• Title/Summary/Keyword: 근사적 원리

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자유곡선을 포함한 다중형상에서의 Exit Burr 판별 프로그램 개발

  • Lee Jang-Beom;Kim Young-Jin
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2003.05a
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    • pp.469-473
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    • 2003
  • Milling 가공시 공구와 피삭재의 접합명에서는 절삭가공의 잔유물인 burr가 생성되고, 이러한 Burr는 작업효율과 정밀도를 감소시키며 추처리과정 (Deburring)을 야기시키는 원인이 된다. 그러므로 정밀도와 작업효율을 극대화하기 위해서는 이러한 Burr의 생성원리를 파악함과 동시에 Exit Burr의 여부에 대한 판별을 하여 최적의 가공조건을 맞추어 주어야 하는데, 이러한 경우에 지금까지는 점, 선 및 원으로 피삭재의 형상을 재현하여 공구의 경로와의 Exit 각을 통해 결과를 예측하는 연구를 해왔었다. 본 논문에서 추구하고자 하는 핵심은 이러한 피삭재의 형상을 재현하기 위해 지금까지 사용해왔던 요소를 보다 다양화시키는 방안을 제시하여 프로그램의 적용 범위를 넓히려는 것이다. 예컨대 이제까지 실제 가공에서 사용되고 있는 임의형상에 대한 표현 방식 중에서 대다수 CAD 프로그램에서 곡선 및 곡면을 표현하는 경우, B-Spline Curve의 알고리즘은 패삭재의 불규칙적인 곡면을 가장 근사하게 표현하는 최적의 해결책으로 쓰여지고 있다. 그러므로 이러한 알고리즘을 통해 프로그램의 적용예를 넓히는 것은 보다 다양한 조건에서의 Burr생성에 대한 예측을 가능케 해주는 것이다. 본 논문에서는 앞에서 언급한 바와 같이 B-Spline Curve 알고리즘을 개발하고, 프로그램에 적용하는 일련의 과정을 통해 보다 다양한 형상의 피삭재에서 단일 혹은 복합경로의 공구가 지나갈 경우에 생길 수 있는 Burr를 얼마나 효율적으로 판별할 수 있는지를 소개하고자 한다.

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간단한 양자계와 빛의 상호작용

  • Kim, Jun-Hyeong;Jang, Bo-Yeong;Sin, Seok-Min
    • Proceeding of EDISON Challenge
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    • 2017.03a
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    • pp.132-144
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    • 2017
  • 현재, 빛을 이용한 화학 연구가 활발히 진행되고 있고 이러한 연구는 양자역학을 기반으로 화학에서 상당히 중요한 부분을 차지하고 있다. 또한 컴퓨터의 발전에 따라 여러 계산 모델들이 개발되고 있다. 본 논문에서는 회전파 근사(Rotating Wave Approximation, RWA)를 통해 라비 진동을 이론적으로 확인하고, 가장 간단한 연속파 레이저와 두 에너지 준위에서 시작하여 레이저 펄스와 두 에너지 준위, 레이저 펄스와 이원자분자인 $Na_2$ 분자의 두 전자에너지 퍼텐셜 준위, 그리고 실제 시간 밀도 범함수 이론(Real-Time Time Dependent Density Functional Theory, RT-TDDFT)이란 제일원리계산을 통해 연속파 레이저와 $H_2$ 분자와 $C_2H_4$ 분자에서까지 관찰하였다. 이 연구를 통해 공명 전이의 경우 펄스의 면적이 ${\pi}$의 홀수 배일 때 완전한 입자수 전이가 일어나는 펄스 면적 정리를 확인할 수 있었고, 이원자분자인 $Na_2$의 경우엔 펄스의 지속시간도 입자수 전이에 영향을 미친다는 것을 확인하였다. 더 나아가 $H_2$ 분자와 $C_2H_4$ 분자에서는 RT-TDDFT 계산을 통해 라비 진동을 확인할 수 있었고, 두 종류의 기저함수간의 대조를 통해 기저함수 선택의 중요성을 알아보았고, 가장 중요하게는 레이저를 잘 조작하면 입자를 원하는 상태로 들뜨게 할 수 있다는 것이란 결론을 얻게 되었다.

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Curvature Linear Equation of a Two-Mirror System with a Finite Object Distance (유한 물체 거리를 갖는 2 반사경계의 곡률 선형 방정식)

  • Lee, Jung-Gee;Rim, Cheon-Seog
    • Korean Journal of Optics and Photonics
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    • v.16 no.5
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    • pp.423-427
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    • 2005
  • In this paper, we propose easily tooling method for Seidel third order aberration, which are not well utilized in actual design process due to the complication of mathematical operation and the difficulty of understanding Seidel third order aberration theory, even though most insightful and systematic means in pre-designing for the initial data of optimization. First, using paraxial ray tracing and Seidel third order aberration theory, spherical aberration coefficient is derived for a two-mirror system with a finite object distance. The coefficient, which is expressed as a higher-order nonlinear equation, consists of design parameters(object distance, two curvatures, and inter-mirror distance) and effective focal length(EFL). Then, the expressed analytical equation is solved by using a computer with numerical analysis method. From the obtained numerical solutions satisfying the nearly zero coefficient condition($<10^{-6}$), linear fitting process offers a linear relationship called the curvature linear equation between two mirrors. Consequently, this linear equation has two worthy meanings: the equation gives a possibility to obtain initial design data for optimization easily. And the equation shows linear relationship to a two-mirror system with a finite object distance under the condition of corrected third order spherical aberration.

Transient coupled thermoelastic analysis by finite element method (유한요소법에 의한 과도연성 열탄성 해석)

  • 이태원;심우진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1408-1416
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    • 1990
  • A powerful and efficient method for finding approximate solutions to initial-boundary-value problems in the transient coupled thermoelasticity is formulated in time domain using the finite element technique with time-marching strategy. The final system equations can be derived by the Guritin's variational principle using the definition of convolution integral. But, the finite element formulation for the equations of motion is modified by differentiating in time. Numerical results to some test problems are compared with analytical and other sophisticated approximate solutions. Stable responces are observed in all the given examples irrespective of incremental time steps and mesh shapes. In addition, it is shown that good numerical results are obtained even in coarser mesh or larger time step comparing to other numerical methods.

First-principles Study on the Magnetic Properties of Gd doped Bithmuth-Telluride (Gd 도핑된 비스무스 텔루라이드의 자기적 성질에 대한 제일원리 계산 연구)

  • Van Quang, Tran;Kim, Miyoung
    • Journal of the Korean Magnetics Society
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    • v.26 no.2
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    • pp.39-44
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    • 2016
  • Determination of the structural, electronic, and magnetic properties of the magnetically doped bismuth-telluride alloys are drawing lots of interest in the fields of the thermoelectric application as well as the research on magnetic interaction and topological insulator. In this study, we performed the first-principles electronic structure calculations within the density functional theory for the Gd doped bismuth-tellurides in order to study its magnetic properties and magnetic phase stability. All-electron FLAPW (full-potential linearized augmented plane-wave) method is employed and the exchange correlation potentials of electrons are treated within the generalized gradient approximation. In order to describe the localized f-electrons of Gd properly, the Hubbard +U term and the spin-orbit coupling of the valence electrons are included in the second variational way. The results show that while the Gd bulk prefers a ferromagnetic phase, the total energy differences between the ferromagnetic and the antiferromagnetic phases of the Gd doped bismuth-telluride alloys are about ~1meV/Gd, indicating that the stable magnetic phase may be changed sensitively depending on the structural change such as defects or strains.

Design of the DSP for the FM Sound Synthesis (FM 합성방식을 이용한 악기음 합성용 DSP 설계)

  • Kwon, Min-Do;Jang, Ho-Keun;Kim, Jae-Yong;Park, Ju-Sung;Kim, Hyung-Soon;Yun, Pyung-Woo;Baek, Kwang-Ryul;Im, Chang-Hun
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.5
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    • pp.63-73
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    • 1995
  • The conventional acoustic sounds can be synthesized by Frequency Modulation which includes the variation of frequency, amplitude, and modulation index. In this paper the number of variable synthesis parameters are limited to easily implement the existing two carrier FM algorithm by hardware. The DSP(Digital Signal Processor), which is able to carry out the modified algorithm and synthesize 16 sounds at a time, is designed with $0.8{\mu}m$ standard sells. The DSP which can synthesize 2 sounds at a time is implemented by ASIC emulator to examine the sound quality of the designed DSP. Through the objective and subjective estimation, it is confirmed that the sounds of many instruments from the implemented DSP are very closed to their real sound. Finally the designed DSP is layouted and simulated by VLSI desgn tool. According to the simulation, the designed DSP has the sufficiently fast speed for synthesizing 16 sounds at a time.

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Numerical Analysis Method of Overlay Model for Material Nonlinearity Considering Strain Hardening (변형률 경화를 고려한 오버레이 모델의 재료비선형 수치해석기법)

  • Baek, Ki Youl
    • Journal of Korean Society of Steel Construction
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    • v.19 no.3
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    • pp.291-301
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    • 2007
  • The overlay model is a certain kinds of numerical analysis method to present the material non-lineariy which is represented the baushinger effect and the strain hardening. This model simulates the complex behavior of material by controlling the properties of the layers which like the hardening ratio, the section area and the yield stress. In this paper, the constitutive equation and plastic flow rule of each layer which are laid in the plane stress field are obtained by using the thermodynamics. Two numerical examples were tested for the validity of proposed method in uniaxial stress and plane stress field with comparable experimental results. The only parameter for the test is the yield stress distribution of each layers.

Multi-functional (Temperature, Pressure, Humidity) Sensor by MEMS technology (MEMS 기술을 이용한 온도, 압력, 습도 복합 센서)

  • Kwon Sang-wook;Won Jong-Hwa
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.42 no.11
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    • pp.1-8
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    • 2005
  • In this paper, we present design and prototyping of a low-cost, integrated multi-functional micro health sensor chip that can be used or embedded in widely consumer devices, such as cell phone and PDA, for monitoring environmental condition including air pressure, temperature and humidity. This research's scope includes basic individual sensor study, architecture for integrating sensors on a chip, fabrication process compatibility and test/evaluation of prototype sensors. The results show that the integrated TPH sensor has good characteristics of ${\pm}\;1\%FS$ of linearity and hysteresis for pressure sensor and temperature sensor and of ${\pm}\;5\%FS$ of linearity and hysteresis But if we use 3rd order approximation for humidity sensor, full scale error becomes much smaller and this will be one of our future study.

First-principles Study on Magnetism and Electronic Structure of Fe Chain on Ag(001) (Ag(001) 표면 위에 놓인 Fe 선의 자성과 전자구조)

  • Jin, Y.J.;Lee, J.I.
    • Journal of the Korean Magnetics Society
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    • v.15 no.4
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    • pp.217-220
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    • 2005
  • The electronic structure and magnetism of Fe chain along the [110] direction on Ag(001) were investigated by using the all-electron full-potential linearized augmented plane wave (FLAPW) method within generalized gradient approximation (GGA). The magnetic moment of Fe atom in Fe chain is calculated to be $3.02\;{\mu}_B$, which is slightly larger than that ($2.99\;{\mu}_B$) of the Fe[110] chain on Cu(001). The reduced coordination number for the Fe chain induced the Fe-d band narrowing and exchange-splitting enhancement, which are responsible for the large magnetic moment of the Fe chain. The calculated band width of the Fe-d band and the exchange-splitting are 1.7 eV and 3.2 eV, respectively.

A Study on the Optimization of Steel Structures Considering Displacement Constraints (변위제약조건을 고려한 강구조물의 최적화에 관한 연구)

  • Kim, Ho Soo;Lee, Han Joo
    • Journal of Korean Society of Steel Construction
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    • v.10 no.4 s.37
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    • pp.657-666
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    • 1998
  • This study presents an effective dual algorithm for the optimal design of steel structures with displacement constraints. The dual method can replace a primary optimization problem with a sequence of approximate explicit subproblems with a simple algebraic structure. Since being convex and separable, each subproblem can be solved efficiently by the dual method. Specifically, this study uses the principle of virtual work to obtain the displacement constraint equations with an explicit form and adds the linear regression equation expressing the relationships between the cross-section properties to the dual algorithm to reduce the number of design variables. Furthermore, this study deals with the discrete optimization problem to select members with the standard steel sections. Through numerical analyses, the proposed method will be compared with the conventional optimality criteria method.

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