• Journal of the Korean Society for Nondestructive Testing
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• v.19 no.4
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• pp.270-276
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• 1999

Fourier transform has been one of the most commonly used tools in study of frequency characteristics of signal. However, based on the Fourier transform. it is hard to tell whether a signal's frequency contents evolve in time or not. Recently, to overcome Fourier transform fault. not to represent non-stationary signal, time-frequency analysis methods are developed and those can represent informations of signal's time and frequency at the same time. In this study we analysed ultrasonic signal for degraded SUS 316 with time-frequency analysis method. In particular the methods such as short time Fourier(STFT) and Wigner-Ville distribution(WVD) were used to extract frequency contents and characteristics from ultrasonic signals.

• Journal of the Korean GEO-environmental Society
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• v.18 no.3
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• pp.25-30
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• 2017

This paper introduces a novel method to quantify the morphological evolution of the strain response envelope. The strain response envelope is defined as an image in strain increment space corresponding to the unit stress input in stress space. Based on the shape of strain response envelopes, the deformation characteristics of soils can be described using the framework of elastic-plastic theory. Fourier descriptor analysis was used to investigate the morphological characteristics of strain response envelopes. The numerical results show that when the stress input remains in the initial yield surface the Fourier descriptors remain constant. Once the stress input crosses the initial yield surface, every descriptors deals in this study change. Numerical and experimental results of this study show that clear yielding response is only found in natural block samples. Among the Fourier descriptors, the descriptor called as asymmetry is the best for detecting the yield and is minimally sensitive to the number of input stress paths.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.529-533
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• 2012

본 연구에서는 실내실험을 통하여, 하안침식을 고려한 망상하천에서 저수로의 이동특성을 조사하며, 2중 퓨리에 해석에 의하여 사주의 거동특성을 분석하였다. 실내실험은 평균입경이 1.4 mm이고, 표준편차가 1.35인 균일사로 10 cm 의 두께로 전체가 균등하게 채워진, 길이가 12 m, 넓이 2 m 수로에서 수행하였다. 각 시간별 하도의 지형변화에 대하여 2 중 Fourier 해석에 의한 지배적인 성분, 즉 모드(mode)의 변화를 분석하였다. 여기서 1-1 mode는 교호사주(alternate bars)이고, 1-2 mode와 2-2 mode는 2차 횡방향 모드로서 중앙 사주(central bars)를 나타낸다. 1-3 mode와 2-3 mode는 한 단면에서 횡방향으로 3개의 사주가 형성된 것(triple row bars)를 나타낸다. 초기에는 1-1 mode인 교호사주가 지배적이지만, 시간이 증가함에 따라, 교호사주인 1-1 mode는 감소하고, 한 단면에서 3개의 사주가 형성되는 2-3 mode가 지배적인 것으로 나타났다. 이러한 원인은 시간이 지나면서 사주가 발달하고, 하안침식이 되면서, 하폭이 증가하여 상대적으로 수심이 감소하면서 복렬사주가 발달하기 때문이며, Colombini 등(1987)이 이론적으로 예측한 결과와 잘 일치한다. 한 단면에서 3개의 모드가 나타나는 것은 하상에서 변화를 일으키는데 중요한 역할을 한다. 직선하도에서 사주의 수가 증가하는 것은 교호사주의 강한 비선형으로 상호작용하기 때문이다.

• Journal of the Korean Society for Precision Engineering
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• v.10 no.4
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• pp.135-141
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• 1993

고속으로 변형을 받는 재료의 변형 강도는 정적인 부하를 받는 경우와는 다르며 이 고속 현상을 해석하기 위해서는 시간적, 공간적 변화를 조사할 필요가 있다. 일반적으로 스트레인 속도를 구하는 데는 스트레인 게이지를 이용하고 있지만, 고무와 같은 대변형을 하는 물체에서는 정확한 데이터를 얻기가 곤란 하므로 스플라인 함수를 이용해서 보간 작업을 해야 한다. 그래서, 최근에는 스트레인 속도를 구하는 방법 으로 격자법, 모아레법, 광탄성법 등이 이용되고 있다. 재료의 변위 분포를 구하는 데는 격자법이 잘 이용 되어지고 있지만 스트레인 속도 분포의 해석의 정도에 문제가 되고 있다. 이러한 문제를 해결하기 위하여 본 논문에서는, 고속으로 변형하는 물체의 형상을 역학적으로 해석하기 위해 고속도 카메라로 촬영을 하고 그 때 얻어진 격자 화상을 퓨리에 변환 격자법을 이용해서 위상을 구하고 스트레인 속도 분포를 해석했다.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• v.9 no.2
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• pp.451-454
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• 2005

Recently, many methods to analyze signal have been proposed and representative methods are the Fourier transform and wavelet transform. In these methods, the Fourier transform represents signal with combination cosine and sine at all locations in the frequency domain. However, it doesn't provide time information that particular frequency occurs in signal and depends on only the global feature of the signal. So, to improve these points the wavelet transform which is capable of multiresolution analysis has been applied to many fields such as speech processing, image processing and computer vision. And the wavelet transform, which uses changing window according to scale parameter, presents time-frequency localization. In this paper, we proposed a new approach using a wavelet of cosine and sine type and analyzed features of signal in a limited point of frequency-time plane.

• Journal of the Institute of Convergence Signal Processing
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• v.20 no.4
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• pp.199-204
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• 2019

In the boundary layer, vortical system has been analyzed by the statistical methods to identify the vortex interaction. However, there are the limitations in explaining vortices by the mean velocity or the standard deviation. This paper proposed a method to establish a frequency analysis by Fourier transform in order to simultaneously investigate various scale vortices. For this purpose, the flow visualization conducted to reveal a standing vortex, a hairpin vortex and a wake region around a hemisphere attached on a flat plate in a water channel. In addition, the velocity where the hairpin vortex was being generated in the wake region was measured by a hot-film anemometer. To observe changes in the vortex interaction, suction was applied through a hole in front of the hemisphere. For the evaluation of the proposed frequency analysis, the existing statistical results were compared to the frequency analysis that corresponds to the qualitative results of the flow visualization.

• The Journal of Engineering Geology
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• v.14 no.1
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• pp.29-46
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• 2004

It is important to identify geometries of fracture that act as a conduit of fluid flow for characterization of ground water flow in fractured rock. Fracture geometries control hydraulic conductivity and stream lines in a rock mass. However, we have difficulties to acquire whole geometric data of fractures in a field scale because of discontinuous distribution of outcrops and impossibility of continuous collecting of subsurface data. Therefore, it is needed to develop a method to describe whole feature of a target fracture geometry. This study suggests a new approach to develop a method to characterize on the whole feature of a target fracture geometry based on the Fourier transform. After sampling of specimens along a target fracture from borehole cores, effective frequencies among roughness components were selected by the Fourier transform on each specimen. Then, the selected effective frequencies were averaged on each frequency. Because the averaged spectrum includes all the frequency profiles of each specimen, it shows the representative components of the fracture roughness of the target fracture. The inverse Fourier transform is conducted to reconstruct an averaged whole roughness feature after low pass filtering. The reconstructed roughness feature also shows the representative roughness of the target subsurface fracture including the geometrical characteristics of each specimen. It also means that overall roughness feature by scaling up of a fracture. In order to identify the characteristics of permeability coefficients along the target fracture, fracture models were constructed based on the reconstructed roughness feature. The computation of permeability coefficient was performed by the homogenization analysis that can calculate accurate permeability coefficients with full consideration of fracture geometry. The results show a range between $10^{-4}{\;}and{\;}10^{-3}{\;}cm/sec$, indicating reasonable values of permeability coefficient along a large fracture. This approach will be effectively applied to the analysis of permeability characteristics along a large fracture as well as identification of the whole feature of a fracture in a field scale.

• Journal of the Korean Society for Precision Engineering
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• v.9 no.3
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• pp.165-171
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• 1992

진동하는 구조물을 설계할 때에는 그 구조물 중의 Strain이나 응력이 최대가 되는 장소나 시각을 알 필요가 있다. 지금까지의 Strain 해석에는 Strain gauge 등과 같은 접촉법이 많이 이용되고 있다. 더우기, 접촉법으로 대변형 진동을 하는 물체의 Strain을 해석하는 것은 곤란하다. 최근에는 비접촉법으로 Strain 분포를 해석하기 위해 화상처리를 이용한 계측이 행하여지고 있다. 이들의 Strain 분포를 측정하는 광학적인 방법으로는 격자법, Moire법, 홀로 그랩픽 간섭법 등이 있다. 특히 대변형이나 대Strain을 해석하는 데에는 격자법이 많이 이용되고 있는데, 종래의 격자법은 Data를 처리하는 데에 많은 시간과 노력이 소요되고 작업도 매우 복잡하며, Data의 수도 제한이 되어서 구조물의 분포의 해석 정도에 큰 영향을 미치게 된다. 본 논문 에서는 스테레오법을 이용해서 2차원 격자를 붙인 시료표면의 각 점의 3차원 좌표를 계측하고, 또 Fourier 변환 격자법을 적용하여 촬영된 2차원 격자의 화상에서 위상치를 구한다. 그리고 물체의 변형 전후의 대응 관계의 화상에서 3차원 형상과 Strain 분포를 해석하는 방법을 제안한다. 이 방법을 이용하면 진동하는 구조 물의 3차원 변위분포, Strain 분포를 정도 좋게 해석할 수가 있다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.15 no.1
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• pp.173-188
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• 2002

In General, the measured loads and load-time function suggested by Bachmann iota walking are used for vibration analysis of structures subjected to footstep loads. It is not easy to measure walking loads because they we influenced by various parameters. Therefore, it is needed to model the walking loads that can be applied to structure analysis. Parameter study is used for the walking loads having various walking frequency for vibration analysis of structures under walking loads. In this study, walking loads were measured directly by using a force plate within two load cells, and the parameters of the walking loads were analyzed. The measured walking loads are decomposed into harmonic loads by using the Fouler series. Functional relationship between the walking frequency and the Fourier coefficients can be derived from the coefficients of harmonic loads obtained by the decomposition process, and the walking loads were formulated. It is possible to apply the venerated walking loads easily or conveniently by the proposed equation to the analysis of a structure subjected to walking loads.

• Composites Research
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• v.16 no.1
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• pp.26-33
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• 2003

Utilizing a thermo-acoustic emission (AE) technique, a study on detection and evaluation of microfractures in cross-ply laminate composites was performed. Fiber breakages and matrix fractures formed by a cryogenic cooling at $-191^{\circ}C$ were observed with ultrasonic C-scan, optical and scanning electron microscopy. Those microfractures were monitored in a non-destructive in-situ state as three different types of thermo-AE signals classified on the basis of Fast-Fourier Transform and Short-Time Fourier Transform. Thus, it was concluded that real-time estimation of microfracture processes being formed during cryogenic cooling could be accomplished by monitoring such different types of thermo-AEs in each time-stage and then by analyzing thermo-AE behaviors for the respective AE types on the basis of the AE signal analysis results obtained during thermal heating and cooling load cycles.