Journal of the Earthquake Engineering Society of Korea (한국지진공학회논문집)

Earthquake Engineering Society of Korea (한국지진공학회)
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Damage Detection of Structures using Peak and Zero of Frequency Response Functions

주파수 응답함수의 피크와 제로를 이용한 구조물의 손상탐지

  • 박수용 (한국해양대학교 해양공간건축학부)
  • Published : 2007.04.30
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Abstract

In this paper, a technique to detect structural damage and estimate its severity using peaks and zeros of frequency response functions (FRFs) is developed. The peaks in FRFs represent the natural frequencies of the structure and the zeros provide additional information. The characteristics of peaks and zeros are defined and the calculation procedure to obtain the peaks and zeros from the relationship between frequency response function and stiffness and mass matrices are clearly explained. A structural system identification theory which is utilizing the sensitivity of stiffness of a structural member to eigenvalues, i.e., peaks and zeros, is established. The proposed method can identify damage location and its severity, with natural and zero frequencies, by estimating structural stiffness of the structure in the process of making a analytical model The accuracy and feasibility is demonstrated by numerical models of a spring-mass system and a beam structure.

본 논문에서는 주파수 응답함수에서의 고유진동수를 나타내는 피크와 추가적 정보를 제공하는 제로를 이용하여 구조물의 손상탐지와 손상도를 추정할 수 있는 기법을 개발하였다. 주파수 응답함수의 이론적 고찰을 통하여 주파수 응답함수 내의 피크와 제로를 정의하고, 강성 및 질량행렬, 주파수 응답행렬의 상관관계로부터 고유치 해석을 통하여 피크와 제로를 구하는 방법을 상세히 설명하였다. 부재 강성의 고유치(피크 및 제로)에 대한 민감도 분석을 이용한 구조계 추정기법의 이론을 정립하였다. 본 연구에서 제안한 기법은 고유 진동수 및 제로진동수를 이용하여 구조부재의 강성을 역으로 추정하여 실제 구조물과 가장 근접한 수치해석 모델을 만드는 것으로 이 과정에서 손상의 위치와 손상도를 추정할 수 있다. 제안한 이론의 정확성과 타당성은 스프링-매스 시스템과 보구조물의 수치해석 모델에 적용하여 입증하였다.

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References

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