Enhancing operational performance assessment of structures with seismic response modification devices: The role of observability and symmetry analysis under limited sensor deployment

IF 4.3 2区 工程技术 Q1 ENGINEERING, CIVIL
Xinhao He, Yu Lin, Dan Li, Shigeki Unjoh
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引用次数: 0

Abstract

To manage structural responses under various external forces, the increasing incorporation of seismic isolation and supplementary damping systems in modern civil engineering necessitates post-installation performance assessments. The challenge of accurately inferring system information from these complex dynamical structures, especially with limited sensor deployment, could be significant. From the perspective of solving inverse problems, this challenge hinges on constructing an input-output mapping that assures unique solutions, achievable through theoretical observability or symmetry analysis. We introduce a unified algorithm framework designed to accommodate various definitions of Lie derivatives, specifically for observability and symmetry analysis in dynamic systems with affine, non-affine, and unknown inputs—capabilities not fully achieved in previous studies. We demonstrate its application across typical dynamic scenarios, including both linear and nonlinear examples. We also present a numerical example featuring complex isolation systems with limited sensor layouts, illustrating how uniform convergence can be achieved in estimating all system states when an observable input-output mapping is utilized. Furthermore, an experimental example employing shaking table tests showcases the potential complications that arise when an unobservable input-output mapping is used.

Abstract Image

利用地震反应修正装置加强结构的运行性能评估:有限传感器部署下的可观测性和对称性分析的作用
为了管理各种外力作用下的结构响应,现代土木工程中越来越多地采用了隔震和辅助阻尼系统,这就需要进行安装后的性能评估。要从这些复杂的动态结构中准确推断出系统信息,尤其是在传感器部署有限的情况下,可能会面临巨大的挑战。从解决逆问题的角度来看,这一挑战取决于构建一个输入输出映射,以确保通过理论可观测性或对称性分析实现唯一的解决方案。我们引入了一个统一的算法框架,旨在适应各种李导数的定义,特别适用于具有仿射、非仿射和未知输入的动态系统中的可观测性和对称性分析--这些能力在以往的研究中并未完全实现。我们展示了其在典型动态场景中的应用,包括线性和非线性示例。我们还介绍了一个以传感器布局有限的复杂隔离系统为特色的数值示例,说明了在利用可观测的输入输出映射时,如何在估计所有系统状态时实现均匀收敛。此外,一个采用振动台测试的实验示例展示了在使用不可观测的输入输出映射时可能出现的复杂情况。
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来源期刊
Earthquake Engineering & Structural Dynamics
Earthquake Engineering & Structural Dynamics 工程技术-工程:地质
CiteScore
7.20
自引率
13.30%
发文量
180
审稿时长
4.8 months
期刊介绍: Earthquake Engineering and Structural Dynamics provides a forum for the publication of papers on several aspects of engineering related to earthquakes. The problems in this field, and their solutions, are international in character and require knowledge of several traditional disciplines; the Journal will reflect this. Papers that may be relevant but do not emphasize earthquake engineering and related structural dynamics are not suitable for the Journal. Relevant topics include the following: ground motions for analysis and design geotechnical earthquake engineering probabilistic and deterministic methods of dynamic analysis experimental behaviour of structures seismic protective systems system identification risk assessment seismic code requirements methods for earthquake-resistant design and retrofit of structures.
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