基于双重响应面法的涡轮叶盘蠕变可靠性分析
|
摘要
为了精确有效地解决高温蠕变状态下多种失效模式共存时的综合可靠性分析的问题,运用双重响应面法(Dual Response Surface Method, DRSM)对航空发动机涡轮叶盘进行了可靠性分析。通过蠕变试验数据确定材料特征参数;将叶盘结构的燃气温度、材料密度、弹性模量和工作转速作为输入变量,基于建立的叶盘有限元模型,结合有限元法对其进行热-结构耦合分析得到叶盘应力和应变;利用拉丁超立方抽样技术小批量抽取样本,建立涡轮叶盘的应力和应变双重响应面数学模型;运用蒙特卡罗联动抽样技术对双重响应面数学模型进行大批量抽样,完成叶盘结构的综合可靠性分析。分析结果表明:涡轮叶盘高温蠕变综合可靠度为0.985 6;方法比较显示:双重响应面法在保证计算精度的同时明显提高了计算速度。
To more accurately and effectively solve the problem of comprehensive reliability of multi-failure mode with the thermal creep, dual response surface method(DRSM) was adopted to implement the reliability of aero-engine turbine blisk. The numerical characteristics of the material parameters were obtained through the creep test data. The gas temperature, material density, elastic modulus and working rotation speed of the blisk structure were select as input variables. By constructing the finite element model of the blisk and the thermal-structural coupling analysis method, the stress and strain of turbine blisk were obtained. The mathematical model of dual response surface for stress and strain of turbine blisk was established by using the Latin hypercube small sampling technique. The comprehensive reliability analysis of the blisk was completed by using Monte Carlo method with linkage sampling of dual response surface model. The results indicate that the comprehensive reliability of blisk with thermal creep is 0.985 6. The comparison of method shows that dual response surface method can significantly improve computational efficiency without the loss of accuracy.
To more accurately and effectively solve the problem of comprehensive reliability of multi-failure mode with the thermal creep, dual response surface method(DRSM) was adopted to implement the reliability of aero-engine turbine blisk. The numerical characteristics of the material parameters were obtained through the creep test data. The gas temperature, material density, elastic modulus and working rotation speed of the blisk structure were select as input variables. By constructing the finite element model of the blisk and the thermal-structural coupling analysis method, the stress and strain of turbine blisk were obtained. The mathematical model of dual response surface for stress and strain of turbine blisk was established by using the Latin hypercube small sampling technique. The comprehensive reliability analysis of the blisk was completed by using Monte Carlo method with linkage sampling of dual response surface model. The results indicate that the comprehensive reliability of blisk with thermal creep is 0.985 6. The comparison of method shows that dual response surface method can significantly improve computational efficiency without the loss of accuracy.
引文
[1] 毛昭勇,卫超,樊瑜,等.基于多失效模式的水下航行器耐压壳体结构可靠性研究[J].机械强度,2013(6):783-788.MAO ZhaoYong,WEI Chao,FAN Yu,et al.Study on reliability of cylindrical pressure hull with multiple failure modes correlated for underwater vehicles[J].Journal of Mechanical Strength,2013(6):783-788 (In Chinese).
[2] Sun Zhili,Wang Jian,Li Rui,et al.A new Kriging based learning function and its application to structural reliability analysis[J].Reliability Engineering & System Safety,2017,(157):152-165.
[3] 魏永祥,陈建军,王敏娟,等.平稳随机激励下随机参数齿轮副的动力可靠性分析[J].机械强度,2011,33(1):6-10.WEI YongXiang,Chen JianJun,WANG MinJuan,et al.Dynamic reliability analysis of gear with stochastic parameters under stationary random excitation[J]Journal of Mechanical Strength,2011,33(1):6-10 (In Chinese).
[4] Teng Fei,Zhang Wanxi,Liang Jicai,et al.Springback Prediction and Optimization of Variable Stretch Force Trajectory in Three-dimensional Stretch Bending Process[J].Chinese Journal of Mechanical Engineering,2015,28(6):1132-1140.
[5] 孙硕,刘双宇,贾冬生,等.高氮钢激光-电弧复合焊焊缝成形多元非线性回归模型[J].机械工程学报,2015,51(8):67-75.SUN Shuo,LIU ShuangYu,JIA DongSheng.Multiple nonlinear regression model of weld bead shape for high nitrogen steel by laser-arc hybrid welding[J].Journal of Mechanical Engineering,2015,51(8):67-75 (In Chinese).
[6] Zhang Chunyi,Bai Guangchen.Extremum response surface method of reliability analysis on two-link flexible robot manipulator[J].Journal of Central South University,2012,19(1):101-107.
[7] Fei Chengwei,Choy Yat Sze,Hu Dianyin,et al.Dynamic probabilistic design approach of high-pressure turbine blade-tip radial running clearance[J].Nonlinear Dynamics,2016,86(1):1-19.
[8] 艾书民,王克明,翟学,等.稳态温度场作用下涡轮叶片的可靠性分析[J].沈阳航空航天大学学报,2012,29(2):28-32.AI ShuMin,Wang KeMing,ZHAI Xue,et al.Reliability analysis of turbine blade under steady-state thermal field[J].Journal of Shenyang Aerospace University,2012,29(2):28-32 (In Chinese).
[9] Cheng-wei Fei,Guang-chen Bai.Distributed collaborative extremum response surface method for mechanical dynamic assembly reliability analysis[J].Journal of Central South University,2013,20(9):2414-2422.
[10] 陈志英,任远,白广忱,等.粒子群优化的Kriging近似模型及其在可靠性分析中的应用[J].航空动力学报,2011,26(7):1522-1530.CHENG Qiang,ZHAO HongWei,ZHAO YongSheng,et al.Particle swarm optimized Kriging approximate model and its application to reliability analysis[J].Journal of Aerospace Power,2011,26(7):1522-1530 (In Chinese).
[11] Cheng Qiang,Zhao Hongwei,Zhao Yongsheng,et al.Machining accuracy reliability analysis of multi-axis machine tool based on Monte Carlo simulation[J].Journal of Intelligent Manufacturing,2015:1-19.
[12] 张春宜,刘令君,孙旭东,等.基于双重响应面法的航空发动机叶片振动概率分析[J].推进技术,2017,38(4):918-924.ZHANG ChunYi,Liu LingJun,Sun XuDong,et al.Vibration probability analysis of aero-engine blades based on double response surface method [J].Journal of Propulsion Technology,2017,38(4):918-924 (In Chinese).
[13] 闫明.蠕变—热疲劳可靠寿命预测的若干问题研究[D].沈阳:东北大学,2008:2-3.YAN Ming.Study on the creep-thermal fatigue life prediction[D].Shenyang:Northeastern University,2008:2-3(In Chinese).
[14] 李学雄,夏长清,戚延龄,等.TC6钛合金的高温拉伸蠕变行为研究[J].稀有金属材料与工程,2013,42(9):1901-1904.LI XueFeng,Xia ChangQing,Qi YanLing,et al.Tensile creep behavior at high temperature of TC6 alloy[J].Rare Metal Materials and Engineering,2013,42(9):1901-1904 (In Chinese).
[15] 于慧臣,吴学仁.航空发动机设计用材料数据手册(第四版)[M].北京:航空工业出版社,2010:375-385.Yu HuiChen,Wu XueRen.Hangkong Fadongji Shejiyong Cailiao Shuju Shouce(4th Edition)[M].Beijing:Aviation Industry Press,2010:375-385 (In Chinese).
[16] 杨晓光,白露,石多奇,等.镍基单晶合金蠕变研究:叶片蠕变的有限元分析[J].航空动力学报,2010,25(12):2802-2806.YANG XiaoGuang,Bai Lu,Shi DuoQi,et al.Creep of Ni-based single crystal superalloy:finite element analysis of blade creep[J].Journal of Aerospace Power,2010,25(12):2802-2806 (In Chinese).
[17] Sharifi P,Yates D N.Nonlinear Thermo-Elastic-Plastic and Creep Analysis by the Finite-Element Method[J].Aiaa Journal,2015,12(9):1210-1215.
[18] II Hoe-Jung,Sang-Bin Lee,Jun-Jong Kim,et al.Modeling the non-elastic stretch deformation of cloth based on creep analysis[J].Textile Research Journal,2016,86(3):245-255.
[19] Liu Xiaolu,Chen Yingwu,Jing Xianrong,et al.Optimized latin hypercube sampling method and its application[J].Journal of National University of Defense Technology,2011,33(5):73-77.
[20] Zhang Chunyi,Lu Cheng,Fei Chengwei,et al.Linked Analysis of reliability of Aeroengine Blisk with dual extremum response surface method [J].Propulsion Technology,2016,37(6):1158-1164.
[2] Sun Zhili,Wang Jian,Li Rui,et al.A new Kriging based learning function and its application to structural reliability analysis[J].Reliability Engineering & System Safety,2017,(157):152-165.
[3] 魏永祥,陈建军,王敏娟,等.平稳随机激励下随机参数齿轮副的动力可靠性分析[J].机械强度,2011,33(1):6-10.WEI YongXiang,Chen JianJun,WANG MinJuan,et al.Dynamic reliability analysis of gear with stochastic parameters under stationary random excitation[J]Journal of Mechanical Strength,2011,33(1):6-10 (In Chinese).
[4] Teng Fei,Zhang Wanxi,Liang Jicai,et al.Springback Prediction and Optimization of Variable Stretch Force Trajectory in Three-dimensional Stretch Bending Process[J].Chinese Journal of Mechanical Engineering,2015,28(6):1132-1140.
[5] 孙硕,刘双宇,贾冬生,等.高氮钢激光-电弧复合焊焊缝成形多元非线性回归模型[J].机械工程学报,2015,51(8):67-75.SUN Shuo,LIU ShuangYu,JIA DongSheng.Multiple nonlinear regression model of weld bead shape for high nitrogen steel by laser-arc hybrid welding[J].Journal of Mechanical Engineering,2015,51(8):67-75 (In Chinese).
[6] Zhang Chunyi,Bai Guangchen.Extremum response surface method of reliability analysis on two-link flexible robot manipulator[J].Journal of Central South University,2012,19(1):101-107.
[7] Fei Chengwei,Choy Yat Sze,Hu Dianyin,et al.Dynamic probabilistic design approach of high-pressure turbine blade-tip radial running clearance[J].Nonlinear Dynamics,2016,86(1):1-19.
[8] 艾书民,王克明,翟学,等.稳态温度场作用下涡轮叶片的可靠性分析[J].沈阳航空航天大学学报,2012,29(2):28-32.AI ShuMin,Wang KeMing,ZHAI Xue,et al.Reliability analysis of turbine blade under steady-state thermal field[J].Journal of Shenyang Aerospace University,2012,29(2):28-32 (In Chinese).
[9] Cheng-wei Fei,Guang-chen Bai.Distributed collaborative extremum response surface method for mechanical dynamic assembly reliability analysis[J].Journal of Central South University,2013,20(9):2414-2422.
[10] 陈志英,任远,白广忱,等.粒子群优化的Kriging近似模型及其在可靠性分析中的应用[J].航空动力学报,2011,26(7):1522-1530.CHENG Qiang,ZHAO HongWei,ZHAO YongSheng,et al.Particle swarm optimized Kriging approximate model and its application to reliability analysis[J].Journal of Aerospace Power,2011,26(7):1522-1530 (In Chinese).
[11] Cheng Qiang,Zhao Hongwei,Zhao Yongsheng,et al.Machining accuracy reliability analysis of multi-axis machine tool based on Monte Carlo simulation[J].Journal of Intelligent Manufacturing,2015:1-19.
[12] 张春宜,刘令君,孙旭东,等.基于双重响应面法的航空发动机叶片振动概率分析[J].推进技术,2017,38(4):918-924.ZHANG ChunYi,Liu LingJun,Sun XuDong,et al.Vibration probability analysis of aero-engine blades based on double response surface method [J].Journal of Propulsion Technology,2017,38(4):918-924 (In Chinese).
[13] 闫明.蠕变—热疲劳可靠寿命预测的若干问题研究[D].沈阳:东北大学,2008:2-3.YAN Ming.Study on the creep-thermal fatigue life prediction[D].Shenyang:Northeastern University,2008:2-3(In Chinese).
[14] 李学雄,夏长清,戚延龄,等.TC6钛合金的高温拉伸蠕变行为研究[J].稀有金属材料与工程,2013,42(9):1901-1904.LI XueFeng,Xia ChangQing,Qi YanLing,et al.Tensile creep behavior at high temperature of TC6 alloy[J].Rare Metal Materials and Engineering,2013,42(9):1901-1904 (In Chinese).
[15] 于慧臣,吴学仁.航空发动机设计用材料数据手册(第四版)[M].北京:航空工业出版社,2010:375-385.Yu HuiChen,Wu XueRen.Hangkong Fadongji Shejiyong Cailiao Shuju Shouce(4th Edition)[M].Beijing:Aviation Industry Press,2010:375-385 (In Chinese).
[16] 杨晓光,白露,石多奇,等.镍基单晶合金蠕变研究:叶片蠕变的有限元分析[J].航空动力学报,2010,25(12):2802-2806.YANG XiaoGuang,Bai Lu,Shi DuoQi,et al.Creep of Ni-based single crystal superalloy:finite element analysis of blade creep[J].Journal of Aerospace Power,2010,25(12):2802-2806 (In Chinese).
[17] Sharifi P,Yates D N.Nonlinear Thermo-Elastic-Plastic and Creep Analysis by the Finite-Element Method[J].Aiaa Journal,2015,12(9):1210-1215.
[18] II Hoe-Jung,Sang-Bin Lee,Jun-Jong Kim,et al.Modeling the non-elastic stretch deformation of cloth based on creep analysis[J].Textile Research Journal,2016,86(3):245-255.
[19] Liu Xiaolu,Chen Yingwu,Jing Xianrong,et al.Optimized latin hypercube sampling method and its application[J].Journal of National University of Defense Technology,2011,33(5):73-77.
[20] Zhang Chunyi,Lu Cheng,Fei Chengwei,et al.Linked Analysis of reliability of Aeroengine Blisk with dual extremum response surface method [J].Propulsion Technology,2016,37(6):1158-1164.