• Title/Summary/Keyword: A level-set method

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The level set-based topology optimization for three-dimensional functionally graded plate using thin-plate spline

  • Banh, Thanh T.;Luu, Nam G.;Lee, Dongkyu
    • Steel and Composite Structures
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    • v.44 no.5
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    • pp.633-649
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    • 2022
  • This paper is first implemented with the bending behavior of three-dimensional functionally graded (3DFG) plates in the framework of level set-based topology optimization (LS-based TO). Besides, due to the suitable properties of the current design domain, the thin-plate spline (TPS) is recognized as a RBF to construct the LS function. The overall mechanical properties of the 3DFG plate are assessed using a power-law distribution scheme via Mori-Tanaka micromechanical material model. The bending response is obtained using the first-order shear deformation theory (FSDT). The mixed interpolation of four elements of tensorial components (MITC4) is also implemented to overcome a well-known shear locking problem when the thickness becomes thinner. The Hamilton-Jacobi method is utilized in each iteration to enforce the necessary boundary conditions. The mathematical formulas are expressed in great detail for the LS-based TO using 3DFG materials. Several numerical examples are exhibited to verify the efficiency and reliability of the current methodology with the previously reported literature. Finally, the influences of FG materials in the optimized design are explained in detail to illustrate the behaviors of optimized structures.

INTRODUCTION TO OPENFOAM: OPEN SOURCE SOFTWARE (Source 공개 코드 OpenFOAM 소개)

  • Park, J.K.;Kang, K.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.431-436
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    • 2010
  • Recently, several open source codes for computational fluid dynamics (CFD) have been emerged and are spreading fast. Our group has chosen OpenFOAM as a platform to develop our own in-house code. In this paper, we would like to share the information on the codes and what we have experienced so far. We introduce several features of OpenFOAM, which include the performance compared with commercial packages, estimation for current user population and our own prospect for future improvement in performance and growth in user population. In addition, we briefly introduce our experience gained in embedding the level set method into the OpenFOAM.

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REVIEW ON OPENFOAM - AN OPEN SOURCE SOFTWARE (Source 공개 코드 OpenFOAM에 대한 리뷰)

  • Park, J.K.;Kang, K.H.
    • Journal of computational fluids engineering
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    • v.15 no.3
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    • pp.46-53
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    • 2010
  • Recently, several open source codes for computational fluid dynamics (CFD) have been introduced and are spreading fast. Our group has chosen the OpenFOAM as a platform to develop our own in-house code. In this brief review, we would like to share the information on the codes and what we have experienced so far. We introduce several features of OpenFOAM, which include the performance compared with commercial packages, estimation for current user population, and our own prospect for future improvement in performance and growth in user population. In addition, we briefly introduce our experience gained in embedding the level set method into the OpenFOAM.

FE Analysis of electromechanical device including moving part using LSM (LSM을 이용한 이동체를 포함하는 전기기기의 유한요소 해석)

  • Baek, Myung-Ki;Sung, Tan-Il;Choi, Yoon-Seok;Kim, Young-Sun;Park, Il-Han
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.796-797
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    • 2008
  • This paper presents a coupling scheme of LSM(Level Set Method) and Poisson's equation to analyze the dynamic performance of electromagnetic system with moving parts. Remeshing process is necessary to analyze the dynamics of moving object using finite element method. LSM is useful for analysis of moving objects or propagating models in time varying system. In this paper, we proposed the material setting technique of mover using level set function. To validate the algorithm, we adopted the simple hinged electromagnet model with moving arm. The results of simulation are reasonable as expect.

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Development of Fuzzy Inference Engine for Servo Control Using $\alpha$-level Set Decomposition ($\alpha$ -레벨집합 분해에 의한 서보제어용 퍼지 추론 연산회로의 개발)

  • 홍순일;이요섭
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.3
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    • pp.50-56
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    • 2001
  • As the fuzzy control is applied to servo system, the hardware implementation of the fuzzy information systems requires the high speed operations, short real time control and the small size systems. The aims of this study is to develop hardware of the fuzzy information systems to be apply to servo system. In this paper, we propose a calculation method of approximate reasoning for fuzzy control based on $\alpha$ -level set decomposition of fuzzy sets by quantize $\alpha$ -cuts. This method can be easily implemented with analog hardware. The influence of quantization Bevels of $\alpha$-cuts on output from fuzzy inference engine is investigated. It is concluded that 4 quantization levels give sufficient result for fuzzy control performance of dc servo system. The hardware implementation of proposed operation method and of the defuzzification by gravity center method which is directly converted to PWM actuating signal is also presented. It is verified useful with experiment for dc servo system.

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Performance Comparison Between New Level Set Method and Previous Methods for Volume Images Segmentation (볼륨영상 분할을 위한 새로운 레벨 셋 방법과 기존 방법의 성능비교)

  • Lee, Myung-Eun;Cho, Wan-Hyun;Kim, Sun-Worl;Chen, Yan-Juan;Kim, Soo-Hyung
    • The KIPS Transactions:PartB
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    • v.18B no.3
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    • pp.131-138
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    • 2011
  • In this paper, we compare our proposed method with previous methods for the volumetric image segmentation using level set. In order to obtain an exact segmentation, the region and boundary information of image object are used in our proposed speed function. The boundary information is defined by the gradient vector flow obtained from the gradient images and the region information is defined by Gaussian distribution information of pixel intensity in a region-of-interest for image segmentation. Also the regular term is used to remove the noise around surface. We show various experimental results of real medical volume images to verify the superiority of proposed method.

Modeling for Evolution of a 3-dimensional Structure on Semiconductor Substrate (반도체 기판 위의 3차원 구조에 대한 형상 진화 모델링 연구)

  • Jung, Hyun-Su;Won, Tae-Young
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.37 no.12
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    • pp.24-28
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    • 2000
  • This paper reports a new calculation method of three dimensional deposeition rate by level set method. To model an advancement of the surface efficiently, we have developed a new iteration method to re-initialize the level set function. For calculating etching and deposition rate by direct flow, we have developed a visibility test module and a refraction and re-sputtering model. Sputter deposition rate with shadow effect and surface refraction is calculated. We report that difference of profiles in cases that sticking coefficient are 1.0 and 0.3. We report that the difference of the deposition rate on bottom of the hole is caused by a difference of visible angle by the shadowing effect.

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A novel method for the vibration optimisation of structures subjected to dynamic loading

  • Munk, David J.;Vio, Gareth A.;Steven, Grant P.
    • Advances in aircraft and spacecraft science
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    • v.4 no.2
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    • pp.169-184
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    • 2017
  • The optimum design of structures with frequency constraints is of great importance in the aeronautical industry. In order to avoid severe vibration, it is necessary to shift the fundamental frequency of the structure away from the frequency range of the dynamic loading. This paper develops a novel topology optimisation method for optimising the fundamental frequencies of structures. The finite element dynamic eigenvalue problem is solved to derive the sensitivity function used for the optimisation criteria. An alternative material interpolation scheme is developed and applied to the optimisation problem. A novel level-set criteria and updating routine for the weighting factors is presented to determine the optimal topology. The optimisation algorithm is applied to a simple two-dimensional plane stress plate to verify the method. Optimisation for maximising a chosen frequency and maximising the gap between two frequencies are presented. This has the application of stiffness maximisation and flutter suppression. The results of the optimisation algorithm are compared with the state of the art in frequency topology optimisation. Test cases have shown that the algorithm produces similar topologies to the state of the art, verifying that the novel technique is suitable for frequency optimisation.

An Algorithm for Classification of ST Shape using Reference ST set and Polynomial Approximation (레퍼런스 ST 셋과 다항식 근사를 이용한 ST 형상 분류 알고리즘)

  • Jeong, Gu-Young;Yu, Kee-Ho
    • Journal of Biomedical Engineering Research
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    • v.28 no.5
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    • pp.665-675
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    • 2007
  • The morphological change of ECG is the important diagnostic parameter to finding the malfunction of a heart. Generally ST segment deviation is concerned with myocardial abnormality. The aim of this study is to detect the change of ST in shape using a polynomial approximation method and the reference ST type. The developed algorithm consists of feature point detection, ST level detection and ST shape classification. The detection of QRS complex is accomplished using it's the morphological characteristics such as the steep slope and high amplitude. The developed algorithm detects the ST level change, and then classifies the ST shape type using the polynomial approximation. The algorithm finds the least squares curve for the data between S wave and T wave in ECG. This curve is used for the classification of the ST shapes. ST type is classified by comparing the slopes of the specified points between the reference ST set and the least square curve. Through the result from the developed algorithm, we can know when the ST level change occurs and what the ST shape type is.

A Numerical Analysis of the Binary Droplet Collision by Using a Level Set Method (레벨셋 방법을 이용한 액적 충돌에 대한 수치해석)

  • Lee, Sang-Hyuk;Hur, Nahm-Keon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.4
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    • pp.353-360
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    • 2011
  • The prediction of binary droplet collisions is important in the formation of falling drops and the evolution of sprays. The droplet velocity, impact parameter, and drop-size ratio influence the interaction between the droplets. The effect of these parameters results in complicated collision phenomena. Droplet collisions can be classified into four types of interactions: bouncing, coalescence, reflexive separation, and stretching separation. In the present study, the interfacial flow problem of the droplet collision was numerically simulated by using the level set method. 2D axisymmetric simulations on the head-on collisions and 3D simulation on the off-center collisions were performed. The numerical results of droplet behavior after the collision agreed well with the experimental and analytical results. The mixing of the mass of the initial droplets after the collision was also predicted by using different species index of colliding droplets.