• 제목/요약/키워드: Hyperbolic

검색결과 1,011건 처리시간 0.024초

Bending behaviour of FGM plates via a simple quasi-3D and 2D shear deformation theories

  • Youcef, Ali;Bourada, Mohamed;Draiche, Kada;Boucham, Belhadj;Bourada, Fouad;Addou, Farouk Yahia
    • Coupled systems mechanics
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    • 제9권3호
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    • pp.237-264
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    • 2020
  • This article investigates the static behaviour of functionally graded (FG) plates sometimes declared as advanced composite plates by using a simple and accurate quasi-3D and 2D hyperbolic higher-order shear deformation theories. The properties of functionally graded materials (FGMs) are assumed to vary continuously through the thickness direction according to exponential law distribution (E-FGM). The kinematics of the present theories is modeled with an undetermined integral component and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate; therefore, it does not require the shear correction factor. The fundamental governing differential equations and boundary conditions of exponentially graded plates are derived by employing the static version of principle of virtual work. Analytical solutions for bending of EG plates subjected to sinusoidal distributed load are obtained for simply supported boundary conditions using Navier'is solution procedure developed in the double Fourier trigonometric series. The results for the displacements and stresses of geometrically different EG plates are presented and compared with 3D exact solution and with other quasi-3D and 2D higher-order shear deformation theories to verify the accuracy of the present theory.

Use of Adaptive Meshes in Simulation of Combustion Phenomena

  • Yi, Sang-Chul;Koo, Sang-Man
    • 한국결정성장학회:학술대회논문집
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    • 한국결정성장학회 1996년도 제11차 KACG 학술발표회 Crystalline Particle Symposium (CPS)
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    • pp.285-309
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    • 1996
  • Non oxide ceramics such as nitrides of transition metals have shown significant potential for future economic impact, in diverse applications in ceramic, aerospace and electronic industries, as refractory products, abrasives and cutting tools, aircraft components, and semi-conductor substrates amid others. Combustion synthesis has become an attractive alternative to the conventional furnace technology to produce these materials cheaply, faster and at a higher level of purity. However he process os highly exothermic and manifests complex dynamics due to its strongly non-linear nature. In order to develop an understanding of this process and to study the effect of operational parameters on the final outcome, numerical modeling is necessary, which would generated essential knowledge to help scale-up the process. the model is based on a system of parabolic-hyperbolic partial differential equations representing the heat, mass and momentum conservation relations. The model also takes into account structural change due to sintering and volumetric expansion, and their effect on the transport properties of the system. The solutions of these equations exhibit steep moving spatial gradients in the form of reaction fronts, propagating in space with variable velocity, which gives rise to varying time scales. To cope with the possibility of extremely abrupt changes in the values of the solution over very short distances, adaptive mesh techniques can be applied to resolve the high activity regions by ordering grid points in appropriate places. To avoid a control volume formulation of the solution of partial differential equations, a simple orthogonal, adaptive-mesh technique is employed. This involves separate adaptation in the x and y directions. Through simple analysis and numerical examples, the adaptive mesh is shown to give significant increase in accuracy in the computations.

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Prediction Intervals for Day-Ahead Photovoltaic Power Forecasts with Non-Parametric and Parametric Distributions

  • Fonseca, Joao Gari da Silva Junior;Ohtake, Hideaki;Oozeki, Takashi;Ogimoto, Kazuhiko
    • Journal of Electrical Engineering and Technology
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    • 제13권4호
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    • pp.1504-1514
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    • 2018
  • The objective of this study is to compare the suitability of a non-parametric and 3 parametric distributions in the characterization of prediction intervals of photovoltaic power forecasts with high confidence levels. The prediction intervals of the forecasts are calculated using a method based on recent past data similar to the target forecast input data, and on a distribution assumption for the forecast error. To compare the suitability of the distributions, prediction intervals were calculated using the proposed method and each of the 4 distributions. The calculations were done for one year of day-ahead forecasts of hourly power generation of 432 PV systems. The systems have different sizes and specifications, and are installed in different locations in Japan. The results show that, in general, the non-parametric distribution assumption for the forecast error yielded the best prediction intervals. For example, with a confidence level of 85% the use of the non-parametric distribution assumption yielded a median annual forecast error coverage of 86.9%. This result was close to the one obtained with the Laplacian distribution assumption (87.8% of coverage for the same confidence level). Contrasting with that, using a Gaussian and Hyperbolic distributions yielded median annual forecast error coverage of 89.5% and 90.5%.

케이블 공진을 이용한 600V 제어/계측용 꼬임쌍선 차폐 케이블의 열화상태 진단에 대한 연구 (A Study on the Deterioration Diagnosis of 600V Shielded Twisted Pair Control/Measurement Cable using Resonance Frequency)

  • 신재영;김광호;나완수
    • 전기학회논문지
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    • 제64권12호
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    • pp.1768-1775
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    • 2015
  • Recent major domestic facilities, such as nuclear power plants, many control cables are installed and are degraded by long-term use, but research on deterioration diagnosis is lacking. In the event of a fault in the cable due to deterioration can be developed into a major accident such as the main plant is stopped, so the deterioration diagnostic techniques of high reliability for the cable is required. In this paper, proposes a methodology using a cable resonance that can effectively diagnose the deterioration of the cable. Prior to the test, we developed a setup for stable measuring the characteristics of the cable and it verified the suitable of the measurement set-up in terms of interactivity and reliability, also measured S-parameters applying verified measurement set-up to the cables that deterioration degree is different. Then, we had amplified the difference in resonance frequency between the healthy state and the deteriorated state using connection in a series of measured S-parameters. In a result from the method, we have verified that the more deteriorate the cables is, the more decrease the resonance frequency is. Measured results are justified by inducing the resonance frequency calculation of the cable from the S- parameters represented by the hyperbolic function formula. VNA(Vector Network Analyzer) for S-parameter measurements used in this study is Agilent E5061B and shielded twisted-pair cables was used for deterioration diagnostic test.

Uncertainty Requirement Analysis for the Orbit, Attitude, and Burn Performance of the 1st Lunar Orbit Insertion Maneuver

  • Song, Young-Joo;Bae, Jonghee;Kim, Young-Rok;Kim, Bang-Yeop
    • Journal of Astronomy and Space Sciences
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    • 제33권4호
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    • pp.323-333
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    • 2016
  • In this study, the uncertainty requirements for orbit, attitude, and burn performance were estimated and analyzed for the execution of the $1^{st}$ lunar orbit insertion (LOI) maneuver of the Korea Pathfinder Lunar Orbiter (KPLO) mission. During the early design phase of the system, associate analysis is an essential design factor as the $1^{st}$ LOI maneuver is the largest burn that utilizes the onboard propulsion system; the success of the lunar capture is directly affected by the performance achieved. For the analysis, the spacecraft is assumed to have already approached the periselene with a hyperbolic arrival trajectory around the moon. In addition, diverse arrival conditions and mission constraints were considered, such as varying periselene approach velocity, altitude, and orbital period of the capture orbit after execution of the $1^{st}$ LOI maneuver. The current analysis assumed an impulsive LOI maneuver, and two-body equations of motion were adapted to simplify the problem for a preliminary analysis. Monte Carlo simulations were performed for the statistical analysis to analyze diverse uncertainties that might arise at the moment when the maneuver is executed. As a result, three major requirements were analyzed and estimated for the early design phase. First, the minimum requirements were estimated for the burn performance to be captured around the moon. Second, the requirements for orbit, attitude, and maneuver burn performances were simultaneously estimated and analyzed to maintain the $1^{st}$ elliptical orbit achieved around the moon within the specified orbital period. Finally, the dispersion requirements on the B-plane aiming at target points to meet the target insertion goal were analyzed and can be utilized as reference target guidelines for a mid-course correction (MCC) maneuver during the transfer. More detailed system requirements for the KPLO mission, particularly for the spacecraft bus itself and for the flight dynamics subsystem at the ground control center, are expected to be prepared and established based on the current results, including a contingency trajectory design plan.

Catadioptric 전방향 스테레오 영상시스템 및 3차원 좌표 복원 (Catadioptric Omnidirectional Stereo Imaging System and Reconstruction of 3-dimensional Coordinates)

  • 김순철;이수영
    • 한국산학기술학회논문지
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    • 제16권6호
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    • pp.4108-4114
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    • 2015
  • 광학 반사체를 이용하여 카메라 영상을 얻는 방법을 catadioptric 영상법이라고 부른다. Catadioptric 영상법은 360도 모든 방향의 시각정보를 한 장의 영상면에 담기 위한 전방향 영상 획득시스템에 많이 사용된다. 대표적인 전방향 광학 반사체로서 그릇 모양의 3차원 쌍곡면형 거울이 있다. 본 논문에서는 쌍곡면형 반사체를 이용한 catadioptric 전방향 영상 시스템에 간단히 오목 렌즈를 추가함으로써 하나의 카메라로 시점이 다른 전방향 스테레오 영상을 얻는 방법에 관해 연구하였다. 시점이 다른 전방향 스테레오 영상 정합을 통해 대상 물체의 3차원 좌표를 복원할 수 있다. 본 전방향 스테레오 영상 시스템은 한 대의 카메라를 사용하므로 경제적이며, 스테레오 영상간에 카메라 내재 매개변수가 같으므로 정합이 쉽다는 장점이 있다. 본 논문에서는 3차원 좌표값 측정에 필요한 매개변수들을 3 단계 캘리브레이션을 이용하여 추출하였고, 실험을 통해 전방향 3차원 거리측정 성능을 검증하였다. 또한 거리측정 정밀도를 분석하여 본 스테레오 영상 시스템의 신뢰할 만한 측정범위를 제시하였다.

천연가스 배관 곡관부에서의 피그 동적 거동 해석 (Analysis of PIG Dynamics through Curved Section in Natural Gas Pipeline)

  • 김동규;;유휘룡;노용우;고영태;김상봉
    • 한국가스학회지
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    • 제6권1호
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    • pp.1-9
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    • 2002
  • This paper presents simple models for flow and the PIG dynamics when it passes through a $90^{\circ}$ curved section of pipeline. The simulation has been done with two different operational boundary conditions. The solution fur non-linear hyperbolic partial equations for flow is given by using MOC. The Runge-Kuta method is used to solve the initial condition equation fur flow and the PIG dynamics equation. The simulation results show that the proposed model and solution can be used fur estimating the PIG dynamics when the pig runs in the pipeline including curved section. In this paper, dynamic modeling and its analysis for the PIG flow through $90^{\circ}$ curved pipe with compressible and unsteady flow are studied. The PIG dynamics model is derived by using Lagrange equation under assumption that it passes through 3 different sections in the curved pipeline such that it moves into, inside and out of the curved section. The downstream and up stream flow dynamics including the curved sections are solved using MOC. The effectiveness of the derived mathematical models is estimated by simulation results fur a low pressure natural gas pipeline including downward and upward curved sections. The simulation results show that the proposed model and solution can be used for estimating the PIG dynamics when we pig the pipeline including curved section.

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셰일 저류층에서의 핵밀도 함수를 이용한 확률론적 궁극가채량 예측 (Probabilistic Prediction of Estimated Ultimate Recovery in Shale Reservoir using Kernel Density Function)

  • 신효진;황지유;임종세
    • 한국가스학회지
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    • 제21권3호
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    • pp.61-69
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    • 2017
  • 생산성을 증대시키는 기술의 발달로 상업적인 생산이 가능해진 비전통 가스에 대한 개발이 북미를 중심으로 진행되고 있다. 셰일 저류층은 유체투과도가 낮으며, 일반적인 석유자원과 달리 수압파쇄로부터 생성된 균열을 통해 가스 생산이 이루어지므로 초기의 생산 감퇴율이 큰 반면 후반부에서는 감퇴하는 변화율이 매우 작은 특징을 나타낸다. 이러한 셰일가스의 생산량 변동성으로 인해 단일 예측값을 산출하는 생산감퇴곡선분석기법을 생산량 자료 분석에 적용할 경우 불확실성을 고려하기 어렵다. 이 연구에서는 미국 Eagle Ford 지역의 생산정 자료에 대하여 확률론적 기법 중 하나인 몬테카를로 시뮬레이션을 적용하였으며, 생산감퇴곡선인자에 대한 난수발생 시 핵밀도 함수를 활용하여 분포에 대한 가정 없이 자료의 특성을 반영한 확률분포를 도출하였다. 또한, 일반적으로 사용되고 있는 Arps 쌍곡선함수와 치밀/셰일층의 특성을 고려하여 생산량 예측이 가능한 Modified SEPD 적용에 있어 단일값이 아닌 확률에 따른 궁극가채량을 예측함으로써 불확실성을 최소화하고자 하였다.

양해법과 음해법을 이용한 영산강에서의 부정류해석 (Unsteady Flow Analysis in the Youngsan River Using Explicit and Implicit Finite Difference Methods)

  • 최성욱;여운광;주철;김창완;오유창
    • 물과 미래
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    • 제24권4호
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    • pp.49-58
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    • 1991
  • 영산강 유역의 89년 7월 호우에 대하여 두가지 유한차분법을 이요한 부정류해석을 실시하였다. 유한 차분법으로는 양해법의 경우 Leap Frog 기법을, 음해법은 Preissmann 기법을 사용하였고 지배방정식은 쌍곡선형 편미분방정식의 일종인 Saint Venant 식을 이용하였다. 외부경계조건으로는 상류단의 유량과 하류단의 조위를 이요하였으며 하구언을 내부경계조건으로 포함시켰다. 지천에서의 유입량과 상류단에서의 유량은 저류함수법에 의한 결과로써 시간별 입력자료로 사용되었다. 비교적 상류에 해당되는 나주지점에서 실측자료, 저류함수법 그리고 두 수치모형에 의한 계산값을 비교해본 결과 해의 정확도는 만족스러웠고 실측자료가 없는 중하류지점에서도 두 모형에 의한 계산값을 비교함으로써 상대적으로 신뢰할 수 있음을 알았다. 본 연구를 통하여 기존의 수문학적 홍수추적방법과 더불어 수치해석에 의한 부정류모형이 홍수예경보업무에 충분히 이용될 수 있음을 알 수 있었으며, 앞으로 본모형을 이용한 홍수시 배수갑문의 최적운영방안등의 연구도 기대된다 하겠다.

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Swell Correction of Shallow Marine Seismic Reflection Data Using Genetic Algorithms

  • park, Sung-Hoon;Kong, Young-Sae;Kim, Hee-Joon;Lee, Byung-Gul
    • Journal of the korean society of oceanography
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    • 제32권4호
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    • pp.163-170
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    • 1997
  • Some CMP gathers acquired from shallow marine seismic reflection survey in offshore Korea do not show the hyperbolic trend of moveout. It originated from so-called swell effect of source and streamer, which are towed under rough sea surface during the data acquisition. The observed time deviations of NMO-corrected traces can be entirely ascribed to the swell effect. To correct these time deviations, a residual statics is introduced using Genetic Algorithms (GA) into the swell correction. A new class of global optimization methods known as GA has recently been developed in the field of Artificial Intelligence and has a resemblance with the genetic evolution of biological systems. The basic idea in using GA as an optimization method is to represent a population of possible solutions or models in a chromosome-type encoding and manipulate these encoded models through simulated reproduction, crossover and mutation. GA parameters used in this paper are as follows: population size Q=40, probability of multiple-point crossover P$_c$=0.6, linear relationship of mutation probability P$_m$ from 0.002 to 0.004, and gray code representation are adopted. The number of the model participating in tournament selection (nt) is 3, and the number of expected copies desired for the best population member in the scaling of fitness is 1.5. With above parameters, an optimization run was iterated for 101 generations. The combination of above parameters are found to be optimal for the convergence of the algorithm. The resulting reflection events in every NMO-corrected CMP gather show good alignment and enhanced quality stack section.

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