结合传感器布置设计的综合参数辨识方法

Yiqian Li, Z. Xiang, M. Zhou, Z. Cen
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引用次数: 11

摘要

基于现场测量的材料参数识别在工程中具有十分重要的意义。由于测量过程中不可避免地存在噪声,且参数辨识本身就存在病态,因此有必要考虑一些方法来稳定辨识过程。一种选择是合理设计传感器的位置,这在过去的30年里引起了人们的广泛关注。现有的传感器布局设计方法大多基于一定的灵敏度分析,通常需要对给定参数求雅可比矩阵。然而,此时参数的“真实”值是未知的,因为传感器放置设计是在参数识别之前进行的。因此,必须使用粗略估计的“真实”参数,并且可以获得较少的最优传感器放置。为了解决这一问题,本文提出了一种参数辨识与传感器放置设计交替进行的集成方法。通过两个简单的理论算例说明了该方法的有效性。并将其应用于实际公路桥梁的损伤检测中。版权所有©2007 John Wiley & Sons, Ltd
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An integrated parameter identification method combined with sensor placement design
Material parameter identification based on in situ measurements plays a very important role in engineering. Since noises are inevitable in measurements and the parameter identification is inherently ill posed, it is necessary to consider some methods to stabilize the identification procedure. One choice is properly designing the sensor placement, which has attracted much attention over the past 30 years. Most existing sensor placement design methods are based on certain sensitivity analysis, which commonly requires evaluating Jacobian matrix for given parameters. However, the ‘true’ values of parameters are unknown at that moment, because sensor placement design is carried out before the parameter identification. Consequently, roughly estimated ‘true’ parameters have to be used and less optimal sensor placement could be obtained. To solve this problem, this paper presents an integrated method in which the parameter identification and sensor placement design are carried out alternatively. The validity of the proposed method is illustrated by two simple academic examples. Then it is implemented to detect damages in a real highway bridge. Copyright © 2007 John Wiley & Sons, Ltd.
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