• 제목/요약/키워드: 해석적 해법

검색결과 305건 처리시간 0.038초

Chemical Reacting Flow Analysis of the 30 tonf - class KARl LRE Nozzle (KARI 30톤급 액체로켓엔진 노즐 유동 화학 반응 해석)

  • Lee, Dae-Sung;Kang, Ki-Ha;Cho, Duck-Rae;Choi, J.Y.;Choi, H.S.
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 한국추진공학회 2007년도 제29회 추계학술대회논문집
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    • pp.105-109
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    • 2007
  • Three methods of nozzle flow analysis, frozen-equilibrium, shifting-equilibrium and non-equilibrium approaches, were used to rocket nozzle flow, those were coupled with the methods of computational fluid dynamics code. For a design of high temperature rocket nozzle, chemical equilibrium analysis which shares the same numerical characteristics with frozen flow analysis can be an efficient design tool for predicting maximum thermodynamic performance of the nozzle. In this study, shifting-equilibrium flow analysis was carried out for the 30 $ton_f$-class KARl liquid rocket engine nozzle together with frozen flow. The performance evaluation based on the 30 $ton_f$-class KARl LRE nozzle flow analyses will provide an understanding of the thermochemical process in the nozzle and performances of nozzle.

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In-Plane Extensional Buckling Analysis of Curved Beams under Uniformly Distributed Radial Loads Using DQM (등분포하중 하에서 미분구적법(DQM)을 이용한 곡선 보의 내평면 신장 좌굴해석)

  • Kang, Ki-Jun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • 제19권7호
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    • pp.265-274
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    • 2018
  • The increasing use of curved beams in buildings, vehicles, ships, and aircraft has prompted studies directed toward the development of an accurate method for analyzing the dynamic behavior of such structures. The stability behavior of elastic curved beams has been the subject of a large number of investigations. Solutions of the relevant differential equations have been obtained traditionally using standard finite difference or finite element methods. These techniques require a great deal of computer time as the number of discrete nodes becomes relatively large under the conditions of complex geometry and loading. One of the efficient procedures for the solution of partial differential equations is the method of differential quadrature. The differential quadrature method (DQM) has been applied to a large number of cases to overcome the difficulties of the complex algorithms of programming for the computer, as well as the excessive use of storage due to the conditions of complex geometry and loading. The in-plane buckling of curved beams considering the extensibility of the arch axis was analyzed under uniformly distributed radial loads using the DQM. The critical loads were calculated for the member with various parameter ratios, boundary conditions, and opening angles. The results were compared with the precise results by other methods for cases, in which they were available. The DQM, using only a limited number of grid points, provided results that agreed very well (less than 0.3%) with the exact ones. New results according to diverse variations were obtained, showing the important roles in the buckling behavior of curved beams, and can be used in comparisons with other numerical solutions or with experimental test data.

Out-of-Plane Buckling Analysis of Curved Beams Considering Rotatory Inertia Using DQM (미분구적법(DQM)을 이용 회전관성을 고려한 곡선 보의 외평면 좌굴해석)

  • Kang, Ki-jun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • 제17권10호
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    • pp.300-309
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    • 2016
  • Curved beams are increasingly used in buildings, vehicles, ships, and aircraft, which has resulted in considerable effort towards developing an accurate method for analyzing the dynamic behavior of such structures. The stability behavior of elastic curved beams has been the subject of many investigations. Solutions to the relevant differential equations have traditionally been obtained by the standard finite difference or finite element methods. However, these techniques require a great deal of computer time for a large number of discrete nodes with conditions of complex geometry and loading. One efficient procedure for the solution of partial differential equations is the differential quadrature method (DQM). This method has been applied to many cases to overcome the difficulties of complex algorithms and high storage requirements for complex geometry and loading conditions. Out-of-plane buckling of curved beams with rotatory inertia were analyzed using DQM under uniformly distributed radial loads. Critical loads were calculated for the member with various parameter ratios, boundary conditions, and opening angles. The results were compared with exact results from other methods for available cases. The DQM used only a limited number of grid points and shows very good agreement with the exact results (less than 0.3% error). New results according to diverse variation are also suggested, which show important roles in the buckling behavior of curved beams and can be used for comparisons with other numerical solutions or experimental test data.

Approximate Reliability Analysis Model for R.C. Bridge Superstructures based on Systems Reliability Methods (체계신뢰성(體系信賴性) 방법(方法)에 기초(基礎)한 R.C. 도로교(道路橋) 상부구조(上部構造)의 근사적(近似的) 신뢰성해석(信賴性解析) 모형(模型))

  • Cho, Hyo Nam;Koo, Bon Sung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • 제7권2호
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    • pp.79-88
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    • 1987
  • This study is intended to propose a system reliability analysis model for R.C. bridge superstructures based on the systems reliability theory. Approximately assuming that the ultimate capacity of the superstructures is reached, when two adjacent girders fail subsequently, a practical system reliability model is proposed, which is based on a point estimate for Level II parallel-series system modelling. The sensitivity analysis of system reliabilities for the variation of the coefficients of correlations between the failure modes is performed by applying the proposed model for R.C. T beam bridges. It is observed that the point estimate method for the proposed model corresponds to the average value of the Ditlevsen's bound, and the system reliability index, ${\beta}_s$, varies quite sensitively according to the variation of the cofficients of correlations. Systems reliabilities of a few existing T beam bridges are analyzed by applying the proposed practical system reliability method of this study, and, in addition, the preferable direction of the development of the reliability-based code calibration using the system target reliability index concept are suggested.

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Direct Solution of Structural Rigid Frames with Sidesway (절점이동(節點移動)이 있는 구조강절(構造剛節) 뼈대의 직접해법(直接解法))

  • Yang, Chang Hyun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • 제12권3호
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    • pp.91-105
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    • 1992
  • For the analysis of multistory frames with sidesway, no adequate procedures can be found in the classical methods of structural analysis. Even well-known procedures such as the slope-deflection method and the moment distribution method may not be effective tools since those methods require a multiple of computational labor and/or yield results of approximate values. In this study, a direct method is developed and proposed for the analysis of multistory frames with sidesway, which is due to the lateral loads, asymmetry of the structure itself, or asymmetry of vertical loadings. The proposed method is to obtain simple forms of equations derived by a mathematical formulation of the moment distribution procedure combined with successive correction concept. Numerical illustrations show that the results obtained by the proposed method agree well with those by rigorous ones. Undoubtedly, this newly developed method can be applied more easily for the analysis of structural frames without joint translation as well as continuous beams.

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Computational Turbulent Models (난류유동의 계산모형)

  • 정명균
    • Journal of the KSME
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    • 제34권9호
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    • pp.688-697
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    • 1994
  • 유체유동이나 열전달 그리고 물질전달 (물질의 혼합 및 확산) 또는 이들 현상이 복합적으로 나 타나는 각종 기계의 설계와 성능 해석을 하기 위해서는 그 현상을 지배하는 편미분 방정식들의 해를 수치적으로 구해야 한다. 유동 상태가 충류 유동인 경우는 지배 방정식의 수가 알고자 하는 미지변수 즉 속도, 압력, 온도, 농도 등의 개수와 같고 또한 이들 변수들의 변동이 그리 심하지 않기 때문에 적절한 수치 해법을 사용하면 그 해를 구할 수 있다. 그러나 난류유동의 경우에는 변수들이 시간상으로 또한 공간적으로 대단히 심하게 변동(fluctuation)하기 때문에 공 학적으로 우리가 원하는 정보들, 즉, 표면 마찰저항이나 양력, 얼전달 계수, 물질 확산계수 등을 현재 수준의 전자계산기로 계산하는 데는 계산시간이 엄청나게 소요될 뿐만 아니라 변수 저장 메모리도 과도하게 차지하기 때문에 실제적인 계산 방법이 되지 못하고 있다. 이러한 이유로 변수들의 순간 변화 상태를 나타내는 지배 방정식들을 해석하는 대신에 이들 지배 방정식의 시 간평균을 취하여 유도한 난류 방정식들을 사용하게 된다. 그러나 이 시간 평균 과정에서 파생 되는 또 다른 미지의 난류 변수들 때문에 난류 지배 방정식에 있어서는 그 지배 방정식의 개수 보다 미지 변수의 개수가 많아져서 난류 지배 방정식을 풀기 위해서는 시간평균 과정에서 나타난 난류 변수들을 원래 있던 미지 변수들의 함수나 방정식의 형태로 가정할 필요가 있게 되는데 이 가정되는 함수 관계들을 난류 계산 모형이라고 한다. 난류 계산 모형은 물리적인 통찰과 직관에 의해서 실용적인 형태로 가정되기도 하지만 최근에는 논리적으로 엄격한 모형 원칙에 따른 수 학적인 방법으로 유도되고 있는데 이 글에서는 일반 독자들이 쉽게 이해할 수 있도록 마하수가 낮은 2차원 비압축성 난류 유동을 예로 들어 x-y 직교 좌표계에서 표현되는 난류 계산 모형들을 소개하고 앞으로듸 발전 방향을 개관하며 현재의 응용 사례들을 예로 들어 모형의 성능을 비교 하여 보기로 한다.

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Dynamic Analysis of Offshore Structures by the Advanced Mode Acceleration Method (개선된 Mode Acceleration Method에 의한 해양(海洋) 구조물(構造物)의 동적(動的) 해석(解析))

  • Kim, Tae Nam
    • KSCE Journal of Civil and Environmental Engineering Research
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    • 제14권1호
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    • pp.13-20
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    • 1994
  • Determination of the number of modes to be included in the mode superposition method(MSM) is very important and difficult. Mode acceleration method(MAM) is recommended recently with the intention to overcome the problem. But the solution of the MAM is complex and complicate in frequency domain analysis. In this paper, advanced mode acceleration method(AMAM) is formulated and examined. The results from example analyses show that AMAM is a simple, accurate and reliable method compared with the MSM and the MAM.

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A Numerical Analysis of River-bed Variation in Alluvial Stream (충적하천(沖積河川)의 하상변동(河床變動)에 관한 수치해석(數値解析))

  • Park, Jung Eng
    • KSCE Journal of Civil and Environmental Engineering Research
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    • 제4권1호
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    • pp.49-58
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    • 1984
  • This paper is to exhibit the numerical analysis of sediment transport in the slowly varing flow and the sediment transport relation between the steady and the unsteady flow in the alluvial stream. The gradually varied flow of alluvial stream and the sediment transport are very complicated physical phenomen. Therefore the mathematical modeling is needed to be established. Linear implicit means of modified indirect method are applied to sediment transport by numerical analysis instead of the conception of steady flow in order to decrease errors. Further more, this study has purpose on reasonable prediction of the river-bed variation by way of this numerical method.

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Development of Numerical Model for Unsteady Flow Analysis jin Discharge Culvert of Thermal Power Plant: I. Model Setup (열발전소 배수암거 부정류해석 수치모형의 개발 : I. 모형의 정립)

  • Yun, Seong-Beom;Lee, Gi-Hyeok
    • Journal of Korea Water Resources Association
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    • 제30권6호
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    • pp.761-768
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    • 1997
  • A numerical model is developed to analyze the incompressible unsteady flow induced by the pump trip-out in the cooling water discharge culvert of thermal power plants. The numerical models has various features to deal concureently with the overall behavior of complicated unsteady flow due to the presence of cooling water internal system, seal well, air chamber, culvert, manholes, open channel and sea water. A leap-frog finite difference scheme is employed to solve governing equations, and the model is tested for a simple case of two tanks connected with a pipe. A fixed free surface boundary condition used earlier at the downstream end of culvert for large water body is investigated.

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Analysis of Transient Scattering from Conducting Objects using Weighted Laguerre Polynomials and Electric Field Integral Equation (가중 라게르 다항식과 전장적분식을 이용한 도체의 과도 산란 해석)

  • 정백호;정용식
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • 제13권9호
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    • pp.937-946
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    • 2002
  • In this paper, we present a stable solution of the transient electromagnetic scattering from the conducting objects. This method does not utilize the conventional marching-on in time (MOT) solution. Instead we solve the time domain integral equation by expressing the transient behavior of the induced current in terms of weighted Laguerre polynomials. By using this basis functions for the temporal variation, the time derivative in the integral equation can be handled analytically. Since these temporal basis functions converge to zero as time progresses, the transient response of the induced current does not have a late time oscillation. To show the validity of the proposed method, we solve a time domain electric feld integral equation and compare the results of MOT, Mie solution, and the inverse discrete Fourier transform (IDFT) of the solution obtained in the frequency domain.