• Title/Summary/Keyword: Gauss method

Search Result 422, Processing Time 0.03 seconds

Stress Intensity Factor of Single Edge Cracked Plates Considering Materials and Geometry of Patch by p-Convergent Partial Layerwise Model (p-수렴 부분층별모델에 의한 일변균열판의 패치재료 및 기하형상에 따른 응력확대계수)

  • Ahn, Hyeon-Ji;Ahn, Jae-Seok;Woo, Kwang-Sung
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.23 no.2
    • /
    • pp.191-198
    • /
    • 2010
  • This study investigated that the stress reduction of single edge cracked plates with patch repairs according to different type of patching such as material, size and thickness of patch and adhesive as well as single sided or double sided patches. As a numerical tool, the p-convergent partial layerwise model has been employed. The proposed model is formulated by assuming piecewise linear variation of in-plane displacement and a constant value of out-of-plane displacements across thickness. The integrals of Legendre polynomials are chosen to define displacement fields and Gauss-Lobatto numerical integration is implemented in order to directly obtain maximum values occurred at the nodal points of each layer without other extrapolation techniques. Also, total strain energy release rate method is adopted to obtain stress intensity factors. Numerical examples are presented not only to demonstrate the stress reduction effect in terms of non-dimensional stress intensity factor and deflection with respect to different type of patch repairs, but also the accuracy of proposed model.

Influence of Magnetic Field Near the Substrate on Characteristics of ITO Film Deposited by RF Sputtering Method (기판 부근의 자기장이 RF 스퍼터링법으로 증착된 ITO 박막의 특성에 미치는 영향)

  • Kim, Hyun-Soo;Jang, Ho-Won;Kang, Jong-Yoon;Kim, Jin-Sang;Yoon, Suk-Jin;Kim, Chang-Kyo
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.25 no.7
    • /
    • pp.563-568
    • /
    • 2012
  • Indium tin oxide (ITO) films were prepared using radio frequency (RF) magnetron sputtering method, magnets were equipped near the target in the sputter to bring the plasma near the target. The effect of magnetic field that brings the plasma near the substrate was compared with that of substrate heating. The effect of substrate heating on the grain size of the ITO thin film was larger than that of the magnetic field. However, the grain size of the ITO thin film was larger when the magnetic field was applied near the substrate during the sputtering process than when the substrate was not heated and the magnetic field was not applied. If stronger magnetic field is applied near the substrate during sputtering, it can be expected that the ITO thin film with good electrical conductivity and high transparency is obtained at low substrate temperature. When magnetic field of 90 Gauss was applied near the substrate during sputtering, the mobility of the ITO thin film increased from 15.2 $cm^2/V.s$ to 23.3 $cm^2/V.s$, whereas the sheet resistivity decreased from 7.68 ${\Omega}{\cdot}cm$ to 5.11 ${\Omega}{\cdot}cm$.

Research on Teaching of Linear Algebra Focused on the Solution in the System of Linear Equations (선형방정식계의 해법을 중심으로 한 선형대수에서의 교수법 연구)

  • Kang, Sun-Bu;Lee, Yong-Kyun;Cho, Wan-Young
    • School Mathematics
    • /
    • v.12 no.3
    • /
    • pp.323-335
    • /
    • 2010
  • Linear algebra is not only applied comprehensively in the branches of mathematics such as algebra, analytics, and geometry but also utilized for finding solutions in various fields such as aeronautical engineering, electronics, biology, geology, mechanics and etc. Therefore, linear algebra should be easy and comfortable for not only mathematics majors but also for general students as well. However, most find it difficult to learn linear algebra. Why is it so? It is because many studying linear algebra fail to achieve a correct understanding or attain erroneous concepts through misleading knowledge they already have. Such cases cause learning disability and mistakes. This research suggests more effective method of teaching by analyzing difficulty and errors made in learning system of linear equations.

  • PDF

Analysis of Tumorigenicity Data with Informative Censoring (종속적인 중도절단을 가진 동물종양 자료의 분석을 위한 모형)

  • Kim, Jin-Heum;Kim, Youn-Nam
    • The Korean Journal of Applied Statistics
    • /
    • v.23 no.5
    • /
    • pp.871-882
    • /
    • 2010
  • In animal tumorigenicity data, the occurrence time of tumor is not observed because the existence of a tumor is examined only at either time of natural death or time of sacrifice for the animal. A three-state model (Health-Tumor onset-Death) is widely used to model the incomplete data. In this paper, we employed a frailty effect into the three-state model to incorporate the dependency of death on tumor occurrence when the time of natural death works as an informative censoring against the tumor onset time. For the inference of parameters, then the EM algorithm is considered in order to deal with missing quantities of tumor onset time and random frailty. The proposed method is applied to the bladder tumor data taken from Lindsey and Ryan (1993, 1994) and a simulation study is performed to show the behavior of the proposed estimators.

Characteristics of Harbor Resonance in Donghae Harbor (Part 2. Numerical Calculation) (동해항(東海港)의 부진동(副振動) 특성(特性)(2. 수치계산(數値計算)))

  • Jeong, Weon Mu;Jung, Kyung Tae;Chae, Jang Won
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.13 no.3
    • /
    • pp.185-192
    • /
    • 1993
  • A numerical model has been used for the prediction of wave agitations in a harbor which are induced by the intrusion and transformation of incident waves. Based on linear wave theory a mild-slope equation has been used. A partial absorbing boundary condition has been used on solid boundary. Functional has been derived following Chen and Mei(l974)'s technique based on Hybrid Element Method which uses finite discretisation in the inner region and analytical solution of Helmholtz equation in the outer region. Final simultaneous equation has been solved using the Gaussian Elimination Method. Helmholtz natural period and second peak period of seiche in Donghae Harbor coincide very well with the results from numerical calculation. Computed amplification factors show good agreement, especially when the reflection coefficient on solid boundary is 0.99, with those of measurements.

  • PDF

Detailed Flow Analysis of Helicopter Shrouded Tail Rotor in Hover Using an Unstructured Mesh Flow Solver (비정렬격자계를 이용한 헬리콥터 덮개 꼬리 로터의 제자리 비행 유동 해석)

  • Lee, Hui Dong;Gwon, O Jun;Gang, Hui Jeong;Ju, Jin
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.31 no.5
    • /
    • pp.1-9
    • /
    • 2003
  • Detailed flow of a shrouded tail rotor in hover is studied by using a compressible inviscid flow solver on unstructured meshes. The numerical method is based on a cell-centered finite-volume discretization and an implicit Gauss-Seidel time integration. Numerical simulation is made for a single blade attached to the center body and guide by the duct by imposing a periodic boundary condition between adjacent rotor blades. The results show that the performance of an isolated rotor without shroud compares well with experiment. In case of a shrouded rotor, correction of the collective pitch angle is made such that the overall performance matches with experiment to account for the uncertainties of the experimental model configuration. Details of the flow field compare well with the experiment confirming the validity of the present method.

Parameterized Modeling of Spatially Varying PSF for Lens Aberration and Defocus

  • Wang, Chao;Chen, Juan;Jia, Hongguang;Shi, Baosong;Zhu, Ruifei;Wei, Qun;Yu, Linyao;Ge, Mingda
    • Journal of the Optical Society of Korea
    • /
    • v.19 no.2
    • /
    • pp.136-143
    • /
    • 2015
  • Image deblurring by a deconvolution method requires accurate knowledge of the blur kernel. Existing point spread function (PSF) models in the literature corresponding to lens aberrations and defocus are either parameterized and spatially invariant or spatially varying but discretely defined. In this paper, a parameterized model is developed and presented for a PSF which is spatially varying due to lens aberrations and defocus in an imaging system. The model is established from the Seidel third-order aberration coefficient and the Hu moment. A skew normal Gauss model is selected for parameterized PSF geometry structure. The accuracy of the model is demonstrated with simulations and measurements for a defocused infrared camera and a single spherical lens digital camera. Compared with optical software Code V, the visual results of two optical systems validate our analysis and proposed method in size, shape and direction. Quantitative evaluation results reveal the excellent accuracy of the blur kernel model.

DETERMINATION OF THE INVARIANT POINT OF THE KOREAN VLBI NETWORK RADIO TELESCOPES: FIRST RESULTS AT THE ULSAN AND TAMNA OBSERVATORIES

  • Yoo, Sung-Moon;Jung, Taehyun;Lee, Sung-Mo;Yoon, Ha Su;Park, Han-Earl;Chung, Jong-Kyun;Roh, Kyoung-Min;Wi, Seog Oh;Cho, Jungho;Byun, Do-Young
    • Journal of The Korean Astronomical Society
    • /
    • v.51 no.5
    • /
    • pp.143-153
    • /
    • 2018
  • We present the first results of the invariant point (IVP) coordinates of the KVN Ulsan and Tamna radio telescopes. To determine the IVP coordinates in the geocentric frame (ITRF2014), a coordinate transformation method from the local frame, in which it is possible to survey using the optical instrument, to the geocentric frame was adopted. The least-square circles are fitted in three dimensions using the Gauss-Newton method to determine the azimuth and elevation axes in the local frame. The IVP in the local frame is defined as the mean value of the intersection points of the azimuth axis and the orthogonal vector between the azimuth and elevation axes. The geocentric coordinates of the IVP are determined by obtaining the seven transformation parameters between the local frame and the east-north-up (ENU) geodetic frame. The axis-offset between the azimuth and elevation axes is also estimated. To validate the results, the variation of coordinates of the GNSS station installed at KVN Ulsan was compared to the movement of the IVP coordinates over 9 months, showing good agreement in both magnitude and direction. This result will provide an important basis for geodetic and astrometric applications.

-An Analysis of Pre-Stressed Concrete Farn Sild by the Finite Element Method- (유한요소법에 의한 PC 농업용 사이로의 해석에 관한 연구 -제2보 탄성지반에 놓인 경우-)

  • 조진구;조현영;박병기
    • Magazine of the Korean Society of Agricultural Engineers
    • /
    • v.24 no.3
    • /
    • pp.73-83
    • /
    • 1982
  • study aims to derive a rational method for the analysis of the farm silo supported on an elastic foundation in which it is assumed that the reaction pressure of the soil at a point is proportional to the deflection at that point. In order to investigate the effects of an elastic foundation on the behaviour of the structures on it, the analysis of the farm silo resting on an elastic foundation was compared with the solution that the ground support may be assumed uniform (which was obtained from part I of this paper). To calculate the deformation of an elastic foundation, Boussinesq's solution which allows an interaction of the various parts of ground was adopted. In this case, the foundation was treated as a superparametric element additionally. In the evaluation of an element stiffness matrix, Gauss quadrature' was used. In above numerical integration, 3-point rule for the farm silo wall and the footing was introduced and 2-point rule for the evaluation of a reaction between the footing and the elastic foundation was adopted. The stresses of a farm silo on an elastic foundation were smaller than those which the distribution of contact pressure between the footing and the soil is assumed uniformly. Since the differences of stresses were remarkable in PS structures than RC structures, it is desirable that designers take into account the effect of an elastic foundation for the case of PS structures. It can be noted that while the effect of an elastic foundation was more conspicuously observed in near of the ground, the value of stresses at far from the soil was little affected by an supported soil.

  • PDF

Curvature Radius of Equivalent Lens Obtained by Recursive Numerical Solving of Gaussian Equations (재귀적 수치 계산법을 이용한 등가 렌즈의 곡률 계산)

  • Lee, Kyu Haeng
    • Korean Journal of Optics and Photonics
    • /
    • v.33 no.6
    • /
    • pp.275-286
    • /
    • 2022
  • As a first step in the optical design process, we derive a recursive numerical calculation method that can give a solution to the Gaussian equation that the paraxial rays satisfy. Given the refractive power, the angle of incidence to the first principal plane of the lens, the angle of exit to the second principal plane of the lens, and the distance between the principal planes, the radii of curvature of the front and back surfaces of a lens can be obtained by applying the recursive numerical calculation method proposed in this paper according to the thickness of the lens. If a module consists of two or more lenses, the thickness and radius of curvature of each lens can be similarly determined after selecting the distance between the principal planes of the lens under the condition of the design specification while increasing the number of lenses one by one.