• Title/Summary/Keyword: 가중이동최소자승

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A Study on the Development of Shape Functions of Polyhedral Finite Elements (다면체 유한요소의 형상함수 개발에 관한 연구)

  • Kim, Hyun-Gyu
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.3
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    • pp.183-189
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    • 2014
  • In this paper, a polyhedral element is presented to solve three-dimensional problems by developing shape functions based on Wachspress coordinates and moving least square approximation. A subdivision of polyhedrons into tetrahedral domains is performed for the construction of shape functions of polyhedral elements, and numerical integration of the weak form is carried out consistently over the tetrahedral domains. The weight functions for moving least square approximation are defined by solving Laplace equation with boundary values based on Wachspress coordinates on polyhedral element faces. Polyhedral elements presented in this paper have similar properties to conventional finite element regarding the continuity, the completeness, the node-element connectivity and the inter-element compatibility. Numerical examples show the effectiveness of the present method for solving three-dimensional problems using polyhedral elements.

Formulation and Chatacteristics of the Element Free Galerkin Method (갤러킨 정식화를 사용한 무요소법의 구성과 그 특성)

  • 석병호;임장근
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.1
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    • pp.47-56
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    • 1999
  • 최근 요소망의 구성없이 공학적인 문제의 해석이 가능한 무요소법이 많은 학자들에 의하여 제안되고 이에 관한 집중적인 연구가 이루어지고 있다. 본 연구에서는 갤러킨 정식화에 의한 무요소법을 고체역학적인 문제에 적용하여 이의 특성을 규명하고자 하였다. 특히 일반적으로 사용되고 있는 몇가지 가중 함수를 선정하여 이들이 해석결과에 미치는 특성과 절점 배치방법 및 가중 함수의 영향 영역 변화에 따른 해의 정확도 등을 서로 비교하고 검토하였다. 연구결과로 가중 함수의 형태와 영향 영역의 크기, 기정 함수의 차수와 절점 배치방법 등은 서로 상관관계를 갖고 해의 정확도에 크게 영향을 미침을 확인할 수 있었고 이의 적절한 선정은 무요소해석의 중요한 요건임을 알 수 있었다.

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Study on the Development of Multi-Agents Position Tracking System Using Ultrasonic Transducers (초음파 센서를 이용한 다수의 이동형 개체 위치 추적시스템 개발에 관한 연구)

  • Choe, Jin-Hee;Choy, Ick;Cho, Whang
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.5
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    • pp.725-731
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    • 2013
  • In This paper, through simulation, proposes a system which makes it possible for freely moving multiple agents with ultrasonic receivers to estimate their own position by themselves using the ultrasonic signals sequentially emitted from multiple ultrasonic transmitters. This system possesses an advantage that there is no limit in the number of agents existing in the space covered by more than three transmitters fixed at proper locations. Hence, the proposed system can be utilized effectively in position tracking control of multiple robotic agents system and motion capturing system.

Study on load forecasting for battergy energy storage system using Artificial Neural Network (인공신경회로망을 이용한 BESS의 부하 예측 기법에 관한 연구)

  • Park, Hyang-A;Kim, Seul-Ki;Cho, Kyeong-Hee;Kim, Eung-Sang
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.621-622
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    • 2015
  • 최근 늘어나는 전력 수요에 따라, 세계적으로 전력에너지 절감을 통한 수요자원 확보 및 활용을 위한 부하 예측의 중요성이 증가하고 있다. 본 논문에서는, 수요관리용 전지전력저장시스템을 효율적으로 운영하고 계획하는데 필수적인 부하예측의 정확성을 높이기 위하여 이동평균법, 지수가중이동평균법, 최소자승법, 인공신경망 방법을 적용하였다. 시계열 데이터인 부하 데이터를 분석하여 최대부하일, 근무일, 토요일, 공휴일로 분류하였고, 각각의 방법으로 예측한 부하를 적용시켜 전기요금 절감을 목표로 하는 전지전력저장시스템의 최적 충 방전 운전계획을 세웠으며, 이를 이용하여 산출된 전기요금과 실제 전기요금을 비교 분석하였다.

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NUMERICAL STUDY ON TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOW BASED ON GRIDLESS METHOD (2차원 비압축성 점성유동에 관한 무격자법 기반의 수치해석)

  • Jeong, S.M.;Park, J.C.;Heo, J.K.
    • Journal of computational fluids engineering
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    • v.14 no.4
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    • pp.93-100
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    • 2009
  • The gridless (or meshfree) methods, such as MPS, SPH, FPM an so forth, are feasible and robust for the problems with moving boundary and/or complicated boundary shapes, because these methods do not need to generate a grid system. In this study, a gridless solver, which is based on the combination of moving least square interpolations on a cloud of points with point collocation for evaluating the derivatives of governing equations, is presented for two-dimensional unsteady incompressible Navier-Stokes problem in the low Reynolds number. A MAC-type algorithm was adopted and the Poission equation for the pressure was solved successively in the moving least square sense. Some typical problems were solved by the presented solver for the validation and the results obtained were compared with analytic solutions and the numerical results by conventional CFD methods, such as a FVM.

Development of WMLS-based Particle Simulation Method for Solving Free-Surface Flow (자유표면 유동해석을 위한 WMLS 기반 입자법 기술 개발)

  • Nam, Jung-Woo;Park, Jong-Chun;Park, Ji-In;Hwang, Sung-Chul;Heo, Jae-Kyung;Jeong, Se-Min
    • Journal of Ocean Engineering and Technology
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    • v.28 no.2
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    • pp.93-101
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    • 2014
  • In general, particle simulation methods such as the MPS(Moving Particle Simulation) or SPH(Smoothed Particle Hydrodynamics) methods have some serious drawbacks for pressure solutions. The pressure field shows spurious high fluctuations both temporally and spatially. It is well known that pressure fluctuation primarily occurs because of the numerical approximation of the partial differential operators. The MPS and SPH methods employ a pre-defined kernel function in the approximation of the gradient and Laplacian operators. Because this kernel function is constructed artificially, an accurate solution cannot be guaranteed, especially when the distribution of particles is irregular. In this paper, we propose a particle simulation method based on the moving least-square technique for solving the partial differential operators using a Taylor-series expansion. The developed method was applied to the hydro-static pressure and dam-broken problems to validate it.

Development of an Automatic 3D Coregistration Technique of Brain PET and MR Images (뇌 PET과 MR 영상의 자동화된 3차원적 합성기법 개발)

  • Lee, Jae-Sung;Kwark, Cheol-Eun;Lee, Dong-Soo;Chung, June-Key;Lee, Myung-Chul;Park, Kwang-Suk
    • The Korean Journal of Nuclear Medicine
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    • v.32 no.5
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    • pp.414-424
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    • 1998
  • Purpose: Cross-modality coregistration of positron emission tomography (PET) and magnetic resonance imaging (MR) could enhance the clinical information. In this study we propose a refined technique to improve the robustness of registration, and to implement more realistic visualization of the coregistered images. Materials and Methods: Using the sinogram of PET emission scan, we extracted the robust head boundary and used boundary-enhanced PET to coregister PET with MR. The pixels having 10% of maximum pixel value were considered as the boundary of sinogram. Boundary pixel values were exchanged with maximum value of sinogram. One hundred eighty boundary points were extracted at intervals of about 2 degree using simple threshold method from each slice of MR images. Best affined transformation between the two point sets was performed using least square fitting which should minimize the sum of Euclidean distance between the point sets. We reduced calculation time using pre-defined distance map. Finally we developed an automatic coregistration program using this boundary detection and surface matching technique. We designed a new weighted normalization technique to display the coregistered PET and MR images simultaneously. Results: Using our newly developed method, robust extraction of head boundary was possible and spatial registration was successfully performed. Mean displacement error was less than 2.0 mm. In visualization of coregistered images using weighted normalization method, structures shown in MR image could be realistically represented. Conclusion: Our refined technique could practically enhance the performance of automated three dimensional coregistration.

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