• 제목/요약/키워드: surface integral method

검색결과 295건 처리시간 0.023초

Derivation of Analytic Formulas and Numerical Verification of Weakly Singular Integrals for Near-Field Correction in Surface Integral Equations

  • Rim, Jae-Won;Koh, Il-Suek
    • Journal of electromagnetic engineering and science
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    • 제17권2호
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    • pp.91-97
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    • 2017
  • An accurate and efficient evaluation for hypersingular integrals (HIs), strongly singular integrals (SSIs), and weakly singular integrals (WSIs) plays an essential role in the numerical solutions of 3D electromagnetic scattering problems. We derive analytic formulas for WSIs based on Stokes' theorem, which can be expressed in elementary functions. Several numerical examples are presented to validate these analytic formulas. Then, to show the feasibility of the proposed formulations for numerical methods, these formulations are used with the existing analytical expressions of HIs and SSIs to correct the near-field interaction in an iterative physical optics (IPO) scheme. Using IPO, the scattering caused by a dihedral reflector is analyzed and compared with the results of the method of moments and measurement data.

TRANSIENT THERMOELASTIC STRESS ANALYSIS OF A THIN CIRCULAR PLATE DUE TO UNIFORM INTERNAL HEAT GENERATION

  • GAIKWAD, KISHOR R.;NANER, YOGESH U.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제24권3호
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    • pp.293-303
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    • 2020
  • The present work aims to analyzed the transient thermoelastic stress analysis of a thin circular plate with uniform internal heat generation. Initially, the plate is characterized by a parabolic temperature distribution along the z-direction given by T = T0(r, z) and perfectly insulated at the ends z = 0 and z = h. For times t > 0, the surface r = a is subjected to convection heat transfer with convection coefficient hc and fluid temperature T. The integral transform method used to obtain the analytical solution for temperature, displacement, and thermal stresses. The associated thermoelastic field is analyzed by making use of the temperature and thermoelastic displacement potential function. Numerical results are carried out with the help of computational software PTC Mathcad Prime-3.1 and shown in figures.

THERMAL STRESSES IN A SEMI-INFINITE SOLID CYLINDER SUBJECTED TO INTERNAL HEAT GENERATION

  • DESHMUKH, KISHOR CHINTANAMRAO;QUAZI, YUSUF IQBAL
    • 대한수학회논문집
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    • 제30권4호
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    • pp.505-513
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    • 2015
  • The present paper deals with the determination of displacement and thermal stresses in a semi-infinite circular cylinder defined as $0{\leq}r{\leq}b$, $0{\leq}z<{\infty}$, due to internal heat generation within it. A circular cylinder is considered having arbitrary initial temperature and subjected to time dependent heat flux at the fixed circular boundary (r = b) whereas the zero temperature at the lower surface (z = 0) of the semi-infinite circular cylinder. The governing heat conduction equation has been solved by using integral transform method. The results are obtained in series form in terms of Bessel functions. The results for displacement and stresses have been computed numerically and illustrated graphically.

Neumann-Kelvin 이론에 의한 조파 저항의 수치 계산 (Numerical Calculations of the Wave Resistance of Ships by Neumann-Kelvin Theory)

  • 어민우;손봉룡;강신형
    • 대한조선학회지
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    • 제24권2호
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    • pp.1-10
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    • 1987
  • The wave resistance of ships is calculated with the numerical solution of the Newmann-Kelvin problem. For the sake of the numerical evaluation of the Green function, Shen and Farell's method is used[7]. In particular, the contribution of the line integral term in the Neumann-Kelvin problem to the calculated values of the wave resistance is shown. For the Wigley's hull the calculated values of the wave resistance and the wave profiles at the hull surface are in fairly good agreement with the experimental data. However, for the series 60 hull and the practical hull, a 454,000 cubic feet reefer vessel, the calculated results of the wave resistance show definte hollows and humps considering the experimental result.

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적응제어기법을 이용한 수면근처에서 운항하는 몰수체의 심도제어기 설계 (Depth Controller Design for Submerged Body Moving near Free Surface Based on Adaptive Control)

  • 박종용;김낙완;윤현규;김수용;조현진
    • 한국해양공학회지
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    • 제29권3호
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    • pp.270-282
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    • 2015
  • A submerged body moving near the free surface needs to maintain its attitude and position to accomplish missions. It is necessary to validate the performance of a designed controller before a sea trial. The hydrodynamic coefficients of maneuvering are generally obtained by experiments or computational fluid dynamics, but these coefficients have uncertainty. Environmental loads such as the wave exciting force and suction force act on the submerged body when it moves near the free surface. Thus, a controller for the submerged body should be robust to parameter uncertainty and environmental loads. In this paper, the six-degree-of-freedom equations of motions for the submerged body are constructed. The suction force is calculated using the double Rankine body method. An adaptive control method based on an artificial neural network and proportional-integral-derivative control are used for the depth controller. Simulations are performed under various depth and speed conditions, and the results show the effectiveness of the designed controller.

애주 연소 과정에서 발생하는 애주의 표면 및 중심부의 온도변화 특성 연구 (A Comparative Study of External & Central Temperature Characteristics during the Moxibustion Period)

  • 홍덕;권오상;김영진;김유리;김재효;안성훈;손인철
    • Korean Journal of Acupuncture
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    • 제27권3호
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    • pp.47-56
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    • 2010
  • Objectives : The moxibustion is the method using the heat stimulation done by attached and burned a moxa on a healing point or acupuncture point with chemical stimulation of a resin made from burning them. The purpose of this study is to find the physical and thermal characteristics of moxibustion in order to standardize the moxa therapy method. Methods : In this study, the thermal changes were observed by means of a testo 845 device, which is an infra-red thermometer to measure the thermal changes. Results & Conclusions : 1. The thermal changes on the external surface of moxibustion did not depend on the weight of the moxa; the external surface temperature was about $500^{\circ}C$. 2. The central thermal changes depend on the weight of moxa; the central temperatures ranged from $500^{\circ}C$ to $700^{\circ}C$. 3. The burning duration of moxibustion depend on the weight of moxa but that of external surface temperature did not depend on the weight of moxa in high degree : about $400^{\circ}C$. 4. The integral values of central and external temperature curves were proportional to the weight of moxa; that is central temperature curves were higher than that of external.

多重連結된 유동영역을 위한 비압축성 와도-유동함수 Navier-Stokes 방정식의 수치해법 (A numerical method for the multiply-connected flow regions governed by incompressible vorticity-stream function Navier-Stokes equations)

  • 장근식;신순철;박성근
    • 대한기계학회논문집
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    • 제12권3호
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    • pp.575-581
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    • 1988
  • 본 연구에서는 앞서의 '압력의 단가성' 개념을 재도입하여 유동함수의 경계치 설정에 수치적으로 유용하게 쓸 수 있음을 보였고, 이를 다중연결된 물체에 관한 2차 원 응용문제들에서 수렴성이 나쁘고 많은 계산시간을 요구하는 종래의 원시변수들을 이용한 수식화 과정을 벗어나, 이제는 간편하고 명확한 유동함수-와도의 방법으로 비 교적 적은 컴퓨터 시간으로 유동장의 계산이 가능하게 되었음을 보였다.

웨지가 있는 원심 임펠러의 유동장 및 방사 음향장 해석(II) -원심홴의 산란 음향장 예측- (An Analysis of the Flow Field and Radiation Acoustic Field of Centrifugal Fan with Wedge -The Prediction of the Scattered Sound Field-)

  • 이덕주;전완호
    • 대한기계학회논문집B
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    • 제25권9호
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    • pp.1165-1174
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    • 2001
  • The objective of this study is to understand the generation mechanism of sound and to develop a prediction method for the acoustic pressure field of a centrifugal fan. If the fan is operating at the free field without the casing, the acoustic analogy is a good method to predict the acoustic of the fan. But, the casing gives a dominant effect to the radiated sound field and the scattering effect of casing should be considered. So, in this paper the Kirchhoff-BEM is developed, which can consider the scattering effect of the rigid body. In order to consider the scattering and diffraction effects owing to the casing, BEM is introduced. The source of BEM is newly developed, so the sound field of the centrifugal fan can be obtained. In order to compare the predicted one with experimental data, a centrifugal impeller and a wedge are used in the numerical calculation and the results are compared with the experimental data. Reasonable results are obtained not only for the peak frequencies but also for the amplitudes of the tonal sound. The radiated acoustic field shows the diffraction and scattering effects of the wedge clearly.

개선된 입자와법을 이용한 급 출발하는 실린더 주위의 비정상 점성 유동 시뮬레이션 (Simulations of the Unsteady Viscous Flow Around an Impulsively Started Cylinder Using Improved Vortex Particle Method)

  • 진동식;이상환;이주희
    • 대한기계학회논문집B
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    • 제24권5호
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    • pp.733-743
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    • 2000
  • We solve the integral representation of the Navier-Stokes equations in a lagrangian view by tracking the particles, which have vortex strengths. We simulate the unsteady viscous flow around an impulsively started cylinder using the vortex particle method. Particles are advanced via the Biot-Savart law for a lagrangian evolution of particles. The particle strength is modified based on the scheme of particle strength exchange. The solid boundary satisfies the no-slip boundary condition by the vorticity generation algorithm. We newly modify the diffusion scheme and the boundary condition for simulating an unsteady flow efficiently. To save the computation time, we propose the mixed scheme of particle strength exchange and core expansion. We also use a lot of panels to ignore the curvature of the cylinder, and not to solve the evaluation of the surface density. Results are compared to those from other theoretical and experimental works.

중력식 콘크리트 댐에 작용하는 양압력이 응력확대계수에 미치는 영향 (An Effect of Uplift Pressure Applied to Concrete Gravity Dam on the Stress Intensity Factor)

  • 이영호;장희석;김태완;진치섭
    • 콘크리트학회논문집
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    • 제16권6호
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    • pp.841-850
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    • 2004
  • 전 세계적으로 많은 수의 크고 작은 댐이 사용되고 있으나, 콘크리트 댐의 안전성 평가에 있어서 댐 내에 필연적으로 존재하는 균열을 함께 고려한 실질적 해석은 아직 미진한 실정이다. 따라서 향후 건설될 댐에 대해서는 설계 단계에서부터 이러한 파괴역학적 해석이 뒷받침되어야 댐의 안전성 확보에 매우 유리하다고 볼 수 있다. 특히 댐 제체와 지반이 접하는 경계면은 많은 균열 발생이 예상되는 영역으로써 이 균열 사이에 작용하는 양압력의 모델링은 중력식 콘크리트 댐 해석시 매우 중요한 요소이다. 즉, 콘크리트 댐의 균열 안정성 평가는 정확한 양압력의 모델링이 선행되어야 올바른 예측이 가능하다. 댐에 있어서 양압력의 취급은 단지 댐 체제 안정성 평가를 위한 전형적인 수계산 방법으로 널리 사용되고 있으나, 양압력에 대한 유한요소 모델링 방법은 연구가 부족한 실정이다. 본 연구에서는 중력식 콘크리트 댐과 지반이 접하는 부분에 발생된 균열에 양압력이 작용할 경우, 선형탄성파괴역학의 관점에서 접근하여 양압력이 응력확대계수에 미치는 영향을 비교 분석하였다. 양압력의 분포형상은 현재 등분포로 가정한 간략해석법으로 수행되고 있으나 최근의 연구 결과에 의하면 양압력 분포형상이 균열면에 따라 변화함을 보이고 있어, 본 연구에서는 수압의 형태를 등분포 형상 외에 삼각형 분포, 제형분포 및 포물선 분포 형상에 대해서도 각각 고려하여 각 분포형상별 응력확대계수를 평가하였다. 응력확대계수의 계산은 일반 8절점 등매개변수요소를 사용한 표면적분법을 사용하였으며, 자중의 영향 및 월류 수압의 영향도 함께 고려하여 해석 결과를 나타내었다.