• 소음진동
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• 제7권1호
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• pp.91-97
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• 1997

An analysis is presented on the stability of an elastic cantilever column having the elastic restraints at its free end, carrying an added tip mass, and subjected to uniformly distributed follower forces. The elastic restraints are formed by both a translational spring and a rotatory spring. For this purpose, the governing equations and boundary conditions are derived by using Hamilton's principle, and the critical flutter loads and frequencies are obtained from the numerical evaluation of the eigenvalue functions of this elastic system. The added tip mass increases as a whole the critical flutter load of the elastic cantilever column, but the presence of its moment of inertia of mass has a destabilizing effect. The existence of the translational and rotatory springs at the free end increases the critical flutter load of the elastic cantilever column. Nevertheless, their effects on the critical flutter load are not uniform because of their coupling. The translational spring restraining the free end of the cantilever column decreases the critical flutter load by coupling with a large value of tip mass, while by coupling with the moment of inertia of tip pass its effect on the critical flutter load is contrary. The rotatory spring restraining the free end of the cantilever column increases the critical flutter load by coupling with the tip mass, but decreases it by coupling with the moment of inertia of the tip mass.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2007년도 춘계학술대회 논문집
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• pp.413-416
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• 2007

In general, by means of the electrodepositing technique, a copper foil sample was prepared with a high purity and a high density. But the mechanical properties of the electrodepositing copper foil was lower than it's the rolling copper foil. However, the production of copper foil with approximately 36 microns thick in rolling process was very difficult. This paper describes the outline of the high accuracy cold rolling in 6 high mill which was developed for the purpose of rolling very thin accurate gauge copper foil(36 micron thick), and give several rolling characteristic of 600 mm wide copper foil. a) Large strain can be accumulated pass by pass in industrial multi-pass rolling processing to overcome large critical strain for thickness accuracy through optimization of rolling schedule. b) Also, permissible tension for rolling 0.45 $\sim$ 0.036 mm thick copper strip stably in accordance with the each pass work had been established by FEM simulation results. c) During the plate rolling process, considerable values of the forces of material pressure on the tool occur. These pressures cause the elastic deformation of the roll, thus changing the shape of the deformation region. A numerical simulation of roll deflection during cold rolling is presented in the paper. d) The proposed pass schedule can roll very thin copper foil of 36 micron thickness to a tolerance of ${\pm}1$ microns. The validity of simulated results was verified into rolling experiments on the copper foil.

• 대한수학회지
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• 제47권3호
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• pp.547-572
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• 2010

We study existence of positive solutions of the classical nonlinear Schr$\ddot{o}$dinger equation $-{\Delta}u\;+\;V(x)u\;-\;f(x,\;u)\;-\;H(x)u^{2*-1}\;=\;0$, u > 0 in $\mathbb{R}^n$ $u\;{\rightarrow}\;0\;as\;|x|\;{\rightarrow}\;{\infty}$. In fact, we consider the following more general quasi-linear Schr$\ddot{o}$odinger equation $-div(|{\nabla}u|^{m-2}{\nabla}u)\;+\;V(x)u^{m-1}$ $-f(x,\;u)\;-\;H(x)u^{m^*-1}\;=\;0$, u > 0 in $\mathbb{R}^n$ $u\;{\rightarrow}\;0\;as\;|x|\;{\rightarrow}\;{\infty}$, where m $\in$ (1, n) is a positive number and $m^*\;:=\;\frac{mn}{n-m}\;>\;0$, is the corresponding critical Sobolev embedding number in $\mathbb{R}^n$. Under appropriate conditions on the functions V(x), f(x, u) and H(x), existence and non-existence results of positive solutions have been established.

• 한국생산제조학회지
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• 제23권1호
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• pp.56-63
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• 2014

This paper provides a comprehensive study on the Sommerfeld phenomena in an asymmetric rotor with a nonideal power supply. An analytical approach is employed by deriving the equations of motion in a nondimensional form. The system parameters, including the asymmetry, external and internal damping, and motor power, are chosen to find their effects on the characteristics of the Sommerfeld phenomena and critical behavior around resonance. Results show that the rotor asymmetry suppresses the Sommerfeld phenomena and helps pass through resonance if the asymmetry is small. However, it is observed that the opposite effects exist in case of a large asymmetry. It is also found that the effects of external damping on the Sommerfeld phenomena are similar to those of the asymmetry, whereas internal damping has less effects than external damping and the asymmetry. By performing numerical simulations, four types of critical behavior are identified from the viewpoints of the stability and the passage through resonance.

• Korean Journal of Mathematics
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• 제21권2호
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• pp.117-124
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• 2013

We investigate the existence of weak solutions for the biharmonic boundary value problem with nonlinear term decaying at the origin. We get a theorem which shows the existence of nontrivial solutions for the biharmonic boundary value problem with nonlinear term decaying at the origin. We obtain this result by reducing the biharmonic problem with nonlinear term to the biharmonic problem with bounded nonlinear term and then approaching the variational method and using the mountain pass geometry for the reduced biharmonic problem with bounded nonlinear term.

• 대한수학회지
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• 제57권6호
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• pp.1551-1571
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• 2020

This paper is concerned with the following Kirchhoff-Schrödinger-Poisson system $$\begin{cases} -(a+b{\displaystyle\smashmargin{2}\int\nolimits_{\mathbb{R}^3}}{\mid}{\nabla}u{\mid}^2dx){\Delta}u+V(x)u+{\mu}{\phi}u={\lambda}f(x){\mid}u{\mid}^{p-2}u+g(x){\mid}u{\mid}^{p-2}u,&{\text{ in }}{\mathbb{R}}^3,\\-{\Delta}{\phi}={\mu}{\mid}u{\mid}^2,&{\text{ in }}{\mathbb{R}}^3, \end{cases}$$ where a > 0, b, µ ≥ 0, p ∈ (1, 2), q ∈ [4, 6) and λ > 0 is a parameter. Under some suitable assumptions on V (x), f(x) and g(x), we prove that the above system has at least two different nontrivial solutions via the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory. Some recent results from the literature are improved and extended.

• Korean Journal of Mathematics
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• 제20권4호
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• pp.533-540
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• 2012

We consider the multiplicity of the solutions for the elliptic boundary value problem with $C^1$ nonlinear term decaying at the origin. We get a theorem which shows the existence of the nontrivial solution for the elliptic problem with $C^1$ nonlinear term decaying at the origin. We obtain this result by reducing the elliptic problem with the $C^1$ nonlinear term to the el-liptic problem with bounded nonlinear term and then approaching the variational method and using the mountain pass geometry for the reduced the elliptic problem with bounded nonlinear term.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2009년도 춘계학술대회 논문집
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• pp.306-309
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• 2009

The influence of equal-channel angular pressing (ECAP) route on dynamic deformation behavior of ultra-fine grained Al-4.4%Mg alloys was investigated in this study. The 8-pass ECAPed specimens consisted of ultra-fine grains of $0.5{\mu}m$ in size, and contained the considerable amount of second phase particles, which were fragmented and distributed homogeneously in the matrix. The result of dynamic torsional tests indicated that the maximum shear stress and fracture shear strain were lowest in the specimen deformed by ECAP via route A among the 8-pass ECAPed specimens. The formation of adiabatic shear bands was addressed by concepts of critical shear strain, deformation energy required for void initiation, and microstructural homogeneity related to ECAP routes.

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2001년도 추계학술발표논문집 (상)
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• pp.711-714
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• 2001

본 논문에서는 파이프라인 구조를 이용하여 고성능 1 차원 이산 웨이블렛 변환 필터를 설계하였다. 각 레벨에서 입력이 다운샘플링(downsampling, decimation)되므로 각 레벨의 하드웨어를 폴딩(folding) 기법을 이용하여 곱셈기와 덧셈기를 공유함으로써 복잡도를 개선하였다. 즉, 제안한 구조에서는 레벨 2 와 레벨 3 에서 폴딩된 구조의 C.S.R(Circular Shift Register)곱셈기와 덧셈기를 사용함으로써 하드웨어 효율(hardware utilization)을 각 레벨에서 100%로 높일 수 있다. 또한, 홀수와 짝수의 샘플을 병렬로 입력함으로써 단일 입력의 시스템과 비교할 때, 동일 시간에 병렬화 만큼의 이득을 얻을 수 있었고, 필터 계수는 미러 필터(mirror filter)의 특성을 이용하여 쳐대한 고역 필터(high pass filter)와 저역 필터(low pass filter)의 계수들을 공유함으로써 곱셈기와 덧셈기의 수를 반으로 줄였다. 그리고 임계 경로(critical path)를 줄이기 위한 파이프라인 레지스터를 삽입하여 고성능 시스템을 구현하였다.

• 한국도로학회논문집
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• 제14권1호
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• pp.73-83
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• 2012

본 연구에서는 하이패스 차로의 속도감소를 유도하기 위한 적절한 노면표시를 도출하기 위하여 감성공학적 분석방법을 활용하여 연구를 수행하였다. 현재 고속도로 영업소에서는 감속유도를 위하여 하이패스 차로에 갈매기 노면표시를 설치하여 운영하고 있다. 본 연구에서는 하이패스 차로의 감속유도를 위하여 갈매기 노면표시 및 Peripheral Transverse Bar(PT bar)에 대한 효과평가를 실시하고, 두 가지 노면표시를 조합하여 6가지 시나리오를 도출하였다. 도출된 시나리오에 대하여 이용자의 Perception 측정 및 분석을 통한 노면표시 설계 시 Human Factor를 반영할 수 있는 방법론을 제시하였다. 분석결과 빗살무늬의 PT bar 및 $60^{\circ}$ 각도의 갈매기 노면표시의 조합시나리오가 가장 적절한 노면표시로 선정되었다. 본 연구의 결과는 하이패스 차량들의 통과속도를 감소시켜 고속도로의 안전성을 높일 수 있을 것으로 기대된다.