• 제목/요약/키워드: 3-D numerical method

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A MODIFIED CAHN-HILLIARD EQUATION FOR 3D VOLUME RECONSTRUCTION FROM TWO PLANAR CROSS SECTIONS

  • Lee, Seunggyu;Choi, Yongho;Lee, Doyoon;Jo, Hong-Kwon;Lee, Seunghyun;Myung, Sunghyun;Kim, Junseok
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권1호
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    • pp.47-56
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    • 2015
  • In this paper, we present an implicit method for reconstructing a 3D solid model from two 2D cross section images. The proposed method is based on the Cahn-Hilliard model for the image inpainting. Image inpainting is the process of reconstructing lost parts of images based on information from neighboring areas. We treat the empty region between the two cross sections as inpainting region and use two cross sections as neighboring information. We initialize the empty region by the linear interpolation. We perform numerical experiments demonstrating that our proposed method can generate a smooth 3D solid model from two cross section data.

3차원 유한요소법에 기초한 조질 압연 공정 해석 - Part I : 유한요소해석 (3D Finite Element-based Study on Skin-pass Rolling - Part I : Finite Element Analysis)

  • 윤성진;황상무
    • 소성∙가공
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    • 제25권2호
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    • pp.130-135
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    • 2016
  • Rolled products often have residual stresses or strip waves that are beyond the customer’s tolerance. To resolve this problem, skin-pass rolling is widely used during post-processing of such products. Because a short contact length compared to the strip width is a characteristic of skin-pass rolling, several numerical analyses have been previously conducted based on a two-dimensional approach. In the current study, a series of simulations was conducted using numerical analysis of three-dimensional elastic-plastic finite element method.

영구자석형 선형 동기전동기의 영구자석 Skew시의 특성해석 (Characteristics Analysis of Permanent Magnet Linear Synchronous Motor in case of Skew of Permanent Magnet)

  • 정인성;허진;현동석
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부A
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    • pp.19-21
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    • 1998
  • The problem in improving the positioning precision of a Permanent Magnet Linear Synchronous Motor (PMLSM) is the detent force caused by the interaction of the magnets with the teeth of stator. This paper presents 3-Dimensional Equivalent Magnetic Circuit Network Method (3-D EMCN) for the analysis of PMLSM. 3-D EMCN is a numerical analysis method which supplements magnetic equivalent circuit by using numerical technique. We analyzed the fields and forces of PMLSM in case of skewed magnet and axially segmented magnet construction.

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원통 주위의 2차원 유동과 구 주위의 3차원 유동해석을 위한 가상경계법 개발 (IMMERSED BOUNDARY METHOD FOR THE ANALYSIS OF 2D FLOW OVER A CYLINDER AND 3D FLOW OVER A SPHERE)

  • 페르난데스;서용권;강상모
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2007년도 추계 학술대회논문집
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    • pp.194-199
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    • 2007
  • IB (immersed boundary) method is one of the prominent tool in computational fluid dynamics for the analysis of flows over complex geometries. The IB technique simplyfies the solution procedure by eliminating the requirement of complex body fitted grids and it is also superior in terms of memory requirement. In this study we have developed numerical code (FOTRAN) for the analysis of 2D flow over a cylinder using IB technique. The code is validated by comparing the wake lengths and separation angles given by Guo et. al. We employed fractional-step procedure for solving the Navier-Stokes equations governing the flow and discrete forcing IB technique for imposing boundary conditions. Also we have developed a 3D code for the backward-facing-step flow and flow over a sphere. The reattachment length in backward-facing-step flow was compared with the one given by Nie and Armaly, which has proven the validity of our code.

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A multimodal adaptive evolution of the N1 method for assessment and design of r.c. framed structures

  • Lenza, Pietro;Ghersi, Aurelio;Marino, Edoardo M.;Pellecchia, Marcello
    • Earthquakes and Structures
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    • 제12권3호
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    • pp.271-284
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    • 2017
  • This paper presents a multimodal adaptive nonlinear static method of analysis that, differently from the nonlinear static methods suggested in seismic codes, does not require the definition of the equivalent Single-Degree-Of-Freedom (SDOF) system to evaluate the seismic response of structures. First, the proposed method is formulated for the assessment of r.c. plane frames and then it is extended to 3D framed structures. Furthermore, the proposed nonlinear static approach is re-elaborated as a displacement-based design method that does not require the use of the behaviour factor and takes into account explicitly the plastic deformation capacity of the structure. Numerical applications to r.c. plane frames and to a 3D framed structure with inplan irregularity are carried out to illustrate the attractive features as well as the limitations of the proposed method. Furthermore, the numerical applications evidence the uncertainty about the suitability of the displacement demand prediction obtained by the nonlinear static methods commonly adopted.

A new Tone's method in APOLLO3® and its application to fast and thermal reactor calculations

  • Mao, Li;Zmijarevic, Igor
    • Nuclear Engineering and Technology
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    • 제49권6호
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    • pp.1269-1286
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    • 2017
  • This paper presents a newly developed resonance self-shielding method based on Tone's method in $APOLLO3^{(R)}$ for fast and thermal reactor calculations. The new method is based on simplified models, the narrow resonance approximation for the slowing down source and Tone's approximation for group collision probability matrix. It utilizes mathematical probability tables as quadrature formulas in calculating effective cross-sections. Numerical results for the ZPPR drawer calculations in 1,968 groups show that, in the case of the double-column fuel drawer, Tone's method gives equivalent precision to the subgroup method while markedly reducing the total number of collision probability matrix calculations and hence the central processing unit time. In the case of a single-column fuel drawer with the presence of a uranium metal material, Tone's method obtains less precise results than those of the subgroup method due to less precise heterogeneous-homogeneous equivalence. The same options are also applied to PWR UOX, MOX, and Gd cells using the SHEM 361-group library, with the objective of analyzing whether this energy mesh might be suitable for the application of this methodology to thermal systems. The numerical results show that comparable precision is reached with both Tone's and the subgroup methods, with the satisfactory representation of intrapellet spatial effects.

3D 입체 애니메이션의 장면별 입체시차 연구 (A Study on the 3D Stereoscopic Disparity in Four Animation Movies)

  • 서동희
    • 만화애니메이션 연구
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    • 통권34호
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    • pp.105-128
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    • 2014
  • 본 연구는 4개의 성공한 미국 극장용 입체 애니메이션의 입체시차를 분석하는데 목적이 있다. 아바타(2009) 이후로, 한국에서는 입체영상이 3D 애니메이션 스튜디오에서 활발하게 제작되었으나, 아직까지 극장용 애니메이션보다는 전시 영상이나 TV시리즈 제작에 주력하고 있다. 미래에 보다 성공적인 극장용 입체 애니메이션을 제작하기 위해서는 입체시차를 분석하고 비교하는 것이 필요하다고 본다. 먼저, 미국에서 2013년에 개봉된 극장용 입체 애니메이션, 수퍼배드2, 에픽, 몬스터 대학교, 터보에서 각각 40개의 컷을 선택하였다. Vineyard의 앵글 샷 분류에 따라 23개의 다른 앵글로 분류하여 40개의 컷을 나누고, 컷에서 측정된 입체시차는 각 애니메이션 별로 4개의 도표로 표시하였다. 각 앵글별로 분석된 입체시차는 3D 입체영상 제작자들에게 수치화된 정보로 제시된다. 성공적인 극장용 입체영상제작은 한국애니메이션산업 발전에 큰 전환점이 될 것이 분명하다. 본 논문은 미국 3D 극장용 입체영상의 입체시차를 수치적으로 보여줌으로서, 보다 나은 극장용 입체애니메이션 제작을 위해, 실질적 방법을 제시하는 새로운 방안을 연구하였다.

A semi-analytical and numerical approach for solving 3D nonlinear cylindrical shell systems

  • Liming Dai;Kamran Foroutan
    • Structural Engineering and Mechanics
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    • 제87권5호
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    • pp.461-473
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    • 2023
  • This study aims to solve for nonlinear cylindrical shell systems with a semi-analytical and numerical approach implementing the P-T method. The procedures and conditions for such a study are presented in practically solving and analyzing the cylindrical shell systems. An analytical model for a nonlinear thick cylindrical shell (TCS) is established on the basis of the stress function and Reddy's higher-order shear deformation theory (HSDT). According to Reddy's HSDT, Hooke's law in three dimensions, and the von-Kármán equation, the stress-strain relations are developed for the thick cylindrical shell systems, and the three coupled nonlinear governing equations are thus established and discretized as per the Galerkin method, for implementing the P-T method. The solution generated with the approach is continuous everywhere in the entire time domain considered. The approach proposed can also be used to numerically solve and analyze the nonlinear shell systems. The procedures and recurrence relations for numerical solutions of shell systems are presented. To demonstrate the application of the approach in numerically solving for nonlinear cylindrical shell systems, a specific nonlinear cylindrical shell system subjected to an external excitation is solved numerically. In numerically solving for the system, the present approach shows higher efficiency, accuracy, and reliability in comparison with that of the Runge-Kutta method. The approach with the P-T method presented is practically sound especially when continuous and high-quality numerical solutions for the shell systems are considered.

Analysis of soil resistance on drilled shafts using proposed cyclic p-y curves in weathered soil

  • Jeong, Sangseom;Park, Jeongsik;Ko, Junyoung;Kim, Byungchul
    • Geomechanics and Engineering
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    • 제12권3호
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    • pp.505-522
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    • 2017
  • A fundamental study of drilled shafts-soil systems subjected to lateral cyclic loading in weathered soil was conducted using numerical analyses. The emphasis was on quantifying the soil resistance of laterally cyclic loaded pile using 3D finite element analysis. The appropriate parametric studies needed for verifying the cyclic p-y characteristic are presented in this paper. A framework for determining the cyclic lateral load transfer curve (p-y curves) on the basis of numerical analyses is proposed. Through comparisons with results of field load tests, the three-dimensional numerical methodology in the present study is in good agreement with the general trend observed by in situ measurements and thus, represents a realistic soil-pile interaction for laterally loaded piles in soil than that of existing p-y method. It can be said that a rigorous present analysis can overcome the limitations of existing cyclic p-y methods to some extent by considering the effect of realistic three-dimensional combination of pile-soil forces. The proposed cyclic p-y curve is shown to be capable of predicting the behavior of the drilled shafts in weathered soil.

매설관의 3차원 동적응답거동 (3-D Dynamic Response of Buried Pipelines)

  • 정진호;김춘진
    • 한국지진공학회논문집
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    • 제15권3호
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    • pp.27-35
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    • 2011
  • 매설관의 동적해석법으로 Larbi(1995)와 정 등(2005)은 모드중첩법을 이용하여 매설관의 여러 단부경계조건에 대해 해석한 바 있다. 그러나 이 방법에서 얻고자 하는 해의 산정식은 유도과정이 매우 복잡할 뿐만 아니라 유도된 산정식마저 해를 얻기 위해선 별도의 수치해석 전산프로그래밍이 요구되므로 사실상 기술자가 실무에서 이용하기는 극히 어려운 해법으로 취급되고 있다. 이러한 모드 중첩법의 단점을 고려하여 이 해석법의 대안으로 실무에서 보다 쉽게 사용 가능한 3D 유한차분법을 제안하고자 한다. 이를위해 3D 동적 해석의 정확성을 검증한 후 그 결과를 모드중첩법의 결과와 비교 분석하여 매설관의 지진응답을 구하는 또 하나의 방법이 될 수 있음을 학인하였다.