• Title/Summary/Keyword: simultaneous equation

Search Result 233, Processing Time 0.02 seconds

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

  • Rhee, Sung-Gyu;Lee, Soon-Il;Oh, Soo-Ghee
    • Journal of the Korean institute of surface engineering
    • /
    • v.29 no.6
    • /
    • pp.654-659
    • /
    • 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.

  • PDF

Control Method for the Tool Path in Aspherical Surface Grinding and Polishing

  • Kim, Hyung-Tae;Yang, Hae-Jeong;Kim, Sung-Chul
    • International Journal of Precision Engineering and Manufacturing
    • /
    • v.7 no.4
    • /
    • pp.51-56
    • /
    • 2006
  • This paper proposes a control algorithm, which is verified experimentally, for aspherical surface grinding and polishing. The algorithm provides simultaneous control of the position and interpolation of an aspheric curve. The nonlinear formula for the tool position was derived from the aspheric equation and the shape of the tool. The function was partitioned at specific intervals and the control parameters were calculated at each control section. The position, acceleration, and velocity at each interval were updated during the process. A position error feedback was introduced using a rotary encoder. The feedback algorithm corrected the position error by increasing or decreasing the feed speed. In the experimental verification, a two-axis machine was controlled to track an aspherical surface using the proposed algorithm. The effects of the control and process parameters were monitored. The results demonstrated that the maximum tracking error with tuned parameters was at the submicron level for concave and convex surfaces.

n Analysis of Elastohydrodynamic lubrication in Line Contacts-the effect of temperature variation (유체 온도 변화를 고려한 선 접촉면사이의 탄성유체윤활 해석)

  • 서민호;임윤철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
    • /
    • 2001.11a
    • /
    • pp.364-373
    • /
    • 2001
  • This paper describes the variation of lubricant's temperature effects on elastohydrodynamic lubrication. The Newton-Raphson technique was used to solve the simultaneous system of Reynolds and elasticity equations. To show effects of lubricant's temperature, average temperature across the oil film was calculated using the energy equation. Pressure distribution, film shape, and temperature distribution were obtained for fully flooded conjunctions, and various dimensionless speed parameters while load and material parameters were held constant. Minimum film thickness were obtained for various material properties while load and velocity were held constant. It is drawn that the thermal effects have a strong influence on a minimum film thickness under high rolling velocity and slip ratio.

  • PDF

Generalization of the pressure profile analysis in a vacuum network (진공네트웍 압력분포 해석의 일반화)

  • 인상렬
    • Journal of the Korean Vacuum Society
    • /
    • v.8 no.1
    • /
    • pp.1-8
    • /
    • 1999
  • A boundary condition reflecting automatically, regardless of the direction of the gas flow, the pressure drop due to the entrance and exit effect occurred at a connection of two elements with different cross-sections in calculating the pressure profile of a vacuum network composed of many chambers and pipes which have different shape and vacuum properties was developed. The method of correcting the pressure drop in an element of varying cross-section like a cone was also introduced to keep the system free from directionality. The developed boundary conditions are applied as an example to a linear composed vacuum system to show how to make a set of simultaneous equations based on the particle balance equation and how to obtain its solution.

  • PDF

Simultaneous Consolidation of Titanium Diboride with Self-Propagating High-Temperature Synthesis, Direct Contact-Heating, and Pressure: Modeling of Temperature Distribution and the Relationship between Applied Energy and Densification ($TiB_2$ SHS 및 직접 접촉가열에 의한 동시 가압법 : 온도분포 모델링 및 공급에너지와 치밀화 관계)

  • Chung, G.K.;Cho, K.;Lee, H.B.
    • Journal of the Korean Ceramic Society
    • /
    • v.32 no.7
    • /
    • pp.817-824
    • /
    • 1995
  • TiB2 was simultaneously synthesized and densified with concurrent self-propagating high-temperature synthesis and direct contact-heating by electrcial power input and pressure. Density of TiB2 synthesized by self-propagating high-temperature synthesis and consolidated simultaneously by direct contact-heating and pressure was maximum 80% of the theoretical density (4.52g/㎤). Temperature profile was analyzed by solving heat balance equation with numerical method (FTCS method). The temperature of the sample was sufficiently raised to that temperature sufficient to be densified. It was ascertained that the density of the SHS synthesized TiB2 is exponentially proportinal to the input thermal energy per mass.

  • PDF

The Effect of Neglecting the Longitudinal Moment Terms on the Natural Frequency of Laminated Plates with Increasing Aspect Ratio (보강재 보강 형태에 따른 특별직교 이방성 적층복합판의 고유진동수에 대한 종방향 모멘트 무시효과)

  • 김덕현;김경진;이정호;박정호
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1998.10a
    • /
    • pp.109-116
    • /
    • 1998
  • The method of vibration analysis used is the one developed by the senior author. He developed and reported, in 1974, a simple but exact method of calculating the natural frequency of beam and tower structures with irregular cross-sections and attached mass/masses. Since 1989, this method has been extended to two-dimensional problems with several types of given conditions and has been reported at several international conferences. This method uses the deflection influence surfaces. The finite difference method is used for this purpose, in this paper. In order to reduce the pivotal points required, the three simultaneous partial differential equations of equilibrium with three dependent variables, w, M$_{x}$, and $M_{y}$, are used instead of the one forth order partial differential equation. By neglecting the M$_{x}$ terms, the size of the matrices needed to solve the resulting linear equations are reduced to two thirds of the "non-modified" equations.tions.

  • PDF

Development of Efficient Moving Memory Column Solver for Large Finite Element Analysis (대형 유한요소 해석을 위한 골조구조물의 최종강도해석에 관한 연구)

  • 이성우;이동근;송윤환
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1990.10a
    • /
    • pp.34-39
    • /
    • 1990
  • For the analysis of structures, specifically if it is large-scale, in which case it can not be solved within the core memory, the majority of computation time is consumed In the solution of simultaneous linear equation. In this study an efficient in- and out-of-core column solver for sparse symmetric matrix utilizing memory moving scheme is developed. Compare with existing blocking methods the algorithm is simple, therefore the coding and computational efficiencies are greatly enhanced. Upon available memory size, the solver automatically performs solution within the core or outside core. Analysis example shows that the proposed method efficiently solve the large structural problem on the small-memory microcomputer.

  • PDF

Actuator Fault Diagnostic Algorithm based on Hopfield Network

  • Park, Tae-Geon;Ryu, Ji-Su;Hur, Hak-Bom;Ahn, In-Mo;Lee, Kee-Sang
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.10 no.3
    • /
    • pp.211-217
    • /
    • 2000
  • A main contribution of this paper is the development of a Hopfield network-based algorithm for the fault diagnosis of the actuators in linear system with uncertainties. An unknown input decoupling approach is introduced to the design of an adaptive observer so that the observer is insensitive to uncertainties. As a result, the output observation error equation does not depend on the effect of uncertainties. Simultaneous energy minimization by the Hopfield network is used to minimize the least mean square of errors of errors of estimates of output variables. The Hopfield network provides an estimate of the gains of the actuators. When the system dynamics changes, identified gains go through a transient period and this period is used to detect faults. The proposed scheme is demonstrated through its application to a simulated second-order system.

  • PDF

Determination of Phase Converter Reactances for Monocyclic-start Induction Motor (모노사이클릭기동 유도전동기의 상변환기 리액턴스 결정)

  • Kim, Do-Jin;Jwa, Chong-Keun
    • The Transactions of the Korean Institute of Electrical Engineers P
    • /
    • v.57 no.1
    • /
    • pp.41-45
    • /
    • 2008
  • This paper describes a simple and straightforward method to determine phase converter reactances for the monocyclic start induction motor which have two different phase converters. In order to determine two reactances, two kinds of simultaneous equations with two unknown reactances at a specified speed are set up by the condition of balance operation. From these equation, these unknown reactances can be solved directly using the application software without any algebraic calculation. The applicability of this method is investigated by comparing with the known method by using the computed results at the starting and rated speed, and the results show good agreement each other. Using these results, the performance characteristics of this motor are computed and compared with three phase balance operation of induction motor.

A Study on the two phase sinusoidal voltage Controlled Oscillator with Low Distortion (저왜율을 갖는 2상정현파 전압제어 발진기에 관한 연구)

  • 이성백;이윤종
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.12 no.5
    • /
    • pp.527-534
    • /
    • 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.

  • PDF