• 제목/요약/키워드: Virtual boundary method

검색결과 134건 처리시간 0.025초

가동물체형 구조물 해석을 위한 Simplified Immersed Boundary법의 개발 (Development of Simplified Immersed Boundary Method for Analysis of Movable Structures)

  • 이광호;김도삼
    • 한국해안·해양공학회논문집
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    • 제33권3호
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    • pp.93-100
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    • 2021
  • 고정된 격자시스템에서 임의형상의 불투과 경계를 갖는 물체와 유체와 연성해석이 가능한 IB(Immersed Boundary)법이 개발 된 이후로 다양한 CFD 모델에서 IB법의 활용이 증가하고 있다. 기존의 IB법의 대부분은 구조물의 경계면에서 산정되는 유체력으로부터 수치적으로 경계조건을 만족시키는 directing-forcing법이나 구조물 내부에 가상셀을 위치시켜 보간을 통해 경계조건을 만족시키는 ghost-cell법들로 알고리즘이 복잡하다. 본 연구에서는 고정된 격자시스템에서 가동물체형 구조물 해석이 가능함과 더불어 3차원으로의 확장도 용이한 SIB(Simplified Immersed Boundary)법을 제안하였다. 본 연구에서 제안한 SIB법은 각 상(phase)의 밀도함수가 국소질량의 중심과 함께 이동하는 것으로 가정한 단일유체모델(one-field model for immiscible two-phase fluid)을 기초로 하였다. 또한 이동하는 고체상태의 구조물을 취급하기 위해 고체의 밀도함수를 이용한 체적가중평균법을 적용하고, 수치확산을 방지하기 위해 이류계산에는 CIP법을 적용하였다. 제안된 SIB법의 해석성능을 검토하기 위해 자유수면으로 낙하하는 물체에 대한 수치모의를 수행하였다. 수치해석결과는 자유수면으로 낙하하는 물체를 양호하게 재현하였다.

Time-domain analyses of the layered soil by the modified scaled boundary finite element method

  • Lu, Shan;Liu, Jun;Lin, Gao;Wang, Wenyuan
    • Structural Engineering and Mechanics
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    • 제55권5호
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    • pp.1055-1086
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    • 2015
  • The dynamic response of two-dimensional unbounded domain on the rigid bedrock in the time domain is numerically obtained. It is realized by the modified scaled boundary finite element method (SBFEM) in which the original scaling center is replaced by a scaling line. The formulation bases on expanding dynamic stiffness by using the continued fraction approach. The solution converges rapidly over the whole time range along with the order of the continued fraction increases. In addition, the method is suitable for large scale systems. The numerical method is employed which is a combination of the time domain SBFEM for far field and the finite element method used for near field. By using the continued fraction solution and introducing auxiliary variables, the equation of motion of unbounded domain is built. Applying the spectral shifting technique, the virtual modes of motion equation are eliminated. Standard procedure in structural dynamic is directly applicable for time domain problem. Since the coefficient matrixes of equation are banded and symmetric, the equation can be solved efficiently by using the direct time domain integration method. Numerical examples demonstrate the increased robustness, accuracy and superiority of the proposed method. The suitability of proposed method for time domain simulations of complex systems is also demonstrated.

IBEM analyses on half-cell potential measurement for NDE of rebar corrosion

  • Kyung, Je-Woon;Tae, Sung-Ho;Lee, Han-Seung;Alver, Yalcin;Yoo, Jo-Hyeong
    • Computers and Concrete
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    • 제4권4호
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    • pp.285-298
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    • 2007
  • Corrosion of Reinforcement (rebar) is nondestructively estimated by the half-cell potential measurement. As is the case with other nondestructive testings (NDT), understanding of the underlying principles should be clarified in order to obtain meaningful results. Therefore, the measurement of potentials in concrete is analytically investigated. The effect of internal defects on the potentials measured is clarified numerically by the boundary element method (BEM). Thus, a simplified inversion by BEM is applied to convert the potentials on concrete surface to those on rebars, taking into account the concrete resistivity. Because the potentials measured on concrete surface are so sensitive to moisture content, concrete resistivity and surface condition, an inverse procedure to convert the potentials on concrete surface into those on rebars is developed on the basis of BEM. It is found that ASTM criterion is practically applicable to estimate corrosion from the potential values converted. In experiments, an applicability of the procedure is examined by accelerated corrosion tests of reinforced concrete (RC) slabs. For practical use, the procedure is developed where results of IBEM are visualized by VRML (Virtual Reality modeling Language) in three-dimensional space.

교량 말뚝기초의 단부 지점조건의 영향분석 (Influence of Pile Cap's Boundary Conditions in Piled Pier Structures)

  • 정상섬;원진오
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2005년도 춘계 학술발표회 논문집
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    • pp.25-32
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    • 2005
  • Modeling techniques of piled pier were reviewed and the influences of pile cap's boundary conditions were analyzed in this study. Among various modeling techniques, equivalent cantilever method seems relatively simple for modeling pile groups and it has some problems to determine the virtual fixed points. Through the analyses, it was found that the method of nonlinear p-y model with soil springs was more appropriate than equivalent cantilever method. The method modeling a pile group using stiffness matrix seems useful for practical design, which can represent the nonlinear three-dimensional behavior of a piled pier. In this study, the stiffness matrix of a pile group could be estimated efficiently and precisely using three-dimensional nonlinear analysis programs of pile groups (FBPier 3.0, YSGroup).

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유한요소법에 의한 다상재료의 파괴역학적 해석 (Fracture Mechanics Analysis of Multi-Phase Material by Finite Eelement Method)

  • 표창률;김영진
    • 대한기계학회논문집
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    • 제13권2호
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    • pp.221-228
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    • 1989
  • 본 연구에서는 가상균열진전법과 수정 J-적분식을 연계하여 사용할 수 있는 유한요소 프로그램을 개발하고, 이 프로그램을 기존 결과가 있는 2상재료에 적응하여 타당성을 검토한 후, 다상재료의 경우에도 확장하였고, 실제 상변태가 발생하는 중수(heavy water)형 원자로 압력관(pressure tube)의 균열해석에 적용하여 보았다.

Generation of Discrete $G^1$ Continuous B-spline Ship Hullform Surfaces from Curve Network Using Virtual Iso-parametric Curves

  • Rhim, Joong-Hyun;Cho, Doo-Yeoun;Lee, Kyu-Yeul;Kim, Tae-Wan
    • Journal of Ship and Ocean Technology
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    • 제10권2호
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    • pp.24-36
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    • 2006
  • Ship hullform is usually designed with a curve network, and smooth hullform surfaces are supposed to be generated by filling in (or interpolating) the curve network with appropriate surface patches. Tensor-product surfaces such as B-spline and $B\'{e}zier$ patches are typical representations to this interpolating problem. However, they have difficulties in representing the surfaces of irregular topological type which are frequently appeared in the fore- and after-body of ship hullform curve network. In this paper, we proposed a method that can automatically generate discrete $G^1$ continuous B-spline surfaces interpolating given curve network of ship hullform. This method consists of three steps. In the first step, given curve network is reorganized to be of two types: boundary curves and reference curves of surface patches. Especially, the boundary curves are specified for their surface patches to be rectangular or triangular topological type that can be represented with tensor-product (or degenerate) B-spline surface patches. In the second step, surface fitting points and cross boundary derivatives are estimated by constructing virtual iso-parametric curves at discrete parameters. In the last step, discrete $G^1$ continuous B-spline surfaces are generated by surface fitting algorithm. Finally, several examples of resulting smooth hullform surfaces generated from the curve network data of actual ship hullform are included to demonstrate the quality of the proposed method.

열린 STL 모델의 옵셋 방법 (Offset of STL Model Generated from Multiple Surfaces)

  • 김수진;양민양
    • 한국정밀공학회지
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    • 제23권7호
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    • pp.187-193
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    • 2006
  • This paper introduces and illustrates the results of a new method for offsetting the triangular mesh generated from multiple surfaces. The meshes generated from each surface are separated each other and normal directions are different. The face normal vectors are flipped to upward and the lower faces covered by upper faces are deleted. The virtual normal vectors are introduced and used to of feet boundary. It was shown that new method is better than previous methods in offsetting the triangular meshes generated from multiple surfaces. The introduced offset method was applied for 3-axis tool path generation system and tested by NC machining.

Fast Ray Reordering and Approximate Sibson Interpolation for Foveated Rendering on GPU

  • Kwon, Oh-Seok;park, Keon-kuk;Yoon, Joseph;Kim, Young-Bong
    • 한국멀티미디어학회논문지
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    • 제22권2호
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    • pp.311-321
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    • 2019
  • Virtual reality applications in Head-Mounted Displays require high frame rates and low latency rendering techniques. Ray tracing offers many benefits, such as high-quality image generation, but has not been utilized due to lower performance than rasterization. But that can obtain good result combined with gaze-tracking technology and human visual system's operation principle. In this paper, we propose a method to optimize the foveated sampling map and to maintain the visual quality through the fast voronoi nearest interpolation. The proposed method further reduces the computational cost that has been improved by the previous foveated sampling. It also smoothes the voronoi boundary using adaptive sibson interpolation, which was not possible in real-time. As a result, the proposed method can render real-time high-quality images with low visual difference.

Influence of clamped-clamped boundary conditions on the mechanical stress, strain and deformation analyses of cylindrical sport equipment

  • Yuhao Yang;Mohammad Arefi
    • Geomechanics and Engineering
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    • 제35권5호
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    • pp.465-473
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    • 2023
  • The higher order shear deformable model and an exact analytical method is used for analytical bending analysis of a cylindrical shell subjected to mechanical loads, in this work. The shell is modelled using sinusoidal bivariate shear strain theory, and the static governing equations are derived using changes in virtual work. The eigenvalue-eigenvector method is used to exactly solve the governing equations for a constrained cylindrical shell The proposed kinematic relation decomposes the radial displacement into bending, shearing and stretching functions. The main advantage of the method presented in this work is the study of the effect of clamping constraints on the local stresses at the ends. Stress, strain, and deformation analysis of shells through thickness and length.

샘플-홀드 방식과 햅틱 장치 물성치에 따른 햅틱 시스템의 안정성 분석 (Stability of Haptic System with consideration for Sample-and-Hold Methods and Properties of Haptic Device)

  • 이경노
    • 한국산학기술학회논문지
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    • 제14권11호
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    • pp.5338-5343
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    • 2013
  • 햅틱 시스템에서 가상 벽의 스프링상수 (Kw)가 크면 클수록 사용자는 실제 벽처럼 느끼지만 햅틱 시스템은 그만큼 불안정해진다. 그래서 시스템의 안정성을 유지하면서 가상 벽에 대한 사용자 몰입감을 향상시키기 위해서 일차 홀드 방식을 이용한 방법을 제시하고자 한다. 특히 가상 벽 (virtual wall)로 구성된 가상 환경과 상호 작용할 때 일차홀드 (FOH) 방식을 이용하는 경우 햅틱 장치의 물성치인 질량 (Md)과 댐핑 상수 (Bd)가 시스템의 안정성에 미치는 영향을 분석한다. 시뮬레이션을 통해 시스템의 안정성을 유지하는 가상 벽의 스프링 상수 (Kw)가 햅틱 장치의 질량 (Md)과 댐핑 상수 (Bd)의 제곱근에 비례한다는 것을 보이고, 이를 통해 기존의 영차홀드 (ZOH) 방식보다 큰 가상 스프링의 구현이 가능함을 보인다. 따라서 사용자의 몰입감 높은 햅틱 시스템 구현이 가능함을 보인다. 그리고 시뮬레이션 결과분석을 통해 시스템 안정성을 보장하는 가상 스프링 상수 (Kw)의 범위를 샘플링 주기 (T), 햅틱 장치의 질량 (Md), 댐핑 상수 (Bd)의 관계로 유도한 결과가 $K_w{\leq}{1.611M_d}^{0.50}{B_d}^{0.50}T^{-1.51}$ 임을 보인다. 이 때 시뮬레이션 결과와의 상대 오차가 평균 0.53%로 매우 작다.