• Title/Summary/Keyword: Wave function

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최대 엔트로피 방법을 이용한 비선형 불규칙 파고의 확률분포함수 (Probability Distribution of Nonlinear Random Wave Heights Using Maximum Entropy Method)

  • 안경모
    • 한국해안해양공학회지
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    • 제10권4호
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    • pp.204-210
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    • 1998
  • 최대 엔트로피 방법을 이용하여 강한 비정규분포과정의 특성을 갖는 비선형 불규칙 파고의 확률밀도 함수를 유도하였다. 파랑의 파고가 쇄파고(또는 수심)에 의해 제한되고 파고의 1, 2차 모멘트만 주어졌을 경우, 유도된 확률밀도함수는 $H_{b}$ (쇄파고), $H_{m}$(평균파고), $H_{rms}$(파고의 제곱평균평방근)의 매개변수로 폐합형(closed form)으로 표시된다. 파고의 3차 이상의 모멘트가 주어진 경우에는 최대 엔트로피를 갖는 확률밀도함수의 매개변수를 구하기 위해서 비선형 적분 방정식 계를 Newton-Raphson 방법을 이용하여 수치적으로 구하였다. 최대 엔트로피 방법을 이용하여 유도된 파고의 확률밀도함수를 비정규분포의 특성이 강한 실측자료와 비교하였다. 실측자료는 폭풍시 중간수심과 천해에서 측정된 쇄파고에 가까운 자료로서 강한 비선형 불규칙 파랑의 특성을 지니며, 이 경우에도 유도된 확률밀도함수가 측정된 파고의 막대그래프와 잘 일치하였다. 강한 비선형 불규칙파의 특성을 갖는 파랑의 파고일 경우에도 파고의 1, 2차 모멘트만으로도 파고의 분포를 잘 나타낼 수 있었다. 최대 엔트로피 방법을 이용하여 구해진 파고의 확률분포함수는 해안구조물의 설계파를 결정하는 극치파고분포와 파고의 통계적인 특성을 추정하는데 매우 유용하게 이용될 수 있다.

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SH-wave propagation in a heterogeneous layer over an inhomogeneous isotropic elastic half-space

  • Kakar, Rajneesh
    • Earthquakes and Structures
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    • 제9권2호
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    • pp.305-320
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    • 2015
  • The present paper is devoted to study SH-wave propagation in heterogeneous layer laying over an inhomogeneous isotropic elastic half-space. The dispersion relation for propagation of said waves is derived with Green's function method and Fourier transform. As a special case when the upper layer and lower half-space are homogeneous, our derived equation is in agreement with the general equation of Love wave. Numerically, it is observed that the velocity of SH-wave increases with the increase of inhomogeneity parameter.

NEW EXACT TRAVELLING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS

  • Lee, Youho;An, Jaeyoung;Lee, Mihye
    • 충청수학회지
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    • 제24권2호
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    • pp.359-370
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    • 2011
  • In this work, we obtain new solitary wave solutions for some nonlinear partial differential equations. The Jacobi elliptic function rational expansion method is used to establish new solitary wave solutions for the combined KdV-mKdV and Klein-Gordon equations. The results reveal that Jacobi elliptic function rational expansion method is very effective and powerful tool for solving nonlinear evolution equations arising in mathematical physics.

수압식 파고계 자료 분석에서 유속의 영향 (The Significance of Current-effect on Analysis of Wave Data Obtained from a Subsurface Pressure Gauge)

  • 이동영;오상호
    • Ocean and Polar Research
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    • 제31권4호
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    • pp.389-399
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    • 2009
  • Subsurface pressure gauge has many advantages in measuring a wide range of wave spectra in coastal waters from wind waves to long waves. However, a shortcoming of the gauge is related to the difficulties in recovering surface wave spectra from subsurface pressure records. In this study, the effect of current on the pressure transfer function of the pressure gauge, and hence on the surface wave energy spectrum, was investigated by analyzing the subsurface pressure data based on the linear wave theory. For this purpose, laboratory experiments were carried out in a wave-current flume. Subsurface pressure records, as well as the surface elevation data, were obtained simultaneously under different wave and current conditions. Pressure transfer functions were obtained and compared with those estimated from the linear wave theory, both with and without inclusion of the current-effect. It was established that wave spectra obtained from subsurface pressure gauge were in closer agreement with those from surface wave gauge when current-effect on the pressure transfer function was taken into consideration for analysis.

속초 연안의 장기 파랑관측 및 분석 (Long-term Wave Monitoring and Analysis Off the Coast of Sokcho)

  • 정원무;류경호;조홍연
    • 한국해안·해양공학회논문집
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    • 제27권4호
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    • pp.274-279
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    • 2015
  • 동해 중부에 위치한 속초항 연안에서 약 11년간 취득한 파랑자료를 스펙트럼법과 파별분석법을 사용하여 분석하고 대표적인 파랑 특성을 검토하였다. 유의파고는 동계에 크고 하계에 작으며, 첨두주기도 동계에 길고 하계에 짧은 특성을 나타내었다. 관측된 최대 유의파고는 8.95 m 였으며 동해선풍에 의하여 발생되었다. 유의파고와 첨두주기 모두 그 분포 형태를 Generalized Gamma 및 Generalized Extreme Value 분포함수보다는 Kernel 분포함수가 보다 잘 재현하였다. 한편, 인근 해역에서의 설계 및 시공에 도움을 줄 수 있도록 파고 자료를 월별 및 파고 구간별로 세분하고 누적출현율을 제시하였다.

EXTENDED JACOBIN ELLIPTIC FUNCTION METHOD AND ITS APPLICATIONS

  • Chen, Huaitang;Zhang, Hongqing
    • Journal of applied mathematics & informatics
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    • 제10권1_2호
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    • pp.119-130
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    • 2002
  • An extended Jacobin elliptic function method is presented for constructing exact travelling wave solutions of nonlinear partial differential equations(PDEs) in a unified way. The main idea of this method is to take full advantage of the elliptic equation that Jacobin elliptic functions satisfy and use its solutions to replace Jacobin elliptic functions in Jacobin elliptic function method. It is interesting that many other methods are special cases of our method. Some illustrative equations are investigated by this means.

양단자 회로망 분석을 이용한 기관배기계의 압력파 전달특성에 관한 연구 (A study of the transfer characteristics of pressure waves using two-port network analysis in exhaust system of engine)

  • 이준서;유병구;차경옥
    • Journal of Advanced Marine Engineering and Technology
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    • 제22권1호
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    • pp.77-84
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    • 1998
  • Based on experimental analysis, the characteristics of pulsating pressure wave propagation is clarified by testing of 4-stroke gasoline engine. The pulsating pressure wave in exhaust system is generated by pulsating gas flow due to working of exhaust valve. The pulsating pressure wave is closely concerned to the loss of engine power according to back pressure and exhaust noise. It is difficult to exactly calculate pulsating pressure wave propagation in exhaust system because of nonlinear effect. Therefore, in the first step for solving these problems, this paper contains experimental model and analysis method which are applied two-port network analysis. Also, it shows coherence function, frequency response function, back pressure, and gradient of temperature in exhaust system.

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수면부근에 설치된 이열고정부방파제에 의한 파랑제어의 해석 (Wave Control by Two-Rowed Fixed Floating Breakwaters near the Water Surface)

  • 김도삼;이재석;이봉재
    • 한국해양공학회지
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    • 제15권4호
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    • pp.1-7
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    • 2001
  • Mainly, Floating Breakwaters (FBs) have been constructed in many coastal regions due to the advantages of the coastal environment and construction cost. In general, the FB becomes fixed or its width broadened because the movement of the FB comes to be large and its the wave control function lower for the long period incident waves. This study discusses the wave control function of two-rowed Fixed Floating Breakwater (FFBs) that have narrower width than that of the one-rowed FFB by using numerical approach. Boundary Element Method (BEM) based on the Green formula and Eigenfunction Expansion Method (EEM) are applied to evaluate the three-dimensional wave transformation near the wave fields of two-rowed FFBs. The validity of the present study is confirmed by comparing it with the results of Ijima et al. (1974) and Yoshida et al. (1992) for the one-rowed Fixed Floating Structure. It is revealed that the wave control function of two-rowed FFBs is more effective than that of the one-rowed FFB.

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대진 연안의 장기 파랑 특성 분석 (Analysis of the Long-term Wave Characteristics off the Coast of Daejin)

  • 정원무;조홍연;백원대
    • 한국해안·해양공학회논문집
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    • 제27권2호
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    • pp.142-147
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    • 2015
  • 동해 중북부에 위치한 대진항 북측 연안에서 7년간 취득한 파랑자료를 스펙트럼법과 파별분석법을 사용하여 분석하고 대표적인 파랑 특성을 검토하였다. 유의파고는 동계에 크고 하계에 작으며, 첨두주기도 동계에 길고 하계에 짧은 특성을 나타내었다. 관측된 최대 유의파고는 6.59 m였으며 1216호 태풍 산바(SANBA)에 의하여 발생되었다. 유의파고와 첨두주기 모두 그 분포 형태를 Generalized Gamma 및 Generalized Extreme Value 분포함수보다는 Kernel 분포함수가 보다 잘 재현하였다. 한편, 인근 해역에서의 설계 및 시공에 도움을 줄 수 있도록 파고 자료를 월별 및 파고구간별로 세분하고 누적출현율을 제시하였다.

Mixed Wave Function for Heavy Fermion Compounds

  • Bang, Yun-Kyu
    • Progress in Superconductivity
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    • 제11권2호
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    • pp.135-140
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    • 2010
  • We propose a variational wave function for the ground state of the magnetic heavy fermion (HF) systems, in which both the Kondo and the RKKY interactions are variationally incorporated and the local f-orbital state exists as a linear combination of a full local moment state and a fully compensated state (mixed wave state). We describe the mechanism for the mixed wave ground state based on the large-N treatment of the Kondo lattice Hamiltonian added with RKKY interaction. With the mixed wave ground state we can explain several puzzling experiments in magnetic HF compounds such as a small value of local moment, coexistence of the antiferromagnetic (AFM) and the paramagnetic (PM) phases, local quantum criticality, etc.