• Bulletin of the Korean Chemical Society
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• 제35권12호
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• pp.3443-3446
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• 2014

We present the solution of Klein Gordon equation with new generalized Morse-like potential using SUSYQM formalism. We obtained approximately the energy eigenvalues and the corresponding wave function in a closed form for any arbitrary l state. We computed the numerical results for some selected diatomic molecules.

• 대한수학회논문집
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• 제34권3호
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• pp.757-769
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• 2019

A solution of the heat equation with a distribution-valued potential is constructed by regularization. When the potential is the generalized derivative of a $H{\ddot{o}}lder$ continuous function, regularity of the resulting solution is in line with the standard parabolic theory.

• 대한화학회지
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• 제56권6호
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• pp.669-672
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• 2012

Classical molecular dynamics (MD) simulations using a scaled OSS2 potential originally derived from ab initio calculations are used to study the radial distribution functions of water. The original OSS2 water potential is shown to represent a glassy or an ice at ambient temperature, but the diffusion coefficient increases on increasing the temperature of the system or decreasing the density. This suggests scaling the OSS2 potential. The O-O, O-H, and H-H radial distribution functions and the corresponding coordination numbers for the scaled OSS2 potential, obtained by MD simulation, are in good agreement with the experiment results and calculations for the SPC/E water potential over a range of temperatures.

• 제어로봇시스템학회논문지
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• 제19권4호
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• pp.349-356
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• 2013

This paper presents formation control based on potential functions for unicycle robots. The unicycle robots move to formation position which is made from a reference point and neighboring robots. In the framework, a local minimum case occurred by combination of potential repulsed from neighboring robots and potential attracted from a formation line is presented, in which the robot escapes from a local minimum using a virtual escape point after recognizing trapped situation. As well, in the paper, potential functions are designed to keep the same distance between neighboring robots on a formation line, i.e. the relative distance between neighboring robots on a formation line is controlled by a potential function parameter. The simulation results show that the proposed approach can effectively construct straight line, V, and polygon formation for multiple robots.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2005년도 제36회 하계학술대회 논문집 전기설비
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• pp.49-51
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• 2005

This paper presents the potential interferences in various grounding electrode systems. The ground potential rise and potential interference coefficients were calculated as a function of the configuration and size of grounding electrodes and the distance between grounding electrodes. The potential rise and potential interference coefficient strongly depend on the distance between grounding electrodes, the shape and size of grounding electrodes.

• Smart Structures and Systems
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• 제9권3호
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• pp.231-251
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• 2012

The stochastic optimal control for a piezoelectric spherically symmetric shell subjected to stochastic boundary perturbations is constructed, analyzed and evaluated. The stochastic optimal control problem on the boundary stress output reduction of the piezoelectric shell subjected to stochastic boundary displacement perturbations is presented. The electric potential integral as a function of displacement is obtained to convert the differential equations for the piezoelectric shell with electrical and mechanical coupling into the equation only for displacement. The displacement transformation is constructed to convert the stochastic boundary conditions into homogeneous ones, and the transformed displacement is expanded in space to convert further the partial differential equation for displacement into ordinary differential equations by using the Galerkin method. Then the stochastic optimal control problem of the piezoelectric shell in partial differential equations is transformed into that of the multi-degree-of-freedom system. The optimal control law for electric potential is determined according to the stochastic dynamical programming principle. The frequency-response function matrix, power spectral density matrix and correlation function matrix of the controlled system response are derived based on the theory of random vibration. The expressions of mean-square stress, displacement and electric potential of the controlled piezoelectric shell are finally obtained to evaluate the control effectiveness. Numerical results are given to illustrate the high relative reduction in the root-mean-square boundary stress of the piezoelectric shell subjected to stochastic boundary displacement perturbations by the optimal electric potential control.

• 한국수자원학회논문집
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• 제40권8호
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• pp.665-675
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• 2007

해안 지역 지하수 최적 관리의 기본계획 수립 단계에 사용될 수 있는 간편한 개발가능량 산정식이 제안되었다. 산정식은 대수층 특성, 해수침투허용 거리, 지하수 해안유출량 그리고 양수정의 위치 등 주요 영향 변수들의 함수이므로 합리적이며, 보편적으로 사용되는 해석 해들과 Ghyben-Herzberg 법칙을 이용하여 유도되었다. 산정식은 관련 변수들의 양 함수로 표현될 수 있으므로 그 적용이 매우 간편하다. 또한 주로 주관적 경험에 의하여 그 값이 결정되어 온 양수정의 영향반경을 대수층의 수리특성과 양수량 등의 함수로 산정할 수 있는 식이 제안되었다. 가상 유역에 대한 적용과 수치 해와의 비교분석을 통하여 제안된 식들이 보수적인 결과를 산출한다는 것을 보였다. 제안된 식들을 기존 관정들이 존재하는 유역에 적용하면 추가 개발가능량을 평가할 수 있다.

• 한국정보통신학회논문지
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• 제15권10호
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• pp.2217-2222
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• 2011

본 연구에서는 이중게이트(Double Gate; DG)MOSFET의 채널내 전위와 전하분포의 관계를 가우스 함수를 이용한 포아송방정식으로부터 유도하고자 한다. 즉, 도핑분포는 가우스 함수를 이용하였으며 변수인 이온주입범위 및 분포편차에 대하여 문턱전압이하 스윙과 산화막 두께의 관계를 관찰하고자 한다. 포아송방정식으로부터 해석학적 전위분포 모델을 구하였으며 이를 이용하여 산화막 두께에 대한 문턱전압이하 스윙값의 변화를 구하였다. 문턱전압이하 스윙은 게이트전압에 대한 드레인전류의 변화를 나타내고 이론적으론 최소값 60 mV/dec을 나타내며 디지털소자응용에 매우 중요한 요소이다. 본 연구의 모델이 타당하다는 것을 입증하기 위하여 포텐셜 분포값을 수치해석학적 값과 비교하였다. 결과적으로 본 연구에서 제시한 포텐셜모델이 수치해석학적 시뮬레이션모델과 매우 잘 일치하였으며 도핑분포에 따라 문턱전압이하 스윙과 산화막두께의 관계를 분석하였다.

• Journal of information and communication convergence engineering
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• 제10권2호
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• pp.200-204
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• 2012

This study has presented the analysis of breakdown voltage for a double-gate metal-oxide semiconductor field-effect transistor (MOSFET) based on the doping distribution of the Gaussian function. The double-gate MOSFET is a next generation transistor that shrinks the short channel effects of the nano-scaled CMOSFET. The degradation of breakdown voltage is a highly important short channel effect with threshold voltage roll-off and an increase in subthreshold swings. The analytical potential distribution derived from Poisson's equation and the Fulop's avalanche breakdown condition have been used to calculate the breakdown voltage of a double-gate MOSFET for the shape of the Gaussian doping distribution. This analytical potential model is in good agreement with the numerical model. Using this model, the breakdown voltage has been analyzed for channel length and doping concentration with parameters such as projected range and standard projected deviation of Gaussian function. As a result, since the breakdown voltage is greatly changed for the shape of the Gaussian function, the channel doping distribution of a double-gate MOSFET has to be carefully designed.

• Ocean Systems Engineering
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• 제6권4호
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• pp.305-324
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• 2016

Wave load prediction at zero forward speed using finite depth Green function is a well-established method regularly used in the offshore and marine industry. The forward speed approximation in deep water condition, although with limitations, is also found to be quite useful for engineering applications. However, analysis of vessels with forward speed in finite water depth still requires efficient computing methods. In this paper, a method for analysis of wave induced forces and corresponding motion on freely floating three-dimensional bodies with low to moderate forward speed is presented. A finite depth Green function is developed and incorporated in a 3D frequency domain potential flow based tool to allow consideration of finite (or shallow) water depth conditions. First order forces and moments and mean second order forces and moments in six degree of freedom are obtained. The effect of hull flare angle in predicting added resistance is incorporated. This implementation provides the unique capability of predicting added resistance in finite water depth with flare angle effect using a Green function approach. The results are validated using a half immersed sphere and S-175 ship. Finally, the effect of finite depth on a tanker with forward speed is presented.