• 제목/요약/키워드: Hyperbolic system

검색결과 170건 처리시간 0.019초

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.

Contact interface fiber section element: shallow foundation modeling

  • Limkatanyu, Suchart;Kwon, Minho;Prachasaree, Woraphot;Chaiviriyawong, Passagorn
    • Geomechanics and Engineering
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    • 제4권3호
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    • pp.173-190
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    • 2012
  • With recent growing interests in the Performance-Based Seismic Design and Assessment Methodology, more realistic modeling of a structural system is deemed essential in analyzing, designing, and evaluating both newly constructed and existing buildings under seismic events. Consequently, a shallow foundation element becomes an essential constituent in the implementation of this seismic design and assessment methodology. In this paper, a contact interface fiber section element is presented for use in modeling soil-shallow foundation systems. The assumption of a rigid footing on a Winkler-based soil rests simply on the Euler-Bernoulli's hypothesis on sectional kinematics. Fiber section discretization is employed to represent the contact interface sectional response. The hyperbolic function provides an adequate means of representing the stress-deformation behavior of each soil fiber. The element is simple but efficient in representing salient features of the soil-shallow foundation system (sliding, settling, and rocking). Two experimental results from centrifuge-scale and full-scale cyclic loading tests on shallow foundations are used to illustrate the model characteristics and verify the accuracy of the model. Based on this comprehensive model validation, it is observed that the model performs quite satisfactorily. It resembles reasonably well the experimental results in terms of moment, shear, settlement, and rotation demands. The hysteretic behavior of moment-rotation responses and the rotation-settlement feature are also captured well by the model.

수성이상계에서 K.fragilis의 에탄올 추출발효 특성에 관한 연구 (Extractive Ethanol Fermentation Characteristics of K.fragilis in an Aqueous Two Phase System)

  • 김진한;허병기목영일
    • KSBB Journal
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    • 제9권5호
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    • pp.443-449
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    • 1994
  • 여러 가지 조성의 PEG 20000jDx로 구성한 수성 이상계를 사용한 에탄올 추출발효실험을 통하여 K. fragilis에 의한 돼지감자 주스의 발효 특성을 초기 당농도 및 생성 알코올 농도의 함수로 규명하여 다음의 결과를 얻었다. 균체의 비증식속도 빛 에탄올 비생성속도는 PEG 및 Dx 농도가 낮을수록 증가하였다. 비증식속도는 조성에 무관하게 초기 당농도 $80g/\ell$에서 최대치를 보였고, 에탄올 비생성속도는 $120g/\ell$최대치를 보였다. 생성 알코올 농도에 의한 저해 영향은 비증식속도에 대하여 지수함수형 을, 에탄올 비생성속도에 대하여 쌍곡선함수형을 나타냈다. Dx 농도가 2.5~5% 범위에셔 PEG 농도 가 낮을수록 에탄올 저해 영향은 감소하였다. 총괄 에탄올 생산성은 초기 당농도가 증가할수록 높았으 며 생산성이 최대치에 도랄하는 소요시간도 당농도가 증가함에 따라 증가하였다. 시간별 에탄올 생산 속도는 초기 당농도 $160g/\ell$ 에서 가장 높은 값을 보 였다. 총괄 에탄올 생산성은 대조실험에 비하여 수 성이상계 추출발효를 통하여 1.2배 이상 증가하였고 초기 당농도가 높을수록 이상계 추출발효가 더욱 유리한 것으로 나타났다.

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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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토끼 심방근 세포막의 Na/Ca교환 비율에 관한 연구 (A Study on Na/Ca Exchange Ratio in Atrial Muscle of Rabbit)

  • 김의용;황상익;엄융의;성호경
    • The Korean Journal of Physiology
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    • 제23권2호
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    • pp.291-299
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    • 1989
  • Na and Ca effects on contracture were studied in order to estimate Na/Ca exchange ratio in the isolated atrial muscle of the rabbit. All experiments were performed in tris-buffered Tyrode solution which was being aerated with 100% $O_2\;and\;kept\;at\;37^{circ}C$. To load intracellular $Na^+,\;10{-6}M$ ouabain or K-free solution were used. Contractures were induced by brier exposure of atrial muscle to Tyrode solution containing various concentrations of Ca or of Na. The results obtained were as follows: 1 ) Increasing the extracellular Ca concentration, the amplitude of contracture also increased and was maximum at 8 mM Ca-Tyrode solution. 2) The relationship between extracellular Ca concentrations and relative amplitude of the contractures showed hyperbolic pattern. By using Hill plot, the line has the slope of 1 12 which means the number of Ca binding sites of the carrier in the cell membrane. 3) The amplitude of the contracture was maximum in 0 mM Na-Tyrode solution and decreased in dose dependent manner when the Na concentration increased. 4) When the relationship between extracellular Na concentrations and the amplitude of contractures was expressed as dose-response curve, the curve showed sigmoid pattern. The line with the slope of 2.82 was obtained by using Hill plot. 5) From above all the results, it is suggested that exchange ratio of Na and Ca via Na/ca exchange system in the atrial muscle of rabbit could be 3:1 approximately.

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완경사 방정식에서의 간편화된 파의 부분 반사 및 투과 처리기법 (Development of a Simplified Treatment Technique of Partial Wave Reflection and Transmission for Mild-Slope Wave Model)

  • 천제호;안경모
    • 한국해안해양공학회지
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    • 제18권1호
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    • pp.84-96
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    • 2006
  • 본 논문에서는 완경사 방정식에 새로운 항을 추가하여 파의 부분 반사 및 투과 현상을 수치모의하는 방법을 제시하였다. 반투과성 방파제와 같은 해안구조물 주변의 파랑장을 계산하고자 할 때, 반사율과 투과율 정보가 수리도형실험에 의해 주어지면 간편하게 적용할 수 있는 효율적인 수치모의 방법이다. 제시된 방법의 정확성을 검증하기 위해 2차원 투과성 방파제에서의 부분 투과 및 부분 반사 조건을 만족시키는지 여부를 수치모형 실험을 통해 확인하였다. 또한 본 기법을 3차원 반무한 방파제 와 투과성 이안제에 적용시켜, 방파제에 직각 또는 경사를 갖고 진입하는 파랑에 대해 수치모의하였다. 3차원 수조의 반무한 방파제에 직각 또는 경사지게 진입하는 파랑에 의한 방파제 주위의 부분반사, 부분투과 및 회절된 파랑장의 수치모의 결과를 각각 Yu(1995)와 McIver(1999)의 해석해와 비교하여 정확성을 검증하였다. 본 기법은 사용하기 쉬우면서도 정확하고 효과적으로 투과성 방파제 주위의 파랑장을 계산할 수 있다.

단순화 모델에 의한 2차원 갑판침입수의 수치 시뮬레이션 (Numerical Simulation of Two-Dimensional Shipping Water by Using a Simplified Model)

  • 김용직;김인철
    • 대한조선학회논문집
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    • 제33권2호
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    • pp.1-12
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    • 1996
  • 본 논문에서는 갑판침입수의 유동특성을 단순화된 2차원 모델을 이용하여 고찰하였다. 기본방정식으로 천수파 모델에 기초한 보존형의 비선형 쌍곡선방정식이 도출되었고, 이를 계산하기 위한 시간영역 수치해법으로 predictor-corrector법과 2종 상류차분법을 채용한 유한차분법을 개발 적용하였다. 보아를 수반하는 몇가지 단순한 경우들에 대한 계산결과를 해석해와 비교하였으며, 본 수치해법이 갑판침입수의 유동해석에 유용한 방법임을 보였다. 갑판침입수의 유동 시뮬레이션 에들에서, 갑판침입수는 확산파의 형태로 감판상에 유입되며 갑판상의 구조물에 부딪힌 후 보아형태로 발달해 감이 보여지고 있다. 또한, 침입수 유동에 영향을 줄 수 있는 중요요소로서 갑판의 기울기, 상방향 가속도등이 다루어 졌고, 이들이 갑판 침입수의 유동에 상당한 영향을 미침을 확인하였다.

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대공간 구조형식 분류체계에 관한 연구 (A Research on the Classified Structural System in Long-Span Structures)

  • 양재혁
    • 한국공간구조학회논문집
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    • 제2권3호
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    • pp.81-92
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    • 2002
  • The objective of this paper is to help to make decision of the appropriate structural types in long span structured building due to range of span. For the intention, based on 7 forces of structural element, it is analized the relationships among 6 configurations of structural element(d/1), 25 structural types, 4 materials, and span-length known with 186 sample from 1850 to 1996. 1) bending forces: $club(1/100{\sim}1/10),\;plate(1/100{\sim}1/10),\;rahmen(steel,\;10{\sim}24m)\;simple\;beam(PC,\;10{\sim}35m)$ 2) shearing forces: $shell(1/100{\sim}1/1000)\;hyperbolic\;paraboloids(RC,25{\sim}97m)$ 3) shearing+bending forces: plate, folded $plate(RC21{\sim}59m)$ 4) compression axial forces: club, $arch(RC,\;32{\sim}65m)$ 5) compression+tension forces: shell, braced dome $shell(RC,\;40{\sim}201m),\;vault\;shell(RC,\;16{\sim}103m)$ 6) compression+tension axial forces: $rod(1/1000{\sim}1/100)$, cable(below 1/1000)+rod, coble+rod+membrane(below 1/1000), planar $truss(steel,\;31{\sim}134m),\;arch\;truss(31{\sim}135m),\;horizontal\;spaceframe(29{\sim}10\;8m),\;portal\;frame(39{\sim}55m),\;domical\;space\;truss(44{\sim}222m),\;framed\;\;membrane(45{\sim}110m),\;hybrid\;\;membrane\;(42{\sim}256m)$ 7) tension forces: cable, membrane, $suspension(60{\sim}150m),\;cable\;\;beam(40{\sim}130m),\;tensile\;membrane(42{\sim}136m),\;cable\;-slayed(25{\sim}90m),\;suspension\;membrane(24{\sim}97m),\;single\;layer\;pneumatic\;structure(45{\sim}231m),\;double\;layer\;pneumatic\;structures(30{\sim}44m)$

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흙의 비선형 모델을 이용한 감쇠비 산정 및 비교 (Calculation of Damping Ratio Using Non-Linear Soil Models and Comparison between Measured and Predicted Data)

  • 이형규;배윤신
    • 한국지반신소재학회논문집
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    • 제10권2호
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    • pp.21-28
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    • 2011
  • 지반의 대표적 동적 물성치중 하나인 감쇠비를 구하기 위한 여러 이론적 비선형모델이 개발되어 왔으나 실제 측정된 감쇠비를 정확히 예측하기는 불가능하다. 공진주/비틂전단 시험기는 미소변형율에서 중간변형율까지 흙의 동적 거동을 표현하는데 자주 이용되어 왔다. 공진주/비틂전단 시험기의 단점중의 하나는 측정된 감쇠비에 상응하는 변형율 산정법이 복잡하다는 것이다. 이를 해결하기 위하여 수정쌍곡선 모델과 Ramberg-Osgood모델을 사용하여 수정등가반경법을 도입하여 보다 정확한 변형율을 계산하였다. 유타지역에서 채취된 시료를 이용하여 공진주/비틂전단 시험기로 측정된 비틂력-비틂각을 이론적 비틂력-비틂각과 비교하고, 맞춤곡선법을 사용하여 각 비선형모델의 매개변수를 구하였으며 적합모델별 매개변수에서의 등가반경을 산정하였다.

음선 추적을 이용한 폭발음 위치추정 오차 보정에 대한 연구 (Study on Error Correction of Impact Sound Position Estimation Using Ray Tracing)

  • 최동훈;고영주;이재형;나태흠;최종수
    • 한국소음진동공학회논문집
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    • 제26권1호
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    • pp.89-96
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    • 2016
  • TDOA(time delay of arrival) position estimate from acoustic measurement of artillery shell impact is studied in order to develop a targeting evaluation system. Impact position is calculated from the intersections of hyperbolic estimates based on the least square Taylor series method. The mathematical process of Taylor series estimation is known to be robust. However, the concern lays with the accuracy because it is sensitive to the bias caused by the randomness of measurement situation. The measurement error typically occurs from the distortion of waveform, change of travelling path, and sensor position error. For outdoor measurement, a consideration should be made on the atmospheric condition such as temperature and wind which can possibly change the trajectories of rays of sound. It produces wrong propagation time events accordingly. Ray tracing and optimization techniques are introduced in this study to minimize the bias induced by the ray of sound. The numerical simulation shows that the atmospheric correction improves the estimation accuracy.