CAJ | 학술논문

根据流量守恒推导出混合气体轴承微元控制体的差分方程，用牛顿-拉夫逊方法求解此方程。对于较难处理的小孔边界条件，由区域流量平衡构造目标函数，用POWELL优化方法进行求解，并将计算得到的轴承承载力与Powell实验结果和其他理论分析方法的计算结果进行比较。结果表明：采用POWELL优化算法处理小孔边界条件，成功解决了将小孔流量作为源项时的小孔伪回流问题。该方法具有很高的计算精度，可用于动压、静压轴承以及较高转速下混合气体轴承性能的精确计算。采用牛顿-拉夫逊法求解轴承气膜压力分布，不需要确定最佳松弛因子，在所有离心率下，计算结果均与实验结果符合得很好。
근거류량수항추도출혼합기체축승미원공제체적차분방정，용우돈-랍부손방법구해차방정。대우교난처리적소공변계조건，유구역류량평형구조목표함수，용POWELL우화방법진행구해，병장계산득도적축승승재력여Powell실험결과화기타이론분석방법적계산결과진행비교。결과표명：채용POWELL우화산법처리소공변계조건，성공해결료장소공류량작위원항시적소공위회류문제。해방법구유흔고적계산정도，가용우동압、정압축승이급교고전속하혼합기체축승성능적정학계산。채용우돈-랍부손법구해축승기막압력분포，불수요학정최가송이인자，재소유리심솔하，계산결과균여실험결과부합득흔호。
The differential equation of representative control volume of hybrid gas journal bearing was derived based on the principle of flow conservation,and was solved by Newton-Raphson method.For the difficult orifice boundary condi-tions,the objective function was constructed by regional flow equilibrium and solved by the POWELL optimization algo-rithm.The calculation results were compared with the experimental results from Powell and the calculation results from oth-er theoretical analysis methods.The results indicate that,by using POWELL optimization algorithm to process the orifice boundary conditions,the problem of orifice pseudo backflow was solved successfully when regarding the flow of orifice as the source term.This method has high precision and can be used to calculate the performance of self-acting bearing,hydro-static bearing and hybrid bearing in the high speed accurately.The best relaxation factor do not need to be confirmed when calculating the pressure distribution using Newton-Raphson method,therefore the calculation results are well consistent with the experimental results in all eccentricity conditions.