失谐叶盘系统避共振可靠度评估方法
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摘要
基于振动设计理论,考虑失谐叶盘系统激振频率和模态频率的相关性,提出了1种航空发动机失谐叶盘系统避共振可靠度的计算方法。通过确定性分析和概率分析说明了失谐会增加叶盘系统避共振难度,并得到叶盘系统模态频率的概率分布特性。在此基础上,运用所提出方法,拟合得到失谐叶盘系统的避共振可靠度响应面,进而用该响应面计算不同结构谐波系数下失谐叶盘系统避共振可靠度。将计算结果与蒙特卡洛法及未考虑激振频率和模态频率相关性的传统方法的结果进行对比,验证了所提出方法在失谐叶盘系统避共振可靠性分析中的准确性。
Based on the theory of vibration design and considering the correlation between excitation frequency and modal frequency of the mistuned bladed disk assemblies system,a method for calculating the anti-resonance reliability of the aeroengine mistuned bladed disk assemblies system was proposed.Through deterministic analysis and probabilistic analysis,it was shown that mistuned would increase the difficulty of anti-resonancebladed disk assemblies system and the probability distribution of the modal frequency of the bladed disk assemblies system was obtained. According to the proposed method, the reliability response surface of anti-resonance of mistuned bladed disk system was obtained. Finally,the reliability of anti-resonance of mistuned bladed disk system under different structural harmonic coefficient was calculated by the response surface.The calculated results were compared with those obtained by Monte Carlo Method and traditional methods without considering the correlation between excitation frequency and modal frequency. The accuracy of the proposed method in the analysis of the anti-resonance reliability of the aeroengine mistuned bladed disk assemblies systemwas verified.
Based on the theory of vibration design and considering the correlation between excitation frequency and modal frequency of the mistuned bladed disk assemblies system,a method for calculating the anti-resonance reliability of the aeroengine mistuned bladed disk assemblies system was proposed.Through deterministic analysis and probabilistic analysis,it was shown that mistuned would increase the difficulty of anti-resonancebladed disk assemblies system and the probability distribution of the modal frequency of the bladed disk assemblies system was obtained. According to the proposed method, the reliability response surface of anti-resonance of mistuned bladed disk system was obtained. Finally,the reliability of anti-resonance of mistuned bladed disk system under different structural harmonic coefficient was calculated by the response surface.The calculated results were compared with those obtained by Monte Carlo Method and traditional methods without considering the correlation between excitation frequency and modal frequency. The accuracy of the proposed method in the analysis of the anti-resonance reliability of the aeroengine mistuned bladed disk assemblies systemwas verified.
引文
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[16]王鹞玮,白广忱,白斌,等.失调叶盘结构模态特性及抗共振可靠度分析[J].航空发动机,2016,42(3):48-53.WANG Yaowei,BAI Guangchen,BAI Bin,et al.Analysis of modal characteristics and anti-resonance of mistuned bladed disk[J].Aeroengine,2016,42(3):48-53.(in Chinese)
[17]王红建,贺尔铭,赵志彬.叶片随机失谐与叶盘结构共振特性分析[J].西北工业大学学报,2011,29(2):189-193.WANG Hongjian,HE Erming,ZHAO Zhibin.Investigating further resonant response characteristics of disk with randomly mistuned blades[J].Journal of Northwestern Polytechnical University,2011,29(2):189-193.(in Chinese)
[18]王桂华,费成巍,白广忱.基于ERSM涡轮盘径向变形的非线性动态概率分析[J].推进技术,2013,34(4):529-536.WANG Guihua,FEI Chengwei,BAI Guangchen.Nonlinear dynamic probabilitic analysis of turbine disk radial deformation based on ERSM[J].Journal of Propulsion Technology,2013,34(4):529-536.(in Chinese)
[19]赵洁.机械可靠性分析的响应面法研究[D].西安:西北工业大学,2006.ZHAO Jie.Study on response surface method for mechanical reliability analysis[D].Northwestern Polytechnical University,2006.(in Chinese)
[20]王桂华,蔚夺魁,洪杰,等.航空发动机可靠性试验方法研究[J].航空发动机,2014,40(5):13-17.WANG Guihua,YU Duokui,Hong Jie,et al.Reliability test method of aeroengine[J].Aeroengine,2014,40(5):13-17.(in Chinese)
[21]白斌,白广忱,童晓晨,等.航空发动机叶盘结构应力和变形的概率分析[J].航空发动机,2014,40(2):38-46.BAI Bin,BAI Guangchen,TONG Xiaochen,et al.Probability analysis of structure stress and deformation for aeroengine Bladed Disk[J].Aeroengine,2014,40(2):38-46.(in Chinese)
[22]史进渊,林振坤,龚汉声.透平机械零件振动的可靠性设计[J].航空动力学报,1995,10(3):263-266,312.SHI Jinyuan,LIN Zhenkun,GONG Hansheng.Reliability design of turbine part vibration[J].Journal of Aerospace Power,1995,10(3):263-266,312.(in Chinese)
[23]艾书民,王克明,缪辉,等.稳态温度场作用下涡轮叶片振动特性的研究[J].沈阳航空航天大学学报,2011,28(4):17-21.AI Shumin,WANG Keming,MIU Hui,et al.Research on turbine blade vibration characteristic under steady state temperature field[J].Journal of Shenyang Aerospace University,2011,28(4):17-21.(in Chinese)
[2]Rotea M,D'Amato F.New tools for analysis and optimization of mistuned bladed disks[R]AIAA-2002-4081.
[3]李其汉,王延荣,王建军.航空发动机叶片高循环疲劳失效研究[J].航空发动机,2003,29(4):16-18,41.LI Qihan,WANG Yanrong,WANG Jianjun.Investigation of high cycle fatigue failures for the aero engine blades[J].Aeroengine,2003,29(4):16-18,41.(in Chinese)
[4]白斌,白广忱,童晓晨,等.整体叶盘结构失谐振动的国内外研究状况[J].航空动力学报,2014,29(1):91-103.BAI Bin,BAI Guangchen,TONG Xiaochen,et al.Research on vibration problem of integral mistuned bladed disk assemblies at home and abroad[J].Journal of Aerospace Power,2014,29(1):91-103.(in Chinese)
[5]王建军,李其汉,朱梓根.失谐叶片-轮盘结构系统振动局部化问题的研究进展[J].力学进展,2000,30(4):517-528.WANG Jianjun,LI Qihan,ZHU Zigen.Vibratory localization of mistuned bladed disk assemblies-a review[J].Advances in Mechanics,2000,30(4):517-528.(in Chinese)
[6]葛长闯,王建军,刘永泉.失谐多级整体叶盘振动模态特性定量评价方法研究[J].航空发动机,2012,38(1):25-28,62.GE Changchuang,WANG Jianjun,LIU Yongquan.Quantitative assessment method of vibration mode characteristics for mistuned multistage blisk[J].Aeroengine,2012,38(1):25-28,62.(in Chinese)
[7]廖海涛,王建军,王帅,等.失谐叶盘结构振动模态局部化实验[J].航空动力学报,2011,26(8):1847-1854.LIAO Haitao,WANG Jianjun,WANG Shuai,et al.Experimental investigation of the worst-case mode localization for a mistuned bladed disk assemblies[J].Journal of Aerospace Power,2011,26(8):1847-1854.(in Chinese)
[8]Petrov E P,Ewins D J.Analysis of the worst mistuning patterns in bladed disk assemblies[J].Journal of Turbomachiner,2003,125:623-631.
[9]Petrov E P.A method for forced response analysis of mistuned bladed disks with aerodynamic effects included[J].Journal of Engineering for Gas Turbines and Power,2010,132(6):062502.1-062502.10.
[10]姚建尧,王建军,李其汉.基于振型节径谱的失谐叶盘结构动态特性评价[J].推进技术,2011,32(5):645-653.YAO Jianyao,WANG Jianjun,LI Qihan.Dynamic characteristics assessment of mistuned bladed disk using nodal diameter spectrum of mode shapes[J].Journal of Propulsion Technology,2011,32(5):645-653.(in Chinese)
[11]Ayers J P,Feiner D M,Griffin J H.A reduced-order model for transient analysis of bladed disk forced response[J].Journal of Turbomachinery,2006,128(3):466-473.
[12]王延荣,田爱梅.结构振动可靠性设计方法研究[J].航空动力学报,2003,18(2):191-194.WANG Yanrong,TIAN Aimei.Reserch on reliability design method of structural vibration[J].Journal of Aerospace Power,2003,18(2):191-194.(in Chinese)
[13]Zhang Meng,Lu Shan.A new fuzzy reliability model to avoid resonance and its numerical solutions[J].Journal of Physical Sciences,2013,17(5):59-68.
[14]翟红波,吴子燕,刘永寿,等.两端简支输流管道共振可靠度分析[J].振动与冲击,2012,31(12):160-164.ZHAI Hongbo,WU Ziyan,LIU Yongshou,et al.Analysis of resonance reliability for a simply supported pipe conveying fluid[J].Journal of vibration and shock,2012,31(12):160-164.(in Chinese)
[15]欧阳德,孔瑞莲,宋兆泓.叶片振动可靠性评估方法研究[J].航空动力学报,1998,13(2):161-164,219.OU Yangde,KONG Ruilian,SONG Zhaohong.AN assessment method for blade vibration reliability[J].Journal of Aerospace Power,1998,13(2):161-164,219.(in Chinese)
[16]王鹞玮,白广忱,白斌,等.失调叶盘结构模态特性及抗共振可靠度分析[J].航空发动机,2016,42(3):48-53.WANG Yaowei,BAI Guangchen,BAI Bin,et al.Analysis of modal characteristics and anti-resonance of mistuned bladed disk[J].Aeroengine,2016,42(3):48-53.(in Chinese)
[17]王红建,贺尔铭,赵志彬.叶片随机失谐与叶盘结构共振特性分析[J].西北工业大学学报,2011,29(2):189-193.WANG Hongjian,HE Erming,ZHAO Zhibin.Investigating further resonant response characteristics of disk with randomly mistuned blades[J].Journal of Northwestern Polytechnical University,2011,29(2):189-193.(in Chinese)
[18]王桂华,费成巍,白广忱.基于ERSM涡轮盘径向变形的非线性动态概率分析[J].推进技术,2013,34(4):529-536.WANG Guihua,FEI Chengwei,BAI Guangchen.Nonlinear dynamic probabilitic analysis of turbine disk radial deformation based on ERSM[J].Journal of Propulsion Technology,2013,34(4):529-536.(in Chinese)
[19]赵洁.机械可靠性分析的响应面法研究[D].西安:西北工业大学,2006.ZHAO Jie.Study on response surface method for mechanical reliability analysis[D].Northwestern Polytechnical University,2006.(in Chinese)
[20]王桂华,蔚夺魁,洪杰,等.航空发动机可靠性试验方法研究[J].航空发动机,2014,40(5):13-17.WANG Guihua,YU Duokui,Hong Jie,et al.Reliability test method of aeroengine[J].Aeroengine,2014,40(5):13-17.(in Chinese)
[21]白斌,白广忱,童晓晨,等.航空发动机叶盘结构应力和变形的概率分析[J].航空发动机,2014,40(2):38-46.BAI Bin,BAI Guangchen,TONG Xiaochen,et al.Probability analysis of structure stress and deformation for aeroengine Bladed Disk[J].Aeroengine,2014,40(2):38-46.(in Chinese)
[22]史进渊,林振坤,龚汉声.透平机械零件振动的可靠性设计[J].航空动力学报,1995,10(3):263-266,312.SHI Jinyuan,LIN Zhenkun,GONG Hansheng.Reliability design of turbine part vibration[J].Journal of Aerospace Power,1995,10(3):263-266,312.(in Chinese)
[23]艾书民,王克明,缪辉,等.稳态温度场作用下涡轮叶片振动特性的研究[J].沈阳航空航天大学学报,2011,28(4):17-21.AI Shumin,WANG Keming,MIU Hui,et al.Research on turbine blade vibration characteristic under steady state temperature field[J].Journal of Shenyang Aerospace University,2011,28(4):17-21.(in Chinese)