• Journal of Korean Society of Coastal and Ocean Engineers
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• v.6 no.4
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• pp.340-352
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• 1994

A numerical model of nonlinear stream function wave theory evolved from Dean's model (1965) is presented. The stream function theory has been evaluated to be an accurate and useful tool for engineering applications. Effects of damping coefficient employed in a linearized simultaneous equation and number of points in the numerical integration of model on numerical solutions are assessed. Most accurate wave characteristics calculated by the present model are tabulated using revised Dean's Table (Chaplin, 1980) input parameters. Since the well-known feature of nearly breaking waves that with increasing wave steepness the wave length as well as integral properties have a maximum prior to the limiting wave height is represented by the model, the accuracy of model can be proved.

• Journal of Energy Engineering
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• v.26 no.2
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• pp.64-72
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• 2017

The performance analysis of the 70 W class LED lighting system suitable for the Middle East environment was performed using the lumped parameter model. The LED light is composed of a heating substrate, a heat pipe, and a heat sink. We divided the LED lights into four objects and applied energy equilibrium to each of them to establish four lumped nonlinear differential equations. The solution of the simultaneous equations was obtained by the Runge-Kutta method. Convective heat transfer coefficients of the lumped model were obtained by multidimensional CFD analysis. As a result of comparison with experiment, it was found that the heating substrate had an error of $1.5^{\circ}C$ and the upper heat sink had an error of $1.8^{\circ}C$ and the relative error was about 0.6 %. Using this model, temperature distribution analysis was performed for normal operating conditions with an ambient temperature of $55^{\circ}C$, with sunlight only, with abnormal operating conditions with sunlight, and without an upper heat sink.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.6 no.4
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• pp.327-334
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• 1994

The manifold designates a pipe system discharging or absorbing water through multiple holes installed along the finite length of the pipe. The proper design of the manifold requires the pre-analysis of the hydraulic characteristics such as system head and flow rate. head loss and hole discharges, etc. On the contrary to the general pipe systems. the head loss along the pipe is hardly quantified in an explicit way since it is complicately varied by the size and arrangement of the holes. In the present study, both energy and continuity equations are employed to analyze the hydraulic characteristics, constituting nonlinear simultaneous equations which are solved by Newton method. In addition, a hydraulic experiment utilizing the manifold system equipped with an automatically controlled valve is performed to reproduce model tide. The result shows that the manifold system can be effectively used in a tidal basin where water flow should be maintained uniformly over the basin width.

• Composites Research
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• v.29 no.3
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• pp.91-97
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• 2016

In this paper, impulse-momentum theory was coupled to a constitutive equation both for implementing quasi-static and impact characteristics of EPP (Expanded polypropylene). Also, parameters which have physical meanings were expressed as functions of relative density. Simultaneous nonlinear Newton-Raphson method was applied to find the proper values for parameters in the constitutive equation along with quasi-static test data. Results from the impulse-momentum theory coupled constitutive equation showed good agreement with experimental data and the potential to be applied to different material type polymeric foam.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.12 no.5
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• pp.527-534
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• 1987

Two phase voltage controlled oscillation was realized by using the Electronic analog simulation of nonlinear simultaneous 2st order equation in terms of vibration and it's usefullness was sustined. Sinde it is complex and expensive to implement the circuits actually which composits and multiplicate the two phase signal squared respectively, this paper is obtained the simplificotion and switching circuit. The circuit introducced in this paper had propotionality of frequency to control input voltage, rapid response time, and little phase error, also this circuit operated with very low THD(Total Harmonic Distortion) and constant amplitude at higher than 10 :1 of frequency ratio.

• The Korean Journal of Applied Statistics
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• v.3 no.2
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• pp.91-105
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• 1990

Several practical prior distributions are derived using the maximum entropy principle. Also, an interactive method for estimating a prior distribution which uses the minimum cross-entropy principle is proposed when there are many prior informations. The consistency of the prior distributions obtained by the entropy principles is discussed.

• Journal of the Korean Institute of Telematics and Electronics
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• v.27 no.10
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• pp.124-129
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• 1990

This paper describes a new method to eliminate some selected harmonics (5,7,11) in PWM waveforms using Walsh and related orthogonal functions. Previous analyses of PWM waveforms are based on the nonlinear equations requiring iterative solution methods which are not practical in real-time systems. In addition, synthesis of low harmonics waveform at high power system is not easy to implement with power electronic hardware. The goal of this paper is to achieve the harmonics elimination in a PWM waveform by replacing the nonlinear equations in Fourier analysis with linear algebraic equations resulting from the use of orthogonal Walsh equation. This paper also describes how to synthesize low ordered harmonic waveforms with practical power electronic hardware. Walsh and Radmacher functions are easily manipulated by Harmuth's array generator, and those algorithms are accurate, computationally efficient and faster than algorithm based on Fourier analysis. In addition, this method is simulated to synthesize periodic PWM waveforms. From the experi-mental results, it is shown that single-phase PWM waveform are identified with the proposed method. And these methods are also extended to three-phase PWM waveforms in this paper.

• Communications of Mathematical Education
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• v.26 no.4
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• pp.351-362
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• 2012

Until the 1950s, linear algebra was considered only as one of abstract and advanced mathematics subject among in graduate mathematics courses, mainly dealing with module in algebra. Since the 1960s, it has been a main subject in undergraduate mathematics education because matrices has been used all over. In Korea, it was considered as a course only for mathematics major students until 1980s. However, now it is a subject for all undergraduate students including natural science, engineering, social science since 1990s. In this paper, we investigate the early history of linear algebra and its development from a historical perspective and mathematicians who made contributions. Secondly, we explain why linear algebra became so popular in college mathematics education in the late 20th century. Contributions of Chinese and H. Grassmann will be extensively examined with many newly discovered facts.

• Proceedings of the Korea Water Resources Association Conference
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• 2004.05b
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• pp.1366-1370
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• 2004

한강은 남한 제1의 하천으로 지리적으로 한반도의 중심부에 위치하여 동에서 서로 흐르는 대하천이다. 매년 발생하는 홍수에 대한 한강하류부의 홍수관리는 대단히 중요하다. 본 연구는 한강의 지천유입량이 한강본류 수위에 미치는 영향을 수리학적 홍수추적 모형을 이용하여 분석하였다. 수리학적 홍수추적 모형은 하천의 지형적 특성과 여러인자들을 반영하여 하천의 흐름을 해석하기 때문에 하천에 설치되어 있는 교량, 수중보, 지천유입량, 조도계수 등을 적절히 반영하였을 때 보다 정확한 결과를 얻을 수 있다. 본 연구에서는 1차원 부정류 흐름으로 해석하였으며 미국 NWS(National Weather Service)에서 기존의 DWOPER 모형과 댐파괴 모형인 DAMBRK 모형을 통합하여 개선한 FLDWAV 모형을 사용하였다. 이 모형의 지배방정식은 연속방정식과 운동량방정식으로 구성되어 확장된 Saint-Venant 방정식이고, 수치기법으로는 가중4점음해법을 이용하려 비선형 연립방정식을 Newton-Raphson 방법으로 해석한다. 모형의 상류경계는 팔당댐 시간 방류량을 하류경계로는 전류수위표 지점의 수위를 이용하였다. 한강하류부에는 많은 지천들이 흘러들어 유입되고 있는데 지천유입량이 한강수위에 미치는 영향을 분석하기 위하여 비교적 유역면적이 큰 왕숙천, 탄천, 중랑천, 안양천 등의 지천유입량을 고려하였다. 2000년과 2001년에 발생한 2개의 실측사상을 FLDWAV 모형을 이용하여 계산된 수위값과 검증해 본 결과 실측수위를 잘 재현하고 있는 것을 알 수 있었다. 검증된 모형을 가지고 동일한 사상에 대해서 지천 유입량을 고려하지 않고 모의를 한 결과 지천유입량을 고려하였을 때와 고려하지 않았을 때의 지천유입량에 대한 수위상승량은 $1\~5cm$ 정도로 나타났다. 지천유입량에 의한 수위상승이 어느정도 일어나고 있지만 홍수기간에 이 정도의 수위상승은 한강의 흐름이나 한강하류부에 설치된 구조물의 침수피해에 크게 영향을 주지않을 것으로 판단되었다. 한강하류부의 수위는 지천유입량의 영향보다는 팔당댐의 방류량에 의해서 좌우되고 있고 홍수시에는 한강의 수위상승으로 인하여 지천에 미치는 배수영향이 훨씬 더 클 것으로 판단된다.

• Proceedings of the Korean Society of Propulsion Engineers Conference
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• 2009.11a
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• pp.387-391
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• 2009

The experimental study on the ducted fan for the propulsion system of a small UAV has been performed. In this paper, to investigate the three-dimensional unsteady flow field characteristics of the ducted fan, it was measured by using a $45^{\circ}$ inclined hot-wire from hub to tip at inlet, behind the rotor and outlet of the ducted fan. The hot-wire signal data was acquired at fixed yaw angle. The data was averaged by using the PLEAT (Phase Locked Ensemble Averaging Technique), and then three of non-linear equations were solved simultaneously by using the Newton-Rhapson numerical method. Flow characteristics such as tip vortex, secondary flow and tip leakage flow were confirmed through axial, radial and tangential contour plot.