基于关联维数的超声Lamb波损伤成像
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摘要
研究了混沌分形理论的一种特征参数——关联维数的定义计算及参数选择。提出了一种基于关联维数的板状复合材料超声兰姆(Lamb)波损伤检测方法。通过计算采集健康与无损信号的关联维数,对比其数据差异,作为一种损伤指标,用于概率成像算法的损伤位置定位成像。利用有限元分析进行模拟实验研究,结果表明,提出的算法能准确对复合材料脱层缺陷进行定位成像。
The correlation dimension is a kind of characteristic parameter of the chaotic system,the definition,parameter selectionand calculation of the correlation dimension was researched in this paper.Anultrasonic Lamb wave damage detection method for the plate composite material based on the correlation dimension was proposed.By calculating the correlation dimensions of collecting the healthy and lossless signals,and comparing the difference between them,the data difference is used as a damage index for the damage location imaging of the probabilistic imaging algorithm.The finite element analysis is used to simulate the experiment,and the experiment investigation shows that the proposed probabilistic algorithm can accurately locate the delamination defects of composite materials.
The correlation dimension is a kind of characteristic parameter of the chaotic system,the definition,parameter selectionand calculation of the correlation dimension was researched in this paper.Anultrasonic Lamb wave damage detection method for the plate composite material based on the correlation dimension was proposed.By calculating the correlation dimensions of collecting the healthy and lossless signals,and comparing the difference between them,the data difference is used as a damage index for the damage location imaging of the probabilistic imaging algorithm.The finite element analysis is used to simulate the experiment,and the experiment investigation shows that the proposed probabilistic algorithm can accurately locate the delamination defects of composite materials.
引文
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[13]贾子文.机械振动故障诊断中分形维数算法的研究[D].北京:华北电力大学,2013.
[2]张移山,王遵,王智.基于Lamb波的修补后损伤结构健康监测方法的试验研究[J].机械科学与技术,2015(12):1971-1974.ZHANG Yishan,WANG Zun,WANG Zhi.Experimental research on health monitoring of cracked structure repaired by composite patch using Lamb waves[J].Mechanical Science and Technology for Aerospace Engineering,2015(12):1971-1974.
[3]李红,赵振宇,王庆丰,等.基于Lamb波的船用复合材料板损伤检测试验研究[J].江苏科技大学学报(自然科学版),2016(6):542-546.LI Hong,ZHAO Zhenyu,WANG Qingfeng,et al.Test research of Lamb waves detection damage in composite material[J].Journal of Jiangsu University of Science and Technology(Natural Science Edition),2016,(6):542-546.
[4]郝研.分形维数特性分析及故障诊断分形方法研究[D].天津:天津大学,2012.
[5]郝研,王太勇,万剑,等.分形盒维数抗噪研究及其在故障诊断中的应用[J].仪器仪表学报,2011(3):540-545.HAO Yan,WANG Taiyong,WAN Jian,et al.Research on fractal box dimension anti-noise performance and its application in fault diagnosis[J].Chinese Journal of Scientific Instrument,2011(3):540-545.
[6]付强,李晨溪,张朝曦.关于G-P算法计算混沌关联维的讨论[J].解放军理工大学学报(自然科学版),2014(3):275-282.FU Qiang,LI Chenxi,ZHANG Zhaoxi.G-P algorithm for evaluating the correlation dimension in chaos[J].Journal of PLA University of Science and Technology(Natural Science Edition),2014(3):275-282.
[7]张小明,刘建敏,乔新勇,等.时间序列关联维数快速算法及实现[J].装甲兵工程学院学报,2007(6):58-61.ZHANG Xiaoming,LIU Jianmin,QIAO Xinyong,et al.Fast algorithm for calculating the correlation dimension of time series[J].Journal of Academy of Armored Force Engineering,2007(6):58-61.
[8]王基,杨爱波,刘树勇,等.改进的时间序列关联维数快速算法[J].华中科技大学学报(自然科学版),2012(10):101-104.WANG Ji,YANG Aibo,LIU Shuyong,et al.Improved fast algorithm to calculate correlation dimension of time series[J].Journal of Huazhong University of Science and Technology(Natural Science Edition),2012(10):101-104.
[9]孙虎.航空结构中Lamb波传播的谱有限元模拟及损伤识别技术研究[D].南京:南京航空航天大学,2014.
[10]王强,严夏君,陈小惠,等.无基准Lamb波时间反转损伤概率成像监测方法[J].仪器仪表学报,2013(7):149-155.WANG Qiang,YAN Xiajun,CHEN Xiaohui,et al.Baseline free Lamb wave damage probability imaging monitoring method based on time reversal theory[J].Chinese Journal of Scientific Instrument,2013(7):149-155.
[11]RAHIM G.Lamb波诊断概率成像技术研究[D].大连:大连理工大学,2014.
[12]王成栋,凌丹,苗强.分形无标度区的一种自动识别方法[J].计算机工程与应用,2012(6):9-12.WANG Chengdong,LING Dan,MIAO Qiang.Automatic identification method of fractal scaling region[J].Computer Engineering and Applications,2012(6):9-12.
[13]贾子文.机械振动故障诊断中分形维数算法的研究[D].北京:华北电力大学,2013.