• Title/Summary/Keyword: harmonic form

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SOME RESULTS OF p-BIHARMONIC MAPS INTO A NON-POSITIVELY CURVED MANIFOLD

  • HAN, YINGBO;ZHANG, WEI
    • Journal of the Korean Mathematical Society
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    • v.52 no.5
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    • pp.1097-1108
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    • 2015
  • In this paper, we investigate p-biharmonic maps u : (M, g) $\rightarrow$ (N, h) from a Riemannian manifold into a Riemannian manifold with non-positive sectional curvature. We obtain that if ${\int}_M|{\tau}(u)|^{{\alpha}+p}dv_g$ < ${\infty}$ and ${\int}_M|d(u)|^2dv_g$ < ${\infty}$, then u is harmonic, where ${\alpha}{\geq}0$ is a nonnegative constant and $p{\geq}2$. We also obtain that any weakly convex p-biharmonic hypersurfaces in space formN(c) with $c{\leq}0$ is minimal. These results give affirmative partial answer to Conjecture 2 (generalized Chen's conjecture for p-biharmonic submanifolds).

Stability of Explicit Symplectic Partitioned Runge-Kutta Methods

  • Koto, Toshiyuki;Song, Eunjee
    • Journal of information and communication convergence engineering
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    • v.12 no.1
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    • pp.39-45
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    • 2014
  • A numerical method for solving Hamiltonian equations is said to be symplectic if it preserves the symplectic structure associated with the equations. Various symplectic methods are widely used in many fields of science and technology. A symplectic method preserves an approximate Hamiltonian perturbed from the original Hamiltonian. It theoretically supports the effectiveness of symplectic methods for long-term integration. Although it is also related to long-term integration, numerical stability of symplectic methods have received little attention. In this paper, we consider explicit symplectic methods defined for Hamiltonian equations with Hamiltonians of the special form, and study their numerical stability using the harmonic oscillator as a test equation. We propose a new stability criterion and clarify the stability of some existing methods that are visually based on the criterion. We also derive a new method that is better than the existing methods with respect to a Courant-Friedrichs-Lewy condition for hyperbolic equations; this new method is tested through a numerical experiment with a nonlinear wave equation.

A study on energy regeneration of power supply for DC electric traction system (직류전철용 전력공급 장치의 에너지희생에 관한 연구)

  • Bang Hyo-Jin;Jang Su-jin;Song Sang-Hun;Won Chung-Yuen;Kim Yong-Ki;Ahn yu-Bok
    • Proceedings of the KIPE Conference
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    • 2004.07a
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    • pp.439-442
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    • 2004
  • This paper described a dc power system, which can generate the excessive do power form do bus line to ac source in substation for traction system. The proposed regeneration inverter system for dc traction can be used as both an inverter and an active power filter(APF). As a regeneration inverter mode, it can recycle regenerative energy caused by decelerating tractions and as an active power filter mode, it can compensate for harmonic distortion produced by the rectifier substation.

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Implementation of the Monitoring Program for the Analysis of Electric Consumption Characteristics in Home Appliances (가정용 전력소비형태 분석을 위한 모니터링 프로그램 구현)

  • Yoo, W.H.;Kwon, H.D.;Choi, J.H.;Ko, S.H.;Jeon, C.H.;Lee, S.R.
    • Proceedings of the KIPE Conference
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    • 2008.06a
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    • pp.547-549
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    • 2008
  • This paper presents a implementation of the monitoring program for the analysis of electric consumption characteristics in home appliances, which uses a Labview program from National Instruments Corporation. It is can provide to be easy for small-scale researcher, development groups or individual researcher to analyze electric power consumption characteristics. Also, this paper apply to actual private home and then, analyze result of monitoring and a database result of power quality etc, like the power consumption form, power factor and harmonic which follow season, and time zone. For this measured the apartment where the family which is four lives in the object.

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The Analysis and Simulation of Current Source Inverter-Induction Motor System Using Switching Function Representation (스위칭함수에 의한 전류형 인버어터 유도전동기 시스템의 해석 및 시뮬레이션)

  • 박민호;전태원;정승기
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.5
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    • pp.185-192
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    • 1986
  • This paper deals with the general mathmatical model of the CSI-fed induction motor system. The inverter is represented by a switching function matrix which is combined with the dg model of an induction motor. Complete system model is given by a set of differential equations in a closed form, which inherently includes the harmonic effects of the converter and the inverter. The model is valid in evaluating both the transient and steady state responses, while the more simple analytical model can be derived from the general model, in a steady state. With the model proposed, the digital simulation is carried out on a 10KVA CSI-induction motor system and the simulation results show good agreements with experimental ones.

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Analysis of faust cause & insulation degradation on the electrical equipments for railway (철도용 전기기기의 고장요인 및 절연열화 분석)

  • 왕종배;전한준;박옥정;온정근
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.07a
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    • pp.207-210
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    • 2001
  • Electrical equipment for railway is always experiencing wear and degradation by mechanical, electrical and environmental stress in service and the fault or the accident of high voltage main circuit directly causes operation interruption. Particularly propulsion drive of high speed switching inverter takes the form of specific degradation mechanism such as fast rising transient surge, reflective overvoltage and harmonic stress, and it is known that it threatens the long life and the reliability of electrical equipment. In this paper, statistics of fault and accident on main electrical equipment for railway are presented and also insulation degradation mechanism, which governs end life of electrical device, is analyzed. Finally the method of fault respondence and reliability improvement on the main electrical equipments will be reviewed in order to prevent operation interruption.

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Theoretical Study of 1,4,6,9-Tetra chlorinated dibenzo-$\rho$-dioxin anion

  • Mhin, Byung-Jin;Odde, Srinivas;Han, Kang-Hyun;Lee, Jung-Eun;Choi, Won-Yong
    • The Journal of Natural Sciences
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    • v.16 no.1
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    • pp.129-141
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    • 2005
  • The equilibrium geometry, adiabatic electron affinity, harmonic vibrational frequencies, and infrared intensities of 1,4,6,9-Tetra chlorinated dibenzo-$\rho$-dioxin anion have been studied using B3LYP method. The local minimum conformation is found to be twisted form with $D_2$ symmetry. The predicted adiabatic electron affinity is 0.54 eV. The predicted inversion barrier between twisted and planar conformers was 0.9 kcal/mol, thus we expect that experimentally observed structure seems to be planar. the characteristic IR band of 1,4,6,9-TCDD anion appears at 1510 $cm^4$, which is a benzene ring skeleton vibration mode related with CaCb and C2C3 bond. this characteristic band could be sued for identication of 1,4,6,9-TCDD anion.

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A Study on the Lighting Distribution on Road Space by Modeling Roadside Tree Types (가로수 유형별 모델링을 통한 가로공간 조도분포에 관한 연구)

  • Lee, Seok-Jun;Lee, Jong-Sung
    • Journal of Environmental Science International
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    • v.21 no.4
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    • pp.391-399
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    • 2012
  • This study proposes lighting simulation approach to assess lighting quality on motor ways and walk ways considering each type of form and growth of roadside trees. Simulation approach to assess quality of lighting is frequently used for lighting design which guarantees secure of drivers and pedestrians during the night time. But, road side trees which have diverse benefits for citizens acts on obstacles during night time needs lighting. The results of this study shows a possible way for tuning the aims of both lighting and road side tree. It will be possible to develop harmonic design standards for road way lighting if further study achieved based on the result of this study.

Flow Induced by the Uniform Motion of Top Plate over the Bottom Plate with Vertical Fin (수직 휜을 갖는 아래 평판 위에서 등속 운동을 하는 위 평판에 의한 유동)

  • Park, Jun-Sang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.7
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    • pp.877-884
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    • 2001
  • A theoretical analysis is conducted on the Stokes flow in a narrow channel. A vertical fin is mounted on the bottom plate and the flow is induced by uniformly sliding top plate. The governing harmonic equation was solved in the transformed ζ-plane, which is obtained by applying conformal mappings to the physical plane. By using well-known transformation technique, closed-form expressions for velocity and skin frictional stress on the top and bottom plates were obtained.

Measurement of Mode Shape By Using A Scanning Laser Doppler Vibrometer (스캐닝 레이저 도플러 진동계를 이용한 모드 해석)

  • Gang, Min-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.10 s.181
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    • pp.2560-2567
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    • 2000
  • When spatially dense velocity distribution is measured by a scanning laser Doppler vibrometer, the Fourier transform method provides the real and imaginary parts of the mode shapes in the form of a polynomial. However the Fourier transform method is often impractical because the independent decomposition property of cosine and sine components into real and imaginary parts, respectively, does not hold due to the leakage problem which commonly occurs in the Fourier transform of harmonic signals. To deal with this problem, a Hilbert transform method is newly proposed in this article. The proposed method is free from the leakage problem and relatively robust to the scanning error. A simulation example is provided to verify the effectiveness of this method.