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基于小波包变换的梁式结构损伤定位方法
引用本文:刘习军,商开然,张素侠,孙良,施睿智.基于小波包变换的梁式结构损伤定位方法[J].实验力学,2015,30(3):305-312.
作者姓名:刘习军  商开然  张素侠  孙良  施睿智
作者单位:天津大学 机械工程学院, 天津 300072;天津大学 机械工程学院, 天津 300072;天津大学 机械工程学院, 天津 300072;天津大学 机械工程学院, 天津 300072;天津大学 机械工程学院, 天津 300072
基金项目:国家自然科学基金(编号51009107);天津市基础重点基金(编号13JCZDJC27100);天津市青年基金(编号13JCQNJC04200)
摘    要:本文针对梁式结构,基于小波包变换理论,提出一种新的损伤定位方法。该方法利用小波包变换将结构的响应分解到不同的模态,引入曲率公式定义了新的小波能量指标,使得能量指标对损伤位置更加敏感。根据工程实际,构造了对应于结构区域的损伤指标。利用D-S证据理论对得到的各阶损伤指标进行数据融合,从而优化了识别结果。通过数值模拟和实验,对新提出的方法进行了验证,结果表明该方法有效,并可应用于工程实际。

关 键 词:小波包变换  损伤定位  D-S证据理论

On the Damage Localization of Beam Structure Based on Wavelet Packet Transform
LIU Xi-jun,SHANG Kai-ran,ZHANG Su-xi,SUN Liang and SHI Rui-zhi.On the Damage Localization of Beam Structure Based on Wavelet Packet Transform[J].Journal of Experimental Mechanics,2015,30(3):305-312.
Authors:LIU Xi-jun  SHANG Kai-ran  ZHANG Su-xi  SUN Liang and SHI Rui-zhi
Institution:School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
Abstract:Aiming at beam structures and based on wavelet packet transform, a new damage localization method is proposed in this paper. This method uses WPT to decompose structure responding signal into different modes, and introduces curvature algorithm to define new WP-energy index, which is more sensitive to damage position. According to engineering practice, the proposed damage indexes corresponding to structure regions were constructed. Then, based on D-S evidence theory, data fusion of obtained each order damage indexes was proceeded, so that the damage detection results were optimized. This newly proposed method was verified through numerical simulation and experiment. Results show that this method can efficiently identify structure damage and is applicable in engineering practice.
Keywords:wavelet packet transform (WPT)  damage localization  D-S evidence theory  experiment
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