스펙트럼 백색화에 근간한 모달-하중모델 파라미터 동시 추정법
Concurrent Estimation of Modal-Load Model Parameters Based on the Spectrum Whitening Framework
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초록
구조물에 작용하는 바람하중을 정량적으로 예측하는 것을 거의 불가능하다. 그러나 그 하중이 백색잡음으로부터 재생될 수 있다는 가정은 동적해석을 위한 수치시뮬레이션에 매우 유용할 뿐만 아니라 역해석과정에서 바람하중에 대한 유일 해를 추정할 수 있 는 가능성을 높일 수 있는 추가적인 구속조건을 제공한다는 측면에서 매우 유리하다. 그러한 가정에 의하여, 구조물 응답에 영향을 미 치는 동적특성과 하중특성(하중모델)을 차례로 제거하고 나면 순수한 백색잡음만 남게 되므로 이러한 백색화과정을 통하여 구조물의 동적 특성과 하중특성을 동시에 추정할 수 있는 방안을 모색할 수 있을 것이다. 본 연구에서는 스펙트럼 백색화과정을 통하여 구조물 의 모달 파라미터와 모달하중(하중모델을 구성하는 파라미터)을 동시에 추정하는 새로운 역해석 기법을 제안한다. 백색화과정을 모달 응답에 적용하여 모달 파라미터과 하중모델 파라미터를 구하는 과정을 유도하였으며, 제안된 동시 추정기법을 단자유도 모형, 공탄성 모델에 대한 풍동실험에 적용하여 모달파라미터 특히 감쇠비추정의 신뢰성을 검증하였으며, 그 결과 신뢰도가 높은 모달 파라미터, 하 중모델 파라미터 추정이 가능함을 알 수 있었다.
Abstract
It is almost impossible to quantitatively predict wind loads acting on structures. However, the assumption that the load can be generated from a white noise is very benefit in that it is not only very useful for numerical simulations for dynamic analysis, but also provides additional constraints that can increase the likelihood of estimating the unique solution in the inverse analysis. Based on this assumption, by removing the dynamic and loading transfer function that affect the structural response in turn, only pure white noise is left, so it is possible to provide an opportunity to estimate the dynamic and loading characteristics(modal and load model parameter) of the structure simultaneously through this whitening process. In this study, a new inverse analysis technique is proposed to simultaneously estimate the modal parameters of the structure and the load model parameters through spectral whitening. The proposed concurrent estimation framework is applied to a single degree of freedom system and wind tunnel test for a rectangular shape aeroelastic model to verify the applicability of the proposed estimation technique. From the results for the two applications, it is shown that the proposed framework provide highly reliable estimation of modal parameters and load model parameters.
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