基于Hilbert变换的裂纹叶片时变物理参数识别
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- 英文论文题名：Time-varying physical parameters identification of a cracked blade using Hilbert transform method
- 论文作者：孙佳兴 ; 曹树谦 ; 郭虎伦 ; 李利青
- 英文论文作者：Sun Jiaxing ; Cao Shuqian ; Guo Hulun ; Li Liqing ; Department of Mechanics ; Tianjin University ; Tianjin Key Laboratory of Nonlinear Dynamics and Control ; State Key Laboratory of Engines ; Tianjin University
- 年：2016
- 作者机构：天津大学力学系;天津市非线性动力学与控制重点实验室;天津大学内燃机燃烧学国家重点实验室;
- 论文关键词：裂纹叶片 ; 线性时变 ; 参数识别 ; Hilbert变换
- 英文论文关键词：cracked blade ; linear time-varying ; parameter identification ; Hilbert transform
- 会议召开时间：2016-08-12
- 会议录名称：第十六届全国模态分析与试验学术会议论文集
- 语种：中文
- 分类号：V232.4
- 学会代码：ZGZH
- 会议名称：第十六届全国模态分析与试验学术会议
- 会议地点：中国天津
- 主办单位：中国振动工程学会模态分析与试验专业委员会
- 学会名称：中国振动工程学会
- 页数：9
- 文件大小：760k
- 原文格式：D
- 会议级别：全国
摘要
由于裂纹的开合作用,导致损伤叶片的刚度和阻尼具有周期性变化规律,其响应具有非平稳特征。获得准确的时变物理参数,有利于模型建立和故障诊断。以疲劳裂纹悬臂梁为研究对象,用一个具有时变刚度和阻尼的单自由度系统模拟梁的一阶弯曲振动。在强迫振动情况下,假设质量为时不变常数且已知,通过实验测量响应信号和激励信号,利用Hilbert变换的方法进行识别,得到时变刚度和阻尼。根据识别结果进一步对原有物理参数模型进行修正,并在一定范围内探究新模型中参数随外界条件变化情况。
Due to the crack's open-close process,the stiffness and damping of a cracked blade change with periodically time behaving a non-stationary character. Getting the accurate time-varying physical parameters contributes to modeling and fault diagnosis. In this paper,a cracked cantilever beam is investigated. The dynamic behavior of the cracked beam first-order bending vibration is simulated using a simple single degree of freedom lumped parameter system under harmonic excitation. Assuming the mass is known and invariant constant,Hilbert transform method is presented to identify the time-varying stiffness and damping based on the system excitation and the response data. The original physical parameter model is modified based on the experimental results. The change of parameters' estimation in the new model is obtained in different condition.
Due to the crack's open-close process,the stiffness and damping of a cracked blade change with periodically time behaving a non-stationary character. Getting the accurate time-varying physical parameters contributes to modeling and fault diagnosis. In this paper,a cracked cantilever beam is investigated. The dynamic behavior of the cracked beam first-order bending vibration is simulated using a simple single degree of freedom lumped parameter system under harmonic excitation. Assuming the mass is known and invariant constant,Hilbert transform method is presented to identify the time-varying stiffness and damping based on the system excitation and the response data. The original physical parameter model is modified based on the experimental results. The change of parameters' estimation in the new model is obtained in different condition.
引文
[1]肖波.某系列发动机叶片振动问题及解决方法[C]//中国航空学会动力专业分会论文集.北京:中国航空学会动力专业分会,2003.
[2]宋兆泓,陈光,张景武,等.航空发动机典型故障分析[M].北京:北京航空航天大学出版社,1993.
[3]杨海燕,杨秉玉,刘启州.疲劳裂纹叶片振动的非线性特性研究[J].西北工业大学学报,1999,17(2):198-204.
[4]Ismail F,Ibrahim A,Martin H R.Identification of fatigue cracks from vibration testing[J].Journal of Sound and Vibration,1990,140(2):305-317.
[5]Cheng S M,Swamidas A S J,Wu X J,et al.Vibrational response of a beam with a breathing crack[J].Journal of Sound and vibration,1999,225(1):201-208.
[6]Shi Z Y,Law S S.Identification of linear time-varying dynamical systems using Hilbert transform and empirical mode decomposition method[J].Journal of Applied Mechanics,2007,74(2):223-230.
[7]Shi Z Y,Law S S,Xu X.Identification of linear time-varying mdof dynamic systems from forced excitation using Hilbert transform and EMD method[J].Journal of Sound&Vibration,2009,321(321):572-589.
[8]Loutridis S,Douka E,Hadjileontiadis L J.Forced vibration behaviour and crack detection of cracked beams using instantaneous frequency[J].Ndt&E International,2005,38(5):411-419.
[9]陈露,雷明锋.基于时变刚度模型的悬臂梁损伤识别研究[J].铁道科学与工程学报,2014(4):32-38.
[10]胡家顺,冯新,李昕,等.裂纹梁振动分析和裂纹识别方法研究进展[J].振动与冲击,2007,26(11):146-152.
[11]Ruotolo R,Surace C,Crespo P,et al.Harmonic analysis of the vibrations of a cantilevered beam with a closing crack[J].Computers&structures,1996,61(6):1057-1074.
[12]Saavedra P N,Cuitino L A.Crack detection and vibration behavior of cracked beams[J].Computers&Structures,2001,79(16):1451-1459.
[13]陈雪峰,向家伟,何正嘉.悬臂梁结构裂纹参数识别的实验研究[J].振动工程学报,2006,19(3):422-425.
[2]宋兆泓,陈光,张景武,等.航空发动机典型故障分析[M].北京:北京航空航天大学出版社,1993.
[3]杨海燕,杨秉玉,刘启州.疲劳裂纹叶片振动的非线性特性研究[J].西北工业大学学报,1999,17(2):198-204.
[4]Ismail F,Ibrahim A,Martin H R.Identification of fatigue cracks from vibration testing[J].Journal of Sound and Vibration,1990,140(2):305-317.
[5]Cheng S M,Swamidas A S J,Wu X J,et al.Vibrational response of a beam with a breathing crack[J].Journal of Sound and vibration,1999,225(1):201-208.
[6]Shi Z Y,Law S S.Identification of linear time-varying dynamical systems using Hilbert transform and empirical mode decomposition method[J].Journal of Applied Mechanics,2007,74(2):223-230.
[7]Shi Z Y,Law S S,Xu X.Identification of linear time-varying mdof dynamic systems from forced excitation using Hilbert transform and EMD method[J].Journal of Sound&Vibration,2009,321(321):572-589.
[8]Loutridis S,Douka E,Hadjileontiadis L J.Forced vibration behaviour and crack detection of cracked beams using instantaneous frequency[J].Ndt&E International,2005,38(5):411-419.
[9]陈露,雷明锋.基于时变刚度模型的悬臂梁损伤识别研究[J].铁道科学与工程学报,2014(4):32-38.
[10]胡家顺,冯新,李昕,等.裂纹梁振动分析和裂纹识别方法研究进展[J].振动与冲击,2007,26(11):146-152.
[11]Ruotolo R,Surace C,Crespo P,et al.Harmonic analysis of the vibrations of a cantilevered beam with a closing crack[J].Computers&structures,1996,61(6):1057-1074.
[12]Saavedra P N,Cuitino L A.Crack detection and vibration behavior of cracked beams[J].Computers&Structures,2001,79(16):1451-1459.
[13]陈雪峰,向家伟,何正嘉.悬臂梁结构裂纹参数识别的实验研究[J].振动工程学报,2006,19(3):422-425.