• Title/Summary/Keyword: 일차진동

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행렬의 고유치의 수치해법

  • 이두성
    • Journal of the KSME
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    • v.26 no.5
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    • pp.389-393
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    • 1986
  • 고유치는 여러 공학문제에서 중요하다. 예를들어 비행기의 안전성은 어떤 행렬(matrix)의 고유 치에 의해서 결정된다. 보의 고유진동수는 실제로 행렬의 고유치이다. 좌굴(buckling) 해석도 행렬의 고유치를 구하는 문제이다. 고유치는 여러 수학적인 문제의 해석에서도 자연히 발생한다. 상수계수 일계연립상미분방정식의 해는 그 계수행렬의 고유치로 구할 수 있다. 또한 행렬의 제곱의 수렬 $A,{\;}A^{2},{\;}A^{3},{\;}{\cdots}$의 거동은 A의 고유치로서 가장 쉽게 해석할 수 있다. 이러한 수렬은 연립일차방정식(비선형)의 반복해에서 발생한다. 따라서 이 강좌에서는 행렬의 고유치를 수치적으로 구하는 문제에 대하여 고찰 하고자 한다. 실 또는 보소수 .lambda.가 행렬 B의 고유치라 함은 영이 아닌 벡터 y가 존재하여 $By={\lambda}y$ 가 성립할 때이다. 여기서 벡터 y를 고유치 ${\lambda}$에 속하는 B의 고유벡터라 한다. 윗식은 또 $(B-{\lambda}I)y=0$의 형으로도 써 줄 수 있다. 행렬의 고유치를 수치적으로 구하는 방법에는 여러 가지 방법이 있으나 그 중에서 효과있는 Danilevskii 방법을 소개 하고자 한다. 이 Danilevskii 방법에 의하여 특 성다항식(Characteristic polynomial)을 얻을 수 있고 이 다항식의 근을 얻는 방법 중에 Bairstow 방법 (또는 Hitchcock 방법)이 있는데 이에 대하여 아울러 고찰하고자 한다.

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Influence of Xe gas mixing ratio on Paschen Breakdown characteristics in AC-PDP

  • 김성수;김진구;안정철;최명철;조태승;조대식;임재용;김태영;정민우
    • Proceedings of the Korean Vacuum Society Conference
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    • 1999.07a
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    • pp.230-230
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    • 1999
  • PDP 미세면방전에서 방전의 전기, 광학적 특성을 이해하기 위해서는 근본적으로 면방전에 대한 기초적인 이해와 연구가 뒤따라야 한다. 따라서 본 연구에서는 일차적으로 방전 전극구조에서 방전 전압변화에 가장 중요한 변수인 방전 유지 전극 간격에 대해서 구동 진동수, 유전체 두께, 전극폭, MgO 보호막 두께 등과 같은 다른 변수들은 고정시켜 놓고 방전기체종류(Ne,Xe, He)와 Xe 기체혼합 비율 (1%, 4%, 7%등)에 따라서 방전유지 전극간격(50, 100, 150, 200$mu extrm{m}$)을 변화시켜가며 실험을 수행했다. 방전 유지 전극의 간격(d)이 좁을수록 방전개시(Vf), 유지 전압(Vs)은 낮아지고 전극간격을 점차로 넓게 하면 방전개시, 유진 전압이 높아지게 되는 즉 전극 간격에 따라서 가스 압력(P)에 따른 파센 최저방전 개시전압과 최저방전 유지전압 특성곡선이 존재함을 알 수 있었다. 또한 단일종의 기체를 사용했을 때 보다는 혼합기체를 사용했을 때 Penning effect에 의해서 방전 전압이 상대적으로 낮아지는 경향을 관측 할 수 있었으며, Xe 기체 혼합 비율에 따른 방전전압 특성 또한 관측하였다.

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Weighted Averaged Flux Method for Computation of Shallow Water Equations (WAF 기법을 이용한 천수방정식 해석)

  • Kim, Woo-Gu;Jung, Kwan-Sue;Kim, Jae-Han
    • Journal of Korea Water Resources Association
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    • v.36 no.5
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    • pp.777-785
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    • 2003
  • A numerical model for the solution of two-dimensional free surface flow is developed on unstructured grid. By using fractional step method, the two-dimensional shallow water equations (SWE) are treated as two one-dimensional problems. Thus, it is possible to simulate computational hydraulic problems with higher computational efficiency. The one-dimensional problems are solved using upwind TVD version of second-order Weighted Averaged Flux (WAF) scheme with HLLC approximate Riemann solver. The numerical oscillations which are common with second-order numerical scheme are controlled by exploiting WAF flux limiter, Some idealized test problems are solved using this model and very accurate and stable solutions are obtained. It can be concluded as an efficient implement for the computation of SWE including dam break problems that concerning discontinuities, subcritical and supercritical flows and complex domain.

A Study on the Effect of Controllers in Small Signal Stability of Power Systems (전력계통의 미소신호안정도에 미치는 제어기의 영향에 관한 연구)

  • 권세혁;김덕영
    • Journal of Energy Engineering
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    • v.5 no.1
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    • pp.72-79
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    • 1996
  • The effect of controllers-Exciter, Power System Stabilizer, and Static Var Compensator-in one machine infinite bus system is investigated in this paper. The structure of generator state matrix with controllers is represented, while the Static Var Compensator is installed in generator terminal bus. Eigen-value analysis is performed and the effects of controllers to the dominant eigenvalue in one machine infinite bus system are represented by first order eigenvalue sensitivity coefficients while the operating conditions of the system are varied. Optimization of controller parameters using first order eigenvalue sensitivity coefficients is performed by the Simplex Method. It is proved that exciter control is the most efficient method to improve stability of the system and the effect of Static Var Compensator is small, in the case of one machine infinite bus system.

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Synthesis and Characterization of Molybdeum Complexes with Schiff-Bases(II), Dioxobis(N-aryl-3-methoxysalicyaldiminato) Molybdenum(VI) Complexes (몰리브덴의 시프-염기착물의 합성과 그 성질 (제2보). 다이옥소비스(질소-아릴-3-메톡시살리실알디미나토)몰리브데늄(VI) 착물)

  • O, Sang O;Gu, Bon Gwon
    • Journal of the Korean Chemical Society
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    • v.29 no.3
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    • pp.257-264
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    • 1985
  • Dioxobis(3-methoxysalicyaldehydato)molybdeum(VI) complex has been synthesized by reactions of 3-methoxysalicylaldehyde and ammonium paramolybdate in methanol solution. With appropriate primary amine, the resulting complex gave schiff-base complexes, MoO$_2$(CH$_3$O-sal-N-R)$_2$ in which C=O oxide ligands had been replaced by nitrogen. The properties and possible molecular structure of these complexes were discussed by elemental analysis, spectroscopic studies and electric conductivities measurements. It was found that the Mo(VI) complexes contain a cis-MoO$_2$ group since their infrared spectra two Mo=O band at about 900cm$^{-1}$ and the combining ratios for MoO$_2$-ligand are 1 : 2. Also, electronic spectra of molybdenyl complexes assigned to ligand-to-metal charge transfer transition. All of these complexes are yellow or orange, depolar compound and slightly soluble in alcohol, dichloromethane, chloroform and N,N-dimethylformamide.

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Theoretical Development of Compaction Density (다짐밀도의 이론적 전개)

  • Huh, Jung-Do;Kim, Han-Yong;Nam, Young-Kug
    • International Journal of Highway Engineering
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    • v.2 no.1
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    • pp.147-156
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    • 2000
  • Compaction is known to critically affect pavement performance. Due to its importance, a theoretical modelling of compacted density in the term of number of roller coverages is attempted by assuming compaction process essentially identical to pavement rutting. Excellent data fittings by the developed equation may prove the validation of assumptions made as well as justification of its use. According to the derived equation, a plot of density difference with respect to number of roller coverages in the logarithmic scale Produces a linear relationship. However, this linearity is turned out to be deviated by cooling effect, change of amplitude and frequency. Investigation of these three factors proposes a new generalized compaction density equation, which shows a promising future. By applying this general formula, the equations for the number of roller coverages required and the final compaction density obtained for a particular compaction project is derived first time in compaction research.

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Development of Improved String Model for Instruments with Anjok (안족이 있는 악기의 개선된 현의 모델 개발)

  • Cho, Sang-Jin;Chong, Ui-Pil
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.7
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    • pp.328-333
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    • 2007
  • In this paper, we describe characteristics of a movable bridge called the Anjok and propose an improved string model which has delay line controller in physical modeling of the Gayageum. Movable bridge, the Anjok determines the length of vibrating string and transmits the vibration of each string to the body of the Gayageum. We analyze the variations in frequency domain and implement the Anjok model as parametric form using the first-order polynomial fitting in logarithmic scale graph, because the length of string changes fundamental frequency. In order to implement the Anjok model, frequency fitting, tension fitting and frequency fitting using leaky integrator are used. The frequency fitting using leaky integrator has the best results among those. Proposed string model with the Anjok model can represent real tuning system of the real Gayageum and the proposed model could synthesize sounds which is similar to original sounds.

Effect of Outer Edge Flame on Flame Extinction in Counterflow Diffusion Flames (대향류 확산화염에서 에지화염이 화염소화에 미치는 영향)

  • Chung, Yong-Ho;Park, Dae-Geun;Park, Jeong;Yun, Jin-Han;Kwon, Oh-Boong;Keel, Sang-In
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.2
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    • pp.181-188
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    • 2012
  • The present study on nitrogen-diluted non-premixed counterflow flames with finite burner diameters experimentally investigates the important role of the outer edge flame in flame extinction. Flame stability diagrams mapping the flame extinction response of nitrogen-diluted non-premixed counterflow flames to varying global strain rates in terms of the burner diameter, burner gap, and velocity ratio are explored. There exists a critical nitrogen mole fraction beyond which the flame cannot be sustained, and also the curves of the critical nitrogen mole fraction versus the global strain rate have C-shapes in terms of burner diameter, burner gap, and velocity ratio. In flames with sufficiently high strain rates, the curves of the critical nitrogen mole fractions versus global strain rate collapse into one curve, and the flames can have the 1-D flame response of typical diffusion flames. Three flame extinction modes are identified: flame extinctions through the shrinkage of the outer edge flame with and without an oscillation of the outer edge flame prior to the extinction and flame extinction through a flame hole at the flame center. The measured flame surface temperature and a numerical evaluation of the fractional contribution of each term in the energy equation show that the radial conductive heat loss at the flame edge destabilizes the outer edge flame, and the conductive and convection heat addition to the outer edge from the trailing diffusion flame stabilizes the outer edge flame. The radial conductive heat loss at the flame edge is the dominant extinction mechanism acting through the shrinkage of the outer edge flame.

Inelastic Dynamic Analysis of Structure Subjected to Across-Wind Load (풍직각방향 풍하중이 작용하는 구조물의 비탄성 동적 해석)

  • Ju-Won Kim
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.36 no.3
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    • pp.185-192
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    • 2023
  • In this study, fluctuating wind velocity for time history analysis is simulated by a single variate, single-dimensional random process using the KBC2022 spectrum about across-wind direction. This study analyzed and obtained the inelastic dynamic response for structures modeled as a single-degree-of-freedom system. It is assumed that the wind response is excellent in the primary mode, the change in vibration owing to plasticization is minor, along-wind vibration and across-wind vibration are independent, and the effect of torsional vibration is small. The numerical results, obtained by the Newmark-𝛽 method, shows the time-history responses and trends of maximum displacements. As a result of analyzing the inelastic dynamic response of the structure with the second stiffness ratio(𝛼) and yield displacement ratio (𝛽) as variables, it is identified that as the yield displacement ratio (𝛽) increases when the second stiffness ratio is constant, the maximum displacement ratio decreases, then reaches a minimum value, and then increases. When the stiffness ratio is greater than 0.5, there is a yield point ratio at which the maximum displacement ratio is less than 1, indicating that the maximum deformation is reduced compared to the elastically designed building even if the inelastic behavior is permitted in the inelastic wind design.

Geotechnical Hybrid Simulation System for the Quantitative Prediction of the Residual Deformation in the Liquefiable Sand During and After Earthquake Motion (액상화 가능 지반의 진동 도중 및 후의 잔류 변형에 대한 정량적 예측을 위한 하이브리드 시뮬레이션 시스템)

  • Kwon, Young Cheul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1C
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    • pp.43-52
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    • 2006
  • Despite several constitutive models have been proposed and applied, it is still difficult to choose a suitable model and to estimate adequate analysis parameters. Furthermore, a cyclic shear behavior under the volume change caused by the seepage is more complex. None of the constitutive model is available at present in the expression of the cyclic behavior of soil under an additional volume change condition by seepage. Therefore, a new geotechnical hybrid simulation system which can control the pore water immigration was developed. The system enables a quantitative evaluation of the residual deformation such as lateral spreading and settlement caused by the liquefaction. The seismic responses in a one-dimensional slightly inclined multilayered soil system are taken into consideration, and the soils are governed by both equation of motion and the continuity equation. Furthermore, the estimation and the selection of the soil parameter for the representation of the strong nonlinearity of the material are not required, because soil behaviors under the earthquake motions are directly introduced instead of a numerical soil constitutive model. This paper presents the concept and specifications of the system. By applying the system to an example problem, the permeability effect on the seismic response during cyclic shear is studied. The importance of the volume change characteristics of sandy soil during and after cyclic shear is shown in conclusion.