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Model Updating of a RC Frame Building using Response Surface Method and Multiobjective Optimization

반응표면법 및 다목적 최적화를 이용한 철근콘크리트 건물모델의 모델 개선

  • Lee, Sang-Hyun (Department of Architectural Engineering, Hanyang Univ.) ;
  • Yu, Eunjong (Department of Architectural Engineering, Hanyang Univ.)
  • Received : 2016.10.26
  • Accepted : 2016.11.07
  • Published : 2017.02.28

Abstract

In this paper, a model updating procedure based on the response surface method combined with the multi-objective optimization was proposed and applied for updating of the FE models representing a low-rise reinforced concrete building before and after the seismic retrofit. The dynamic properties to be matched were obtained from vibration tests using a small shaker system. By varying the structural parameters according to the central composite design, analysis results from the initial FE model using a commercial software were collected and used to produce two regression functions each of which representing the errors in the natural frequencies and mode shapes. The two functions were used as the objective functions for multi-objective optimization. Final solution was determined by examining the Pareto solutions with one iteration. The parameters representing the stiffnesses of existing concrete, masonry, connection stiffness in expansion joint, new concrete, retrofitted members with steel section jacketing were selected and identified.

본 논문에서는 반응표면법과 다목적최적화 기법을 이용한 유한요소모델개선기법의 절차를 제안하고 이를 저층의 철근콘크리트건물의 모델개선에 적용하였다. 대상건물은 전단벽 신설 및 댐퍼부착을 위한 부재의 강재보강을 통해 내진보강이 이루어진 건물로서 보강전후에 소형 가진기를 이용한 진동실험을 실시하여 동특성을 구하였다. 대상건물의 개선에 사용된 변수는 기존콘크리트, 신규타설된 콘크리트, 조적의 탄성계수, 신축줄눈부의 스프링계수, 강재보강된 부재의 유효강성비이다. 보강전후 건물의 초기모델을 구축한 후 중심합성법에 따라 개선변수의 값을 변화시키면서 얻은 해석결과를 통해 고유진동수의 오차와 모드형상의 오차를 나타내는 2개의 반응함수를 구하고, 이를 다목적최적화의 목적함수로 사용하였다.

Keywords

References

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