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（北京建筑大學(xué)土木與交通工程學(xué)院， 北京 100044）
［摘要］為了研究網(wǎng)架結(jié)構(gòu)桿單元的損傷檢測方法，對網(wǎng)架結(jié)構(gòu)在瞬時(shí)激勵(lì)下的損傷檢測進(jìn)行了數(shù)值模擬分析和試驗(yàn)分析。為了判斷網(wǎng)架結(jié)構(gòu)的損傷桿件位置,選取合適的激勵(lì)方式，設(shè)置了兩種不同的工況進(jìn)行分析，分別提取了結(jié)構(gòu)在損傷前后的時(shí)域信號，運(yùn)用頻響函數(shù)和主成分分析進(jìn)行數(shù)據(jù)處理，選取頻響函數(shù)向量夾角作為結(jié)構(gòu)損傷指標(biāo)。數(shù)值模擬分析時(shí)，提取了結(jié)構(gòu)全部節(jié)點(diǎn)的時(shí)域信號用來判斷損傷桿單元的位置；試驗(yàn)分析時(shí)，在基于節(jié)點(diǎn)應(yīng)變能系數(shù)的傳感器優(yōu)化布置方法的基礎(chǔ)上，提取少量節(jié)點(diǎn)的時(shí)域信號，分兩步逐漸縮小所要檢測的損傷范圍，最終確定損傷桿單元的位置。數(shù)值模擬分析和試驗(yàn)結(jié)果顯示基于頻響函數(shù)與主成分分析的損傷檢測方法可以準(zhǔn)確判斷損傷的桿單元的位置。
［關(guān)鍵詞］損傷檢測； 網(wǎng)架結(jié)構(gòu)； 頻響函數(shù)； 主成分分析
中圖分類號：TU356文獻(xiàn)標(biāo)識碼：A文章編號：1002-848X(2017)04-0096-06
Research on damage detection method for grid structures based on frequency response function and principal component analysis
Wang Menghong， Song Chunyue， Ji Chenmeng
（School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China）
Abstract:In order to study damage detection method for bar element of grid structures, numerical simulation analysis and experimental analysis were carried out for damage detection on grid structure under instantaneous excitation. In order to judge damaged bar member location of the grid structure, the proper excitation method was selected and two working conditions were set to analyze. The time domain signals of the structure before and after damage were extracted respectively. The frequency response function and principal component analysis were used for data processing, and the angle between the frequency response function vectors was selected as a damage index. In the numerical simulation, the time domain signals of all nodes of the structure were extracted to determine damaged bar member location. In the experimental analysis, the time domain signals of a portion of the nodes were extracted on the basis of an optimal sensor placement method of the node strain energy coefficient. The range of damage detection was narrowed gradually in two steps and finally damage bar element location was determined. The results of the numerical simulation and experimental analysis show that the damage detection method based on the frequency response function and principal component analysis can judge damaged bar element location accurately.
Keywords:damage detection; grid structure; frequency response function; principal component analysis
*國家自然科學(xué)基金項(xiàng)目(51578038)。
作者簡介：王孟鴻，博士后，教授，碩士生導(dǎo)師，Email: wangmh@bucea.edu.cn。
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