蜂窝密封动力特性系数的计算方法

Study on Calculation of the Dynamic Coefficients of Honeycomb Seals

文中提出了一种计算直通型蜂窝密封动力特性系数的方法。该方法借助单控制体模型得到控制方程,将扰动变量代入控制方程得到零阶和一阶方程,最终由压力分布表达式推导出动力特性系数。通过简化一阶方程解的表达式、引入拉式变换和泰勒展开等数学手段极大地简化了计算,提高了计算速度。使用该方法所得到的动力特性系数的计算结果与测量值量级相同。在分析体现蜂窝密封对转子稳定性总体影响的有效阻尼时,采用该方法得到的计算结果与测量值非常接近。计算实例表明,应用文中所述方法所得计算结果可以用于定量地说明蜂窝密封的减振效果,该计算方法切实可行。

A special method to calculate the straight honeycomb seals＇ dynamic coefficients was proposed. Substituting the perturbation variables into the governing equations, which were obtained by using a single-controlvolume model, yielded the zeroth-order equations and fist-order equations, in the end the dynamic coefficients were gained from the expression of the pressure distributing. To accelerate the calculation and make the process easier, Laplace transform method and Taylor expansion method were employed, and the expression of the first-order equations was simplified. It was found that the calculation results and the experimental data had the same order of magnitude. The effective damping coefficient showed the total function of the honeycomb seals to the stability of the rotor. The numerical value of the effective damping coefficient obtained by calculation was approximate to the experimental data. It indicates that the calculation results show the vibration reduction function of the honeycomb seals, and the method to calculate dynamic coefficients is feasible.