    图 10  指尖密封最小迟滞量随实际结构尺寸的变化趋势

    Figure 10.  Change trend of the minimum hysteresis of finger seal along with the practical value of structure parameters

    图 11  小尺寸指尖密封的最小迟滞量随压差和摩擦因数的变化

    Figure 11.  Variation trend of the minimum hysteresis of small size finger seals along with pressure

    表  1  指尖密封的结构参数

    Table  1.   Structure parameters of finger seal

    结构参数参数取值
    D0/mm190
    Di/mm150
    Df/mm152
    Db/mm170
    Rc/mm17.5
    Rs/mm75
    θ/(°)6
    θ'/(°)6
    Is/mm0.3
    Z/个60
    b/mm0.25
    下载: 导出CSV

    表  2  单位参数变化量下指尖密封最小迟滞量的变化量

    Table  2.   Variation of the minimum hysteresis of finger seal under change of the unit parameter

    结构参数变化量结构参数变化量
    Df/mm0.063 3Is/mm0.029 7
    Db/mm0.045 4b/mm1.121 5
    Rc/mm0.075θ/(°)0.243 7
    Rs/mm0.011 5
    下载: 导出CSV
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  • 收稿日期:  2021-03-22

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