用于结构位移场重构的逆有限元法研究
发布时间：2018-08-20 12:25
【摘要】：随着空间科学技术的逐步发展,空间结构中的挠性部件增多,这些空间结构需要在运行时间内维持很高的形状精度。为了时刻了解掌握空间结构的工作性能,必须对挠性部件进行结构健康监测。结构健康监测中的位移重构是通过一系列传感器,以埋入或表面粘贴的形式安置于结构上,获取结构在定时取样时的动态响应的测量值,从中提取特征因子,计算对损伤的敏感度,并统计分析该类特征因子,从而判断结构的健康状况。结构健康监测系统通过对结构进行实时在线的连续监测,检查并探测结构的损伤程度,最终通过远程或者局域网络,自动地报告结构的状态,是一种自动的系统。本文以用于梁、板结构的逆有限元法为理论基础,阐述了逆有限元法的理论推导和实体分析的结果对比。根据正向有限元理论,建立了有限元法中的八节点六面体单元,并加入了加强型假定应变的有限元列式。在此基础上,提出了一种新的逆有限元理论推导方法,该方法应用ABAQUS计算的应变为“实验数据”,应用最小二乘法让理论数据与实验数据逼近,得出结构的位移场。与基于传统有限元算法的计算结果进行了对比分析,得出新方法所得到的位移结果与高密度网格有限元法得到的计算结果误差在5%以内,实现全面的结构健康监测。
[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.
【学位授予单位】：南京航空航天大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：O241.82
本文编号：2193598
[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.
【学位授予单位】：南京航空航天大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：O241.82
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