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针对大型复杂结构的整体监测常常面临测量信息不足等困难,提出只利用局部动态响应进行子结构损伤识别的约束子结构方法。约束子结构方法是通过子结构响应的卷积组合限制子结构边界的响应为零,来实现施加虚拟支座,从而将子结构分离出整体,然后利用构造的相应子结构内部响应,进行子结构损伤识别。该文利用先分段提取结构响应的子时间序列,再延时排列Toeplitz矩阵的方式,使基于不同响应的构造约束子结构的方程具有相同表达式,统一了约束子结构方法的基本思想。通过测量悬臂梁的局部动力响应,利用局部响应的时间序列实现了子结构的快速准确地分离和识别,验证了方法的实用性和有效性。
For the large-scale complex structure of the overall monitoring is often faced with the lack of measurement information and other difficulties, proposed only using local dynamic response substructure damage identification substructure method. Constraint substructure method is through the convolution of the sub-structure response confine the sub-structure boundary response is zero, to achieve the application of virtual support, so that the substructure separated from the whole, and then use the structure of the corresponding sub-structure of the internal response substructure Damage identification. In this paper, the sub-time series of structural responses are extracted first and then the Toeplitz matrices are arranged in a time-delayed manner. The equations based on different responses that construct constrained substructures have the same expressions and the basic ideas of constrained substructures are unified. By measuring the local dynamic response of the cantilever beam and using the local response time series, the substructure is quickly and accurately separated and identified, which verifies the practicability and effectiveness of the method.