• 한국공작기계학회:학술대회논문집
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• 한국공작기계학회 2003년도 춘계학술대회 논문집
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• pp.340-345
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• 2003

By the use of a similar numerical method as that in the previous paper, the forming limit strain by coating method of clad sheet metals is investigated, in which the FEM is applied and J2G(J2-Gotoh's corner theory) is utilized as the plasticity constitutive equation. Clad two-layer sheets and sheets bonded with dissimilar sheets on both surface planes are stretched in a plane-strain state, with various work-hardening exponent n-values and thicknesses of each layer. Processes of shear-band formation in such composite sheets are clearly illustrated. It is concluded that, in the clad state, the higher limiting strain of one layer is reduced due to the lower limiting strain of the other layer and vice versa, and does not necessarily obey the rule of linear combination of the limiting strain of each layer weighted according thickness.

• Kyungpook Mathematical Journal
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• 제54권2호
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• pp.249-262
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• 2014

In this paper, we have developed a non-homogeneous q-difference equation of first order for the generalized Mock theta function of order eight and besides these established limiting case of Mock theta functions of order eight. We have also established identities for Partial Mock theta function and Mock theta function of order eight and provided a number of cases of the identities.

• 충청수학회지
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• 제23권2호
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• pp.401-409
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• 2010

We study the existence of periodic solutions of Volterra equations by using the limiting equations and contraction mappings.

• Journal of Electrical Engineering and Technology
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• 제3권2호
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• pp.213-217
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• 2008

The flux-lock type superconducting fault current limiter(SFCL) can apply the magnetic field into the high-$T_C$ superconducting(HTSC) element by adopting the magnetic field coil in its third winding. To apply the magnetic field into the HTSC element effectively, the capacitor for LC resonance is connected in series with the magnetic field coil. However, the current waveform of third winding for the application of the magnetic field is affected by the LC resonance condition for the frequency of the source voltage and can affect the waveform of the limited fault current. In this paper, the current waveform of the third winding in the flux-lock type SFCL according to LC resonance condition during a fault period was analyzed. From the differential equation for its electrical circuit, the current equation of the third winding was derived and described with the natural frequency and the damping ratio as design parameters. Through the analysis according to the design parameters of the third winding, the waveform of the limited fault current was confirmed to be influenced by the current waveform of the third winding and the design condition for the stable fault current limiting operation of this SFCL was obtained.

• 한국초전도ㆍ저온공학회논문지
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• 제8권4호
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• pp.22-25
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• 2006

This paper deals with the computation of the current limiting behavior of high-temperature superconducting (HTS) modules for the superconducting fault current limiter (SFCL). The SFCL module consists of a monofilar type BSCCO-2212 tube and a shunt coil made of copper or brass. The shunt coil is connected to the monofilar superconducting tube in parallel. Through analysis of the quench behavior of the monofilar component with shunt coils, it is achieved to drive an equivalent circuit equation from the experimental circuit structure. In order to analyze the quench behavior of the SFCL module, we derived a partial differential equation technique. Inductance of the monofilar component and the impedance of the shunt coil are calculated by Bio-Savart and Ohm's formula, respectively. We computed the quench behavior using the calculated values, and compared the results with experimental results for the quench characteristics of a component. The results of computation and test agreed well each other, and it was concluded that the analytic result could be applied effectively to design of the distribution-level SFCL system.

• 대한화학회지
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• 제15권4호
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• pp.165-169
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• 1971

A general method of calculating the frequency shift due to lattice defects is developed for a one dimensional lattice with an arbitrary number of lattice points. The method is based on the Fourier transform of the equation of motion. It is shown that the frequency spectrum is determined by the roots of 5${\times}$5 secular equation, the coefficients of which depend on defects in the mass and the force constant as well as the number of the lattice points. For the limiting case of infinite lattice, the dimension of the secular equation reduces to three and the result agrees with that of Montroll and Potts.

• 한국해양학회지
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• 제17권2호
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• pp.69-73
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• 1982

現在 小振幅 表面波의 方程式은 風成流가 非廻轉性이라는 假定下에서 유도된 것이다. 그러나 波浪은 바람에 의해 강한 유체의 흐름이 발생된 다음에 형성된다. 이 흐름은 일반회전성이다. 따라서 廻轉流가 存在할 경우에 小振幅表面波를 지배 하는 方程式이 필요하다. 본 연구결과로 얻은 方程式은 非廻轉性의 경우도 한 값 으로 포함한다.

• Structural Engineering and Mechanics
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• 제43권2호
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• pp.211-223
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• 2012

This paper deals with large deformation post-buckling of a linear-elastic and hygrothermal beam with axially nonmovable pinned-pinned ends and subjected to a significant increase in swelling by an alternative method. Analytical approximate solutions for the geometrically nonlinear problem are presented. The solution for the limiting case of a string is also obtained. By coupling of the well-known Maclaurin series expansion and orthogonal Chebyshev polynomials, the governing differential equation with sinusoidal nonlinearity can be reduced to form a cubic-nonlinear equation, and supplementary condition with cosinoidal nonlinearity can also be simplified to be a polynomial integral equation. Analytical approximations to the resulting boundary condition problem are established by combining the Newton's method with the method of harmonic balance. Two approximate formulae for load along axis, potential strain for free hygrothermal expansion and periodic solution are established for small as well as large angle of rotation at the end of the beam. Illustrative examples are selected and compared to "reference" solution obtained by the shooting method to substantiate the accuracy and correctness of the approximate analytical approach.

• 대한화학회지
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• 제17권4호
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• pp.229-234
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• 1973

非水溶液 에틸렌디아민中에서, K-Hg,KI($C_1$) II ($C_2$)KI, Hg-K의 農談電位를 構成하여, 電位差法으로 電位差를 測定하여, Debye-Huckel型의 活性係數式으로 計算한 理論値와 比較한 결과 Marshall-Grunwald 식이 잘 適用되었다.

• 한국해안해양공학회지
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• 제7권1호
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• pp.1-11
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• 1995

비정상 완경사방정식을 이용하여 연안구조물 주위의 파랑변형을 예측하기 위한 수치모형을 개발하였다. 쇄파와 파반사를 보다 정확하게 해석하기 위하여 Izumiya and Horikawa(1984)의 에너지방정식을 이용하여 쇄파에 의한 감쇠와 해저면 마찰을 해석하였으며, 격자간격의 제한을 받는 비정상 완경사방정식의 단점을 보완하기 위하여 가변 격자체계를 도입하였다. 본 모형에 의한 실험치를 이론치 및 기존의 수리실험 결과와 비교하여 모형의 재현성 및 가변 격자체계의 적용성을 확인하였고, 실제 해역에도 적용하였다.