• 제목/요약/키워드: Conformal Mapping

검색결과 107건 처리시간 0.028초

직교이방성 재료의 구멍주위에 관한 하이브리드 응력해석시 요소크기의 효과 (Effect of element size in hybrid stress analysis around a hole in loaded orthotropic composites)

  • 백태현
    • 대한기계학회논문집A
    • /
    • 제21권10호
    • /
    • pp.1702-1711
    • /
    • 1997
  • A numerical study for the number of terms of a power series stress function and the effect of hybrid element size on stress analysis around a hole in loaded orthotropic composites is presented. The hybrid method coupling experimental and/or theoretical inputs and complex variable formulations involving conformal mappings and analytical continuity is used to calculate tangential stress on the boundary of the hole in uniaxially loaded, finite width glass epoxy tensile plate. The tests are done by rarying the number of terms, element size and nodal locations on the external boundary of the hybrid region. The numerical results indicate that the hybrid method is accurate and powerful in both experimental and numerical stress analysis.

Hubner 방법에 기초한 수치등각사상의 자동화 알고리즘 (Automatic algorithm for Numerical conformal mapping based on the Hubner's Method)

  • 송은지
    • 한국정보처리학회논문지
    • /
    • 제6권10호
    • /
    • pp.2716-2721
    • /
    • 1999
  • The problem of determining the conformal maps from the unit disk onto a jordan region has been completed by solving the theodorsen equation that is nonlinear. For the hubners method, which has been well known for the efficient method among the many suggestions for the Theodorsen equation, it has been reproved in our early study that the convergence rate could be remarkably improved by exploring and applying a low-frequency pass filter[1]. However, in the Hubner's method with the low-frequency filter, the discrete numbers and parameters of the low-frequency filter were able to be acquired only by experience. In this paper we show algorithms that determine the discrete numbers and parameters of the low-frequency filter automatically in accordance with the given region. This results from analyzing the function, which decides the shape of the given domain under the assumption that the degree of the problem depends of the transformation of a given domain, as seen in the Fourier Transform.

  • PDF

SOME GEOMETRIC INEQUALITIES OF MATHEMATICAL CONDUCTANCE

  • Chung, Bo-Hyun
    • 충청수학회지
    • /
    • 제26권2호
    • /
    • pp.315-321
    • /
    • 2013
  • Let $D_0$, $D_1{\subset}\bar{R}^n$ be non-empty sets and let ${\Gamma}$ be the family of all closed curves which join $D_0$ to $D_1$. In this note, we introduce the concept of the mathematical conductance $C({\Gamma})$ of a curve family ${\Gamma}$ and examine some basic properties of mathematical conductance. And we obtain the inequalities in connection with capacity of condensers.

극저온 시스템의 복사쉴드의 열전달 해석 (Heat Transfer Analysis of the Radiation Shield in Cryogenic Systems)

  • 정은수;박희찬;양형석;장호명
    • 한국초전도저온공학회:학술대회논문집
    • /
    • 한국초전도저온공학회 2002년도 학술대회 논문집
    • /
    • pp.177-180
    • /
    • 2002
  • A numerical model to obtain the temperature distribution in a radiation shield of cryogenic systems was proposed. Conformal mapping was used to transform the eccentric physical region of the upper plate to the concentric numerical region. The effects of the thickness of the radiation shield, the emissivities of the vacuum chamber and the radiation shield, and the eccentricity between the centers of the upper plate and the contact area with a cryocooler on the maximum temperature difference in a radiation shield were shown.

  • PDF

복소 유사 응력 함수에 의한 타원 강체 함유물을 내포하는 글잎 재료의 응력 해석

  • 김종성;이강용
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 1995년도 추계학술대회 논문집
    • /
    • pp.740-743
    • /
    • 1995
  • The analysis model is the power law creep material containing an elliptical rigid inclusion subjected to the arbitrarily directional stress on infinite boundary. The stress analysis is performed using the conformal mapping function and complex pseudo-stress function. The stress distributions near an elliptical rigid inclusion are obtained with various ellipse shapes, strain hardening exponents and directions of applied stress.

  • PDF

세괴와 세괴 재생핵에 대한 역사적 고찰

  • 정문자
    • 한국수학사학회지
    • /
    • 제15권1호
    • /
    • pp.83-92
    • /
    • 2002
  • Gator Szego was one of the most brilliant Mathematicians. Mathematical science owes him several fundamental contributions in such fields as theory of functions of a complex variables, conformal mapping, Fourier series, theory of orthogonal polynomials, and many others. He wrote the famous Polya-Szego Problems and Theorem in Analysis which is the two volume of concentrated mathematical beauty. In this paper, we mention Szego's life, Szego's work, and Szego reproducing kernel.

  • PDF

SLOW VISCOUS FLOW PAST A CAVITY WITH INFINITE DEPTH

  • Kim, D.W;Kim, S.B;Chu, J.H
    • Journal of applied mathematics & informatics
    • /
    • 제7권3호
    • /
    • pp.801-812
    • /
    • 2000
  • Two-dimensional slow viscous flow on infinite half-plane past a perpendicular infinite cavity is considered on the basis of the Stokes approximation. Using complex representation of the two-dimensional Stokes flow, the problem is reduced to solving a set of Fredholm integral equations of the second kind. The streamlines and the pressure and vorticity distribution on the wall are numerically determined.

저전압 VDMOS의 ON-저항 모델 (An Advanced Model of on-Resistance for Low Voltage VDMOS Devices)

  • 김일중;김성동;최연익;한민구
    • 대한전기학회논문지
    • /
    • 제41권3호
    • /
    • pp.267-273
    • /
    • 1992
  • An advanced on-resistance model of VDMOS devices in the low voltage regimes is proposed and verified by 2-D device simulations. The model considers the lateral gaussian doping profiles in the channel region and exact current spreading angles in the epitaxial layer for both linear and cellular geometries by employing the conformal mapping, It is found out that the on-resistance of low voltage VDMOS may be overestimated considerably if it is analyzed by the conventional method. The 2-D device simulation results show that the proposed model is valid for the VDMOS devices in the low voltage regimes.

  • PDF

굴곡형 흡입관에서의 소음 방사 해석 (Numerical Study of Sound Radiation from curved intake)

  • 심인보;이덕주;안창수
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 2002년도 추계 학술대회논문집
    • /
    • pp.88-94
    • /
    • 2002
  • Curved intakes are commonly used from commercial aircraft to military missile. Sound radiation from the intake of air vehicle affects cabin noise, community noise and military detection. In this paper, Sound radiation from curved intake is computed using the high order, high resolution scheme. The generalized characteristic boundary conditions, adaptive nonlinear artificial dissipation model and conformal mapping for high order, high resolution scheme are used. The geometric change of curved intake and the frequency of acoustic source are considered. Two dimensional Euler equations are solved for theses analyses.

  • PDF