• 제목/요약/키워드: constant boundary-value problem

검색결과 23건 처리시간 0.028초

A 3-Dimentional Radiation Diffraction Problem Analysis by B-Spline Higher-Order Panel Method

  • Kim Gun-Do;Lee Chang-Sup
    • Journal of Ship and Ocean Technology
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    • 제10권1호
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    • pp.10-26
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    • 2006
  • The radiation problem for oscillating bodies on the free surface has been formulated by the over-determined Green integral equation, where the boundary condition on the free surface is satisfied by adopting the Kelvin-type Green function and the irregular frequencies are removed by placing additional control points on the free surface surrounded by the body. The B-Spline based higher order panel method is then applied to solve the problem numerically. Because both the body geometry and the potential on the body surface are represented by the B-Splines, that is in polynomials of space parameters, the unknown potential can be determined accurately to the order desired above the constant value. In addition, the potential expressed in B-Spline can be differentiated analytically to get the velocity on the surface without introducing any numerical error. Sample computations are performed for a semispherical body and a rectangular box floating on the free surface for six-degrees of freedom motions. The added mass and damping coefficients are compared with those by the already-validated constant panel method of the same formulation showing strikingly good agreements.

수심 제한을 고려한 수중 글라이더 경로 최적화 (Trajectory Optimization for Underwater Gliders Considering Depth Constraints)

  • 윤석민;김진환
    • 한국해양공학회지
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    • 제28권6호
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    • pp.560-565
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    • 2014
  • In this study, the problem of trajectory optimization for underwater gliders considering depth constraints is discussed. Typically, underwater gliders are controlled to dive and climb in a saw-tooth pattern at constant gliding angles. This approach is effective and close to optimal for deep water applications. However, the optimal path deviates from the saw-tooth path in shallow water conditions. This study focuses on finding more efficient gliding paths that can minimize the traverse time in the horizontal plane when the water depth is limited. The trajectory optimization problem is formulated into a minimum time control problem with inequality path constraints and hydrodynamic drag effects. A numerical approach based on the pseudo-spectral method is adopted as a solution approach, and the simulation results are presented.

SPECTRAL ANALYSIS OF THE INTEGRAL OPERATOR ARISING FROM THE BEAM DEFLECTION PROBLEM ON ELASTIC FOUNDATION I: POSITIVENESS AND CONTRACTIVENESS

  • Choi, Sung-Woo
    • Journal of applied mathematics & informatics
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    • 제30권1_2호
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    • pp.27-47
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    • 2012
  • It has become apparent from the recent work by Choi et al. [3] on the nonlinear beam deflection problem, that analysis of the integral operator $\mathcal{K}$ arising from the beam deflection equation on linear elastic foundation is important. Motivated by this observation, we perform investigations on the eigenstructure of the linear integral operator $\mathcal{K}_l$ which is a restriction of $\mathcal{K}$ on the finite interval [$-l,l$]. We derive a linear fourth-order boundary value problem which is a necessary and sufficient condition for being an eigenfunction of $\mathcal{K}_l$. Using this equivalent condition, we show that all the nontrivial eigenvalues of $\mathcal{K}l$ are in the interval (0, 1/$k$), where $k$ is the spring constant of the given elastic foundation. This implies that, as a linear operator from $L^2[-l,l]$ to $L^2[-l,l]$, $\mathcal{K}_l$ is positive and contractive in dimension-free context.

A semi-analytical solution to spherical cavity expansion in unsaturated soils

  • Tang, Jianhua;Wang, Hui;Li, Jingpei
    • Geomechanics and Engineering
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    • 제25권4호
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    • pp.283-294
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    • 2021
  • This paper presents a rigorous solution for spherical cavity expansion in unsaturated soils under constant suction condition. The hydraulic behavior that describes the saturation-suction relationship is modeled by a void ratio-dependent soil-water characteristic curve, which allows the hydraulic behavior to fully couple with the mechanical behavior that is described by an extended critical state soil model for unsaturated soil through the specific volume. Considering the boundary condition and introducing an auxiliary coordinate, the problem is formulated to a system of first-order differential equations with three principal stress components and suction as basic unknowns, which is solved as an initial value problem. Parameter analyses are conducted to investigate the effects of suction and the overconsolidation ratio on the overall expansion responses, including the pressure-expansion response, the distribution of the stress components around the cavity, and the stress path of the soil during cavity expansion. The results reveal that the expansion pressures and the distribution of the stress components in unsaturated soils are generally higher than those in saturated soils due to the existence of suction.

회귀알고리즘을 이용한 자원예측 및 위험관리를 위한 의사결정 시스템 (Decision-making system for the resource forecasting and risk management using regression algorithms)

  • 한형철;정재훈;김신령;김영곤
    • 한국인터넷방송통신학회논문지
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    • 제15권6호
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    • pp.311-319
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    • 2015
  • 본 논문에서는 산업공장 내의 생산 효율을 높이기 위하여 제조공정 자원을 예측하고 위험 관리를 효율적으로 이행하는 자원예측 및 위험관리를 위한 의사결정 시스템을 제안하였다. 각 공정에서 발생되는 다양한 정보들을 효율적으로 관리하는 세부 공정별 시나리오 생성이 어렵고, 동일한 공정 내에서도 다양한 제품의 생산하기 위해 제조 설비의 조건 변경이 빈번하다. 제품의 생산 주기 또한 일정하지 않아 연속되지 않은 데이터가 발생하여 소량의 데이터로 변동을 확인해야 하는 문제점이 있다. 이러한 문제점을 해결하기 위해서는 제조공정의 데이터 일원화, 공정 자원 예측, 위험 예측, 공정 현황 모니터링을 통하여 문제 발생시 즉각 조치가 가능하여야 한다. 본 논문에서는 설계도면 변경 범위, 자원 예측, 공정 완료 예정일을 회귀알고리즘을 이용하여 수식을 도출하였으며, 분류 트리 기법, 경계값 분석을 통하여 3단계로 의사결정 시스템을 제안하였다.

STS304 열화재의 부식및 부 식피로특성 (Corrosion and Corrosion Fatigue Characteristics of Artificially Sensitized STS 304)

  • 한지원;배동호
    • 한국안전학회지
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    • 제25권6호
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    • pp.28-33
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    • 2010
  • Stainless steel is useful material for various industrial facilities such as the nuclear and steam power plant and the heavy chemical industry due to its good corrosion resistance and mechanical properties. However, it has also a large problem that is sensitized in the welding process and its corrosion resistance and mechanical properties decreases by sensitization. Thus, corrosion and corrosion fatigue characteristics of artificially sensitized austenitic STS304 were investigated through the EPR test and corrosion fatigue test. Obtained results are as follows: 1) According to the sensitizing period increase, Cr deficiency layer is linearly expanded. 2) Degree of sensitization(Ia/Ir) proportionally increased with sensitizing period. However, after 4hrs, it showed constant value. 3) Cr-carbide($Cr_{23}C_6$) in the grain boundary increased as sensitizing period increases until six hours. 4) corrosion fatigue strength of sensitized STS304 were remarkably reduced compare to non-sensitized ones.

상이한 직교이방성 띠판에 대한 면외변형 하의 반무한 등속 평행균열에서의 응력확대계수 (Stress intensity factor of semi-infinite parallel crack propagated with constant velocity in dissimilar orthotropic strip under out-of-plane deformation)

  • 박재완;권용수;정재택;최성렬
    • 대한기계학회논문집A
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    • 제21권3호
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    • pp.447-456
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    • 1997
  • Stress intensity factor of semi-infinite parallel crack propagation with constant velocity in dissimilar orthotropic strip under out-of-plane clamped desplacement is investigated. Using Fourier integral transforms the boundary value problem is derived by a pair of dual integral equation and finally reduced to a single Wiener-Hopf equation. By applying Wiener-Hopf technique the equation is solved. Applying this result the asymptotic stress fields near the crack tip are determined, from which the stress intensity factor is obtained in closed form. The more the ratio of anisotropy or the ratio of bi-material shear modulus increase in the main material including the crack, the more the stress intensity factor increases. Discontinuity in the stress intensity factor is found as the parallel crack approaches the interface. In special case, the results of isotropic materials agree well with those by the previous researchers.

원통형 진동수주 파력발전장치에 의한 파 에너지 흡수 (Wave Energy Absorption by a Circular Cylinder Oscillating Water Column Device)

  • 조일형
    • 한국해안해양공학회지
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    • 제14권1호
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    • pp.8-18
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    • 2002
  • 본 논문에서는 밑이 뚫린 원통형 진동수주 파력발전장치에 의한 파 에너지 흡수효율을 살펴보았다. 경계치 문제는 공기실내의 변동압력이 없을 때 입사파에 의한 산란문제와 공기실 내부의 변동압력에 의한 방사문제로 나누어진다. 공기실 내에서 공기 흐름에 대한 연속방정식을 적용하여 변동압력을 구하였다. 이로부터 진동수주 파력발전장치가 흡수한 시간평균 마력과 에너지 취득 폭을 구하였다. 수치계산에서는 원통형 공기실의 반지름과 잠긴 깊이 그리고 입사파의 주파수를 바꿔가면서 공기실 내부의 유량 변화와 에너지 취득 폭을 살펴보았다. 수학적으로 구한 최적의 터빈 상수를 대입하며 구한 에너지 취득 폭의 최대값은 원통형 공기실의 공진 모드 중에서 첫 번째 공진 모드인 Helmholtz모드에서 나타난다. 따라서 효율적인 파력발전장치를 제작하기 위해서는 설치될 해역의 파의 주파수와 공기실의 고유주파수가 일치되도록 공기실의 형상을 설계하여야 한다.

초대형 컨테이너선박 방향타의 캐비테이션 수치계산 및 검증 (Numerical Calculation and Validation for Rudder Cavitation of a Large Container Ship)

  • 김건도;문일성;김경열;반석호;이창섭
    • 대한조선학회논문집
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    • 제43권5호
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    • pp.568-577
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    • 2006
  • With the increase of ship size and speed, the loading on the propeller is increasing, which in turn increases the rotational speed in the propeller slipstream. The rudder placed in the propeller slip stream is therefore subject to severe cavitation with the increased angle of attack due to the increased rotational induction speed of the propeller. In the present paper the surface panel method, which has been proved useful in predicting the sheet cavitation on the propeller blade, is applied to solve the cavity boundary value problem on the rudder. The problem is then solved numerically by discretizing the rudder and cavity surface elements of the quadrilateral panels with constant strengths of sources and dipoles. The strengths of the singularities are determined satisfying the boundary conditions on the rudder and cavity surfaces. The extent of the cavity, which is unknown a priori, is determined by iterative procedure. Series of numerical experiments are performed increasing the degree of complexity of the rudder geometry and oncoming flows from the simple hydrofoil case to the real rudder in the circumferentially averaged propeller slipstream. Numerical results are presented with experimental results.

양력판 이론에 의한 2차원 수중익의 부분 캐비티 문제 해석 (A Potential-Based Panel Method for the Analysis of a 2-Dimensional Partially Cavitating Hydrofoil)

  • 이창섭
    • 대한조선학회지
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    • 제26권4호
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    • pp.27-34
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    • 1989
  • 부분 캐비티가 발생한 2차원 수중익 문제를 해결하기 위하여 포텐시얼을 기저로 한 양력판 이론이 정식화 되었다. 본 이론은 수중익 표면에 다이폴과 쏘오스를 분포함으로써 각각 양력 및 캐비티 문제를 표현하고 있다. 날개표면의 접수부에서의 운동학적 경계조건은 날개의 내부유동에서의 전체 포텐시얼이 영이 된다는 대등한 조건으로 만족되었다. 캐비티 표면에서의 역학적 경계조건은 압력이 일정하다는 즉 속도가 일정하다는 조건을 거쳐 포텐시얼이 선형적으로 변한다는 조건으로 대치되었으며, 운동학적 조건은 특이함수의 세기가 결정된 후에 적분에 의하여 캐비티의 형상을 구하는데에 사용되었다. 따라서 Green 정리를 사용하면, 속도를 기저로 하는 통상적인 정식화가 아닌, 포텐시얼을 기저로 한 경계치 문제가 완성된다. 또한 수중익의 정확한 표면에 특이함수를 분포함으로써, 날개두께가 영인 수중익 신경 이론에 비하여, 날개표면에서의 압력분포의 정도를(특히 날개 앞날부근에서) 향상시켰다. 본 이론에서는 캐비티 길이를 가정하고 이에 대응하는 캐비티의 모양과 캐비테이션수를 계산하였다. 계산정도의 향상을 위하여 약 5회정도의 반복계산이 필요하지만 공학적 목적을 위해서는 2회의 반복계산이 충분함을 보였다.

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