• Title/Summary/Keyword: Resultant matrix

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Study on microstructure of sensitized Alloy 600 rapidly solidified by a $CO_2$ laser beam ($CO_2$ 레이저빔을 이용한 예민화된 Alloy 600의 급속응고 미세구조 연구)

  • 임연수;서정훈;국일현;김정수
    • Laser Solutions
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    • v.1 no.1
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    • pp.18-23
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    • 1998
  • A Study on microstructural changes of sensitized Alloy 600 which was rapidly solidified by a $CO_2$ laser beam was conducted using microscopic equipments such as SEM and TEM. Dissolution of Cr-rich carbides and resultant Cr recovery on the grain boundaries occurred in the heat affected zone (HZA). The microstructure of the laser melted zone (LMZ) having epitaxially solidified from the HAZ was mainly celluar-dendritic with the 〈100〉 crystallographic direction of growth. The Cr concentration was observed to increase along the cell bondaries, and tiny particles were distributed along the cell walls with tangled dislocations around them. Cr-rich carbides had been completely melted by the high density of a laser beam, and were not re-precipitated during the matrix solidification due to a fast cooling rate in the LMZ.

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Design rules of directional coupler optical switches in consideration of parasitic couplings in the input/output bending sections (Input/Output bending 영역에서의 parasitic coupling을 고려한 방향성 결합기 광 스위치의 설계 법칙)

  • 김동각;김창민
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.1
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    • pp.41-48
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    • 1997
  • Design rules of directional coupler optical switches are discussed in consideration of parasitic couplings in the bending section. The parasitic coupling phenomenon is analyzed based on the coupled-mode theory and the solutions are represented in the form of the transfer matrix. The modified switching conditions due to the parasitic coupling are derived and the resultant switching diagrams are illustrated. It is revealed that the parallel section's length needs to be adjustd less than the coupling length $l_c(=\pi/2\textsc{k}o)$ to obtain the desired crosstalk and that the adjustment depends on the strength of the parasitic coupling. However, it is discovered that, for weak parasitic coupling, the switching voltage does not need to be altered but may maintain the same value as if no parasitic coupling is taken into account.

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Delay-dependent Robust and Non-fragile Stabilization for Descriptor Systems with Parameter Uncertainties and Time-varying Delays (변수 불확실성과 시변 시간지연을 가지는 특이시스템의 지연 종속 강인 비약성 안정화)

  • Kim, Jong-Hae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.10
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    • pp.1854-1860
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    • 2008
  • In this paper, we deal with the problem of delay-dependent robust and non-fragile stabilization for descriptor systems with parameter uncertainties and time-varying delays on the basis of strict LMI(linear matrix inequality) technique. Also, the considering controller is composed of multiplicative uncertainty. The delay-dependent robust and non-fragile stability criterion without semi-definite condition and decomposition of system matrices is obtained. Based on the criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free and stable in spite of all admissible parameter uncertainties, time-varying delays, and controller fragility. Numerical examples are presented to demonstrate the effectiveness of the proposed method.

Exact solution for free vibration of curved beams with variable curvature and torsion

  • Zhu, Li-Li;Zhao, Ying-Hua;Wang, Guang-Xin
    • Structural Engineering and Mechanics
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    • v.47 no.3
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    • pp.345-359
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    • 2013
  • For the purpose of investigating the free vibration response of the spatial curved beams, the governing equations are derived in matrix formats, considering the variable curvature and torsion. The theory includes all the effects of rotary inertia, shear and axial deformations. Frobenius' scheme and the dynamic stiffness method are then applied to solve these equations. A computer program is coded in Mathematica according to the proposed method. As a special case, the dynamic stiffness and further the natural frequencies of a cylindrical helical spring under fixed-fixed boundary condition are carried out. Comparison of the present results with the FEM results using body elements in I-DEAS shows good accuracy in computation and validity of the model. Further, the present model is used for reciprocal spiral rods with different boundary conditions, and the comparison with FEM results shows that only a limited number of terms in the resultant provide a relatively accurate solution.

Direct Missile Bending Frequency Estimation using the Robust Kalman Filter (강인 칼만필터를 이용한 유도탄 기체 진동 주파수 추정기 설계)

  • Ra, Won-Sang;Whang, Ick-Ho
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2477-2479
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    • 2005
  • A robust bending frequency tracker is proposed to design the adaptive notch filter which removes the time-varying missile structural modes from the sensor measurements. To do this, the state-space form of a bending frequency model is derived under the assumption that the bending signal could be described as the lightly damped sinusoid. Since the resultant bending frequency model contains the parametric uncertainties in the measurement matrix, the design problem of bending frequency tracker is tackled by applying the robust Kalman filter to the model. This technique could be easily expanded to the multiple frequencies case because it newly illuminates the bending frequency tracking problem in view of general state estimation.

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Characteristics and Fabrication of GRIN glass by ion-stuffing method (Ion-stuffing방법에 의한 GRIN glass의 제조와 특성)

  • 진영훈;한덕희;이병철;류봉기
    • Journal of the Korean institute of surface engineering
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    • v.34 no.3
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    • pp.240-246
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    • 2001
  • The possibility of using a glass block with the composition of sodium borosilicate as starting materials for GRIN glass was examined from the view points of the phase separation of the matrix glass, the effects of leaching and the heating conditions for a porous structure, and the change in the refractive index. Glass specimens with similar compositions were prepared in the form of porous glass using a phase-separation technique. An examination of the heating and leaching conditions and the microstructure dependence of these conditions was made.; Specimens with porous structure were obtained when the heat treatment and leaching conditions were fixed at $540^{\circ}C$ for 30hrs and in a 0.3N$ H_2$$SO_4$ solution at $100^{\circ}C$, respectively. The resultant specimens had some important features on the GRIN glass.; the depth of the gradient and the change in refractive index (Δn) were 4mm and 0.015~0.02, respectively.

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Feasibility on Fillers for Bismate Glass System Used for Etching Process in Barrier-Ribs

  • Sung, Woo-Kyung;Jeon, Jae-Sam;Chong, Eu-Gene;Kim, Hyung-Sun
    • 한국정보디스플레이학회:학술대회논문집
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    • 2006.08a
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    • pp.938-941
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    • 2006
  • It is suggested that the bismate glass system is one of alternatives to the lead glass for barrier-ribs in PDP. Moreover it is necessary to investigate the resultant change in properties with addition of ceramic fillers. Glass frit was selected to be a $Bi_2O_3-ZnO-B_2O_3-Al_2O_3$ and two fillers, ZnO and $Al_2O_3$ were added into a glass matrix with the different content. We investigated thermal, chemical properties of bismate glass system with two different fillers. We confirmed that addition of fillers effects properties of composites such as the thermal expansion coefficient, etching mechanism.

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THE EFFECTS OF ALLOYING ELEMENTS AND COOLING RATES DURING SOLIDIFICATION ON THE MICROSTRUCTURE AND MECHANICAL PROPERTIES OF P-CONTAINED C/V GRAPHITE CAST IRONS

  • Kim, Myung-Ho;Park, Heung-Il;Kim, Woo-Yeol;Bae, Cha-Hurn
    • Journal of Korea Foundry Society
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    • v.15 no.6
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    • pp.546-557
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    • 1995
  • This study was undertaken to obtain an improved understanding of the effects of alloying elements on the residual amounts of Mg in the melt and on the resultant microstructure of compacted vermicular graphite cast irons, and the influence of alloying elements and cooling rates during solidification on the formation of phosphide eutectics, and on the mechanical properties of compacted vermicular graphite cast irons containing copper, tin, molybdenum for producing pearlitic matrix, and also containing phosphorus and boron for increasing wear resistance were evaluated.

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Stability conditions for Time-delayed LPV systems (시간 지연 선형 파라메타 변형 시스템의 안정화 조건에 관한 연구)

  • Jeong, Chang-Ki;Kang, Byung-Hoon;Ko, Jeong-Wan;Park, Poo-Gyeon
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.55-56
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    • 2007
  • In this paper, a delay-dependent stability criterion for time-delayed linear parameter varying (LPV) systems is considered. Stability criterion has been developed on the basis of including x(t-h) and x(t) and introducing free variables to eliminate model dynamics. Since the resultant criterion is formed parameterized linear matrix inequalities (PLMIs), we propose a relaxation technique that allows to find an LMI formulation. Examples demonstrate the efficiency of the criterion over the existing results.

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Delay-Dependent Robust Stabilization and Non-Fragile Control of Uncertain Discrete-Time Singular Systems with State and Input Time-Varying Delays (상태와 입력에 시변 시간지연을 가지는 불확실 이산시간 특이시스템의 지연종속 강인 안정화 및 비약성 제어)

  • Kim, Jong-Hae
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.2
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    • pp.121-127
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    • 2009
  • This paper deals with the design problem of robust stabilization and non-fragile controller for discrete-time singular systems with parameter uncertainties and time-varying delays in state and input by delay-dependent Linear Matrix Inequality (LMI) approach. A new delay-dependent bounded real lemma for singular systems with time-varying delays is derived. Robust stabilization and robust non-fragile state feedback control laws are proposed, which guarantees that the resultant closed-loop system is regular, causal and stable in spite of time-varying delays, parameter uncertainties, and controller gain variations. A numerical example is given to show the validity of the design method.