• 제목/요약/키워드: semi-linear equation

검색결과 58건 처리시간 0.022초

받음각을 갖는 평판의 유체 충격 시뮬레이션 (Numerical Simulation for Fluid Impact Loads by Flat Plate with Incident Angles)

  • 이병혁;정성준;류민철;김용수;박종천
    • 대한조선학회논문집
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    • 제45권1호
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    • pp.1-9
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    • 2008
  • The free-surface motions interacting with structures are investigated numerically using the Moving Particle Semi-implicit (MPS) method proposed by Koshizuka et al. (1996) for solving incompressible flow. In the method, Lagrangian moving particles are used instead of Eulerian approach using grid system. Therefore the terms of time derivatives in Navier-Stokes equation can be directly calculated without any numerical diffusion or instabilities due to the fully Lagrangian treatment of fluid particles and topological failure never occur. The MPS method is applied to the numerical study on the fluid impact loads for wet-drop tests in a LNG tank, and the results are compared with experimental ones.

회전원판 근처에서 회전하는 유연디스크에 대한 실험 및 수치해석 (Experimental and Numerical Study on an Air-Stabilized Flexible Disk Rotating Close to a Rigid Rotating Disk)

  • 가드압델라솔;임윤철
    • 정보저장시스템학회논문집
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    • 제5권1호
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    • pp.19-35
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    • 2009
  • The present work is an experimental and analytical study on a flexible disk rotating close to a rigid rotating disk in open air. In the analytical study, the air flow in the gap between the flexible disk and the rigid disk is modeled using Navier-Stokes and continuity equations while the flexible disk is modeled using the linear plate theory. The flow equations are discretized using the cell centered finite volume method (FVM) and solved numerically with semi-implicit pressure-linked equations (SIMPLE algorithm). The spatial terms in the disk equation are discretized using the finite difference method (FDM) and the time integration is performed using fourth-order Runge-Kutta method. An experimental test-rig is designed to investigate the dynamics of the flexible disk when rotating close to a co-rotating, a counter-rotating and a fixed rigid disk, which works as a stabilizer. The effects of rotational speed, initial gap height and inlet-hole radius on the flexible disk displacement and its vibration amplitude are investigated experimentally for the different types of stabilizer. Finally, the analytical and experimental results are compared.

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Thermo-mechanical vibration analysis of temperature-dependent porous FG beams based on Timoshenko beam theory

  • Ebrahimi, Farzad;Jafari, Ali
    • Structural Engineering and Mechanics
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    • 제59권2호
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    • pp.343-371
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    • 2016
  • In this paper thermo-mechanical vibration analysis of a porous functionally graded (FG) Timoshenko beam in thermal environment with various boundary conditions are performed by employing a semi analytical differential transform method (DTM) and presenting a Navier type solution method for the first time. The temperature-dependent material properties of FG beam are supposed to vary through thickness direction of the constituents according to the power-law distribution which is modified to approximate the material properties with the porosity phases. Also the porous material properties vary through the thickness of the beam with even and uneven distribution. Two types of thermal loadings, namely, uniform and linear temperature rises through thickness direction are considered. Derivation of equations is based on the Timoshenko beam theory in order to consider the effect of both shear deformation and rotary inertia. Hamilton's principle is applied to obtain the governing differential equation of motion and boundary conditions. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of several parameters such as porosity distributions, porosity volume fraction, thermal effect, boundary conditions and power-low exponent on the natural frequencies of the FG beams in detail. It is explicitly shown that the vibration behavior of porous FG beams is significantly influenced by these effects. Numerical results are presented to serve benchmarks for future analyses of FG beams with porosity phases.

Natural vibrations and hydroelastic stability of laminated composite circular cylindrical shells

  • Bochkareva, Sergey A.;Lekomtsev, Sergey V.
    • Structural Engineering and Mechanics
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    • 제81권6호
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    • pp.769-780
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    • 2022
  • This paper studies the dynamic behavior of laminated composite circular cylindrical shells interacting with a fluid. The mathematical formulation of the dynamic problem for an elastic body is developed based on the variational principle of virtual displacements and the relations of linear elasticity theory. The behavior of an ideal compressible fluid is described by the potential theory, the equations of which together with boundary conditions are transformed to a weak form. The hydrodynamic pressure exerted by the fluid on the internal surface of the shell is calculated according to the linearized Bernoulli equation. The numerical implementation of the mathematical formulation has been done using the semi-analytical finite element method. The influence of the ply angle and lay-up configurations of laminated composites on the natural vibration frequencies and the hydroelastic stability boundary have been analyzed for shells with different geometrical dimensions and under different kinematic boundary conditions set at their edges. It has been found that the optimal value of the ply angle depends on the level of filling of the shell with a fluid. The obtained results support the view that by choosing the optimal configuration of the layered composite material it is possible to change upwards or downwards the frequency and mode shape, as well as the critical velocity for stability loss over a wide range.

일정경사면에서의 파에너지 바닥마찰손실계수 (Frictional Wave Energy Dissipation Factor on Uniform Sloping Beach)

  • 유동훈;엄호식;장문엽
    • 한국해안·해양공학회논문집
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    • 제22권2호
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    • pp.73-78
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    • 2010
  • 파에너지는 쇄파되기 이전까지 주로 해저면과의 마찰력에 의하여 감소한다. 파마찰력을 산정하기 위한 연구는 여러 연구자들에 의해 진행되어 왔으며 어느 특정지점에서의 파마찰력 또는 파마찰손실률은 선형파이론으로 주어지는 해저면 입자유속과 연관된 파마찰계수의 도입으로 상당히 정확하게 간단하게 산정할 수 있다. 그러나 장구간에 걸쳐 파마찰력에 의하여 점차적으로 감소되는 파고변이는 상당한 반복 과정을 거쳐야 산정할 수 있었다. 본 연구에서는 기존 경험식을 이용해 전난류, 완난류 경우에 대해 일정경사면에서 천수효과와 마찰손실에 의한 파고 변화를 비교적 간단한 방법으로 추정하는 방법을 제시하였다. 해빈경사가 일정할 때 파고 변이률은 천수계수와 파고 마찰손실계수의 곱으로 간단히 구할 수 있다. 실제 해안과 비슷한 조건의 경우에 대하여 반복시산 과정으로 구한 수치와 간편 산정식으로 간단히 계산한 결과를 비교하여 제시하였다.

유류 오염물질에 대한 불포화대 자연 저감능 등급화 기법 개발 (A New Evaluation Model for Natural Attenuation Capacity of a Vadose Zone Against Petroleum Contaminants)

  • 우희수;안성남;김기범;박새롬;오성직;김상현;정재식;이승학
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제27권spc호
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    • pp.92-98
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    • 2022
  • Although various methods have been proposed to assess groundwater vulnerability, most of the models merely consider the mobility of contaminants (i.e., intrinsic vulnerability), and the attenuation capacity of vadose zone is often neglected. This study proposed an evaluation model for the attenuation capacity of vadose zone to supplement the limitations of the existing index method models for assessing groundwater vulnerability. The evaluation equation for quantifying the attenuation capacity was developed from the combined linear regression and weighted scaling methods based on the lab-scale experiments using various vadose zone soils having different physical and biogeochemical properties. The proposed semi-quantifying model is expected to effectively assess the attenuation capacity of vadose zone by identifying the main influencing factors as input parameters together with proper weights derived from the coefficients of the regression results. The subsequent scoring and grading system has great versatility while securing the objectivity by effectively incorporating the experimental results.

반고형 식품류의 정상유동특성 및 동적 점탄성 (Steady Shear Flow and Dynamic Viscoelastic Properties of Semi-Solid Food Materials)

  • 송기원;장갑식
    • 유변학
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    • 제11권2호
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    • pp.143-152
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    • 1999
  • 본 연구에서는 Rheometrics Fluids Spectrometer(RFS II)를 사용하여 세 종류의 상용 반고형 식품(마요네즈, 토마토 케찹, 와사비)의 정상유동특성 및 소진폭 전단변형하에서의 동적 점탄성을 광범위한 전단속도와 각주파수 영역에서 측정하였다. 이들 측정결과로부터 정상유동특성의 전단속도 의존성 및 동적 점탄성의 각주파수 의존성을 보고하였다. 그리고 항복응력의 항을 갖는 몇 가지 점소성 유동모델을 사용하여 정상유동특성을 정량적으로 평가하고 이들 모델의 적용성을 비교.검증하였다. 나아가서 수정된 형태의 지수법칙 관계식을 도입하여 정상유동특성(비선형 거동)과 동적 점탄성(선형 거동)간의 상관관계에 대해 검토하였다. 이상의 연구를 통해 얻어진 결과를 요약하면 다음과 같다. (1) 반고형 식품류는 상당한 크기의 항복응력을 갖는 점소성 물질로서 전단속도가 증가할수록 정상류점도가 급격히 감소하는 shear-thinning 거동을 나타낸다. (2) Herschel-Bulkley 모델, Mizrahi-Berk 모델 및 Heinz-Casson 모델은 반고형 식품류의 정상유동거동을 잘 기술할 수 있다. 이들 중에서도 Heinz-Casson 모델이 가장 우수한 적용성을 갖는다 (3) 반고형 식품류는 임계 전단속도를 경계로 shear-thinning 특성이 변화한다. 즉 낮은 전단속도에 비해 높은 전단속도 영역에서 분산입자 응집체의 구조파괴가 더욱 활발하게 진행되어 보다 현저한 shear-thinning 특성을 나타낸다. (4) 저장 탄성률 및 손실탄성률은 양자 모두 각주파수가 증가할수록 점차로 증가하나 각주파수 의존성은 그다지 크지 않다. 또한 광범위한 각주파수 영역에서 탄성적 성질이 점성적 성질에 비해 보다 우세하게 나타난다. (5) 정상류점도, 동적점도 및 복소점도는 모두 power-law 모델의 거동을 잘 만족한다. 또한 정상유동특성과 동적 점탄성간의 상관관계는 수정된 형태의 지수법칙 관계식에 의해 잘 기술될 수 있다.

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2차원 단순 물체의 초공동 유동에 대한 수치해석 (Numerical Analysis of Supercavitating Flows of Two-Dimensional Simple Bodies)

  • 이현배;최정규;김형태
    • 대한조선학회논문집
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    • 제50권6호
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    • pp.436-449
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    • 2013
  • In this paper, a numerical analysis is carried out to study the characteristics of supercavitating flows and the drag of relatively simple two-dimensional and axisymmetric bodies which can be used for supercavity generation device, cavitator, of a high-speed underwater vehicle. In order to investigate the suitability of numerical models, cavity flows around the hemispherical head form and two-dimensional wedge are calculated with combinations of three turbulence models(standard $k-{\epsilon}$, realizable $k-{\epsilon}$, Reynolds stress) and two cavitation models(Schnerr-Sauer, Zwart-Gerber-Belamri). From the results, it is confirmed that the calculated cavity flow is more affected by the turbulence model than the cavitation model. For the calculation of steady state cavity flows, the convergence in case of the realizable $k-{\epsilon}$ model is better than the other turbulence models. The numerical result of the Schnerr-Sauer cavitation model is changed less by turbulence model and more robust than the Zwart-Gerber-Belamri model. Thus the realizable $k-{\epsilon}$ turbulence model and the Schnerr-Sauer cavitation model are applied to calculate supercavitating flows around disks, two dimensional $10^{\circ}$ and $30^{\circ}$ wedges. In case of the disk, the cavitation number dependences of the cavity size and the drag coefficient predicted are similar to either experimental data or Reichardt's semi-empirical equations, but the drag coefficient is overestimated about 3% higher than the Reichardt's equation. In case of the wedges, the cavitation number dependences of the cavity size are similar to experimental data and Newman's linear theory, and the agreement of the cavity length predicted and Newman's linear theory becomes better as decreasing cavitation number. However, the drag coefficients of wedges agree more with experimental data than those of Newman's analytic solution. The cavitation number dependences of the drag coefficients of both the disk and the wedge appear linear and simple formula for estimating the drag of supercavitating disks and wedges are suggested. Consequently, the CFD scheme of this study can be applied for numerical analysis of supercavitating flows of the cavitator and the cavitator design.

경계요소법에 의한 2차원 탄소성응력해석 (Two Dimensional Elasto-plastic Stress Analysis by the B.E.M.)

  • 조희찬;김희송
    • 대한기계학회논문집
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    • 제16권4호
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    • pp.621-629
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    • 1992
  • 본 연구에서는 Kelvin의 기본해와 초기응력 증분에 의해 정식화된 경계적분방 정식을 이용하여 점차적으로 외력을 증가시켰을 때, 선형등방경화재에 국부적으로 생 기는 항복영역과 항복하중, 탄소성 응력해석등을 재료비선형문제로 해석하였다. 이 때 초기응력 증분을 결정함에 있어서 종래에는 등가 소성변형률을 수렴판정으로 해석 하였지만, 이는 구분적인 선형 경화재와 온도 의존성 문제에는 적당하지 않으므로 암 기용일등은 등가응력과 응력-변형률 선도를 이용하여 수렴판정을 하였다. 그러나 이 방법은 소성역에서의 기울기가 변화하는 곳에서는 피할 수 없는 오차가 존재한다. 따라서 여기에서는 계산된 초기응력 증분에 의한 초기 탄성변형률에너지 증분과 응력 -변형률선도로 부터 구해지는 초기 탄성변형률에너지 증분을 이용한 수렴판정으로 초 기응력증분을 결정하였다. 또한, 내부영역적분을 일부 해석적인 적분과 수치적분을 병행한 경우와 전부 수치적분방법으로 내압을 받는 실린더와 단순 인장하중이 작용하 는 양편 Ⅴ형 노치를 갖는 박판의 경우에 적용하여 해석하였으며, 그 결과를 유한요소 법 프로그램인 NISA(numerically integrated elements for system analysis)로 구한 결과치와 비교, 고찰하였다.

한국 흑염소에 있어서 Indocyanine Green 배설시험 (Indocyanine Green Excretion Test in Korean Black Goats)

  • 이성엽;이창우
    • 한국임상수의학회지
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    • 제4권2호
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    • pp.473-481
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    • 1987
  • This experiment was performed in order to establish a proper method to determine the half life of indocyanine green(ICG T$\frac{1}{2}$) and its fractional clearance rate(KICG) and investigate the applicability of indocyanine green ( ICG ) excretion test in hepatotoxicity experiment in Korean black goats. The results were as follows : 1. Maximum absorbance of ICG in plasma was at 810 nm in this experiment. 2. The coefficient of correlation between the results obtained by standard method and potassium cyanide method was 0.99 and the regression equation between two methods was y=0.9996 x+0.0065. 3. As the disappearance curve of ICG plotted in semi-log graph revealed linear pattern at least for 6 minutes after injection, the postinjection blood samples were decided to collect at 2 and 6 minutes after ICG injection. 4. ICG T$\frac{1}{2}$ and KICG values were not affected by dose level of ICG. 5. When 0.25 mg of ICG per kg body weight was administered the normal data of ICG T$\frac{1}{2}$ and KICG in Korean black goa were 1.468${\pm}$0.197 minutes(mean${\pm}$SD) and 0.482${\pm}$0.076/minutes respectively. 6. After administration of carbon tetracholride. the ICG T$\frac{1}{2}$ started to increase acutely from day 1, revealed the peak at day 3, and then returned almostly but not completely to preinjection level at day 14. The ICG T$\frac{1}{2}$ value was suggested to be a sensitive indicator of hepatic injury in Korean black goats.

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