• Title/Summary/Keyword: 등각사상

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Complex stress function for the two dimensional cracked infinite body subjected to uniform shear stress (균일전단응력을 받는 2차원 균열포함 무한체에 대한 복소응력함수)

  • Kim, Ok-Whan
    • Proceedings of the KAIS Fall Conference
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    • 2008.11a
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    • pp.79-81
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    • 2008
  • 2차원균열을 포함하고 있는 무한체가 균일한 전단응력을 받고 있는 경우에 대한 복소응력함수를 기존의 응력함수를 이용하여 해석적으로 구하였다. 이는 등각사상과 정칙연속법에 의하여 구하였다. 결과는 극한의 경우에 대하여 검증하였으며 구한 복소응력함수는 맞는다는 것을 보여준다.

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A study on the convergence of method for Theodorsen equation by low frequency pass filter (저주파필터를 이용한 Theodorsen 방정식 해법의 수렴성에 관한 연구)

  • Song, Eun-Jee
    • Proceedings of the Korea Information Processing Society Conference
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    • 2002.11a
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    • pp.419-422
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    • 2002
  • 저자는 등각사상을 추하기 위한 기존의 여러 Theodorsen 방정식의 해법 중 가장 유효한 해법으로 알려져 있는 Wegmann의 방법을 다룬바 있다. Wegmann의 방법으로 수치실험을 한 결과 난이도가 높다고 예상되는 문제에 있어 수렴했다가 발산을 하는 불안정현상이 나타났으며 수렴하지 않는 불안정현상의 원인을 분석하여 저주파필터를 적용한 새로운 반복법을 제안하여 Wegmann 방법으로는 발산하는 모든 문제에 있어서 수렴하는 수치실험 결과를 얻었다[1]. 본 논문에서는 저주파필터를 적용한 해법에 의해 수치적으로 수렴한 결과를 이론적으로 증명한다.

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Analysis of Photoelastic Stress Field Around Inclined Crack Tip by Using Hybrid Technique (하이브리드 기법에 의한 경사균열 팁 주위의 광탄성 응력장 해석)

  • Chen, Lei;Seo, Jin;Lee, Byung-Hee;Kim, Myung-Soo;Baek, Tae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.9
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    • pp.1287-1292
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    • 2010
  • In this paper, a hybrid technique is presented. First, the isochromatic fringe data of a given set of points are calculated by the finite element method and are used as input data in complex variable formulations. Then the numerical model of the specimen with a central inclined crack is transformed from the physical plane to the complex plane by conformal mapping. The stress field is analyzed and the mixed-mode stress intensity factors are calculated for this complex plane. The stress intensity factors are calculated by the finite element method as well as by a theoretical method and compared with each other. In order to conveniently compare these values with each other, both actual and regenerated photoelastic fringe patterns are multiplied by a factor of two and sharpened by digital image processing.

Analysis of Shielded Microstrip Line with Ground Aperture using Conformal Mapping Method (등각사상 법을 이용한 접지 면에 어퍼처를 갖는 차폐된 마이크로스트립 선로 해석)

  • Chun Dong-Wan;Lee Jin-Taek;Kim Won-Ki;Shin Chull-Chai
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.15 no.10 s.89
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    • pp.944-951
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    • 2004
  • In this paper, we proposed the method of the characteristic impedance and effective dielectric constant calculations of the shielded microstrip line with ground aperture using conformal mapping method. This method has advantages that can calculate the transmission parameters without using any other numerical method because present the closed form equations. First of all, we supposed the signal propagate with the microstrip mode(Quasi-TEM) and calculated the capacitance divide by three sections and calculated the characteristic impedance and effective dielectric constant using calculated capacitances. From the HFSS simulation result, calculated result was very similar to the simulation result within the five percent error range.

Torque Characteristics Analysis of Harmonic Side Drive Motor by Conformal Mapping (등각사상에 의한 하모닉 모터의 토오크 특성 해석)

  • Yun, Seo-Jin;Lee, Eun-Ung;Lee, Dong-Ju
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.3
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    • pp.104-109
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    • 1999
  • In order to design and predict the performance of the harmonic side drive motor, it is necessary to analyze the torque generated by the structure. In this paper, an analytical model is proposed for design. Conformal mapping is used to model the capacitance and torque of the motor as a function of the rotor angular position with two-dimensional approximation. Then the result of conformal mapping analysis is verified with F.E.M result.

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Stress intensity factor and stress distribution near crack tip for infinite body containing regid inclusion with crack shape (균열형상의 강체함유물을 포함하는 무한체에 대한 균열선단 부근의 응력분포와 응력세기계수)

  • Lee, Kang-Young;Kim, Jong-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.3
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    • pp.680-683
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    • 1998
  • In case of the infinite body containing a rigid inclusion with line crack shape, stress intensity factor is determined and the relation between stress intensity factor and stress distribution near a crack tip is developed. Also, the relation between stress intensity factor and Kolosoff stress function is developed. Finally, these results are compared with those that the crack surface is under no traction.

Formulation of a Singular Finite Element and Its Application (특이 유한요소의 구성과 응용)

  • Kim, Myung-Sik;Lim, Jang-Keun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.6 s.165
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    • pp.1018-1025
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    • 1999
  • For the effective analysis of two dimensional plane problems with geometrical discontinuities, singular finite element has been proposed. The element matrix equation was formulated on the basis of hybrid variational principle and Trefftz function sets derived consistently from the complex theory of plane elasticity by introducing a conformal mapping function. In order to suggest the accuracy characteristics of the proposed singular finite element, typical plane problems were analyzed and these results were compared with exact solutions. The singular finite element gives the comparatively exact values of stress concentration factors or stress intensity factors and can be effectively used for the analysis of mechanical structures containing various geometrical discontinuities.

Analysis of Laminar Flow Through Internally Finned Tube (Fin이 부착된 원관내를 통과하는 층류 유동해석)

  • 정호열;정재택
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.14 no.3
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    • pp.254-260
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    • 2002
  • There have been many studies for the flow through internally finned tube, since the heat exchangers with fin device derive much attention in heat transfer enhance cent. In this study, analysis of laminar flow through the circular tube with longitudinal fins are investigated. The height and the number of fins are arbitrary. The flow field is assumed to be laminar and conformal mapping is used to obtain analytic solution. From the analytic solution, equi-velocity lines are shown, and the flow rate through the finned tube is calculated for various fin heights and numbers of fins. Darcy friction factor for this finned tube and shear stress distributions on the wall and fin are also considered.

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

  • Baek, Tae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1702-1711
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    • 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.