θ参数法在涡轮盘蠕变变形分析中的应用
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摘要
针对某直接时效ZSGH4169涡轮盘的蠕变变形展开研究,建立了16参数的θ参数法模型,对ZSGH4169高温合金在不同温度、不同载荷下的蠕变曲线进行了模拟;将该模型同有限元程序结合,开发了相应的用户子程序,并验证了子程序的计算能力及计算精度;将模型应用于涡轮盘的蠕变分析。结果表明:该模型能够准确模拟ZSGH4169在650℃及700℃下3个阶段的蠕变行为,与Norton率等传统模型相比,建模能力更强且精度更高,特别是能够开展变载、变温等复杂条件下蠕变的数值模拟。进而获得了涡轮盘盘心孔、盘缘螺栓孔两个危险位置处蠕变应变随时间的变化规律以及应力松弛曲线,其具有工程指导意义。
The creep deformation of direct aging ZSGH4169 turbine disc was studied.Firstly,a θ projection model with 16 parameters was established to characterize the creep behavior of the ZSGH4169 superalloy at different temperatures and loads.Secondly,the corresponding user subroutine combined with the general finite element program was developed,and the calculation precision was also validated.Thirdly,the model was used to simulate the creep deformation of the turbine disc.The calculated results show that the model can describe three stages of creep behaviors of ZSGH4169 under 650℃ and 700℃.Compared with the conventional models such as Norton rate model,the model had greater modeling capabili-ty and higher accuracy,so it could be used particularly in case of the change of the loading and temperature.Furthermore,the long-time creep deformation and stress relaxation of the turbine disc at the center hole and bolt hole were obtained,providing aguidance for the engineering design.
The creep deformation of direct aging ZSGH4169 turbine disc was studied.Firstly,a θ projection model with 16 parameters was established to characterize the creep behavior of the ZSGH4169 superalloy at different temperatures and loads.Secondly,the corresponding user subroutine combined with the general finite element program was developed,and the calculation precision was also validated.Thirdly,the model was used to simulate the creep deformation of the turbine disc.The calculated results show that the model can describe three stages of creep behaviors of ZSGH4169 under 650℃ and 700℃.Compared with the conventional models such as Norton rate model,the model had greater modeling capabili-ty and higher accuracy,so it could be used particularly in case of the change of the loading and temperature.Furthermore,the long-time creep deformation and stress relaxation of the turbine disc at the center hole and bolt hole were obtained,providing aguidance for the engineering design.
引文
[1]《航空发动机设计手册》总编委会.航空发动机设计手册:第18册叶片轮盘及主轴强度分析[M].北京:航空工业出版社,2001.
[2]《航空涡喷、涡扇发动机结构设计准则》编委会.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]岳珠峰,吕震宙,杨治国,等.镍基单晶结构的蠕变损伤寿命研究[J].推进技术,2003,24(3):285-288.YUE Zhufeng,LZhenzhou,YANG Zhiguo,et al.FEM creep damage study for nickel-base single crystal structure under multiaxial stress conditions[J].Journal of Propulsion Technology,2003,24(3):285-288.(in Chinese)
[4]李娜,杨晓光,石多奇,等.服役工作条件对涡轮转子叶片蠕变寿命的影响[J].航空动力学报,2015,30(12):2870-2875.LI Na,YANG Xiaoguang,SHI Duoqi,et al.Effect of operating conditions on turbine rotor blade creep life[J].Journal of Aerospace Power,2015,30(12):2870-2875.(in Chinese)
[5]洪杰,高金海,马艳红,等.火焰筒局部蠕变屈曲分析方法[J].航空动力学报,2010,25(2):388-395.HONG Jie,GAO Jinhai,MA Yanhong,et al.Local creep buckling analysis method of combustor liner[J].Journal of Aerospace Power,2010,25(2):388-395.(in Chinese)
[6]陆山,高鹏.考虑应力松弛的涡轮盘蠕变-疲劳寿命可靠性分析方法[J].推进技术,2009,30(3):352-354.LU Shan,GAO Peng.Reliability analysis method for creep-fatigue life of turbine discs with effect of stress relaxation[J].Journal of Propulsion Technology,2009,30(3):352-354.(in Chinese)
[7]李骏,宋友辉,刘汉斌,等.涡轮叶片-榫头-轮盘的蠕变与低循环疲劳寿命预测[J].推进技术,2015,36(11):1699-1704.LI Jun,SONG Youhui,LIU Hanbin,et al.Creep and low cycle fatigue life prediction for turbine blade-tenon-disk structure[J].Journal of Propulsion Technology,2015,36(11):1699-1704.(in Chinese)
[8]高靖云,张成成,侯乃先,等.考虑应力松弛的单晶涡轮叶片蠕变疲劳寿命预测[J].航空动力学报,2016,31(3):539-547.GAO Jingyun,ZHANG Chengcheng,HOU Naixian,et al.Creep-fatigue life prediction of single crystal turbine blade with the influence of stress relaxation[J].Journal of Aerospace Power,2016,31(3):539-547.(in Chinese)
[9]穆霞英.蠕变力学[M].西安:西安交通大学出版社,1990.
[10]曹娟,石多奇,王延荣.镍基单晶合金蠕变细观结构演化及表征模拟[J].航空动力学报,2010,25(5):1077-1084.CAO Juan,SHI Duoqi,WANG Yanrong.Microstructural evolution and modeling for creep deformation of Ni base single crystal[J].Journal of Aerospace Power,2010,25(5):1077-1084.(in Chinese)
[11]SWINDEMAN R W,SWINDEMAN M J.A comparison of creep models for nickel base alloys for advanced energy systems[J].International Journal of Pressure Vessels and Piping,2008,85(1):72-79.
[12]ANDRADE E N D C.On the viscous flow in metals and allied phenomena[J].Proceedings of the Royal Society of London:Series A,1910,84(1):1-12.
[13]PRAGER M.Development of the MPC omega method for life assessment in the creep range[J].Journal of Pressure Vessel Technology,1995,117(1):95-103.
[14]EVANS R W,WILSHIRE B.Creep of metals and alloys[M].London:The Institute of Metals,1985.
[15]BROWN S G R,EVANS R W,WILSHIRE B.A comparison of extrapolation techniques for long-term creep strain and creep life prediction based on equations designed to represent creep curve shape[J].International Journal of Pressure Vessels and Piping,1986,24(3):251-268.
[16]EVANS R W,PARKER J D,WILSHIRE B.An extrapolation procedure for long-term creep strain and creep life prediction with special reference to 0.5Cr 0.5 Mo 0.25V ferritic steels[M].Swansea,UK:Recent Advances in Creep and Fatigue of Engineering Materials and Structures,Pineridge Press,1983.
[17]李昆.涡轮盘蠕变变形行为研究[D].北京:北京航空航天大学,2016.LI Kun.Turbine disk creep deformation behavior research[D]Beijing:Beijing University of Aeronautics and Astronautics,2016.(in Chinese)
[18]《航空发动机设计用材料数据手册》编委会.航空发动机设计用材料数据手册:第3册[M].北京:航空工业出版社,2008.
[2]《航空涡喷、涡扇发动机结构设计准则》编委会.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]岳珠峰,吕震宙,杨治国,等.镍基单晶结构的蠕变损伤寿命研究[J].推进技术,2003,24(3):285-288.YUE Zhufeng,LZhenzhou,YANG Zhiguo,et al.FEM creep damage study for nickel-base single crystal structure under multiaxial stress conditions[J].Journal of Propulsion Technology,2003,24(3):285-288.(in Chinese)
[4]李娜,杨晓光,石多奇,等.服役工作条件对涡轮转子叶片蠕变寿命的影响[J].航空动力学报,2015,30(12):2870-2875.LI Na,YANG Xiaoguang,SHI Duoqi,et al.Effect of operating conditions on turbine rotor blade creep life[J].Journal of Aerospace Power,2015,30(12):2870-2875.(in Chinese)
[5]洪杰,高金海,马艳红,等.火焰筒局部蠕变屈曲分析方法[J].航空动力学报,2010,25(2):388-395.HONG Jie,GAO Jinhai,MA Yanhong,et al.Local creep buckling analysis method of combustor liner[J].Journal of Aerospace Power,2010,25(2):388-395.(in Chinese)
[6]陆山,高鹏.考虑应力松弛的涡轮盘蠕变-疲劳寿命可靠性分析方法[J].推进技术,2009,30(3):352-354.LU Shan,GAO Peng.Reliability analysis method for creep-fatigue life of turbine discs with effect of stress relaxation[J].Journal of Propulsion Technology,2009,30(3):352-354.(in Chinese)
[7]李骏,宋友辉,刘汉斌,等.涡轮叶片-榫头-轮盘的蠕变与低循环疲劳寿命预测[J].推进技术,2015,36(11):1699-1704.LI Jun,SONG Youhui,LIU Hanbin,et al.Creep and low cycle fatigue life prediction for turbine blade-tenon-disk structure[J].Journal of Propulsion Technology,2015,36(11):1699-1704.(in Chinese)
[8]高靖云,张成成,侯乃先,等.考虑应力松弛的单晶涡轮叶片蠕变疲劳寿命预测[J].航空动力学报,2016,31(3):539-547.GAO Jingyun,ZHANG Chengcheng,HOU Naixian,et al.Creep-fatigue life prediction of single crystal turbine blade with the influence of stress relaxation[J].Journal of Aerospace Power,2016,31(3):539-547.(in Chinese)
[9]穆霞英.蠕变力学[M].西安:西安交通大学出版社,1990.
[10]曹娟,石多奇,王延荣.镍基单晶合金蠕变细观结构演化及表征模拟[J].航空动力学报,2010,25(5):1077-1084.CAO Juan,SHI Duoqi,WANG Yanrong.Microstructural evolution and modeling for creep deformation of Ni base single crystal[J].Journal of Aerospace Power,2010,25(5):1077-1084.(in Chinese)
[11]SWINDEMAN R W,SWINDEMAN M J.A comparison of creep models for nickel base alloys for advanced energy systems[J].International Journal of Pressure Vessels and Piping,2008,85(1):72-79.
[12]ANDRADE E N D C.On the viscous flow in metals and allied phenomena[J].Proceedings of the Royal Society of London:Series A,1910,84(1):1-12.
[13]PRAGER M.Development of the MPC omega method for life assessment in the creep range[J].Journal of Pressure Vessel Technology,1995,117(1):95-103.
[14]EVANS R W,WILSHIRE B.Creep of metals and alloys[M].London:The Institute of Metals,1985.
[15]BROWN S G R,EVANS R W,WILSHIRE B.A comparison of extrapolation techniques for long-term creep strain and creep life prediction based on equations designed to represent creep curve shape[J].International Journal of Pressure Vessels and Piping,1986,24(3):251-268.
[16]EVANS R W,PARKER J D,WILSHIRE B.An extrapolation procedure for long-term creep strain and creep life prediction with special reference to 0.5Cr 0.5 Mo 0.25V ferritic steels[M].Swansea,UK:Recent Advances in Creep and Fatigue of Engineering Materials and Structures,Pineridge Press,1983.
[17]李昆.涡轮盘蠕变变形行为研究[D].北京:北京航空航天大学,2016.LI Kun.Turbine disk creep deformation behavior research[D]Beijing:Beijing University of Aeronautics and Astronautics,2016.(in Chinese)
[18]《航空发动机设计用材料数据手册》编委会.航空发动机设计用材料数据手册:第3册[M].北京:航空工业出版社,2008.