考虑性能退化的飞机典型部件灵敏度分析
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摘要
为了研究发生性能退化的飞机典型部件对缝翼机构运动精度的影响,以缝翼机构滚轮为典型部件,选取飞机在起降阶段缝翼转过的角度作为系统输出响应,建立多体运动学模型。考虑滚轮的不同磨损情况,基于Archard磨损模型结合随机参数与人工神经网络法,得到缝翼机构的功能函数表达式。使用基于方差重要性测度与基于矩独立重要性测度两种灵敏度分析方法对飞机典型部件进行灵敏度分析,研究了随滚轮磨损量与磨损量变异系数的变化对缝翼机构运动精度的影响。研究结果表明,在飞机机构的设计、使用和检修维护不同阶段采用相应的灵敏度分析方法可以精确识别出系统中随机变量的重要性排序,对系统中灵敏度指标排序较高的变量进行优化设计和重点关注可以有效提高系统的可靠性和稳健性,同时也有效地提高了机构灵敏度分析效率。本文分析方法还可为其他机构系统的设计、使用和检修提供参考指导。
To study the impacts of typical aircraft components with performance degradation on the motion accuracy of slat mechanism, a multi-body kinematics model for the slat mechanism is constructed. Rollers of the slat mechanism are selected as the typical parts, and the angle of the slat mechanism is considered as the system output response. The roller wheel wear in different circumstances is taken into account, and a performance function with explicit expression of the slat mechanism is established based on Archard wear model and combination of stochastic parameters and an artificial neural network method. The variance-based importance measure and the moment-independent importance measure are used to analyze the sensitivity of typical aircraft components, and the influences of variation coefficient and extent of wheel wear on the motion accuracy of the slat mechanism are studied. The calculation and analysis results show that the proposed method can accurately identify the importance ranking of the random variables during the stages of design, use and maintenance of aircraft mechanisms, and optimizing and emphasizing the variables with higher sensitivity in the system can effectively improve the reliability and robustness of the system; and can increase the efficiency of mechanism sensitivity analysis. The proposed method may also be a theoretical guidance for the design, use and maintenance of other mechanism systems.
To study the impacts of typical aircraft components with performance degradation on the motion accuracy of slat mechanism, a multi-body kinematics model for the slat mechanism is constructed. Rollers of the slat mechanism are selected as the typical parts, and the angle of the slat mechanism is considered as the system output response. The roller wheel wear in different circumstances is taken into account, and a performance function with explicit expression of the slat mechanism is established based on Archard wear model and combination of stochastic parameters and an artificial neural network method. The variance-based importance measure and the moment-independent importance measure are used to analyze the sensitivity of typical aircraft components, and the influences of variation coefficient and extent of wheel wear on the motion accuracy of the slat mechanism are studied. The calculation and analysis results show that the proposed method can accurately identify the importance ranking of the random variables during the stages of design, use and maintenance of aircraft mechanisms, and optimizing and emphasizing the variables with higher sensitivity in the system can effectively improve the reliability and robustness of the system; and can increase the efficiency of mechanism sensitivity analysis. The proposed method may also be a theoretical guidance for the design, use and maintenance of other mechanism systems.
引文
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[19]张瑞雪,张锦,孙安,等.ZG06Cr13Ni4Mo不锈钢材料抗拉强度与布氏硬度的关系[J].理化检验(物理分册),2011(4):209-211.ZHANG Ruixue,ZHANG Jin,SUN An,et al.Relationship between ultimate strength and Brinell hardness of ZG06Cr13Ni4Mo stainless steel[J].Physical Testing and Chemical Analysis(Part A:Physical Testing),2011(4):209-211.
[20]宿月文,陈渭,朱爱斌,等.分形特征表面接触磨损模拟[J].西安交通大学学报,2013,47(7):52-56.SU Yuewen,CHEN Wei,ZHU Aibin,et al.Contact and wear simulation between fractal surfaces[J].Journal of Xi’an Jiaotong University,2013,47(7):52-56.
[21]VON M R.Mathematical theory of probability and statistics[M].Pittsburgh,PA,USA:Academic Press,2014:189-201.
[2]周长聪,张峰,王文选,等.随机激励下的随机结构全局灵敏度分析[J].高技术通讯,2015,25(10):956-963.ZHOU Changcong,ZHANG Feng,WANG Wenxuan,et al.Global sensitivity analysis for stochastic structures under random excitation[J].High Technology Letters,2015,25(10):956-963.
[3]吕震宙,李璐祎,宋述芳,等.不确定性结构系统的重要性分析理论与求解方法[M].北京:科学出版社,2015:8-13.
[4]SOBOL I M.Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates[J].Mathematics and Computers in Simulation,2001,55(1):271-280.
[5]IMAN R L,HORA S C.A robust measure of uncertainty importance for use in fault tree system analysis[J].Risk Analysis,1990,10(3):401-406.
[6]BORGONOVO E.A new uncertainty importance measure[J].Reliability Engineering&System Safety,2007,92(6):771-784.
[7]CUI L J,LU Z Z,ZHOU C C.The trajectory importance measure of the shaping machine under stochastic excitation[J].Proceedings of the Institution of Mechanical Engineers:Part C Journal of Mechanical Engineering Science,2012,266(3):808-815.
[8]孙中超,喻天翔,崔卫民,等.铰链间隙对连杆机构运动精度的重要性测度分析[J].中国机械工程,2014,25(21):2874-2879.SUN Zhongchao,YU Tianxiang,CUI Weimin,et al.Importance measure of revolute joint clearance about motion accuracy of linkage mechanism[J].China Mechanical Engineering,2014,25(21):2874-2879.
[9]张屹尚,刘永寿,赵彬,等.复合随机振动系统的动力可靠性矩独立重要性测度及态相关参数解法[J].振动与冲击,2014,33(16):110-114.ZHANG Yishang,LIU Yongshou,ZHAO Bin,et al.Moment-independent importance measure of dynamic reliability for double random vibration systems and its state dependent parameter solution[J].Journal of Vibration and Shock,2014,33(16):110-114.
[10]吕召燕,吕震宙,唐樟春,等.航空齿轮振动的重要性测度分析[J].机械传动,2013(4):80-85.LZhaoyan,LZhengzhou,TANG Zhangchun,et al.Analysis of importance of aeronautic gear vibration[J].Journal of Mechanical Transmission,2013(4):80-85.
[11]朱昆鹏.民机襟翼运动机构可靠性试验研究[D].南京:南京航空航天大学,2011:27-38.
[12]ARCHARD J F.Contact and rubbing of flat surfaces[J].Journal of Applied Physics,1953,24(8):981-988.
[13]季佳佳,冯蕴雯,冯元生.滚轮滑轨运动机构磨损可靠性分析[J].机械强度,2010,32(4):591-595.JI Jiajia,FENG Yunwen,FENG Yuansheng.Study on wear reliability of roller wheel and its track[J].Journal of Mechanical Strength,2010,32(4):591-595.
[14]王超,胡亚辉,谭雁清,等.基于Archard磨损理论的滑动导轨磨损率预测模型研究[J].润滑与密封,2014,39(8):73-76.WANG Chao,HU Yahui,TAN Yanqing,et al.Study on wear rate prediction model of slide guides based on Archard wear model[J].Lubrication Engineering,2014,39(8):73-76.
[15]HU Yanhui,WANG Chao,YANG Rui,et al.The attenuation model of sliding guides wear theory based on Archard wear model[C]∥Proceedings of the 2014IEEE International Conference on Mechatronics and Automation.Piscataway,NJ,USA:IEEE,2014:1570-1574.
[16]ZHANG S,SUN D,FU Y,et al.Toughening of hard nanostructural thin films:a critical review[J].Surface and Coatings Technology,2005,198(1/2/3):2-8.
[17]AKERKAR R,SAJJA P S.Artificial neural network[M]∥Intelligent Techniques for Data Science.Berlin,Germany:Springer,2016:125-155.
[18]WEI Pengfei,WANG Yanyan,TANG Chenghu.Time-variant global reliability sensitivity analysis of structures with both input random variables and stochastic processes[J].Structural and Multidisciplinary Optimization,2017,55(5):1883-1898.
[19]张瑞雪,张锦,孙安,等.ZG06Cr13Ni4Mo不锈钢材料抗拉强度与布氏硬度的关系[J].理化检验(物理分册),2011(4):209-211.ZHANG Ruixue,ZHANG Jin,SUN An,et al.Relationship between ultimate strength and Brinell hardness of ZG06Cr13Ni4Mo stainless steel[J].Physical Testing and Chemical Analysis(Part A:Physical Testing),2011(4):209-211.
[20]宿月文,陈渭,朱爱斌,等.分形特征表面接触磨损模拟[J].西安交通大学学报,2013,47(7):52-56.SU Yuewen,CHEN Wei,ZHU Aibin,et al.Contact and wear simulation between fractal surfaces[J].Journal of Xi’an Jiaotong University,2013,47(7):52-56.
[21]VON M R.Mathematical theory of probability and statistics[M].Pittsburgh,PA,USA:Academic Press,2014:189-201.