• 제목/요약/키워드: finite difference technique

검색결과 332건 처리시간 0.026초

둥근 엠보싱 형상이 있는 슬라이더 베어링의 경사도에 따른 윤활효과 (Lubrication Effect of Slider Bearing with Round Embossed Surface According to Its Slider Slope)

  • 진도훈;윤문철
    • Tribology and Lubricants
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    • 제30권5호
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    • pp.284-290
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    • 2014
  • The influence of round embossed surface on slider bearing characteristics and its load carrying capacity is discussed for thin film effect of embossed slider bearing. For the numerical computation of lubrication parameters such as pressure, load capacity and shear stress that are normalized and a Reynolds equation is used for the analysis of embossed slider bearing characteristics. For this purpose, the finite difference method of central difference scheme is used in this study. In a slider bearing with embossed form, several simulation parameters such as pressure, load capacity and shear stress of the bearing can be obtained according to independent parameters such as the slope of the slider bearing and number of embossing in the upper slider. Also this results can be summarized and be stored in sequential data file for latter analysis. After all, their distribution of the pressure and shear stress parameters can be displayed and be analyzed easily by using the developed program with matlab GUI technique. The independent parameters such as a number of embossing and a slope of the embossed surface slider are used for discussing simulation parameters of pressure distribution, shear stress and load carrying capacity of the round embossing. These study results reported in this paper should be applied to the other shaped slider bearing with a rectangular embossed surface or rectangular waved surface.

그래픽 프로세서를 이용한 고차 유한 차분식 기반 수중채널모델 연구 (A Study on the Underwater Channel Model based on a High-Order Finite Difference Method using GPUs)

  • 배호석;김원기;손수욱;하완수
    • 한국시뮬레이션학회논문지
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    • 제30권1호
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    • pp.11-20
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    • 2021
  • 최근 수중 무인 체계가 대두됨에 따라 핵심 기반 기술인 장거리 수중통신기술 및 고속 수중채널모델링 기술이 많은 관심을 받고 있다. 본 논문에서는 고속 수중채널모델링을 수행하기 위한 고속 음파전달모델을 제안하여, 정량적인 성능 분석을 통해 제안 기술의 적용 가능성을 살펴보았다. 수층에서의 파동 전파를 모사하기 위하여 고차 유한 차분 기법을 사용하였으며, 범용 그래픽 프로세서를 이용한 영역 분할 기법을 적용하여 여러 개의 그래픽 프로세서 병렬 처리를 통해 연산 속도를 향상시켰다. 제안한 기법은 반무한 매질에서의 해석해와의 비교 및 파선법에 기반한 VirTEX 모델을 이용한 결과와의 비교를 통해 그 타당성을 검증하였다. 최종적으로 수치예제를 통해 고속 수중채널 모델링 기법의 정량적인 연산 성능을 분석하였다. 개발모델의 연산 성능 향상 정도를 정량적으로 분석한 결과 그래픽 프로세서 수가 증가함에 따라 연산 속도가 선형에 가깝게 빨라지는 것을 확인하였다. 연산 영역의 크기가 2배로 증가할 때와 주파수가 2배로 증가할 때 계산 시간은 각각 2배와 8배로 증가하였다. 본 논문을 통해 제안한 고속 수중채널모델 기술은 해양무인체계의 수중통신기술 개발을 위한 수중통신 채널모델 및 분석 툴로 탑재되어 국방력 강화에 기여할 수 있을 것으로 기대된다.

용탕충진과정에 있어서 열 및 유동을 포함한 2차원 응고해석 (Coupled Analysis of Heat Transfer, Fluid Flow and Solidification in the Filling of Castings)

  • 김성빈;조인성;김진수;홍준표
    • 한국주조공학회지
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    • 제13권5호
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    • pp.424-431
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    • 1993
  • A Numerical technique has been developed for the coupled heat transfer and fluid flow calculation during the casting process. In this method the SMAC technique was coupled with the concept of Volume of Fluid(VOF) to calculate melt free surface and velocity profiles within the melt, and the Energy Marker method coupled with the finite difference method was proposed for the convective and conductive heat transfer analysis in the casting. When comparing numerical calculations with experimental observations, a close correlation was evident. It has been shown that this technique is useful for proper gating and casting design, especially for thin-walled castings.

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반 최적화기법에 의한 적층복합보의 손상추적 (Damage detection in laminated beams by anti-optimization)

  • 이재홍
    • 전산구조공학
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    • 제9권2호
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    • pp.173-182
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    • 1996
  • 본 연구는 적층복합보에 있어서의 층간분리현상을 추적하는 기법을 소개하고 있다. 이 기법에서는 층간분리된 보와 층간분리되지 않은 보와의 응답차이를 최대화하도록 조화운동의 가력을 보위별로 최적화한다. 2개층의 알루미늄 보에 대하여 수치해석을 수행하였으며, 계측 및 보의 형태에 따른 노이즈를 고려하였다. 층간 분리를 모델링하기 위하여 스텝함수를 사용하였으며 층별 복합판 이론에 기본한 유한요소법을 이용하여 해석하였다.

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COMPARISON OF NUMERICAL SCHEMES ON MULTI-DIMENSIONAL BLACK-SCHOLES EQUATIONS

  • Jo, Joonglee;Kim, Yongsik
    • 대한수학회보
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    • 제50권6호
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    • pp.2035-2051
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    • 2013
  • In this paper, we study numerical schemes for solving multi-dimensional option pricing problem. We compare the direct solving method and the Operator Splitting Method(OSM) by using finite difference approximations. By varying parameters of the Black-Scholes equations for the maximum on the call option problem, we observed that there is no significant difference between the two methods on the convergence criterion except a huge difference in computation cost. Therefore, the two methods are compatible in practice and one can improve the time efficiency by combining the OSM with parallel computation technique. We show numerical examples including the Equity-Linked Security(ELS) pricing based on either two assets or three assets by using the OSM with the Monte-Carlo Simulation as the benchmark.

두 개의 Microphone 배열 특성에 의한 음향 Intensity 측정 (Sound Intensity Measurement for Characteristics of Two Microphone Arrangements.)

  • 장호경
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1985년도 학술발표회 논문집
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    • pp.37-42
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    • 1985
  • The errors caused by developmental finite difference approximations in the two microphone acoustic intensity measurement technique are considered in this paper. The frequencies and pressure responses obtained experimentally, are presented for both face to face (FF) and side by side(SS) microphone configurations. The implications of these results by the use of such a cofiguration for two microphone sound intensity measurement are discussed.

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A numerical model for externally prestressed beams

  • Pisani, M.A.
    • Structural Engineering and Mechanics
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    • 제4권2호
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    • pp.177-190
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    • 1996
  • A method to numerically evaluate the behaviour of single span beams, prestressed with external tendons and symmetrically loaded is presented. This algorithm, based on the Finite Difference Method, includes second order effects and large displacements in an attempt to more fully understand the behaviour of the beam up to collapse. The numerical technique discussed is particularly appropriate for the analysis of R.C. and P.C. beams rehabilitated or strengthened by means of external prestressing but it is reliable for the analysis of new beams as well.

Thermal stresses in a non-homogeneous orthotropic infinite cylinder

  • Edfawy, E.
    • Structural Engineering and Mechanics
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    • 제59권5호
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    • pp.841-852
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    • 2016
  • The present paper is concerned with the investigation of propagation of thermoelastic media, the finite difference technique is used to obtain the solution for the uncoupled dynamic thermoelastic stress problem in a non-homogeneous orthrotropc thick cylindrical shell. In implementing the method, the linear dynamic thermoelasticity equations are used with the appropriate boundary and initial conditions. Thermal shock stress becomes of significant magnitude due to stress wave propagation which is initiated at the boundaries by sudden thermal loading. Numerical results have been given and illustrated graphically in each case considered. The presented results indicate that the effect of inhomogeneity is very pronounced.

준해석적 비선형 설계민감도를 위한 개선된 변위하중법 (Augmented Displacement Load Method for Nonlinear Semi-analytical Design Sensitivity Analysis)

  • 이민욱;유정훈;이태희
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.492-497
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    • 2004
  • Three methods for design sensitivity such as numerical differentiation, analytical method and semi-analytical method have been developed for the last three decades. Although analytical design sensitivity analysis is exact, it is hard to implement for practical design problems. Therefore, numerical method such as finite difference method is widely used to simply obtain the design sensitivity in most cases. The numerical differentiation is sufficiently accurate and reliable for most linear problems. However, it turns out that the numerical differentiation is inefficient and inaccurate because its computational cost depends on the number of design variables and large numerical errors can be included especially in nonlinear design sensitivity analysis. Thus semi-analytical method is more suitable for complicated design problems. Moreover semi-analytical method is easy to be performed in design procedure, which can be coupled with an analysis solver such as commercial finite element package. In this paper, implementation procedure for the semi-analytical design sensitivity analysis outside of the commercial finite element package is studied and computational technique is proposed, which evaluates the pseudo-load for design sensitivity analysis easily by using the design variation of corresponding internal nodal forces. Errors in semi-analytical design sensitivity analysis are examined and numerical examples are illustrated to confirm the reduction of numerical error considerably.

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Free vibration analysis of functionally graded cylindrical shells with different shell theories using semi-analytical method

  • Khayat, Majid;Dehghan, Seyed Mehdi;Najafgholipour, Mohammad Amir;Baghlani, Abdolhossein
    • Steel and Composite Structures
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    • 제28권6호
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    • pp.735-748
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    • 2018
  • In this study, the semi-analytical finite strip method is adopted to examine the free vibration of cylindrical shells made up of functionally graded material. The properties of functionally graded shells are assumed to be temperature-dependent and vary continuously in the thickness direction according to a simple power law distribution in terms of the volume fraction of ceramic and metal. The material properties of the shells and stiffeners are assumed to be continuously graded in the thickness direction. Theoretical formulations based on the smeared stiffeners technique and the classical shell theory with first-order shear deformation theory which accounts for through thickness shear flexibility are employed. The finite strip method is applied to five different shell theories, namely, Donnell, Reissner, Sanders, Novozhilov, and Teng. The approximate procedure is compared favorably with three-dimensional finite elements. Finally, a detailed numerical study is carried out to bring out the effects of power-law index of the functional graded material, stiffeners, and geometry of the shells on the difference between various shell theories. Finally, the importance of choosing the shell theory in simulating the functionally graded cylindrical shells is addressed.