진동수 영역 모달파라미터-하중 동시추정 기법
Modal Parameter-Load Identification Framework in Frequency Domain
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초록
본 연구에서는 다자유도 시스템의 모달응답으로부터 모달특성과 동시에 외부하중을 추정하는 진동수 영역 기법을 제시한다. 가정된 모달특성에 기반하여 추정된 하중모델을 이론적으로 정립하고 이를 추정하중과 비교하여 모달특성과 하중모델 파라미터를 동시에 식별하는 기법이다. 하중의 스펙트럼의 형상을 고려하여 모달특성을 추정한다는 점에서 외부하중을 백색잡음으로 가정하여 모달 특성을 추정하는 기존 모달식별법과 차별성을 가진다. 본 연구에서 제안된 동시추정기법의 검증을 위하여 단자유도 해석모델 응답에 적용되었다. 검증결과, 본 기법은 모달 파라미터 추정의 신뢰성이 높으며, 응답에 포함된 노이즈에 대한 면역성을 가지는 것으로 나타났다. 하중 모델 차수에 대한 강인성을 가지며, 모델 파라미터를 안정적으로 산정할 수 있음을 알 수 있다. 향후 또한 본 기법은 와류 하중, 버핏팅하중과 같은 다양한 하중 조건에서 적용할 필요가 있다.
Abstract
In this study, a frequency domain framework for estimating simultaneously the modal parameter and input load from the measured (modal) response of multi degree of freedom(MDOF) system is proposed. It is a technique to identify the modal and load model parameters, by theoretically developing a mathematical input model, and comparing it with the identified load from the assumed modal parameters. The proposed technique has inherent difference to the conventional modal identification in that it can effectively treat the shape of the load spectrum. In order to verify the estimation method proposed in this study, it was applied to a SDOF analytic model. From the simulation results, it was found that this technique has high reliability of modal parameter estimation and immunity to noise included in the response. It can be seen that it has robustness to the load model order and can stably estimate the model parameters. Furthermore, it is needed that this technique can be applied in various load conditions such as vortex induced load and buffeting load of full scale structure, later.
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