Probabilistic analysis of turbine disk fatigue life considering geometric uncertainties
-
摘要: 针对考虑几何分散性的涡轮盘低循环疲劳(LCF)寿命概率分析中几何参数多、几何随机变量难确定、分布特征获取困难、模型需自动更新及计算成本高的问题,提出几何分散性的概率处理方法:采用试验设计方法对涡轮盘结构所有几何参数进行灵敏度分析,筛选出对应力影响较大的关键几何参数作为随机变量,使用K-S(Kolmogorov Smirnov)方法确定其分布类型和特征参数,最后建立代理模型进行Monte Carlo概率分析.基于此方法,开发出了涡轮盘概率分析系统,在该系统中筛选得到某发动机GH720Li涡轮盘内径、外径、盘缘厚度3个结构参数作为几何随机变量,完成对LCF寿命的概率分析工作得到寿命-可靠度分布曲线.分析结果表明涡轮盘外径对LCF寿命有较大影响.Abstract: For the issues of a large number of geometric variables, hard to select geometric random variables and determine their probability distributions, rebuilding the finite element model in an automated fashion, and huge numerical computation comsuption when conducting the LCF (low cycle fatigue) life prediction considering geometric uncertainties of turbine disk. A geometric uncertainty probabilistic processing method was proposed. First, the design of experiments method was employed to determine key geometric parameters, which would be treated as random variables for LCF prediction. Second, the KS (KolmogorovSmirnov) method was adopted to determine the probability distributions of random variables. Third, a surrogate model was built to conduct Monte Carlo simulation. On this basis, turbine disk probabilistic analysis system was developed. The LCF life probabilistic analysis work of a GH720Li turbine engine disk was completed under the turbine disk probability analysis system, by which three key geometric parameters (inner diameter, outer diameter, rim thickness) and lifereliability curve of the turbine disk were obtained. Analysis results shows that the outer diameter of turbine disk has a strong impact on the LCF life.
-
Key words:
- geometry uncertainty /
- reliability /
- turbine disk /
- low cycle fatigue /
- probabilistic analysis system
-
[1] 王荣桥,胡殿印,申秀丽,等.航空发动机典型结构概率设计技术[J].航空制造技术,2014(7):26-30. WANG Rongqiao,HU Dianyin,SHEN Xiuli,et al.Probabilistic design technology on typical structure of aeroengine[J].Aeronautical Manufacturing Technology,2014(7):26-30.(in Chinese) [2] 吕文林,陈俊粤,田德义,等.航空涡喷、涡扇发动机结构设计准则(研究报告):第2册 轮盘[M].北京:中国航空工业总公司发动机系统工程局,1997. [3] Millwater H R,Enright M,Fitch S.A convergent probabilistic technique for risk assessment of gas turbine disks subject to metallurgical defects[R].AIAA20021382,2002. [4] 魏大盛,杨晓光,王延荣.基于缺陷概率特点的粉末冶金材料寿命预测概率模型[J].航空动力学报,2005,20(6):951-957. WEI Dasheng,YANG Xiaoguang,WANG Yanrong.A probabilistic model for prediction of life based on probabilistic character of defects in PM mlloys[J].Journal of Aerospace Power,2005,20(6):951-957.(in Chinese) [5] 陆山,张鸿,唐俊星,等.考虑尺寸效应的轮盘应力疲劳概率寿命分析方法[J].航空动力学报,2011,26(9):2039-2043. LU Shan,ZHANG Hong,TANG Junxing,et al.Analysis method for the stress fatigue probability life of a disk considering size effect[J].Journal of Aerospace Power,2011,26(9):2039-2043.(in Chinese) [6] Reuter I,Weiss T,Becker K H.Probabilistic structuremechanical assessment of rotor discs considering geometry variations[R].ASME Paper GT201394589,2013. [7] Weiss T,Voigt M,Schlums H,et al.Probabilistic finiteelement analyses on turbine blades[R].ASME Paper GT200959877,2009. [8] Voigt M,Mucke R,Vogeler K,et al.Probabilistic lifetime analysis for turbine blades based on a combined direct Monte Carlo and response surface approach[R].ASME Paper GT200453439,2004. [9] 赵永翔,王金诺,高庆.概率循环应力—应变曲线及其估计方法[J].机械工程学报,2000,36(8):102-106. ZHAO Yongxiang,WANG Jinnuo,GAO Qing.Probabilitybased cyclic stressstrain curves and estimation method[J].Journal of Mechanical Engineering,2000,36(8):102-106.(in Chinese) [10] 赵永翔,杨冰,张卫华.应变疲劳可靠性理论与方法的新进展[J].机械强度,2005,27(5):604-611. ZHAO Yongxiang,YANG Bing,ZHANG Weihua.New advances of the strainbased fatigue reliablity theory and methods[J].Journal of Mechanical Strength,2005,27(5):604-611.(in Chinese) [11] 高阳.航空发动机涡轮盘低循环疲劳可靠性分析[D].北京:北京航空航天大学,2008. GAO Yang.Reliability analysis of LCF for turbine disks in aeroengines[D].Beijing:Beijing University of Aeronautics and Astronautics,2008.(in Chinese) [12] 唐俊星,陆山.轮盘应变疲劳寿命可靠性分析方法[J].推进技术,2005,26(4):344-347. TANG Junxing,LU Shan.Reliability analysis method for the strain fatigue life of a disk[J].Journal of Propulsion Technology,2005,26(4):344-347.(in Chinese) [13] 唐俊星,陆山.某涡轮盘低循环疲劳概率寿命数值模拟[J].航空动力学报,2006,21(4):706-710. TANG Junxing,LU Shan.Numerical simulation of LCF probability life of a turbine disk[J].Journal of Aerospace Power,2006,21(4):706-710.(in Chinese) [14] 鲁华平.涡轮盘低周疲劳寿命可靠性分析及试验评估[D].西安:西北工业大学,2005. LU Huaping.Low cycle fatigue life of the turbine disk reliability analysis and assessment test[D].Xian:Northwestern Polytechnical University,2005.(in Chinese) [15] 鲁华平,陆山,唐俊星.非对称循环疲劳寿命研究及涡轮盘概率寿命分析[J].机械强度,2007,29(1):92-96. LU Huaping,LU Shan,TANG Junxing.Research on the unsymmetrical cyclic fatigue life and reliable life analysis of a turbine disk[J].Journal of Mechanical Strength,2007,29(1):92-96.(in Chinese) [16] 高阳,白广忱,张瑛莉.涡轮盘低循环疲劳寿命的概率分析[J].航空动力学报,2009,24(4):804-809. GAO Yang,BAI Guangchen,ZHANG Yingli.Probability analysis for the low cycle fatigue life of a turbine disk[J].Journal of Aerospace Power,2009,24(4):804-809.(in Chinese) [17] 裴月,薛飞,王荣桥.涡轮盘低循环疲劳寿命可靠性研究[J].燃气涡轮试验与研究,2007,20(1):39-43. PEI Yue,XUE Fei,WANG Rongqiao.Reliability research for the low cycle fatigue life of a turbine disk[J].Gas Turbine Experiment and Research,2007,20(1):39-43.(in Chinese) [18] 胡殿印,裴月,王荣桥,等.涡轮盘结构概率设计体系的研究[J].航空学报,2008,29(5):1144-1149. HU Dianyin,PEI Yue,WANG Rongqiao,et al.Research of probabilistic design system for turbine disk structure[J].Acta Aeronautica et Astronautica Sinica,2008,29(5):1144-1149.(in Chinese) [19] 胡殿印,裴月,王荣桥,等.涡轮盘低循环疲劳的概率设计[J].推进技术,2008,29(4):481-487. HU Dianyin,PEI Yue,WANG Rongqiao,et al.Probabilistic design of low cycle fatigue for turbine disk[J].Journal of Propulsion Technology,2008,29(4):481-487.(in Chinese) [20] 高阳,杨昌军,白广忱,等.涡轮盘低循环疲劳可靠性设计方法[J].航空发动机,2011,37(1):4-8. GAO Yang,YANG Changjun,BAI Guangchen,et al.Reliability design of turbine disk low cycle fatigue[J].Aeroengine,2011,37(1):4-8.(in Chinese) [21] 赵慧.基于KS检验copula分布估计算法中边缘分布的研究[D].太原:太原科技大学,2013. ZHAO Hui.Research on marginal distribution in copula estimation of distribution algorithm based on KS test[J].Taiyuan:Taiyuan University of Science and Technology,2013.(in Chinese) [22] 中国金属学会高温材料分会.中国高温合金手册:上卷[M].北京:中国标准出版社,2012. [23] 苏子健,钟毅芳.系统近似建模技术的研究与比较[J].系统工程与电子技术,2005,27(5):834-836. SU Zijian,ZHONG Yifang.Investigation and comparison of approximate modeling of a complex system[J].Systems Engineering and Electronics,2005,27(5):834-836.(in Chinese) [24] Jin R,Chen W,Simpson T W.Comparative studies of metamodelling techniques under multiple modelling criteria[R].AIAA20004801,2000. [25] Giunta A A.Use of data sampling,surrogate models,and numerical optimization in engineering design[R].AIAA20020538,2002. [26] Enright M P,Millwater H R.Optimal sampling techniques for zonebased probabilistic fatigue life prediction[R].AIAA20021383,2002. [27] 钟春生.如何保证零件尺寸分布中心与公差中心重合的几点思考[J].机电工程技术,2004,33(2):79-80. [28] 林宋,候彦丽.轴承零件加工尺寸的分布拟合研究[J].轴承,2002(12):21-24. LIN Song,HOU Yanli.Fitting of precess dimension distribution for bearing components[J].Bearing,2002(12):21-24.(in Chinese) [29] 张利民,席稳峰,蒙秦渝.利用MTS引伸计在国产试验机上进行金属材料泊松比测定[J].实验室研究与探索,2007,26(11):329-330. ZHANG Limin,XI Wenfeng,MENG Qinyu.Testing metallic materialsPoisson ratio on domestic testing machine by the MTS strain gauge[J].Research and Exploration in Laboratory,2007,26(11):329-330.(in Chinese) [30] 冯引利,曹凤兰,王卫国,等.FGH96亚尺寸粉末冶金盘低循环疲劳寿命可靠性分析及试验研究[J].燃气涡轮试验与研究,2007,20(2):53-57. FENG Yinli,CAO Fenglan,WANG Weiguo,et al.Reliability analysis on a P/M superalloy subscale disk and experimental investigation[J].Gas Turbine Experiment and Research,2007,20(2):53-57.
点击查看大图
计量
- 文章访问数: 876
- HTML浏览量: 2
- PDF量: 533
- 被引次数: 0