• Title/Summary/Keyword: 타원함수

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Stress analysis of creep material containing elliptical rigid inclusion by complex pseudo-stress function (복소 유사응력함수에 의한 타원 강체함유물을 내포하는 크립재료의 응력해석)

  • Lee, Kang-Yong;Kim, Jong-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.2
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    • pp.408-415
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    • 1998
  • The analysis model is the power law creep material containing an elliptical rigid inclusion subjected to the arbitrarily directional stress on infinite boudary. 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.

Application of Weight Function Method to Elliptical Arc Through Cracks at Mechanical Fastener Holes (기계적 체결홀에 존재하는 타원호형 관통균열에 대한 가중함수법의 적용)

  • Heo, Sung-Pil;Yang, Won-Ho;Chung, Ki-Hyun;Hyun, Cheol-Seung
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.304-310
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    • 2001
  • Cracks at mechanical fastener holes usually nucleate as elliptical comer cracks at the faying surface of the mechanical joints and grow as elliptical arc through cracks after penetrating the opposite surface. In this study mode I, II and III stress intensity factors at two surface points of elliptical arc through cracks at mechanical fastener holes are analyzed by applying weight function method. The weight function method for two dimensional mixed-mode problem is extended to three dimensional one and it is verified.

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Determination of Stress Intensity Factors for Embedded Elliptical Crack in Turbine Rotor (터빈축차내에 내재된 타원균열의 응력세기계수 결정)

  • 이강용;김종성;하정수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.5
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    • pp.1229-1242
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    • 1995
  • The thermal shock stress intensity factors of semi-elliptical surface crack in finite plate and the stress intensity fractors of embedded elliptical crack in turbine rotor is determined by means of Vainshtok weight function method. In case of semi-elliptical surface crack, the solution is compared with previous solution. The stress intensity factor for embedded elliptical crack in turbine rotor loaded by centrifugal and thermal loading is also determined. In this case, the value of stress intensity factor is larger at crack contour near internal radius surface and is almost constant at the crack contour farther from internal radius surface.

A Fast Multiplication Method for Elliptic Curves defined on small finite fields (작은 유한체 위에 정의된 타원곡선의 고속연산 방법)

  • 박영호;정수환
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.12 no.5
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    • pp.45-51
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    • 2002
  • As Koblitz curve, the Frobenius endomorphism is know to be useful in efficient implementation of multiplication on non-supersingular elliptic cures defined on small finite fields of characteristic two. In this paper a method using the extended Frobenius endomorphism to speed up scalar multiplication is introduced. It will be shown that the proposed method is more efficient than Muller's block method in [5] because the number of point addition for precomputation is small but on the other hand the expansion length is almost same.

Dielectric Function Analysis of Cubic CdSe Using Parametric Semiconductor Model (변수화 반도체 모델을 이용한 Cubic Zinc-blonde CdSe의 유전함수 분석)

  • Jung, Y.W.;Ghong, T.H.;Lee, S.Y.;Kim, Y.D.
    • Journal of the Korean Vacuum Society
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    • v.16 no.1
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    • pp.40-45
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    • 2007
  • ZnCdSe alloy semiconductor was widely used for the optoelectronic device. And CdSe is the end-point in this material. In this work, we measured the dielectric function spectrum of cubic CdSe with Vacuum Ultra Violet spectroscopic ellipsometry and analysed this data with parametric model. As a result, we observed some of transition energy point over 6 eV and obtained the database for dielectric function spectrum, which could be used for temperature or alloy composition dependence study on optical property of CdSe.

A prolate spheroidal head modeling of head related transfer function based on ray tracing formula (선추적공식을 이용한 머리전달함수의 회전타원체 형상 모델링)

  • Jo, Hyun;Park, Young-Jin;Park, Youn-Sik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.934-938
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    • 2008
  • To customize individual characteristics of HRTF, a spherical model has been used for structural modeling technique. A pseudo-code of prolate spheroidal HRTF caused by incident acoustic point source is already developed, and it can be used a head shadow filter for structural modeling of HRTF. In this research, to see the necessity and efficiency of spheroidal head modeling, ITD optimization is performed on CIPIC HRTF database. From given cost function, ITD-optimized spheroidal head model, whose ITD information is the most matched version of measured ITD information, is found by varying head parameters subject by subject. By comparing results of ITD-optimized spheroids and ITD-optimized spheres, we concluded that a spherical head model is more efficient way of generating head shadow effect than a spheroidal head model does.

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Stress Intensity Factor Analysis of Elliptical Arc Through Cracks at Mechanical Fastener Holes by Weight Function Method ( I ) - Development of Weight Function Method - (가중함수법에 의한 기계적 체결홀에 존재하는 타원호형 관통균열의 음력확대계수 해석 ( I ) - 가중함수법의 전개 -)

  • Heo, Seong-Pil;Yang, Won-Ho;Hyeon, Cheol-Seung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.10
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    • pp.1659-1670
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    • 2001
  • It has been reported that cracks at mechanical fastener holes usually nucleate as elliptical corner cracks at the faying surface of the mechanical joints and grow as elliptical arc through cracks after penetrating the opposite surface. The weight function method is an efficient technique to calculate the stress intensity factors fur elliptical cracks using uncracked stress field. In this study the weight function method for three dimensional mixed-mode problem applied to elliptical comer cracks Is modified for elliptical arc through cracks and the stress intensity factors at two surface points of elliptical arc through cracks at mechanical fastener holes are analyzed by the weight function method. This study consists of two parts and in part I , the weight function method for elliptical arc through cracks is developed and verified.

Expressions of Magnetic Field and Magnetic Gradient Tensor due to an Elliptical Disk (타원판에 의한 자력 및 자력 변화율 텐서 반응식)

  • Hyoungrea Rim
    • Geophysics and Geophysical Exploration
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    • v.27 no.2
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    • pp.108-118
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    • 2024
  • In this study, expressions for the magnetic field and magnetic gradient tensor due to an elliptical disk were derived. Igneous intrusions and kimberlite structures often have elliptical cylinders with axial symmetry and elliptical cross sections. An elliptical cylinder with varying cross-sectional areas was approximated using stacks of elliptical disks. The magnetic fields of elliptical disks were derived using the Poisson relation, which includes the direction of magnetization in the gravity gradient tensor, as described in a previous study (Rim, 2024). The magnetic gradient tensor due to an elliptical disk is derived by differentiating the magnetic fields, which is equivalent to obtaining ten triple-derivative functions acquired by differentiating the gravitational potential of the elliptical disk three times in each axis direction. Because it is possible to exchange the order of differentiation, the magnetic gradient tensor is derived by differentiating the gravitational potential of the elliptical disk three times, which is then converted into a complex line integral along the closed boundary curve of the elliptical disk in the complex plane. The expressions for the magnetic field and magnetic gradient tensor derived from a complex line integral in complex plane are perfectly consistent with those of the circular disk derived from the Lipschitz-Hankel integral.

Wireless PKI Authentication Structure using Elliptic Curve (타원곡선을 이용한 무선 PKI 인증구조)

  • Shin, Seung-Soo;Han, Kun-Hee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.7 no.5
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    • pp.879-886
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    • 2006
  • In this paper, we proposed an advanced authentication structure for reducing the certificate acquisition time which is one of the factors that should be improved in a conventional wireless PKI. A conventional key exchange method simply performs the key exchange setup step based on discrete algebraic subjects. But the mutual-authentication procedure of wireless PKI for reducing authentication time uses an elliptical curve for a key exchange setup step. We simulated and compared the authentication structure proposed by Sufatrio, K. Lam[4] and the our authentication structure in terms of the authentication time. Simulation results show that the proposed method reduces the authentication time comparing to the conventional wireless PKI authentication method.

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