• 제목/요약/키워드: Hybrid integral equation

검색결과 24건 처리시간 0.022초

Hybrid 적분방정식을 사용한 Flap-Harbour 복합체 파 에너지 흡수효율 추정 (Prediction of Wave Energy Absorption Efficiency of a Flp-Harbour Device by a Hybrid Integral Equation)

  • 김현주
    • 한국해양공학회지
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    • 제14권2호
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    • pp.1-6
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    • 2000
  • Wave energy absorption by a flap equipped with a harbor in a water of finite depth is studied. The wave potential is calculated by a hybrid integral equation consisting of Green integral equations associated with Rankine and Kelvin Green functions. The absorbed wave energy is calculated by both the near-field and far-field methods. The present methods can be used for the design of a flap-harbor wave energy absorber since the numerical results by the two methods are in good agreement.

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COMMON COUPLED FIXED POINT RESULTS FOR HYBRID PAIR OF MAPPING UNDER GENERALIZED (𝜓, 𝜃, 𝜑)-CONTRACTION WITH APPLICATION

  • Handa, Amrish
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제26권3호
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    • pp.111-131
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    • 2019
  • We introduce (CLRg) property for hybrid pair $F:X{\times}X{\rightarrow}2^X$ and $g:X{\rightarrow}X$. We also introduce joint common limit range (JCLR) property for two hybrid pairs $F,G:X{\times}X{\rightarrow}2^X$ and $f,g:X{\rightarrow}X$. We also establish some common coupled fixed point theorems for hybrid pair of mappings under generalized (${\psi},{\theta},{\varphi}$)-contraction on a noncomplete metric space, which is not partially ordered. It is to be noted that to find coupled coincidence point, we do not employ the condition of continuity of any mapping involved therein. As an application, we study the existence and uniqueness of the solution to an integral equation. We also give an example to demonstrate the degree of validity of our hypothesis. The results we obtain generalize, extend and improve several recent results in the existing literature.

A HYBRID VOLTERRA-TYPE EQUATION WITH TWO TYPES OF IMPULSES

  • Belbas S.A.;Park Jong-Seo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제13권2호
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    • pp.121-136
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    • 2006
  • We formulate and analyze a hybrid system model that involves Volterra integral operators with multiple integrals and two types of impulsive terms. We give a constructive proof, via an iteration method, of existence and uniqueness of solutions.

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다중 OWC챔버 구조물의 운동해석 (A Study on the Multiple OWC Chamber Motion in Waves)

  • 홍도천;홍사영;홍석원
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.202-205
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    • 2002
  • The motion of a floating body with multiple owe chambers in waves is studied taking account of fluctuating air pressure in the chambers. The atmospheric pressure drop in one chamber is interrelated with the drop in the other chamber. Velocity potential in the water due to the free surface oscillating pressure patches is calculated by making use of the hybrid Green integral equation. The chamber motion in the frequency domain is calculated for various values of parameters related to the atmospheric pressure drop in the multiple chambers.

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임의의 균열표면 하중을 받는 복합채 중앙균열의 응력세기계수 (Stress Intensity Factors for an Interlaminar Crack in Composites under Arbitrary Crack Surface Loadings)

  • 이강용;박문복;김성호
    • 대한기계학회논문집A
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    • 제20권3호
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    • pp.901-909
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    • 1996
  • A model is constructed to evaluate the stress intensity factors(SIFs) for composites with an interlaminar crack subjected to as arbitrary crack surface loading. A mixed boundary value problem is formulated by Fourier integral transform method and a Fredholm integral equation of the second kind is derived. The integral equation is solved numerically and the mode I and II SIFs are evaluated for various shear modulus ratios between each layer, crack length to layer thickness, each term of crack surface polynomial loading and the number of layers. The mode I and II SIFs for the E- glass/epoxy composites as well as the hybrid composites are also evaluated.

탄성파의 변형 및 응력 계산에 관한 연구 (Elastic Wave Field Calculations)

  • 이정기
    • 전산구조공학
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    • 제10권2호
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    • pp.213-223
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    • 1997
  • 탄성파의 변형 및 응력계산에 관한 연구는 비파괴검사를 비롯하여 광범위한 공학분야에서 중요한 역할을 하고 있다. 특히 파형의 산란문제가 많은 연구자들에 의해 다양한 방법으로 연구되고 있다. 실린더 또는 구와 같은 간단한 형상을 지닌 산란체에 대하여, 정상상태 탄성파의 산란문제의 해석은 해석적 기법을 이용한 연구가 가능하다. 하지만 임의의 형상을 갖는 산란체 또는 다수의 함유체에 대한 해석에는 수치해석방법이 요구된다. 예를 들면, 무한요소법 또는 Global-Local 유한요소법이라고 하는 혼성 유한요소법과 같은 특수한 유한요소법등이 개발되고 있다. 최근에는 경계요소법을 사용한 산란문제의 해석에 대한 연구가 진행되고 있다. 본 논문에서는 다수의 임의의 형상을 갖는 함유체, 공동 또는 크랙을 포함하고있는 무한고체에서의 일반적인 탄성동력학 문제를 해석하기 위해 새롭게 개발된 체적적분 방정식법을 소개한다. 또한 경계요소법을 사용하여 탄성파의 산란문제에 대한 수치해석을 수행하였으며, 이의 결과를 체적적분 방정식법의 결과와 비교 검토 하였다.

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Effect of Fiber Volume Fraction on the Stress Intensity Factors for Multi Layered Composites Under Arbitrary Anti-Plane Shear Loading

  • Kim, Sung-Ho;Lee, Kang-Yong;Joo, Sung-Chul
    • Journal of Mechanical Science and Technology
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    • 제14권9호
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    • pp.920-927
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    • 2000
  • A multi-layered orthotropic material with a center crack is subjected to an anti-plane shear loading. The problem is formulated as a mixed boundary value problem by using the Fourier integral transform method. This gives a Fredholm integral equation of the second kind. The integral equation is solved numerically and anti-plane shear stress intensity factors are analyzed in terms of the material orthotropy for each layer, number of layers, crack length to layer thickness and the order of the loading polynomial. Also, the case of monolithic and hybrid composites are investigated in terms of the local fiber volume fraction and the global fiber volume fraction.

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대형부체구조물(大型浮體構造物)의 유(流).탄성(彈性) 연성거동에 관한 실험적 고찰 (A Experimental Study on the Hydroelastic Behavior of Large Floating Offshore Structures)

  • 이상엽
    • 한국공간구조학회논문집
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    • 제1권2호
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    • pp.101-110
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    • 2001
  • A large floating structure is attracting great attention in recent years from the view of ocean space utilization. Its huge scale in the horizontal directions compared with the wavelength and relatively shallow depth make this type of floating structure flexible and its wave-induced motion be characterized by the elastic deformation. In this paper, a boundary integral equation method is proposed to predict the wave-induced dynamic response mat-like floating offshore structure. The structure is modeled as an elastic plate and its elastic deformation is expressed as a superposition of free-vibration modes in air. This makes it straightforward to expand the well-established boundary integral technique for rigid floating bodies to include the hydroelastic effects. In order to validate the theoretical analysis, we compare with the experimental result of reduced model test. Satisfactory agreement is found between theory and experiment.

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대형부체구조물(大型浮體構造物)의 유체(流體)·탄성체(彈性體) 연성거동의 이론적 해석에 관한 연구(硏究) (A theoretical study on the hydroelastic behavior of Large floating offshore structures)

  • 이상엽;나용호
    • 한국산업융합학회 논문집
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    • 제4권4호
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    • pp.433-439
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    • 2001
  • A large floating structure is attracting great attention in recent years from the view of ocean space utilization. Its huge scale in the horizontal directions compared with the wavelength and relatively shallow depth make this type of floating structure flexible and its wave-induced motion be characterized by the elastic deformation. In this paper, a boundary integral equation method is proposed to predict the wave-induced dynamic response mat-like floating offshore structure. The structure is modeled as an clastic plate and its elastic deformation is expressed as a superposition of free-vibration modes in air. This makes it straightforward to expand the well-established boundary integral technique for rigid floating bodies to include the hydroelastic effects. In order to validate the theoretical analysis, we compare with the experimental result of previous model test. Satisfactory agreement is found between theory and experiment.

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전자파 산란문제를 해결하기 위한 혼합 유한요소법에 관한 연구 (A Study on Hybrid Finite Element Method for Solving Electromagnetic Wave Scattering)

  • 박동희;강찬석;안정수
    • 한국전자파학회지:전자파기술
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    • 제4권1호
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    • pp.38-43
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    • 1993
  • 다충유전체주로 부터 전자장산란 문제를 해석하기 위하여 혼합유한요소방법을 적용하였다. 실질적으로 펀미분방정식의 해가 주어지는 무경계화된 영역은 국소경계영역으로 나누어지게 되고, 나머지 무경 계영역은 경계적분방정식으로 나타내게 된다. 나누어진 국소표면은 원천, 비균질성과 비등방성을 포함 하도록 정의한다. 따라서, 정의된 국소경계영역에서 미분볍이 사용된다. 또한 나머지 경계영역에서 경계 적분방정식이 단지 자유공간Green 함수를 사용하도록 수식화 될 것이다. 그 결과로서, 국소경계는 경계조건을 갖는 경계값 문제로 나타나게 되고, 유한요소법으로 해석된다. 제시된 방법의 장점은 전자장 산란연구에 보다 간략하고, 효율적이다. 결과의 타당성은 다른방볍(경계 요소법)파 비교하여 입증하였다. 확장된 수치해석의 예로서 임의의 단면을 갖는 손실유전체주의 산란장을 해석하여 제시했다.

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