• Title/Summary/Keyword: 등가계

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Size Optimization of a Rod Using Frequency Response Functions of Substructures (부분 구조의 주파수 응답 함수를 이용한 봉의 치수 최적화)

  • Yoon, Hong Geun;Lee, Jin Woo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.10
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    • pp.905-913
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    • 2017
  • In this work, a method of size optimization is proposed to maximize the natural frequency of a rod that consists of a hidden shape in one part and an exposed shape in the other. The frequency response function of a rod composed of two parts is predicted by using the frequency response functions of each of the parts instead of the shapes of the parts. The mass and stiffness matrices of the rod are obtained by using the mass and stiffness matrices of the equivalent vibration systems, which are obtained by applying the experimental modal analysis method to the frequency response functions of the parts. Through several numerical examples, the frequency response function obtained by using the proposed method is compared with that of a rod to validate the prediction method based on equivalent vibration systems. A size optimization problem is formulated for maximizing the first natural frequency of a combined rod, which is replaced with an equivalent vibration system, and a rod structure is optimized by using an optimization algorithm.

A Study on the Dynamics of Train Using Equivalent System (등가계를 적용한 열차의 동적거동에 관한 연구)

  • 조동현;임진수
    • Journal of KSNVE
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    • v.10 no.1
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    • pp.117-122
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    • 2000
  • The dynamics of train has recently been analysed in many cases and very complex nonlinear creep theories have been developed by many engineers. But much calculation time is spent and latest complex creep theories cannot be adapted in train analysis. In this study efficient and fast train analysis method was suggested. Many of degree of freedom were reduced in multi-vehicle system using equivalent system and fast calculation time was achieved. And the accuracy of equivalent system method was proved by linear and nonlinear dynamic analysis.

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Diffraction grating interferometer of large equivalent wavelength for flatness testing of rough surfaces (거친 표면 형상측정을 위한 큰 등가파장 회절격자 간섭계)

  • 황태준;김승우
    • Korean Journal of Optics and Photonics
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    • v.15 no.1
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    • pp.56-62
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    • 2004
  • We present a diffraction grating interferometer of large equivalent wavelength specially designed for flatness testing of rough surfaces. Two transmission diffraction gratings are illuminated on the object under test by use of two measurement beams with different angles of incidence, which yields a large equivalent wavelength. This interferometer design minimizes unnecessary diffraction rays and the systematic error caused by the diffraction gratings, and provides a large working distance and easy alignment. To improve the measurement accuracy, phase shifting technique is applied and the equivalent wavelength error caused by defocus is calibrated. Test results obtained from mirror surfaces and machined rough surfaces are discussed.

Generalized lens group conversion to their equivalent lenses (렌즈군의 일반화된 등가렌즈 변환)

  • 이종웅;박성찬
    • Korean Journal of Optics and Photonics
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    • v.9 no.4
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    • pp.251-257
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    • 1998
  • The equivalent lens conversion is extended to lens group conversion, and the more generalized conversion method is developed. The new conversion method can be used for hte direct thick-to-thick lens conversion. By using the equivalent lens conversion, a thin lens system can be converted into various thick lens system which have different axial thicknesses, but those converted lens systems have identical paraxial property and similar aberration characteristic. For an example, the equivalent lens conversion technique is applied to modification of a thelephoto lens design. The axial thicknesses of the front group elements of the system are reduced to 75% of their original values. The modified design by using the equivalent lens conversion has same focal length with original, and it has smaller aberration changes than the other design of which axial thicknesses are changed only.

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Optical Design of Cemented Doublets by Using Equivalent Lens System (등가렌즈를 이용한 2매 접합렌즈계의 설계)

  • 전영세;김형수;이종웅;박성찬
    • Korean Journal of Optics and Photonics
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    • v.9 no.5
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    • pp.282-290
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    • 1998
  • The equivalent lens conversion technique is applied to design achromatic doublet and aplanatic doublet. A thin doublet which has zero axial thicknesses, are corrected for the third order aberrations at first, and the thin doublet is converted into thick lens system by using the equivalent lens conversion. Two types of cemented doublets, the Fraunhofer type and the Steinheil type, are designed by using a crown glass BaK-2 and a flint glass SF-2. In the thin doublet design, there are two achromatic solutions and a aplanatic solution for the both types.

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Application of discrete stochastic optimal control system for aircraft autopilot design (항공기의 자동조종장치설계에 대한 이산확률최적설계의 적용)

  • 이상기
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.537-540
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    • 1987
  • 항공기가 평형상태로 비행하는 도중 돌풍과 같은 외부교란을 만난 교란상태운동은 선형화된 미분방정식으로 표현되며 비교적 짧은 비행시간동안의 비행은 선형시 불변계가 된다. 돌풍은 Gauss-Markov확률과정으로 모델링 되며, 항공기가 돌풍을 만난 교란상태운동은 시스템론적으로 보면 백색잡음이 성형필터를 거쳐 계에 입력되는 것과 같다. 초기의 설계방법은 고전적인 주파수영역에서의 해석방법을 사용하였으나 1960년대에 최적제어이론이 도입되면서 평가함수를 사용하여 원하는 비행특성을 얻는 방법을 사용하게 되었다. 그 후 계에 입력되는 외란과 측정시의 잡음으로 인한 불확실한 측정량으로부터 최적상태변수의 추정을 위해 필터링이론을 도입한 확률제어이론을 적용하여 자동조종장치를 설계하게 되었다. 이때까지는 연속제어계로 설계되었으며 그 후 측정신호를 샘플링하여 연속제어계와 등가의 이산제어계를 사용한 자동조종장치가 등장하였으며 이 경우 설계기법으로는 연속제어계를 사용하고 실현시킬 때는 디지털컴퓨터를 사용하였다. 이는 제어하는 동안 계의 계수와 제어법칙을 바꾸어 줄 수 있는 이산제어계의 장점을 이용하지 못하므로 처음부터 계를 등가의 이산계로 보고 제어계를 설계하는 방법이 도입되었다. 이 때 샘플링간격의 결정과 Quantization 영향이 설계시 고려되어야 한다.

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Electromagnetic Finite Element Method of Current Sensor with Roll-Type Core (Roll타입 코어를 갖는 전류센서의 전자계 유한요소해석)

  • Lee, Dong-Hee;Kim, Jung-Su;Jeong, Jin-Chan;Kim, Byung-Teak
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.965-966
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    • 2011
  • 본 논문은 이방성 등가 재질정수를 도입하여 roll타입 코어로 적층되어진 전류센서의 전자계 유한요소해석(FEM)을 이용하여 해석하였다. 철심의 roll 구조에 따른 전자계 현상을 고려하기 위해 등가 이방성 투자율모델을 유도하였으며, 유도된 모델에 대해 유한요소해석(FEM)을 수행하였고, 공극에서의 자속밀도 등의 특성을 분석하였다.

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Comparison of Energy Demand in Multi-Story Buckling Restrained Braced Frame and Equivalent SDOF System (다층 비좌굴 가새골조와 등가 단자유도계의 에너지 요구량의 비교)

  • 김진구;원영섭
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.2
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    • pp.173-182
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    • 2003
  • In equivalent static nonlinear analysis and in energy-based design, the structures are generally transformed into an equivalent SDOF system. In this study the seismic energy demands in multi story structures, such as three-, eight-, and twenty-story steel moment-resisting frames(MRF), buckling restrained braced frames(BRBF) and a damage tolerant braced frame(DTBF), are compared with those of equivalent single degree of freedom(ESDOF) systems. Sixty earthquake ground motions recorded In different soil conditions, which are soft rock, soft soil, and neat fault, were used to compute the input and hysteretic energy demands in model structures. In case the modal mass coefficient is less than 0.8, the effects of higher modes are considered in the process of converting into ESDOF According to the analysis results, the hysteretic and input energies obtained from 3 story and 8 story MRF and DTBF agreed well with the results from analysis of equivalent SDOF systems. However in the 20 story BRBF the results from ESDOF underestimated those obtained from the original structures.

Generalization of equivalent lens conversion and third order aberration formulae of the generalized equivalent lens system (등가렌즈 변환의 일반화와 일반화된 등가렌즈의 3차수차식)

  • 이종웅;김건수
    • Korean Journal of Optics and Photonics
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    • v.7 no.4
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    • pp.305-313
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    • 1996
  • Lens design method by using equivalent lenses was already introduced, but the method has a limitaion that all lenses should be in the air. Therefore, we often get improper solution in designing cemented lenses. In this study, the lens conversion from thick lens to equivalent lens and its reversal was generalized without any preconditions, and the third order aberration fomulrae were derived for the generalized equivalent lens system. The generalized equivalent lens conversion were applied to typical cemented doublet and triplet, and they show that the third order aberrations of the generalized equivalent lenses have better agreements with their corresponding thick lenses than the previous conversion method.

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