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Parametric Identification of Structures with Nonlinearities Using Global and Substructure Approaches in the Time Domain

机译:在时域中使用全局和子结构方法对非线性结构进行参数识别

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This paper presents further research on the parametric identification of structures with non-linearities in stiffness and damping properties. Parametric identification is carried out using acceleration responses in the time domain and is useful for structural health monitoring. Cubic nonlinearities in springs and quadratic nonlinearities in dampers are considered. Structural parametric identification is modeled as an inverse problem, based on minimizing the difference between measured responses and calculated responses from a mathematical model. The results of both global and substructural identification approaches are compared. The substructural approach allows us to identify a smaller domain while ignoring external parameters, resulting in a reduced model, but on the other hand the formulation is more complex. Genetic algorithms (GA) are used for filtering the unknown parameter values from within a given range. Simple real coded GA as well as a superior hybrid version obtained by combining with the Levenberg-Marquardt (LM) have been studied. Several numerical examples, including variations of a 10 DOF non-linear lumped mass system and a 12 member truss with several non-linear tuned mass dampers have been studied. The effect of measurement noise have been considered. The substructural method is shown to be superior overall in terms of speed, accuracy and economy (number of sensors) although the global identification approach implemented in conjunction with hybrid GA performs well in some cases.
机译:本文对刚度和阻尼特性非线性的结构的参数识别提出了进一步的研究。参数识别是使用时域中的加速度响应进行的,对于结构健康状况监视很有用。考虑了弹簧中的三次非线性和阻尼器中的二次非线性。基于最小化测量响应与数学模型计算响应之间的差异,将结构参数识别建模为反问题。比较了全局识别方法和子结构识别方法的结果。子结构方法允许我们在忽略外部参数的情况下识别较小的域,从而简化了模型,但另一方面,公式更复杂。遗传算法(GA)用于过滤给定范围内的未知参数值。研究了简单的实际编码GA以及通过与Levenberg-Marquardt(LM)组合获得的高级混合版本。研究了几个数值示例,包括10 DOF非线性集总质量系统和带有多个非线性调谐质量阻尼器的12构件桁架的变形。已经考虑了测量噪声的影响。在速度,准确性和经济性(传感器数量)方面,虽然在某些情况下结合全局GA实施的全局识别方法表现良好,但子结构方法在总体上表现出优越的性能。

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