Judgment method of circumferential relative sliding of air film seal between shafts
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摘要:
为预判端面轴间气膜密封中密封环与外层转子之间是否产生周向相对滑动,提出了一种考虑离心膨胀效应的轴间气膜密封周向相对滑动判定方法。分析了密封环与外层转子之间产生周向相对滑动的力学机制,将密封环和外层转子离心膨胀简化为轴对称平面应力问题和轴对称平面应变问题。计算了密封环和外层转子的弹性变形刚度差异对膨胀变形及连接关系的影响,得到了密封环与外层转子产生临界滑动的工况区域。所提判定方法对工程中密封环的周向滑动问题提供了预测及指导。
Abstract:In order to predict whether there is relative sliding in the circumferential direction between the seal ring and the outer rotor in air film seal between shafts, a method for determining the circumferential sliding of air film seal between shafts considering centrifugal expansion effect is proposed. The mechanical mechanism of the circumferential sliding between seal ring and outer rotor is analyzed. The centrifugal expansion of seal ring and outer rotor is simplified into axisymmetric plane stress and axisymmetric plane strain. The influence of the difference of elastic deformation stiffness between seal ring and outer rotor on the expansion deformation and the connection relationship is calculated, and the critical sliding operating area between seal ring and rotor is obtained. The research method provides a prediction and guidance method for circumferential sliding of seal ring in engineering.
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表 1 密封环参数
Table 1. Parameters of seal ring
参数 符号 摩擦因数 μ 密封环宽度 B 无旋转时密封环外边界上的正压力 p 旋转时密封环外边界上的正压力 pe 密封环的转动惯量 J 外层转子在ω角速度时的瞬时角加速度 α 密封环外半径 r2 密封环内半径 r1 密封环外圆周面积 S 密封环质量 m 最大静摩擦力与滑动摩擦力之间的比例系数 K 外层转子内半径 R1 外层转子外半径 R2 参数 数值 摩擦因数μ 0.15 密封环外半径r2/mm 76 密封环内半径r1/mm 69 密封环宽度B/mm 10 外层转子最高转速n/(r·min-1) 18 000 外层转子角加速度α/(rad·s-2) 188.5 外层转子外半径R2/mm 82 外层转子内半径R1/mm 76 表 3 材料性能参数一
Table 3. Material property parameters Ⅰ
参数 数值 密封环弹性模量E1/GPa 14 密封环泊松比ν1 0.25 密封环密度ρ1/(g·cm-3) 1.8 外层转子弹性模量E2/GPa 209 外层转子泊松比ν2 0.3 外层转子密度ρ2/(g·cm-3) 7.85 表 4 材料性能参数二
Table 4. Material property parameters Ⅱ
参数 数值 密封环弹性模量E1/GPa 209 密封环泊松比ν1 0.3 密封环密度ρ1/(g·cm-3) 7.85 外层转子弹性模量E2/GPa 14 外层转子泊松比ν2 0.25 外层转子密度ρ2/(g·cm-3) 1.8 表 5 材料性能参数三
Table 5. Material property parameters Ⅲ
参数 数值 密封环弹性模量E1/GPa 209 密封环泊松比ν1 0.3 密封环密度ρ1/(g·cm-3) 7.85 外层转子弹性模量E2/GPa 209 外层转子泊松比ν2 0.3 外层转子密度ρ2/(g·cm-3) 7.85 -
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