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A Regression-Based Estimation of Strain Distribution for Safety Monitoring of the Steel Girder Subjected to Uncertain Loads

불확실한 하중을 받는 강재 보 구조물 안전도 모니터링을 위한 변형률 분포의 회귀 분석적 추정

  • Received : 2012.11.14
  • Accepted : 2013.02.13
  • Published : 2013.03.30

Abstract

To evaluate the safety of a beam structure, strains are measured as an indicator of structural states. However, unless strain sensors are installed exactly on where maximum or other representative strains occur, the techniques by which rational assessment through measured strains is accomplished are required. Thus, this study suggests a process to estimate strain distribution on the steel beam from discrete strains measured by sensors. In the presented technique, the targeted beam is regarded to be subjected to unknown loads so that applicability is enhanced. Final strain distribution is given as form of a function after regression analysis. To verify the performance of estimation, a bending test for steel beam on which distributed and concentrated loads simultaneously act is conducted. From the comparison between estimated and directly measured strains in the test, the curve of strain distribution and the strain at arbitrary location could be predicted within maximum relative error 3.32% and maximum absolute error of $2.32{\mu}{\varepsilon}$, respectively. Thus reliable and practical monitoring is expected to apply effectively for the steel beam structure.

보 구조물의 안전성을 평가하기 위해서, 해당 부재의 구조적 상태를 보여주는 보여줄 수 있는 변형률을 기반으로 한 모니터링 시스템이 이용되고 있다. 하지만 최대 변형률과 같은 부재의 상태를 대표할 수 있는 변형률이 발생하는 정확한 위치에 센서를 설치하지 않은 한, 계측된 변형률을 토대로 합리적인 평가를 할 수 있게 하는 추가적인 프로세스가 필요하다. 이에 따라 본 연구는 변형률계에 의해 계측된 이산데이터를 이용하여 강재 보 구조물의 변형률 분포를 추정하는 기법을 제안한다. 본 기법에서는 보 구조물에 작용하는 하중을 미지의 하중으로 가정하였기 때문에, 실제 적용성을 향상 시켰다. 최종적인 변형률 분포는 회귀 분석을 통해서 함수 형태로 주어진다. 본 기법을 이용한 추정 성능을 검증하기 위해서 분포하중, 집중하중, 모멘트가 동시에 작용하는 강재 보 구조물의 휨 실험을 수행하였다. 실험을 통해 추정 변형률의 값을 직접 계측한 값과 비교해 본 결과, 임의의 위치에서도 절대 오차 $2.32{\mu}{\varepsilon}$ 이내로 변형률을 추정할 수 있었으며, 전체 변형률 분포는 3.32% 이내의 상대오차로 얻을 수 있었다. 따라서 강재 보 모니터링 시스템에 효과적으로 적용할 수 있을 것으로 기대된다.

Keywords

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  1. A Strain based Load Identification for the Safety Monitoring of the Steel Structure vol.18, pp.2, 2014, https://doi.org/10.11112/jksmi.2014.18.2.064