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用于結(jié)構(gòu)位移場重構(gòu)的逆有限元法研究

發(fā)布時間:2018-08-20 12:25
【摘要】:隨著空間科學(xué)技術(shù)的逐步發(fā)展,空間結(jié)構(gòu)中的撓性部件增多,這些空間結(jié)構(gòu)需要在運行時間內(nèi)維持很高的形狀精度。為了時刻了解掌握空間結(jié)構(gòu)的工作性能,必須對撓性部件進行結(jié)構(gòu)健康監(jiān)測。結(jié)構(gòu)健康監(jiān)測中的位移重構(gòu)是通過一系列傳感器,以埋入或表面粘貼的形式安置于結(jié)構(gòu)上,獲取結(jié)構(gòu)在定時取樣時的動態(tài)響應(yīng)的測量值,從中提取特征因子,計算對損傷的敏感度,并統(tǒng)計分析該類特征因子,從而判斷結(jié)構(gòu)的健康狀況。結(jié)構(gòu)健康監(jiān)測系統(tǒng)通過對結(jié)構(gòu)進行實時在線的連續(xù)監(jiān)測,檢查并探測結(jié)構(gòu)的損傷程度,最終通過遠程或者局域網(wǎng)絡(luò),自動地報告結(jié)構(gòu)的狀態(tài),是一種自動的系統(tǒng)。本文以用于梁、板結(jié)構(gòu)的逆有限元法為理論基礎(chǔ),闡述了逆有限元法的理論推導(dǎo)和實體分析的結(jié)果對比。根據(jù)正向有限元理論,建立了有限元法中的八節(jié)點六面體單元,并加入了加強型假定應(yīng)變的有限元列式。在此基礎(chǔ)上,提出了一種新的逆有限元理論推導(dǎo)方法,該方法應(yīng)用ABAQUS計算的應(yīng)變?yōu)椤皩嶒灁?shù)據(jù)”,應(yīng)用最小二乘法讓理論數(shù)據(jù)與實驗數(shù)據(jù)逼近,得出結(jié)構(gòu)的位移場。與基于傳統(tǒng)有限元算法的計算結(jié)果進行了對比分析,得出新方法所得到的位移結(jié)果與高密度網(wǎng)格有限元法得到的計算結(jié)果誤差在5%以內(nèi),實現(xiàn)全面的結(jié)構(gòu)健康監(jiān)測。
[Abstract]:With the development of space science and technology, the number of flexible components in space structures is increasing. These space structures need to maintain high shape accuracy during operation time. In order to understand the working performance of spatial structure, it is necessary to monitor the structure health of flexible parts. Displacement reconstruction in structural health monitoring is based on a series of sensors, which are embedded or pasted on the structure to obtain the measured values of the dynamic response of the structure during the timing sampling, from which the characteristic factors are extracted. The sensitivity of the damage was calculated and the characteristic factors were statistically analyzed to judge the health status of the structure. The structural health monitoring system is an automatic system for automatically reporting the state of the structure through remote or local network by monitoring the structure continuously in real time and on-line, checking and detecting the damage degree of the structure and finally reporting the state of the structure automatically through the remote or local network. Based on the inverse finite element method for beam and plate structure, the theoretical derivation of the inverse finite element method and the comparison of the results of solid analysis are presented in this paper. According to the forward finite element theory, the eight-node hexahedron element in the finite element method is established, and the finite element formula of the enhanced assumed strain is added. On this basis, a new inverse finite element theoretical derivation method is proposed, in which the strain calculated by ABAQUS is regarded as "experimental data", and the displacement field of the structure is obtained by using the least square method to approximate the theoretical data and experimental data. The calculated results are compared with those based on the traditional finite element method. The results of displacement obtained by the new method are less than 5% compared with those obtained by the high density finite element method.
【學(xué)位授予單位】:南京航空航天大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2016
【分類號】:O241.82

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