• 제목/요약/키워드: Gauss method

검색결과 422건 처리시간 0.023초

능동차폐형 초전도 MRI 마그네트의 설계 (A design of actively shielded superconducting MRI magnet)

  • 진홍범;류강식;송준태
    • 대한전기학회논문지
    • /
    • 제45권1호
    • /
    • pp.24-29
    • /
    • 1996
  • Magnetic field theories for the design of highly homogeneous magnet are introduced and a nonlinear optimization method for the design of actively shielded superconducting magnet is presented. The presented design method can optimize both main coil and shielding coil simultaneously by setting constraints on stray field intensity at a specified distance from the magnet center. A 2-Tesla actively shielded superconducting magnet, with 90cm bore diameter, is designed using the presented method. The field homogeneity is 2ppm/30cm DSV and the 5 gauss stray field contour is within 4m axially and 3m radially from the magnet center. (author)., 7 refs., 6 figs., 3 tabs.

  • PDF

Spectral clustering based on the local similarity measure of shared neighbors

  • Cao, Zongqi;Chen, Hongjia;Wang, Xiang
    • ETRI Journal
    • /
    • 제44권5호
    • /
    • pp.769-779
    • /
    • 2022
  • Spectral clustering has become a typical and efficient clustering method used in a variety of applications. The critical step of spectral clustering is the similarity measurement, which largely determines the performance of the spectral clustering method. In this paper, we propose a novel spectral clustering algorithm based on the local similarity measure of shared neighbors. This similarity measurement exploits the local density information between data points based on the weight of the shared neighbors in a directed k-nearest neighbor graph with only one parameter k, that is, the number of nearest neighbors. Numerical experiments on synthetic and real-world datasets demonstrate that our proposed algorithm outperforms other existing spectral clustering algorithms in terms of the clustering performance measured via the normalized mutual information, clustering accuracy, and F-measure. As an example, the proposed method can provide an improvement of 15.82% in the clustering performance for the Soybean dataset.

유한차분법을 이용한 저장력 예인케이블의 비선형 동적해석 (Nonlinear Dynamic Analysis on Low-Tension Towed Cable by Finite Difference Method)

  • 박한일;정동호
    • 대한조선학회논문집
    • /
    • 제39권1호
    • /
    • pp.28-37
    • /
    • 2002
  • 본 연구에서는 저장력 예인케이블의 비선형 동적거동을 수치적으로 해석하였다. 고장력 케이블해석에서는 흔히 무시되는 굽힘강성의 효과가 저장력 케이블에서는 중요한 역할을 하므로 본 연구에서는 이를 고려하였다. 또한 저장력 케이블에서는 대변위가 발생하기 쉬우므로 기하학적인 비선형 및 유체 비선형 효과가 크므로 이를 고려하였다. 저장력 예인케이블에 대한 3차원 비선형 운동방정식을 수립하고 유한차분법을 적용하여 이산화 시켰다. 시간적분에 있어서 안정적인 해를 얻을 수 있는 음해법(implicit method)을 적용하였으며 비선형 해를 구하기 위하여 Newton-Raphson 반복법을 사용하였다. 케이블과 같이 양단경계조건을 갖고 대각선 주변 성분만 있는 행렬식을 계산하는 경우에는 Gauss-Jordan 방법 등과 같이 일반적인 방법 보다 블록삼중대각행렬 풀이법이 계산시간을 상당히 줄일 수 있음을 알 수 있었다. 몇 가지 예제해석을 수행하였으며 실해역 실험결과에 의해 이미 검증되어 있는 케이블 해석프로그램인 WHOI Cable 프로그램의 해석결과와 비교 검토한 결과 서로 잘 일치함을 알 수 있었다.

Diffusion synthetic acceleration with the fine mesh rebalance of the subcell balance method with tetrahedral meshes for SN transport calculations

  • Muhammad, Habib;Hong, Ser Gi
    • Nuclear Engineering and Technology
    • /
    • 제52권3호
    • /
    • pp.485-498
    • /
    • 2020
  • A diffusion synthetic acceleration (DSA) technique for the SN transport equation discretized with the linear discontinuous expansion method with subcell balance (LDEM-SCB) on unstructured tetrahedral meshes is presented. The LDEM-SCB scheme solves the transport equation with the discrete ordinates method by using the subcell balances and linear discontinuous expansion of the flux. Discretized DSA equations are derived by consistently discretizing the continuous diffusion equation with the LDEM-SCB method, however, the discretized diffusion equations are not fully consistent with the discretized transport equations. In addition, a fine mesh rebalance (FMR) method is devised to accelerate the discretized diffusion equation coupled with the preconditioned conjugate gradient (CG) method. The DSA method is applied to various test problems to show its effectiveness in speeding up the iterative convergence of the transport equation. The results show that the DSA method gives small spectral radii for the tetrahedral meshes having various minimum aspect ratios even in highly scattering dominant mediums for the homogeneous test problems. The numerical tests for the homogeneous and heterogeneous problems show that DSA with FMR (with preconditioned CG) gives significantly higher speedups and robustness than the one with the Gauss-Seidel-like iteration.

스펙트럴 요소법을 이용한 SH파 전파의 외연적 시간이력해석 (Explicit Transient Simulation of SH-waves Using a Spectral Element Method)

  • 윤승욱;강준원
    • 한국전산구조공학회논문집
    • /
    • 제31권2호
    • /
    • pp.87-95
    • /
    • 2018
  • 이 논문에서는 스펙트럴 요소법과 외연적 시간적분법을 이용해 SH파의 전파 거동을 계산하는 수치해석 기법을 제시한다. 2차원 영역에서의 탄성파 해석을 위해 해석영역을 유한 영역으로 한정하고 파동이 반사되지 않도록 수치적 파동흡수 경계조건인 perfectly matched layer(PML)를 도입하였다. PML이 포함된 시간영역 파동방정식의 유한요소해법을 위해 스펙트럴 요소법을 적용하였고 Legendre- Gauss-Lobatto 수치적분법을 사용하여 질량행렬을 대각화하였다. 2차 미분방정식 시스템의 파동방정식을 1차 미분방정식 시스템으로 변환하였고 병렬화를 통한 탄성파 해석 성능의 최적화를 위해 외연적 시간적분법인 4차 Runge-Kutta 방법을 이용해 해석영역에서의 변위응답을 계산하였다. 2차원 해석영역에서 SH파의 전파 거동을 계산하는 수치예제를 통해 제시한 외연적 스펙트럴 요소법의 정확성을 검증하였고 PML로 인한 반사파의 감쇠효과를 확인하였다. 외연적 시간적분법을 통한 탄성파 해석 기법은 3차원 영역과 같은 대규모 문제에서의 탄성파 수치해석을 효율적으로 수행할 수 있을 것으로 기대된다.

Combination of isogeometric analysis and extended finite element in linear crack analysis

  • Shojaee, S.;Ghelichi, M.;Izadpanah, E.
    • Structural Engineering and Mechanics
    • /
    • 제48권1호
    • /
    • pp.125-150
    • /
    • 2013
  • This paper intends to present an application of isogeometric analysis in crack problems. An isogeometric formula is developed based on NURBS basis functions - enriched and adopted via X-FEM enrichment functions. The proposed method which is represented by the combination of the two above-mentioned methods, first by using NURBS functions models the geometry exactly and then by defining level set function on domain, identifies available discontinuity in elements. Additional DOFs are allocated to elements containing the crack and X-FEM enrichment functions enrich approximate solution. Moreover, a subelement refinement technique is used to improve the accuracy of integration by the Gauss quadrature rule. Finally, several numerical examples are illustrated to demonstrate the effectiveness, robustness and accuracy of the proposed method during calculation of crack parameters.

베리오그램 모델에 따른 크리깅 보간법의 정확성 (Accuracy of Kriging interpolation method with respect to variogram model)

  • 우광성;신영식;이희정
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2008년도 정기 학술대회
    • /
    • pp.160-165
    • /
    • 2008
  • Kriging interpolation technique has been proposed by Danny Krige of South Africa to find the mineral distribution grade from information of geography and space. It is one of the generally used prediction technique for the mineral distribution grade and underground water level in wide scope also used in computer graphics fields by the ability for the surface regeneration This paper comprises two specific objectives. The first is to examine the applicability of Ordinary Kriging interpolation(OK) to finite element method that is based on variogram modeling in conjunction with different allowable limits of separation distance. The second is to investigate the accuracy according to theoretical variogram such as polynomial, Gauss, and spherical models.

  • PDF

Kohonen 학습의 입력에 잡음 주입의 효과 (The Effect of Noise Injection into Inputs in the Kohonen Learning)

  • 정혁준;송근배;이행세
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2001년도 하계종합학술대회 논문집(4)
    • /
    • pp.265-268
    • /
    • 2001
  • This paper proposes the strategy of noise injection into inputs in the Kohonen learning algorithm (KKA) to improve the local convergence problem of the KLA. Noise strengths are high in the begin of the learning and gradually lowered as the teaming proceeds. This strategy is a kind of stochastic relaxation (SR) method which is broadly used in the general optimization problems. It is convenient to implement and improves the convergence properties of the KLA with moderately increased computing time compared to the KLA. Experimental results for Gauss-Markov sources and real speech demonstrate that the proposed method can consistently provide better codebooks than the KLA.

  • PDF

A Comparative Study of Transcription Techniques for Nonlinear Optimal Control Problems Using a Pseudo-Spectral Method

  • Kim, Chang-Joo;Sung, Sangkyung
    • International Journal of Aeronautical and Space Sciences
    • /
    • 제16권2호
    • /
    • pp.264-277
    • /
    • 2015
  • This article investigates various transcription techniques for the Legendre pseudospectral (PS) method to compare the pros and cons of each approach. Eight combinations from four different types of collocation points and two discretization methods for dynamic constraints, which differentiate Legendre PS transcription techniques, are implemented to solve a carefully selected test set of nonlinear optimal control problems (NOCPs). The convergence property and prediction accuracy are compared to provide a useful guideline for selecting the best combination. The tested NOCPs consist of the minimum time, minimum energy, and problems with state and control constraints. Therefore, the results drawn from this comparative study apply to the solution of similar types of NOCPs and can mitigate much debate about the best combinations. Additionally, important findings from this study can be used to improve the numerical efficiency of the Legendre PS methods. Three PS applications to the aerospace engineering problems are demonstrated to prove this point.

비대칭 보에 의해 보강된 등방성 평판의 음향방상에 관한 연구 (A study on sound radiation from isotropic plates stiffened by unsymmetrical beams)

  • 김택현;오택열;김종태
    • 대한기계학회논문집A
    • /
    • 제22권4호
    • /
    • pp.753-761
    • /
    • 1998
  • The determination of sound pressure radiated from periodic plate structures is fundamental in the estimation of noise level in aircraft fuselages or ship hull structures. As a robust approach to this problem, here a very general and comprehensive analytical model is developed for predicting the sound radiated by a vibrating plate stiffened by periodically spaced orthogonal unsymmetrical beams subjected to a sinusoidally time varying point load. The plate is assumed to be infinite in extent, and the beams are considered to exert both line force and moment reactions on it. Using this theoretical model, the sound pressure levels on axis in a semi-infinited fluid (water) bounded by the plate were calculated using three numerical tools such as the Gauss-Jordan method, the LU decomposition method and the IMSL numberial package. Especially, the variation in the sound pressure levels and their modes were investigated according to the change in frequency, bay spacing and bay distance.