• Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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• 2001.05a
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• pp.260-265
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• 2001

본 연구에서는 연속 웨이블렛 변환을 이용하여 Ringing 현상을 연구하였다. 사용되어진 웨이블렛은 Morlet 웨이블렛이었고, 실험은 파수조에서 수행되었다. 또한 Ringing 현상을 다루고자 쇄파를 발생시켰다. 실험에 쓰인 모델은 수면을 통과하여 수직으로 고정된 원주 실린더였고, 이 실린더에 작용된 힘과 파고가 측정되어졌다. 이들은 연속 웨이블렛 변환으로 분석되어졌고, 이러한 분석으로 얻어진 scalogram 들은 고주파 성분이 쇄파 충격시 만들어진다는 사실을 시간영역상에서 보여주었다. 이는 기존의 스펙트럼 분석에서는 찾기 힘든 것이다. Coherence 분석도 위의 결론을 뒷받침해 주었다.

• Proceedings of the KIEE Conference
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• 1999.07e
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• pp.2311-2313
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• 1999

웨이블렛 기법은 비주기적 신호의 해석에 있어 새롭게 적용되고 있는 방법이다. 이 방법은 Fourier Transform(FT), the Fast Fourier Transform(FFT), Least Square Method 방법과는 달리 시간 -주파수 분석을 통해 비주기적 과도 신호의 감지와 특징 추출이 용이하다. 이에 본 연구에서는 이러한 통계적 기법과는 달리 부분 방전 발생 신호를 시간-주파수 영역에서 연속적으로 분석 가능한 웨이블렛 기법을 이용하여 시간에 따른 절연체의 열화를 해석 및 진단하기로 한다. 부분 방전 현상을 나타내는 데이터는 방대하므로 진단을 위해 해석 정보에서 특정한 특징을 추출하며 이를 바탕으로 체계화된 데이터 베이스를 구성하는 기반을 마련한다. 해석에 필요한 신호는 복합감지 시스템(부분방전 시스템, 음향방출 시스템)을 이용하여 수집하였다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.23 no.1
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• pp.1-8
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• 2010

The Fourier series uses a vibrating wave that possesses an amplitude that is like the one of the sine curve. Therefore, the functions used in the Fourier series do not change due to the value of the frequency and that set a limit to express irregular signals with rapid oscillations or with discontinuities in localized regions. However, the wavelet series analysis(WSA) method supplements these limits of the Fourier series by a linear combination of a suitable number of wavelets. By using the wavelet that is focused on time, it is able to give changes to the range in the cycle. Also, this enables to express a signal more efficiently that has singular configuration and that is flowing. The main objective of this study is to propose a scheme called wavelet series analysis for the application of wavelet theory to one-dimensional problems represented by the second-order elliptic equation and to evaluate theperformance of proposed scheme comparing with the finite element analysis. After a through evaluation of different types of wavelets, the HAT wavelet system is chosen as a wavelet function as well as a scaling function. It can be stated that the WSA method is as efficient as the FEA method in the case of axial bars with distributed loads, but the WSA method is more accurate than the FEA method at the singular points and its computation time is less.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.24 no.8 s.179
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• pp.2100-2107
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• 2000

The wavelet theory is relatively a new development and now acquires popularity and much interest in many areas including mathematics and engineering. This work presents an adaptive wavelet method for a numerical solution of partial differential equations in a collocation sense. Due to the multi-resolution nature of wavelets, an adaptive strategy can be easily realized it is easy to add or delete the wavelet coefficients as resolution levels progress. Typical wavelet-collocation methods use interpolating wavelets having no vanishing moment, but we propose a new wavelet-collocation method on modified interpolating wavelets having 2 vanishing moments. The use of the modified interpolating wavelets obtained by the lifting scheme requires a smaller number of wavelet coefficients as well as a smaller condition number of system matrices. The latter property makes a preconditioned conjugate gradient solver more useful for efficient analysis.

• Journal of KSNVE
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• v.9 no.4
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• pp.813-821
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• 1999

This paper presents the technique using wavelet analysis to solve the seismic response of a steam turbine-generator rotor system subjected to earthquake excitations. A brief review of the wavelet transform and its discretization, time-frequency representation of the earthquake wave and the seismic response for a rotor system is presented. The Daubechies wavelet has been used for describing the time-frequency characteristics of the input and the response in case of a recorded accelerogram during 1995 Hyogoken Nanbu earthquake. Also, the results in the wavelet domain has been illustrated through comparison with the time domain simulation results.

• Journal of KSNVE
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• v.8 no.5
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• pp.957-963
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• 1998

A new signal processing technique, the directional harmonic wavelet map(dHWM), is presented to characterize the instantaneous planar motion of a measurement point in a structure from its transient complex-valued vibration signal. It is proven that the directional auto-HWM essentially tracks the shape and directively of the instantaneous planar motion, whereas the phase of the directional cross-HWM indicates its inclination angle. Finally, the technique is suessfully applied to an automobile engine for characterization of its transient motion during crank-on/idling/engine-off.

• Journal of the Society of Naval Architects of Korea
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• v.39 no.2
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• pp.19-27
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• 2002

The early damage detection of large structures is very important to prevent the disaster due to its global failure. In this paper, a crack detection method of the beam-analogy structure based on the wavelet transformation of mode shape is presented. The method can effectively detect the singularity of mode shape caused to the inconsistency of bending moment and shear force at the damaged part using the discrete wavelet of mode shape and its inverse transforms of detail components. To investigate the validity and the applicability of the presented damage detection method, numerical simulation and experiment are carried out for the idealized beam and the real ship structures.

• Computational Structural Engineering
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• v.16 no.3
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• pp.76-83
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• 2003

• Proceedings of the IEEK Conference
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• 2000.09a
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• pp.207-210
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• 2000

본 논문에서는 신호를 해석하는데 유용한 웨이블렛 변환을 적용하여 장면전환 요소 중 cut과 fade를 검출하는 알고리즘을 제안한다. 제안된 방법은 웨이블렛 저대역 부밴드로부터 각 프레임의 히스토그램을 구한 후 이전 프레임과 현재 프레임사이의 히스토그램 차를 구하여 이 값이 임계값 이상이면 급격한 장면전환(abrut shot transition)인 cut으로 분류한다. 다음으로 페이드인(fade in)이나 페이드 아웃(fade out)등 컷의 지점이 불분명한 점진적 장면전환(gradual scene transition)을 검출하기 위하여 고대역 부밴드에서 추출한 에지성분에 모멘트를 계산하여 인접한 프레임 사이의 변동율을 분석하여 값이 증가하면 페이드 인을 검출하고 반면에 감소하면 페이드 아웃을 검출하게된다. 성능평가를 위하여 실제의 비디오 분할에 적용한 결과 웨이블렛 적용 방법론이 매우 높은 Precision을 갖는다는 것을 알 수 있으며 윤곽정보에 모멘트 정보를 더함으로써 기존의 방법보다 정확한 페이드(fade) 구간을 검출할 수 있었다.

• Journal of the Korean Society for Precision Engineering
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• v.22 no.10 s.175
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• pp.80-89
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• 2005

In this paper, time-frequency analysis using wavelet packet transform and advanced-MDSA (Multiple Dimensional Spectral Analysis) which based on wavelet packet transform is applied fur fault source identification and diagnosis of early detection of fault non-stationary sound/vibration signals. This method is analyzing the signal in the plane of instantaneous time and instantaneous frequency. The results of ordinary coherence function, which obtained by wavelet packet analysis, showed the possibility of early fault detection by analysis at the instantaneous time. So, by checking the coherence function trend, it is possible to detect which signal contains the major fault signal and to know how much the system is damaged. Finally, It is impossible to monitor the system is damaged or undamaged by using conventional method, because crest factor is almost constant under the range of magnitude of fault signal as its approach to normal signal. However instantaneous coherence function showed that a little change of fault signal is possible to monitor the system condition. And it is possible to predict the maintenance time by condition based maintenance for any stationary or non-stationary signals.