• 제목/요약/키워드: simultaneous equations

검색결과 295건 처리시간 0.027초

Analytical Evaluation of the Surface Integral in the Singularity Methods

  • Suh, Jung-Chun
    • Selected Papers of The Society of Naval Architects of Korea
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    • 제2권1호
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    • pp.1-17
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    • 1994
  • For a planar curve-sided panel with constant or linear density distributions of source or doublet in the singularity methods, Cantaloube and Rehbach show that the surface integral can be transformed into contour integral by using Stokes'formulas. As an extension of their formulations, this paper deals with a planar polygonal panel for which we derive the closed-forms of the potentials and the velocities induced by the singularity distributions. Test calculations show that the analytical evaluation of the closed-forms is superior to numerical integration (suggested by Cantaloube and Rehbach) of the contour integral. The compact and explicit expressions may produce accurate values of matrix elements of simultaneous linear equations in the singularity methods with much reduced computer time.

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세 개의 마이크로스트립 전송선로간의 크로스톡 (Crosstalk among three microstrip transmission lines)

  • 최재연;이상설
    • 전자공학회논문지D
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    • 제34D권5호
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    • pp.14-21
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    • 1997
  • The crosstalk among three identical uniform coupled microstrip transmissiom lines is examined. To analyze the crosstalk, the simultaneous equations for the voltage and current waves on each transmission line are induced from the transmission line equation. The capacitance and the inductance of the line to solve the transmission line equation are calculated by the spectral domain analysis and the space domian analysis. There are three quasi-TEM modes is three microstrip transmission lines and the characteristics mode impedences in each mode are almost equal at a weak coupling state. The crosstalk among three identical microstrip transmission lines is calculated varying the frequency from 50MHz to 3GHz.

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Simultaneous Nitrification and Denitrification by Anaerobic-Aerobic Biological Packed Bed Process

  • Lee, Min-Gye;Ju, Chang-Sik;Lee, Byung-Hyun;Kim, Jung-Kyun;Tadashi Hano
    • Journal of Life Science
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    • 제9권2호
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    • pp.40-43
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    • 1999
  • In the wastewater treatment experiment by anaerobic-aerobic packed bed unit, it was found that the high and stable removal efficiency of nitrogen could be obtained. The extent of nitrogen removal gradually decreased with the rise of recycle ratio and DO concentration. On the other hand, the extent of phosphorus increased with the increase of DO concentration. COD showed high removal efficiency over the entire range tested. The simulation of T-N behavior was carried out satisfactorily by using the kinetic equations for biofilm and the reactor model which considered the packed bed as a plug flow reactor.

혐기-호기 활성슬러지법에 의한 유량변동이 있는 폐수의 N-P 동시 제거에 관한 연구(I) (Simultaneous N-P Removal of Wastewater with Flow Variation by Anaerobic-Aerobic Activated Sludge Process(I))

  • 이민규;서근학
    • 한국환경과학회지
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    • 제4권5호
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    • pp.509-516
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    • 1995
  • The treatment performances of anaerobic-aerobic activated sludge process were investigated under various operation conditions. The treatment system proposed in this study gave a relatively stable performance against hourly change of the flow rate and showed a satisfactory removal of nitrogen and phosphorus compounds under experimental conditions. The recycle ratio of mixed liquor from aerobic to anaerobic region and peak coefficient primarily controlled the extent of nitrogen removal. The recycle ratio had the optimum values which were determined by the microbial activities of nitrification and denitrification. The behavior of the treatment unit could be simulated by using the kinetic equations and reactor models which considered the treatment units as complete mixing tanks.

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혐기-호기 활성슬러지법에 의한 유량변동이 있는 폐수의 N-P 동시 제거에 관한 연구(I) (Simultaneous N-P Removal of Wastewater with Flow Variation by Anaerobic-Aerobic Activated Sludge Process(I))

  • 이민규;서근학
    • 한국환경과학회지
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    • 제4권5호
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    • pp.123-123
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    • 1995
  • The treatment performances of anaerobic-aerobic activated sludge process were investigated under various operation conditions. The treatment system proposed in this study gave a relatively stable performance against hourly change of the flow rate and showed a satisfactory removal of nitrogen and phosphorus compounds under experimental conditions. The recycle ratio of mixed liquor from aerobic to anaerobic region and peak coefficient primarily controlled the extent of nitrogen removal. The recycle ratio had the optimum values which were determined by the microbial activities of nitrification and denitrification. The behavior of the treatment unit could be simulated by using the kinetic equations and reactor models which considered the treatment units as complete mixing tanks.

대변형 탄소성 접촉문제에 관한 연구 (A Study on the Elastic-Plastic Contact Problem for Large Deformation)

  • 전병희;김동원
    • 대한기계학회논문집
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    • 제17권7호
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    • pp.1658-1667
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    • 1993
  • In this research, a numerical algorithm has been developed, which can be applied to the large deformation and large displacement contact problems between two deformable bodies. The contact conditions expressed in terms of the rate of angle change have been proposed considering the change in geometric shape and rate of contact force. A set of linear simultaneous equations is constructed by adding the geometric shape change and contact conditions to the original stiffness matrix. A new method to determine time increment has been proposed based on Euler method, in which the condition to prevent the contact bodies from penetrating and overrunning each other has been taken into consideration. Practical application to contact problem is extrusion in which bodies are sliding along the contact boundary.

UNIFYING A MULTITUDE OF COMMON FIXED POINT THEOREMS EMPLOYING AN IMPLICIT RELATION

  • Ali, Javid;Imdad, Mohammad
    • 대한수학회논문집
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    • 제24권1호
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    • pp.41-55
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    • 2009
  • A general common fixed point theorem for two pairs of weakly compatible mappings using an implicit function is proved without any continuity requirement which generalizes the result due to Popa [20, Theorem 3]. In process, several previously known results due to Fisher, Kannan, Jeong and Rhoades, Imdad and Ali, Imdad and Khan, Khan, Shahzad and others are derived as special cases. Some related results and illustrative examples are also discussed. As an application of our main result, we prove an existence theorem for the solution of simultaneous Hammerstein type integral equations.

기술함수를 이용한 비선형 결합부를 가진 구조물의 진동해석 (Vibration Analysis of Structure with Nonlinear Joint Using Describing Function)

  • 박해성;지태한;박영필
    • 대한기계학회논문집
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    • 제18권2호
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    • pp.372-379
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    • 1994
  • In this study, the describing function is adopted to represent nonlinearity in the system equations. The compliance can be obtained by solving nonlinear simultaneous algebraic quations for multi-degrees-of-freedom system with multinonlinearities. When the technique is applied, the nonlinearity of the system can be identified from the compliance which is obtained from the sinusoidal excitation of the system. By employing the describing function in the Building Block Analysis, we can extensively develop the BBA into investigation of the continuous systems with nonlinearities. The evaluated compliance can quantitatively show the effects of nonlinearity such as the transfer of the natural frequency, the variance of the compliance at the natural frequency, and the jump phenomena which occur during sweeping of the excitation frequency.

스텝 펄스파를 사용하는 캐스케이드 인버터에서 스위치의 간단한 도통각 계산법 (A Simple Method for Conducting Angle Calculation of Switch Devices in Cascaded Inverters Using Step Pulse Waves)

  • 김형창;김태진;강대욱;현동석
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2003년도 춘계전력전자학술대회 논문집(2)
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    • pp.588-592
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    • 2003
  • In recent years, the multilevel inverter synthesizing the output voltage with step pulse has been widely used as a solution for high power and high voltage applications. This paper proposes a simple method to obtain the conducting . angle. It is calculated by using voltage-second areas of the divided reference voltage according to the output voltage levels and these areas have influence on output step pulse waves. It is possible to reduce an amount of calculation because it is not required to solve the simultaneous equations by an iterative method. Also, the proposed method can get the conducting angle by means of on line.

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SIMULTANEOUS DETERMINATION OF OPTICAL CONSTANTS AND DEPTH-PROFILE OF SPUTTERED AMORPHOUS TiO$_2$ THIN FILMS

  • Rhee, Sung-Gyu;Lee, Soon-Il;Oh, Soo-Ghee
    • 한국표면공학회지
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    • 제29권6호
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    • pp.654-659
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    • 1996
  • Amorphous $TiO_2$ thin films were deposited on silicon substrates by the RF magnetron sputtering under various conditions, and studied by the spectroscopic ellipsometry (SE). To determine the optical constants as a function of photon energy and also to depth-profile the as-deposited $TiO_2$ thin films, we analyzed the ellipsometric spectra using the effective medium approximation and the dispersion equations. Especially, we improved the modeling accuracy by selectively using either the Sellmeier or the Forouhi and Bloomer dispersion equation in different energy regions.

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