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大学・研究所にある論文を検索できる 「Identification of maximum inter-story drift of multi-degree-of-freedom shear structures using only one accelerometer (本文)」の論文概要。リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

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Identification of maximum inter-story drift of multi-degree-of-freedom shear structures using only one accelerometer (本文)

徐, 康乾 慶應義塾大学

2022.03.23

概要

The inter-story drift estimation is one of the main aspects of structural health monitoring (SHM) since the inter-story drift can provide important evidence to assess structures. In our research, only one accelerometer is used in sensing network to simplify the SHM systems, reducing the installation and maintenance cost. First, the absolute acceleration and relative displacement are formulated in modal coordinates and a state-space representation is derived. Then a variant of the Kalman filter is introduced to achieve the task. Verified by a simple numerical simulation, the performance of the state-space equation and Kalman filter is satisfactory.

However, when a multi-degree-of-freedom (MDOF) shear structure is excited by seismic excitation, the modal parameters of the system may shift and become unknown. It is not easy to accurately re-identify the changed unknown modal parameters from the response recorded by one sensor. In this case, this thesis presents methods to estimate the time histories of the relative displacement and maximum inter-story drift of the structure from the one measured absolute response.

First, the cases where the connections between structural and non-structural members become loose or slight structural damages arise are considered. In the circumstances, the natural frequencies shift from their initial values that are identified from the healthy state of the structure, while the change of mode shapes and damping ratios are omitted. A scheme to reduce the error arising from shifts in the structural frequencies is devised that uses the genetic algorithm (GA) and a reasonably chosen fitness function. The results of numerical simulations and a laboratory experiment indicate that the proposed approach can accurately estimate the time histories of the relative displacements and maximum inter-story drifts of all floors of the structure in the case of a significant change in natural frequencies and a large search range of GA variables.

Secondly, severe damage case of the structure is taken into account. At this point, the mode shapes significantly alter. If the mode shapes identified from the original system are still employed, a huge estimation error will arise. The GA with a reasonable fitness function is used to determine the unknown natural frequencies of the severely damaged structure, and the mode shapes are updated by solving a set of nonlinear equations with respect to each group of frequency variables in the GA. Verified by examples, the proposed method is capable of estimating the relative displacement and peak inter-story drift of the first floor even the structure is seriously damaged

The calculation based on the data of one sensor using a conventional method is unstable, and when modal coordinates are used, higher modes should be included, which is different from the estimation based on the responses recorded by many accelerometers. However, the parameters of the higher modes of structures are difficult to obtain from structures under small excitation. To overcome this difficulty, the recorded absolute acceleration is converted into the absolute displacement, and absolute displacement-based state-space expression is formulated. Then numerical simulations and a shaking-table experiment are conducted. The results indicate that the proposed method can accurately estimate the time histories of the relative displacements and maximum inter-story drift of all floors when one accelerometer is used and just the first two modal parameters are incorporated in the model.

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