• 제목/요약/키워드: zero-order solution

검색결과 182건 처리시간 0.029초

모든 3차 수차를 영으로 하고 Central Obscuration이 최소화된 극자외선 리소그라피용 5-반사광학계 (Five Mirror System with Minimal Central Obscuration and All Zero 3rd Order Aberrations Suitable for DUV Optical Lithography)

  • 이동희;이상수
    • 한국광학회지
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    • 제5권1호
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    • pp.1-8
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    • 1994
  • 축소배율(M=+1/5)을 갖는 극자외선(deep dultra-violet)리소그라피용 5-반사광학계를 설계하였다. 우선 모든 3차 수치를 영으로 하는 수치적인 해를 반사경이 구면인 경우에 대해서 구하였다. 이렇게 하여 구한 3차원적인 분포를 하는 해의 영역에서 잔류수차량과 MTF에 큰 영향을 주는 central obscuration이 될 수 있는 한 적은 해들을 선택하여 마지막 두 반사경을 비구면화 하였다. 이 중 최종적인 해로서 선택한 것은 central obscuration이 약 25%이고 광원을 ArF 엑시머 레이저(파장 0.193 ${\mu}m$)로 하는 nearly inchorent illumination(${\sigma}$=1)인 경우 NA가 0.45이며 분해능이 50% MTF 기준치와 초점심도 0.8 ${\mu}m$에 대해 약 650 cycles/mm 정도인 성능을 갖는 시스템이 되었다.

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Efficient Adsorption of Methylene Blue from Aqueous Solution by Sulfuric Acid Activated Watermelone Rind (Citrullus lanatus)

  • Lee, Seo-Yun;Choi, Hee-Jeong
    • 공업화학
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    • 제32권3호
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    • pp.348-356
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    • 2021
  • The lignocellulose-based dried watermelon rind (WR) was modified with sulfuric acid, namely SWR for enhancement of methylene blue (MB) adsorption from the aqueous solution. According to FT-IR analysis, after the modification of WR with sulfuric acid, the functional groups of R-SO3H, COOH and -OH groups was formated or enhanced on the surface of the WR. Moreover, the point of zero charge (pHpzc) was changed from 6.3 to 4.1 after modification, which widened the range for adsorbing of cationic dye MB. The adsorption process of MB onto the SWR was suitable for pseudo-2nd-order and Langmuir model and the maximum adsorption capacity of Langmuir was found to be 334.45 mg/g at pH 7. In adition, the adsorption process occurs through the electrostatic interaction, hydrogen bridge formation, electron donor-acceptor relationship, and 𝜋-𝜋 electron dispersing force between functional groups on the carbon surface with MB molecules. Depending on functional groups available on the SWR surface, the MB adsorption mechanism can occur in combination with various interactions.

정지 세장선의 파랑 중 선형 및 비선형 유체력 계산 : 무한 수심의 경우 (Computation of the Linear and Nonlinear Hydrodynamic Forces on Slender Ships with Zero Speed in Waves : Infinite-Depth Case)

  • 김용환
    • 대한조선학회논문집
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    • 제37권2호
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    • pp.1-13
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    • 2000
  • 본 논문에서는 무한수심의 해양에서 파랑 중의 세장선에 작용하는 선형 및 비선형 동유체력의 계산을 위해 unified 이론을 적용하고자 한다. 세장선은 전진속도를 가지지 않는 것으로 가정하였으며, 이러한 가정은 FPSO, shuttle tanker 등과 같은 선박에 적용된다. Unified 이론을 적용하기 위해 우선 스트립 이론의 결과를 필요로 하며, 이를 위해 NIIRID를 이용하였다. 선형이론을 적용하여 선박의 동유력체 계수 및 운동응답특성들을 살펴보았으며, 이들 결과를 이용하여 2차 비선형 동유체력을 구하였다. Unified 이론은 2차원 결과를 단순히 합한 스트립 이론에 3차원 수정항을 더하기 때문에, 선형이론의 경우 heave 및 pitch 운동에 대해 3차원 panel 프로그램들과 비슷한 정확도를 기대할 수 있다. 특히 본 연구에서는 이러한 선형이론을 2차 동유체력의 계산으로 확장하였으며, 이러한 확장이 합리적인 결과를 주고 있음을 확인할 수 있었다.

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Free vibration characteristics of three-phases functionally graded sandwich plates using novel nth-order shear deformation theory

  • Pham Van Vinh;Le Quang Huy;Abdelouahed Tounsi
    • Computers and Concrete
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    • 제33권1호
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    • pp.27-39
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    • 2024
  • In this study, the authors investigate the free vibration behavior of three-phases functionally graded sandwich plates using a novel nth-order shear deformation theory. These plates are composed of a homogeneous core and two face-sheet layers made of different functionally graded materials. This is the novel type of the sandwich structures that can be applied in many fields of mechanical engineering and industrial. The proposed theory only requires four unknown displacement functions, and the transverse displacement does not need to be separated into bending and shear parts, simplifying the theory. One noteworthy feature of the proposed theory is its ability to capture the parabolic distribution of transverse shear strains and stresses throughout the plate's thickness while ensuring zero values on the two free surfaces. By eliminating the need for shear correction factors, the theory further enhances computational efficiency. Equations of motion are established using Hamilton's principle and solved via Navier's solution. The accuracy and efficiency of the proposed theory are verified by comparing results with available solutions. The authors then use the proposed theory to investigate the free vibration characteristics of three-phases functionally graded sandwich plates, considering the effects of parameters such as aspect ratio, side-to-thickness ratio, skin-core-skin thicknesses, and power-law indexes. Through careful analysis of the free vibration behavior of three-phases functionally graded sandwich plates, the work highlighted the significant roles played by individual material ingredients in influencing their frequencies.

자기부상열차의 영구자석 부상계에 대한 연구 (A study on the permanent levitation system for Maglev train)

  • 문석준;윤동원;조흥제;박성환;김병현
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.82-87
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    • 2007
  • A Halbach array is a special arrangement of permanent magnets which augments the magnetic field on one side of the device while cancelling the field to near zero on the other side. The application of this Halbach array magnet to the electrodynamic suspension for Maglev train has been recently studied in order to increase the levitation capability. This paper is focused on analytical method of the magnetic levitation system using Halbach array magnet. The suitability of the proposed method is verified with comparing to a finite element method. From this study, it is confirmed that the proposed method provides a reasonable solution with a little analysis time to the finite element method and the magnetic levitation system using Halbach array magnet is stable dynamically.

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창고입지선정문제(倉庫立地選定問題)의 최적해법(最適解法)에 관한 연구(硏究) (A Study on the Optimal Warehouse Location Problem by Using the Branch & Bound Algorithm)

  • 이득우;이상용
    • 대한산업공학회지
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    • 제12권1호
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    • pp.73-80
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    • 1986
  • This paper deals with the problem of the optimal location of warehouses in the two stage distribution system, i.e., the distribution system where the product is transported from plants to customer areas via warehouses. The Problem is formulated with a zero-one mixed integer programming and an efficient branch and bound algorithm is then used to solve the problem. In order to obtain the solution of this problem, this paper shows the procedure of conversion of two stage distribution system into one stage distribution system. An improved method of solving the linear programming at the nodes and branching decision rule is also showed by this study.

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Thermoelastic solutions for annular disks with arbitrary variable thickness

  • Zenkour, Ashraf M.
    • Structural Engineering and Mechanics
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    • 제24권5호
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    • pp.515-528
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    • 2006
  • This article presents a unified analytical solution for the analysis of thermal deformations and stresses in elastic annular disks with arbitrary cross-sections of continuously variable thickness. The annular disk is assumed to be under steady heat flow conditions, in which the inner surface of the annular disk is at an initial temperature and the outer surface at zero temperature. The governing second-order differential equation is derived from the basic equations of the thermal annular disks and solved with the aid of some hypergeometric functions. Numerical results for thermal stresses and displacement are given for various annular disks. These disks include annular disks of thickness profiles in the form of general parabolic and exponential functions. Additional annular disks with nonlinearly variable thickness and uniform thickness are also included.

이족 보행로봇의 3차원 모의실험기 개발 (Development of 3-Dimensional Simulator for a Biped Robot)

  • 노경곤;김진걸;허욱열
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 D
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    • pp.2438-2440
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    • 2004
  • This study is concerned with development of 3-Dimensional simulator of a biped robot that has a prismatic balancing weight or a revolute balancing weight. The dynamic stability equation of a biped robot which have a prismatic balancing weight is conditional linear but a walking robot's stability equation with a revolute balancing weight is nonlinear. To get a stable gait of a biped robot, stabilization equations with ZMP (Zero Moment Point) are modeled as non-homogeneous second order differential equations for each balancing weight type. A trajectory of balancing weight can be directly calculated with the FDM (Finite Difference Method) solution of the linearized differential equation. In this paper, the 3-Dimensional graphic simulator is programmed to get and calculate the desired ZMP and the actual ZMP. Walking of 4 steps was simulated and verified. This balancing system will be applied to a biped humanoid robot, which consist Begs and upper body, at future work.

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Digital타원 필터의 Computer-Aided Design (Computer-Aided Design of Dgital Elliptic Filters)

  • 李鍾寅;金東龍
    • 대한전자공학회논문지
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    • 제24권1호
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    • pp.123-132
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    • 1987
  • In this paper, we studied on the design of elliptic digital filters using the bilinear z transformation method, and proposed a design procedure satisfying prescribed specifications. The magnitude characteristics of digital filters are compared with its of analog filiters by computer simulation. Finaly we considered the quantization effects of digital filters. In cascader realization of fixed-point digital filters under dynamic range constraints, the outpout noise for IIR digital filters depends on the pole-zero pairing and ordering of the second order sections. Therfore an optmization procedure to finding a good ordering and pairing is very desirable. Thus, we proposed a sub-optimization procedure for finding "near optimal" solution.

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Thermosensitive Chitosan as an Injectable Carrier for Local Drug Delivery

  • Bae Jin-Woo;Go Dong-Hyun;Park Ki-Dong;Lee Seung-Jin
    • Macromolecular Research
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    • 제14권4호
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    • pp.461-465
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    • 2006
  • Two types of injectable system using thermosensitive chitosan (chitosan-g-NIPAAm), hydrogel and microparticles (MPs)-embedded hydrogel were developed as drug carriers for controlled release and their pharmaceutical potentials were investigated. 5-Fluorouracil (5-FU)-loaded, biodegradable PLGA MPs were prepared by a double emulsion method and then simply mixed with an aqueous solution of thermosensitive chitosan at room temperature. All 5-FU release rates from the hydrogel matrix were faster than bovine serum albumin (BSA), possibly due to the difference in the molecular weight of the drugs. The 5-FU release profile from MPs-embedded hydrogel was shown to reduce the burst effect and exhibit nearly zero-order release behavior from the beginning of each initial stage. Thus, these MPs-embedded hydrogels, as well as thermosensitive chitosan hydrogel, have promising potential as an injectable drug carrier for pharmaceutical applications.