• 제목/요약/키워드: Gauss method

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일반좌표계 변환을 이용한 헤링본 그루브 베어링의 해석 (Analysis of Herringbone Grooved Journal Bearing Using Generalized Coordinate Transformation)

  • 박상신;한동철
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 1999년도 제29회 춘계학술대회
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    • pp.317-324
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    • 1999
  • The present work is an attempt to calculate the steady state pressure and perturbed pressure of herringbone grooved journal bearings. A generalized coordinate system is introduced to handle the complex bearing geometry. The coordinates are fitted to the groove boundary and the Reynold's equation is transformed to be fitted to this coordinates system using the Gauss divergence theorem. This method makes it possible to deal with an arbitrary configuration of a lubricated surface. The characteristics of finite herringbone grooved journal are well calculated using this method.

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일반좌표계 변환을 이용한 헤링본 그루브 베어링의 해석 (Analysis of Herringbone Grooved Journal Bearing Using Generalized Coordinate Transformation)

  • 박상신;김영진;유송민
    • Tribology and Lubricants
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    • 제16권6호
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    • pp.432-439
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    • 2000
  • The present work is an attempt to calculate the steady state pressure and perturbed pressure of herringbone grooved journal bearings. A generalized coordinate system is introduced to handle the complex bearing geometry. The coordinates are fitted to the groove boundary and the Reynold's equation is transformed to be fitted to this coordinate system using the Gauss divergence theorem. This method makes it possible to deal with an arbitrary configuration of a lubricated surface. The caharacteristics of finite herringbone groove journal bearing are well calculated using this method.

전기 임피던스 단층촬영법에서 빠른 반복적 가우스-뉴턴 방법을 이용한 온라인 영상 복원 (Online Image Reconstruction Using Fast Iterative Gauss-Newton Method in Electrical Impedance Tomography)

  • 김창일;김봉석;김경연
    • 전자공학회논문지
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    • 제54권4호
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    • pp.83-90
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    • 2017
  • 전기 임피던스 단층촬영법은 전극을 통해 주입된 전류와 측정된 전압을 기반으로, 내부 도전율 분포를 복원하는 기술로, 비교적 새로운 비파괴 영상 복원 기법이다. 본 논문에서는 이원 혼합물 유동 응용분야에서 온라인으로 적용시킬 수 있도록, 역문제의 계산시간을 줄일 뿐만 아니라 공간 해상도도 함께 향상시킬 수 있는 역문제 해법인 빠른 반복적 가우스-뉴턴 방법을 제안하였다. 제안한 방법의 영상 복원성능을 평가하기 위해 모의실험을 수행하고 그 결과를 비교분석하였다.

Efficient methods for integrating weight function: a comparative analysis

  • Dubey, Gaurav;Kumar, Shailendra
    • Structural Engineering and Mechanics
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    • 제55권4호
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    • pp.885-900
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    • 2015
  • This paper introduces Romberg-Richardson's method as one of the numerical integration tools for computation of stress intensity factor in a pre-cracked specimen subjected to a complex stress field across the crack faces. Also, the computation of stress intensity factor for various stress fields using existing three methods: average stress over interval method, piecewise linear stress method, piecewise quadratic method are modified by using Richardson extrapolation method. The direct integration method is used as reference for constant and linear stress distribution across the crack faces while Gauss-Chebyshev method is used as reference for nonlinear distribution of stress across the crack faces in order to obtain the stress intensity factor. It is found that modified methods (average stress over intervals-Richardson method, piecewise linear stress-Richardson method, piecewise quadratic-Richardson method) yield more accurate results after a few numbers of iterations than those obtained using these methods in their original form. Romberg-Richardson's method is proven to be more efficient and accurate than Gauss-Chebyshev method for complex stress field.

프라이자흐 모델과 유한요소법을 이용한 C.P.M의 착자 특성 해석 (Magnetizing Analysis of a Convergence Purity Magnet using Preisach model and Finite Element Method)

  • 윤태호;권병일;박승찬;우경일
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제49권11호
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    • pp.729-736
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    • 2000
  • This paper deals with the characteristic analysis of magnetizer for convergence purity magnet by the finite element method. The analysis utilizes combined method of the time-stepped finite element analysis and the Preisach model with hysteresis phenomena. In the finite element analysis, the non-linearity and the eddy current of the magnetizing fixure and permanent-magnet are taken account. The magnetization distribution in the permanent magnet is determined by using Preisach model which are composed of Everett function table and the first order transition curves is obtained by the Vibrating Sample Magnetometer. The calculated flux density values on the surface of the permanent magnet are led to the approximated gauss density values measured by the gauss meter. As a result, winding current, copper loss, eddy current loss of the magnetizing yoke, flux plot, surface gauss plot, temperature rise of the coil and resistor variation, vector diagram of magnetization distribution are shown.

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Cz 실리콘 단결정에서 비대칭 자기장이 고액 계면에 미치는 영향 (Effect of asymmetric magnetic fields on the interface shape in Czochralski silicon crystals)

  • 홍영호;심광보
    • 한국결정성장학회지
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    • 제18권4호
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    • pp.140-145
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    • 2008
  • Cz법을 이용하여 다양한 성장 조건하에서 실리콘 단결정이 성장되었따. 고액 계면 형상의 차이는 다양한 자기장 분포를 통하여 구현되었으며 결정의 고액 계면에 있어 ZGP(zero-Gauss plane) 형태와 자기장 세기(MI)의 효과가 실험적으로 연구되었따. ZGP의 형태는 커습 자기장에 있어 상부 및 하부 코일에 인가되는 자기장의 비율(MR)로 인하여 평평하거나 포물선의 형태를 갖게 된다. MR이 증가함에 따라 고액 계면은 더욱 음각(more concave)의 형태가 되고 이는 MR 증가에 따른 고액 계면으로의 뜨거운 융액이 쉽게 유입될 수 있음을 의미한다. 고액 계면의 효과적인 형상은 자기장 분포에 의존됨을 발견하였으며 실험결과는 다른 연구와 비교하였다.

전자계산기에 의한 다원연립 일차방정식의 해법에 관한 연구 (A Study on the Simultaneous Linear Equations by Computer)

  • 이정복
    • 산업경영시스템학회지
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    • 제8권12호
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    • pp.127-138
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    • 1985
  • There are several methods which have been presented up to now in solving the simultaneous linear equations by computer. They are Gaussian Elimination Method, Gauss-Jordan Method, Inverse matrix Method and Gauss-Seidel iterative Method. This paper is not only discussed in their mechanisms compared with their algorithms, depicted flow charts, but also calculated the numbers of arithmetic operations and comparisons in order to criticize their availability. Inverse Matrix Method among em is founded out the smallest in the number of arithmetic operation, but is not the shortest operation time. This paper also indicates the many problems in using these methods and propose the new method which is able to applicate to even small or middle size computers.

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A STUDY OF Q-CONTIGUOUS FUNCTION RELATIONS

  • Harsh, Harsh Vardhan;Kim, Yong Sup;Rakha, Medhat Ahmed;Rathie, Arjun Kumar
    • 대한수학회논문집
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    • 제31권1호
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    • pp.65-94
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    • 2016
  • In 1812, Gauss obtained fifteen contiguous functions relations. Later on, 1847, Henie gave their q-analogue. Recently, good progress has been done in finding more contiguous functions relations by employing results due to Gauss. In 1999, Cho et al. have obtained 24 new and interesting contiguous functions relations with the help of Gauss's 15 contiguous relations. In fact, such type of 72 relations exists and therefore the rest 48 contiguous functions relations have very recently been obtained by Rakha et al.. Thus, the paper is in continuation of the paper [16] published in Computer & Mathematics with Applications 61 (2011), 620.629. In this paper, first we obtained 15 q-contiguous functions relations due to Henie by following a different method and then with the help of these 15 q-contiguous functions relations, we obtain 72 new and interesting q-contiguous functions relations. These q-contiguous functions relations have wide applications.

가우스 적분점을 수정한 2차원 6-절점 요소 및 3차원 16-절점 요소에 의한 자유진동해석 (The Free Vibration Analyses by Using Two Dimensional 6-Node Element and Three Dimensional 16-Node element with Modification of Gauss Sampling Point)

  • 김정운;경진호;권영두
    • 대한기계학회논문집
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    • 제18권11호
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    • pp.2922-2931
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    • 1994
  • We propose a modified 6-node element, where the sampling point of Gauss quadrature moved in the thickness direction. The modified 6-node element has been applied to static problems and forced motion analyses. In this study, this method is extended to the finite element analysis of the natural frequencies of two dimensional problems. We also propose a modified 16-node element for three dimensional problems, which behaves much like a 20-node element with smaller degree of freedom. The modified 6-node and 16-node elements have been applied to the modal analyses of beams and plates, respectively. The results agree well with the results of the 8-node or 20-node element models.