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(1 西安建筑科技大學(xué)土木工程學(xué)院， 西安 710055；2 上海百通項(xiàng)目管理咨詢有限公司， 上海 200127)

［摘要］利用有限元分析軟件建立了木梁的損傷模型，獲取了不同損傷參數(shù)的曲率模態(tài)；基于結(jié)構(gòu)動(dòng)力學(xué)中梁自由振動(dòng)的理論，推導(dǎo)了木梁基于曲率模態(tài)的損傷程度判定理論；對(duì)人工模擬的損傷木梁進(jìn)行了模態(tài)試驗(yàn)。結(jié)果表明：曲率模態(tài)對(duì)損傷識(shí)別非常敏感，損傷位置可通過(guò)曲率模態(tài)圖的突變判定，損傷程度可以根據(jù)突變程度判定；模態(tài)分析試驗(yàn)結(jié)果與有限元分析結(jié)果吻合較好；有限元算例和模態(tài)試驗(yàn)驗(yàn)證了損傷程度判定理論公式的適用性，采用曲率模態(tài)技術(shù)對(duì)木梁進(jìn)行損傷檢測(cè)是有效可行的。 

［關(guān)鍵詞］損傷木梁；曲率模態(tài)；有限元模型；損傷識(shí)別；理論推導(dǎo) 

中圖分類號(hào)：TU366-2 文獻(xiàn)標(biāo)識(shí)碼：A文章編號(hào)：1002-848X(2021)18-0125-07

 Damage recognition of timber beam based on curvature modal technology 

XIE  Qifang1,  ZHANG  Baozhuang1,  ZHU  Junlong2,  JI  Yitong1 

(1 School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an 710055， China；2 Shanghai Baitong Project Management Consulting, Co., Ltd., Shanghai 200127， China) 

Abstract:The damage model of timber beam was established by finite element analysis software, and the curvature modes of different damage parameters were obtained. Based on the theory of free vibration of beam in structural dynamics, the damage degree judgment theory of timber beam based on curvature mode was deduced. The mode test of the damaged timber beams by artificial simulation was carried out. The results show that curvature mode is very sensitive to damage recognition, the damage location can be accurately determined by the sudden change of the curvature mode diagram, the damage degree can be determined by the sudden change degree. The curvature modes obtained from the modal test are agree with those obtained from the finite element analysis. The applicability of the theoretical formulas for judging damage degree is verified by finite element examples and modal tests, it is feasible and effective to use curvature mode technology to recognise damage  of timber beams.  

Keywords:damaged timber beam； curvature mode； finite element model； damage recognition； theoretical derivation

*國(guó)家自然科學(xué)基金項(xiàng)目（51878550），陜西省杰出青年科學(xué)基金項(xiàng)目（2021JC-44）。

 作者簡(jiǎn)介：謝啟芳，博士，教授，博士生導(dǎo)師，Email: nacy.xie@163.com。