• Title/Summary/Keyword: fundamental solution.

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DYNAMIC BIFURCATION OF THE PERIODIC SWIFT-HOHENBERG EQUATION

  • Han, Jong-Min;Yari, Masoud
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.5
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    • pp.923-937
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    • 2012
  • In this paper we study the dynamic bifurcation of the Swift-Hohenberg equation on a periodic cell ${\Omega}=[-L,L]$. It is shown that the equations bifurcates from the trivial solution to an attractor $\mathcal{A}_{\lambda}$ when th control parameter ${\lambda}$ crosses the critical value. In the odd periodic case $\mathcal{A}_{\lambda}$ is homeomorphic to $S^1$ and consists of eight singular points and thei connecting orbits. In the periodic case, $\mathcal{A}_{\lambda}$ is homeomorphic to $S^1$, an contains a torus and two circles which consist of singular points.

A Study on the Treatment of Open Boundary in the Two-Dimensional Free-Surface Wave Problems

  • Kim, Yong-Hwan
    • Selected Papers of The Society of Naval Architects of Korea
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    • v.2 no.1
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    • pp.63-78
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    • 1994
  • This paper deals with the treatment of the open boundary in two-dimensional free-surface wave problems. Two numerical schemes are investigated for the implementation of the open boundary condition. One is to add the artificial damping term to the dynamic free-surface boundary condition, in which the determination of suitable damping coefficient and the damping zone is the most important. The other is a modified Orlanski's method, which is known to be very useful for the uni-directional waves. Using these two schemes, numerical tests have been conducted for a few typical free-surface wave problems. To obtain the numerical solution of the free-surface boundary value problem, the fundamental source-distribution method is used and the fully nonlinear free-surface boundary conditions are applied. The computed results are presented in comparison with those of others for the proof of practicality of these two schemes.

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Diffusion Coefficients of Polyimide/N-Methyl-2-Pyrrolidone Systems below Glass Transition Temperature (유리전이온도이하에서의 Polyimide/N-Methyl-2-Pyrrolidone계의 확산계수)

  • 박광승;김덕준
    • Polymer(Korea)
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    • v.24 no.2
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    • pp.194-200
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    • 2000
  • The diffusion coefficients in polyimide/N-methyl-2-pyrrolidone (NMP) systems were proposed using tile Vrentas-Duda's hole free volume theory. Several free volume parameters included in the diffusion coefficients were obtained from the fundamental physical properties of polyimide and NMP and group contribution theory, and the pre-exponential diffusion coefficient, D$_{0}$ was also determined from the dynamic swelling behavior of polyimide in NMP solution. The experimental swelling behavior of polyimide films in NMP was well described by the theoretical one using the proposed diffusion coefficient.t.

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CONFIGYRATION OF A ROBUST MODEL FOLLOWING SYSTEM WITH AN ADAPTIVE IDENTFIER

  • Saito, Tomoaki;Kimura, Mitsuyoshi;Kikuta, Akira;Kamiya, Yuji
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.548-552
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    • 1994
  • The robust compensation controller, which has been proposed by one of the authors and is based on the fundamental principle of making the plant follow the reference model, consists of the reference model and the robust compensator. The reference model is constructed by using the nominal model of the plant and determines the input-output properties of the resultant system. The robust compensator is obtained as a solution of the mixed sensitivity problem in H infinity control theory. Therefore the resultant system is of low sensitivity and robust stability. In the case where uncertainty does not occur in the plant, the plant follows perfectly the reference model. Therefore, in the case where uncertainty occurs in the plant, we propose the system configuration which improves the following accuracy without replacing the 개bust compensator but by identifying, the plant and reconstructing the reference model.

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Modified Wilkinson Power Divider for nth Harmonic Suppression (고조파 제거 기능을 갖는 윌킨슨 전력분배기의 설계)

  • Kim, Jong-Sung
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.1
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    • pp.46-50
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    • 2013
  • A modified design that can reject the nth harmonic components in the Wilkinson power divider is presented. After adding transmission lines of electrical lengths determined by suppression terms between two transformers of the traditional design, a solution of the modified Wilkinson divider can be found. Experimental results show the second and third harmonic suppression to be -45.3 dB and -46.4 dB, respectively, while maintaining the conventional performance at the fundamental frequency.

An Experimental Study on the Engineering Property of Concrete With Replacement Ratio of Crushed Sand (부순모래 대체율에 따른 콘크리트의 공학적 특성에 관한 실험적 연구)

  • Park Jong Ho;Lee Eui Bae;Choi Se Jin;Lee Seong Yeun;Kim Gyu Yong;Kim Moo Han
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.11a
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    • pp.451-454
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    • 2005
  • Recently, Trouble of sand supply is occurred according to exhaustion of natural sand resources. therefore, various measures are proposed for solution of trouble of sand supply and crushed sand among measures is used as one of most universal measures. but because crushed sand have poor particle shape and plenty of makes micro particle, the quality of concrete using crushed sand deteriorated. Therefore, this study evaluated engineering property of concrete with replacement ratio of crushed sand and applied evaluation result to fundamental data for quality control of concrete using crushed sand. The result of this study have shown that quality of concrete using crushed sand independently is poor against general concrete. but, the concrete mixing crushed sand with general sand can be similar in workability of concrete used general sand and increase compressive strength of concrete as against concrete using general sand.

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An Experimental Study on the Engineering Properties and B.P Test of Ready Mixed Concrete Using EEZ Sand and Crush Sand (부순모래와 EEZ모래를 혼합사용한 레미콘의 B.P실험 및 공학적 특성에 관한 연구)

  • Shin, Seung-Bong;Kim, Young-Sun;Kim, Young-Duck;Lee, Sung-Yon;Kim, Gyu-Yong;Kim, Moo-Han
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.05b
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    • pp.105-108
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    • 2006
  • Recently, trouble of sand supplying is occurred according to exhaustion of natural sand resources. Therefore various measures are proposed for solution of trouble of sand supply and crushed sand among measures is used as one of most universal measures. But because crushed sand have poor particle shape and plenty of mikes micro particle, the quality of concrete using crushed sand deteriorated. Therefore, this study evaluated engineering property of concrete with replacement ratio of crushed sand and EEZ sand applied evaluation result to fundamental data for quality control of concrete using crushed sand and EEZ sand and The result of this study have shown that quality of concrete using crushed sand and EEZ sand and The compressive strengh of concrete up to 50, 70% EEZ sand replacement by crush sand, nearly equal to that of general sand.

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Esthetic treatment of Dentinogenesis imperfecta (상아질형성부전증을 가진 환자의 심미적인 수복치료)

  • Jin, Myeong-Uk
    • The Journal of the Korean dental association
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    • v.46 no.7
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    • pp.440-445
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    • 2008
  • Dentinogenesis imperfecta is one of the most common autosomal dominant traits experienced in humans. It generally affects both the deciduous and permanent dentitions. There are 3 forms of dentinogenesis imperfecta that have been classified into type I(osteogenesis imperfecta associated), type II(hereditary opalescent dentin), and type III(Brandywine isolate opalescent dentin).1,2 The prevalence for all types of dentinogenesis imperfecta is approximately 1 per 8000 subjects. Early diagnosis and treatment are therefore, fundamental, aiming at obtaining a favourable prognosis since late intervention makes treatment more complex. This clinical report describes a treatment solution to the problems encountered by a dentinogenesis imperfecta patient with minimally invasive techniques.

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Development of Performance Simulation Models for MGT (마이크로 가스터빈(MGT) 성능 시뮬레이션 모델 개발)

  • Hur, Kwang-Beom;Park, Jung-Keuk;Rhim, Sang-Kyu;Kim, Jae-Hoon
    • The KSFM Journal of Fluid Machinery
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    • v.11 no.4
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    • pp.52-62
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    • 2008
  • All forecasts of a future energy demand anticipate an increase across the globe. With the increase of energy demand, the emission of $CO_2$ is also likely to increase by at least the same amount because energy supply will be based on fossil fuels, which is more apparent in a number of developing countries. In this context, the Micro Gas Turbine (MGT) is being considered as a promising solution. In order to propose a feasible concept of those technologies such as improving environmental effect and economics, we performed a sensitivity study for a biomass fueled MGT using a simulation model. The study consists of 1) the fundamental modeling using manufacturer's technical specifications, 2) the correction with the experimental data, and 3) the sensitivity study for system parameters. The simulation model was developed by PEPSE-GT 72, commercial steam/gas turbine simulation toolbox.

An On-Line Harmonic Elimination Pulse Width Modulation Scheme for Voltage Source Inverter

  • Salam, Zainal
    • Journal of Power Electronics
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    • v.10 no.1
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    • pp.43-50
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    • 2010
  • This paper proposes a new harmonic elimination PWM (HEPWM) scheme for voltage source inverters (VSI) based on the curve fittings of certain polynomials functions. The resulting equations to calculate the switching angle of the HEPWM require only the addition and multiplication processes; therefore any number of harmonics to be eliminated and the fundamental amplitude of the pole switching waveform (NP1) can be controlled on-line. An extensive angle error analysis is carried out to determine the accuracy of the algorithm in comparison to the exact solution. To verify the workability of the technique, an experimental single phase VSI is constructed. The algorithm is implemented on a VSI using a 16-bit microprocessor. The results obtained from the test rig are compared to the theoretical prediction and the results of the MATLAB simulations.