• 제목/요약/키워드: Frequency Response Function (FRF)

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둔턱 진행 차량의 주파수응답 분석 (FRF Analysis of a Vehicle Passing the Bump Barrier)

  • 김종도;윤문철
    • 융합정보논문지
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    • 제12권3호
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    • pp.151-157
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    • 2022
  • 차량의 진행을 근사화한 외부 가진력을 고려한 강제 진동에서의 주파수 특성을 알아보고자 하였고, 다양한 가진 진폭과 주파수를 갖는 외력이 작용하면서 차량이 둔턱을 넘어갈 때에 차량에서 일어나는 주파수 영역의 진동특성을 분석하였다. 응답은 수치해석을 통하여 변위, 속도 및 가속도 등의 응답을 구하였고 이들을 FFT 처리하여 각 시간 응답의 FRF(Frequency response function) 주파수 특성을 분석하였다. 특히, 차량 고유모드와 외부 가진 모드의 발생 위치를 확실하게 비교하여 밝혔고 외부 가진력에 의한 강제진동 모델에서 변위, 속도 및 가속도의 거동과 주파수 응답함수에서의 고유모드의 위치와 주변의 가진 모드 분포 및 파워 스펙트럼, 실수부와 허수부의 FRF도 나타났으며 각 FRF에서 근접 모드 특성도 분석하였다. 외부 가진력으로 정현파의 가진력과 임펄스 가진력에 의한 둔턱 주파수를 고려하여 가정한 근사 모델에서 발생 모드를 구별할 수 있었다. 상당하는 질량, 감쇠 및 강성을 변화하는 여러 시스템에서 강제진동의 응답특성을 체계적으로 다루었다.

Structural damage detection using a damage probability index based on frequency response function and strain energy concept

  • Bagherahmadi, Seyed Ahdiye;Seyedpoor, Seyed Mohammad
    • Structural Engineering and Mechanics
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    • 제67권4호
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    • pp.327-336
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    • 2018
  • In this study, an efficient damage index is proposed to identify multiple damage cases in structural systems using the concepts of frequency response function (FRF) matrix and strain energy of a structure. The index is defined based on the change of strain energy of an element due to damage. For obtaining the strain energy stored in elements, the columnar coefficients of the FRF matrix is used. The new indicator is named here as frequency response function strain energy based index (FRFSEBI). In order to assess the performance of the proposed index for structural damage detection, some benchmark structures having a number of damage scenarios are considered. Numerical results demonstrate that the proposed index even with considering noise can accurately identify the actual location and approximate severity of the damage. In order to demonstrate the high efficiency of the proposed damage index, its performance is also compared with that of the flexibility strain energy based index (FSEBI) provided in the literature.

주파수응답함수(FRF)를 이용한 자기 애자의 손상평가 (Damage Evaluation of Porcelain Insulators Using the Frequency Response Function)

  • 최인혁;손주암;오태근;윤영근
    • 한국전기전자재료학회논문지
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    • 제32권2호
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    • pp.122-128
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    • 2019
  • Porcelain insulators have been used mainly for power line fixing and electrical insulation in transmission towers. Porcelain insulators have generally a 30 years desired life, but over 50% exceed their life expectancy. Since the damage to porcelain insulators is usually accompanied by enormous loss of human resource material, their efficient maintenance has emerged as an important issue. In this regard, this study applied a frequency response function (FRF) for integrity assessment of the insulator. The characteristics of the FRF according to damage types were identified and analyzed by the change in natural frequencies, curve shape, attenuation, and Nyquist diagram stability. The results showed significant differences in the FRF according to damage types, which can be used as basic data for the effective integrity assessment of porcelain insulators.

주파수 응답함수를 이용한 콘크리트 슬래브 가속도 및 바닥충격소음 예측 (Prediction of Concrete Slab Acceleration and Floor Impact Noise Using Frequency Response Function)

  • 문대호;박홍근;황재승
    • 한국소음진동공학회논문집
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    • 제24권6호
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    • pp.483-492
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    • 2014
  • Uncomfortable feelings of occupants by indoor floor impact noise in a residential building are not accurately represented by the floor impact noise from a standard impact source. It is due to the characteristics of standard impact sources, which are different from the impact forces produced by occupants. It varies significantly by impact source, and it is not easy to be replicated for testing. As a result, the indoor floor impact noise under different acoustic conditions cannot be directly compared. Using frequency response function(FRF), which represents the input-output relationships of a dynamic system, it is possible to examine the characteristics of the system. Especially, FRF can predict the response of a linear dynamic system subjected to various excitation. To determine the relationship between impact force and the corresponding response of dynamic system in residential building, the acceleration response of a concrete slab and the floor impact noise in the living room, produced by bang-machine and rubber-ball excitation, were measured. The test results are compared to the estimates based on FRF and impact force spectrum.

보 구조물에 대한 손상규명기법의 실험적 검증 (Experimental Verification of the Structural Damage Identification Method Developed for Beam Structures)

  • 조국래;신진호;이우식
    • 대한기계학회논문집A
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    • 제26권12호
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    • pp.2574-2580
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    • 2002
  • In this paper, an experimental verification has been conducted for the frequency response function (FRF)-based structural damage identification method (SDIM) proposed for beam structures. The FRF-based SDIM requires the natural frequencies and mode shapes measured in the intact state and the FRF-data measured in the damaged state. Experiments are conducted for the cantilevered beam specimens with one slot and with three slots. It is shown that the proposed FRF-based SDIM provides damage identification results that agree quite well with true damage state.

Using frequency response function and wave propagation for locating damage in plates

  • Quek, Ser-Tong;Tua, Puat-Siong
    • Smart Structures and Systems
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    • 제4권3호
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    • pp.343-365
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    • 2008
  • In this study, the frequency domain method which utilizes the evaluation of changes in the structural mode shape is adopted to identify regions which contain localized damages. Frequency response function (FRF) values corresponding to the modal frequency, analogous to the mode shape coefficients, are used since change in natural frequency of the system is usually insignificant for localized damage. This method requires only few sensors to obtain the dynamic response of the structure at specific locations to determine the FRF via fast-Fourier transform (FFT). Numerical examples of an aluminum plate, which includes damages of varying severity, locations and combinations of multiple locations, are presented to demonstrate the feasibility of the method. An experimental verification of the method is also done using an aluminum plate with two different degrees of damage, namely a half-through notch and a through notch. The inconsistency in attaining the FRF values for practical applications due to varying impact load may be overcome via statistical averaging, although large variations in the loading in terms of the contact duration should still be avoided. Nonetheless, this method needs special attention when the damages induce notable changes in the modal frequency, such as when the damages are of high severity or cover more extensive area or near the boundary where the support condition is modified. This is largely due to the significant decrease in the frequency term compared to the increase in the vibration amplitude. For practical reasons such as the use of limited number of sensors and to facilitate automation, extending the resolution of this method of identification may not be efficient. Hence, methods based on wave propagation can be employed as a complement on the isolated region to provide an accurate localization as well as to trace the geometry of the damage.

정현파로 가진한 강제진동 해석과 응답특성 (Response Characteristics of Forced Vibration Model with Sinusoidal Exciting Force)

  • 김종도;윤문철
    • 융합정보논문지
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    • 제10권7호
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    • pp.131-137
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    • 2020
  • 가진 정현파 강제력에 의한 강제 진동의 특성이 연구되었고 또한, 주파수 영역에서 FRF의 수치 분석을 자세히 수행하였다. 이와 관련하여 강제 진동 모델에서 변위, 속도 및 가속도의 응답을 구하였다. 고유 주파수 주변의 실수부와 허수부의 FRF 특성도 각 경우에 따라 구하였다. 시간 영역에서의 강제 진동의 응답분석은 정현파 강제 진동의 특성을 식별할 수 있다. 변위, 속도 및 가속도 등의 응답을 얻기 위해 Runge-Kutta-Gill 방법의 수치해석 기법을 수행하여 강제력 주파수에 따른 응답을 얻었고 이 주파수는 응답에 큰 영향을 미치지 않았다. 또한, FRF는 강제 진동의 고유 특성을 나타내고 있으며 이러한 강제 진동 모델의 각 감쇠 조건에서 이러한 응답분석을 성공적으로 자세하게 얻을 수 있었다. 상이한 질량, 감쇠 및 강성에 대한 수치 분석 후, 정현파 강제력에 의한 강제 진동 응답 특성을 강제력의 진폭 및 주파수를 동시에 고려하여 분석되었다.

외부 가진력의 주파수에 따른 강제진동시스템의 특성 (Characteristics of Forced Vibration System According to the Frequency of External Exciting Force)

  • 김종도;윤문철
    • 융합정보논문지
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    • 제11권9호
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    • pp.130-137
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    • 2021
  • 주파수를 갖는 외부 가진력에 의하여 강제 진동의 특성을 가진력의 진폭과 주파수에 따라 그 특성을 분석하였다. 변위, 속도 및 가속도를 얻기 위해 수치해석을 수행하여 주파수 응답을 얻었고 특히 주파수 영역에서 시스템 고유진동수와 가진 주파수의 발생 위치를 밝히고자 각각의 FRF의 분석을 하였다. 외부 가진에 의한 진동모델에서 변위, 속도 및 가속도의 거동과 주파수 응답함수에서 고유진동 주파수와 주변의 가진 모드 분포도 파워 스펙트럼과 실수부와 허수부의 FRF 에서 나타났으며 각 모드 특성도 구하였다. 진동의 응답은 가진 신호의 크기와 주파수를 주어 정현파의 가진력으로 외부 가진력을 근사화 하였고 이런 가진력에 의하여 발생하는 모드를 구별할 수 있었다. 상당 질량, 감쇠 및 강성을 변화시켜 수치 분석 후 외부 가진력에 의한 강제 진동 응답 특성을 체계적으로 분석하였다.

얇은 원통형 쉘에 발생한 손상 규명 (A DAMAGE IDENTIFICATION METHOD FOR THIN CYLINDRICAL SHELLS)

  • 오혁진;조주용;이우식
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 추계학술대회 논문집
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    • pp.394-399
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    • 2005
  • In this paper, a structural damage identification method (SDIM) is developed to identify the line crack-like directional damages generated within a cylindrical shell. First, the equations of motion fur a damaged cylindrical shell are derived. Based on a theory of continuum damage mechanics, a small material volume containing a directional damage is represented by the effective orthotropic elastic stiffness, which is dependent of the size and the orientation of the damage with respect to the global coordinates. The present SDIM is then derived from the frequency response function (FRF) directly solved from the dynamic equations of the damaged cylindrical shell. In contrast with most existing SDIMs which require the modal parameters measured in both intact and damaged states, the present SDIM requires only the FRF-data measured in damaged state. By virtue of utilizing FRF-data, one may choose as many sets of excitation frequency and FRF measurement point as needed to acquire a sufficient number of equations fer damage identification analysis. The numerically simulated damage identification tests are conducted to study the feasibility of the present SDIM.

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언커플 시스템의 모우드 분석 연구 (Mode Analysis of Uncoupled System)

  • 김종도;윤문철;김선진;양보석
    • 한국기계가공학회지
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    • 제9권3호
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    • pp.35-41
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    • 2010
  • In this study, a mode analysis of uncoupled system was discussed using FRF. The eigen-mode range of FRF analysis is consistent with conventional FFT in spectrum. Also, the numerical response of second order uncoupled system was obtained using the Runge-Kutta Gill method. The displacement, velocity and acceleration response were calculated after numerical analysis and its response was used for the calculation of FRF for uncoupled system. Using the separated and mixed response of 1st and 2nd mode in example, its FRF was analysed for the prediction of the uncoupled systems and its mode shape was calculated by solving the eigen problem.