• 한국항만학회지
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• 제8권1호
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• pp.41-47
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• 1994

The present paper discusses the nonlinear wave deformation due to a submerged coastal structure. Theory is based on the frequency-domain method using the third order perturbation and boundary integral method. Theoretical development to the second order perturbation and boundary integral method. Theoretical development to the second order Stokes wave for a bottom-seated submerged breakwater to the sea floor is newly expanded to the third order for a submerged coastal structure shown in Figure 1. Validity is demonstrated by comparing numerical results with the experimental ones of a rectangular air chamber structure, which has the same dimensions as that of this study. Nonlinear waves become larger and larger with wave propagation above the crown of the structure, and are transmitted to the onshore side of the structure. These characteristics are shown greatly as the increment of Ursell number on the structure. The total water profile depends largely on the phase lag among the first, second and third order component waves.

• 천문학회보
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• 제37권2호
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• pp.119.1-119.1
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• 2012

It is well known that the FLRs are excited by compressional waves via mode conversion, but there has been no apparent criterion on the maximum amplitude in the regime of linear approximations. Such limited range of amplitude should be understood by including nonlinear saturation of FLRs, which has not been examined until now. In this study, using a three-dimensional magnetohydrodynamic (MHD) simulation code, we examine the evolution of nonlinear field line resonances (FLRs) in the cold plasmas. The MHD code used in this study allows a full nonlinear description and enables us to study the maximum amplitude of FLRs. When the disturbance is sufficiently small, it is shown that linear properties of MHD wave coupling are well reproduced. In order to examine a nonlinear excitation of FLRs, it is shown how these FLRs become saturated as the initial magnitude of disturbances is assumed to increase. Our results suggest that the maximum amplitude of FLRs become saturated at the level of the same order of dB/B as in observations roughly satisfies the order of ~0.01. In addition, we extended this study for the plasma sheet boundary layer (PSBL) region. We can discuss the maximum disturbances of the Alfven via mode conversion becomes differently saturated through each region.

• 융합신호처리학회논문지
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• 제21권1호
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• pp.7-12
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• 2020

수술 중 마취 깊이를 측정하는 방법으로 뇌파를 이용한 다양한 파라미터들이 사용되고 있으며, 실제 임상에서는 선형분석 기법 중 하나인 SEF가 널리 사용되고 있다. 그러나 최근 EEG를 포함한 생체학적 신호는 비선형 성질을 가지고 있다는 연구결과가 발표되면서, 이를 기반으로 한 파라미터 개발이 이뤄지고 있다. 본 연구에서는 보다 정확한 EEG 측정과 분석을 위해 비선형 분석 기법 기반의 파라미터를 개발과 이에 대한 정현파 분석을 통한 데이터와의 비교 분석을 통해 수술 중 전자장비와 EEG 계측 시 혼입될 수 있는 노이즈를 추출하고자 한다.

• 한국해안해양공학회지
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• 제14권4호
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• pp.308-318
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• 2002

본 논문에서는 Korteweg de Vries(이하 KdV)방정식의 골격내에서 천해의 풍파의 수치모형요구조건에 대한 토의를 수행하였다. KdV식을 실험자료를 포함하는 발달된 해상상태, 비정상적 풍파와 나블상황에 적용시의 비선형성과 분산성의 취약점을 논하였다. 최극해파통계의 충분한 평가를 위해서는 파고기록이 적어도 10.000개 정도의 해파를 다루어야 하는데 이는 숫적으로 다루기 힘들다. 따라서 유의파의 2-2.3배에 상응하는 최극해파의 통계적 특성을 효과적으로 평가할 수 있는 가능성을 제시하는 불규칙해파의 수치적 모형을 제시하였다.

• 한국해양공학회지
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• 제34권6호
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• pp.406-418
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• 2020

In this study, a nonlinear wave simulation code is developed using a higher-order spectral (HOS) method. The HOS method is very efficient because it can determine the solution of the boundary value problem using fast Fourier transform (FFT) without matrix operation. Based on the HOS order, the vertical velocity of the free surface boundary was estimated and applied to the nonlinear free surface boundary condition. Time integration was carried out using the fourth order Runge-Kutta method, which is known to be stable for nonlinear free-surface problems. Numerical stability against the aliasing effect was guaranteed by using the zero-padding method. In addition to simulating the initial wave field distribution, a nonlinear adjusted region for wave generation and a damping region for wave absorption were introduced for wave generation simulation. To validate the developed simulation code, the adjusted simulation was carried out and its results were compared to the eighth order Stokes theory. Long-time simulations were carried out on the irregular wave field distribution, and nonlinear wave propagation characteristics were observed from the results of the simulations. Nonlinear adjusted and damping regions were introduced to implement a numerical wave tank that successfully generated nonlinear regular waves. According to the variation in the mean wave steepness, irregular wave simulations were carried out in the numerical wave tank. The simulation results indicated an increase in the nonlinear interaction between the wave components, which was numerically verified as the mean wave steepness. The results of this study demonstrate that the HOS method is an accurate and efficient method for predicting the nonlinear interaction between waves, which increases with wave steepness.

• 한국지진공학회논문집
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• 제10권5호
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• pp.63-71
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• 2006

건축구조물의 비선형 지진응답해석에서 입력지진동은 구조물의 탄소성 지진응답을 좌우하는 중요한 요소이다. 지진동파형은 지진발생과 전파경로에 따른 여러 가지 인자에 의해 그 특성이 결정되기 때문에 구조물의 지진응답해석에서 일반성을 갖는 입력지진동을 선정하는 것은 매우 어려운 문제이다. 본 논문은 내진설계용 스펙트럼에 대응하는 인공지진동파형을 작성한 후, 작성된 인공지진동에 대한 탄소성 응답스펙트럼 특성을 분석한 것이다. 여기서 작성된 인공지진동파형은 과거의 지진에서 얻어진 기록지진동파형을 이용하여 기록지진동과 동일한 위상각을 가지며, 감쇠정수 h=5%일 때의 내진설계용 스펙트럼과 거의 일치하도록 작성되었다. 작성된 인공지진동은 원 기록지진동과 동일한 위상각을 가지며, 주기 $T=0.02{\sim}10.0sec$ 범위에서 설계용 스펙트럼과 매우 근접하게 작성되었다. 인공지진동을 입력한 1자유도계의 탄성 및 탄소성 지진응답해석을 수행하여 탄소성 응답스펙트럼 및 탄소성 응답특성을 분석하였다. 본 논문에서 작성된 인공지진동은 건축구조물의 탄소성 지진응답해석용 입력지진동으로 충분히 타당성이 있다고 사료된다.

• 충청수학회지
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• 제25권3호
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• pp.381-391
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• 2012

In this paper, the formal linearization method is used to construct multisoliton solutions for three model of shallow water waves equations. The three models are completely integrable. The formal linearization method is an efficient method for obtaining exact multisoliton solutions of nonlinear partial differential equations. The method can be applied to nonintegrable equations as well as to integrable ones.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.197-208
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• 2006

This paper deals with the exact solution of surface gravity waves in an ocean with irregular bed topography. In order to obtain water surface elevation and run-up of infra-gravity waves when the bed is either wavy or exponential, closed form solutions are obtained. Numerical computations indicate that when solitary wave or sinusoidal wave conditions are applied at the boundary, water surface elevation attains near Gaussian profile.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 1995년도 추계 학술대회논문집
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• pp.126-131
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• 1995

In this paper we study steady capillary-gravity waves in a two-layer fluid bounded above by a free surface and below by a horizontal rigid boundary with a small obstruction, Two critical speeds for the waves are obtained. Near the smaller critical speed, the derivation of the usual forced KdV equation (FKdV) fails when the coefficient of the nonlinear term in the FKdV vanishes. To overcome this difficulty, a new equation called a forced extended KdV equation (FEKdV) governing interfacial wave forms is obtained by a refined asymptotic method. Various solutions and numerical results of this equation are presented.

• 한국항해항만학회지
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• 제27권1호
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• pp.55-61
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• 2003

계류된 선박의 시뮬레이션을 위해 조종방정식을 사용하였고, 파 중의 선박에 가해지는 파강제력은 3차원 특이점 분포법에서 얻어진 주파수 전달함수로부터 시간영역해석법을 적용하였다. 운동을 유발하는 입사파의 주기와 동일한 선형 파강제력과 성분파 주파수의 차이에 기인하는 장주기 표류력을 외력항에 고려하였다. 규칙파와 불규칙 중에서의 선박의 거동을 비교하여 계류 중 선박에 발생할 수 있는 SLEW MOTION에 불규칙파 및 비선형 파강제력이 미치는 영향을 고찰하였다.