• Title/Summary/Keyword: J-적분

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PD+I Fuzzy Controller Using Error-Accumulating Applying Factor (오차적분 적용계수를 이용한 PD+I 퍼지제어기)

  • Chun, Kyung-Han;Lee, Yun-Jung;Park, Bong-Yeol
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.3
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    • pp.193-198
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    • 2002
  • In this paper, we Propose a PD+I fuzzy controller using an error-accumulating applying factor. In fuzzy control, analytical study was done formerly, in which fuzzy control can be classified by PD type and PI type, and also the study for getting merits of both types was done, too. But the mixed type has a complex structure and many parameters. The proposed fuzzy controller is 2-input 2-out-put and PD type fuzzy control is used as a basic structure. And the proposed controller annihilates a steady-state error and improves transient responses because of using the error-accumulating applying factor which is determined in the real time along the current state of controlled process. Futhermore it is easy to tune the system because of decreasing the number of scaling factors and the I type controller with resetting resolves the integral wind-up problem. Finally we apply the proposed scheme to various plants and show the performance betterment.

A Computational Method of Wave Resistance of Ships in Water of Finite Depth (유한수심에서의 조파저항계산에 관하여)

  • S.J. Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.66-72
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    • 1992
  • A computational method of the Michell integral for water of finite depth is developed and the method makes use of the expansion of the hull form by the Legendre polynomial in both the longitudinal and the vertical directions. The wave resistance coefficient is given as a quadruple summation of the product of the shape factor and the hydrodynamic factor. The shape factor depends only upon the geometry of the hull form, and the hydrodynamic factor upon the depth-based Froude number and the ratios of the water depth and the draft to the ship length. Example calculations are done for the Wigley parabolic hull and the Series 60 $C_B$ 0.6, and the comparison of our results with the existing experimental data is shown.

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Electromagnetic Strip Stabilization Control in a Continuous Galvanizing Line using Mixture of Gaussian Model Tuned Fractional PID Controller (비정수 차수를 갖는 비례적분미분제어법과 가우시안 혼합모델을 이용한 연속아연도금라인에서의 전자기 제진제어 기술)

  • Koo, Bae-Young;Won, Sang-Chul
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.8
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    • pp.718-722
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    • 2015
  • This paper proposes a fractional-order PID (Proportional-Integral-Derivative) control used electromagnetic strip stabilization controller in a continuous galvanizing line. Compared to a conventional PID controller, a fractional-order PID controller has integration-fractional-order and derivation-fractional-order as additional control parameters. Thanks to increased control parameters, more precise controller adjustment is available. In addition, accurate transfer function of a real system generally has a fractional-order form. Therefore, it is more adequate to use a fractional-order PID controller than a conventional PID controller for a real world system. Finite element models of a $1200{\times}2000{\times}0.8mm$ strip, which were extracted using a commercial software ANSYS were used as simulation plants, and Gaussian mixture models were used to find optimized control parameters that can reduce the strip vibrations to the lowest amplitude. Simulation results show that a fractional-order PID controller significantly reduces strip vibration and transient response time than a conventional PID controller.

Unified State Model(USM)을 이용한 정밀 궤도 계산

  • Song, Yong-Jun;Baek, Seul-Min;Kim, Gap-Seong
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.160.2-160.2
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    • 2012
  • Unified State Model(이후 USM)은 Altman(1972)에 의해 처음 제안된 이후 Chodas(1981), Raol & Sinha(1985), Vittaldev et al.(2012) 등을 거치며 연구 발전되어 왔다. 이 모델은 공간상 6개 성분의 위치, 속도 벡터를 이용해 위성의 운동을 기술하는 기존 계산 방법과 달리 4개의 Quaternion 변수를 도입하여 위성의 위치를, 3개의 Hodograph 변수를 도입하여 위성의 속도를 각각 기술한다. USM의 장점은 직교좌표계로 표현된 위성의 위치, 속도 변수에 비해 USM 변수의 변화량이 상대적으로 작기 때문에 수치 계산 시 계산의 안정도가 높다. 또한 원궤도(${\omega}$ : undefined)와 적도면 궤도(i = 0, ${\Omega}$ : undefined) 계산 시에 나타나는 특이성(singularity) 문제가 발생하지 않는다. 본 연구에서는 USM 계산방법과 기존 방법에 의한 위성궤도 계산결과의 차이를 비교 분석하였다. 지구궤도 위성의 정밀계산을 위해 이체항 이외에 지구타원체 섭동항과 대기 항력에 의한 섭동항을 추가 적용하였다. 비구형 지구 중력 포텐셜에 의한 섭동은 J4항까지 고려하였으며, 대기 항력은 간단한 exponential 모델을 적용하였다. 또한 수치계산 시 적분 간격과 정밀도 차수를 조절하여 각 모델의 계산 안정성을 테스트하였다. 본 연구의 궤도계산 결과 USM 모델을 이용한 계산방법은 그 정밀성과 계산효율성이 매우 우수한 것으로 검증되었다.

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Estimates of Partial Safety Factors of Circumferential Through-Wall Cracked Pipes Based on Elastic-Plastic Crack Initiation Criterion (탄소성 균열개시조건에 대한 원주방향 관통균열 배관의 부분안전계수 계산)

  • Lee, Jae-Bin;Huh, Nam-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.11
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    • pp.1257-1264
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    • 2014
  • Efforts are presently underway for developing an optimal design methodology for GEN-IV nuclear reactors based on target failure probabilities. A typical example is the system-based code, in which the results are represented in the form of partial safety factors (PSFs). Thus, a PSF is one of the crucial elements in either component design or integrity assessment based on target failure probabilities during the operation period. In the present study, a procedure for calculating the PSF of a circumferential through-wall cracked pipe based on the elastic-plastic crack initiation criterion is established, in which the importance of each input variable is assessed. Elastic-plastic J-integrals are calculated using the GE/EPRI and reference stress methods, and the PSF values are calculated using both first- and second-order reliability methods. Moreover, the effect of statistical distributions of assessment variables on the PSF is also evaluated.

Determination of Energy Release Rate of Penny-shaped Interface Crack on Bimaterial Cylinder (동전모양 균열이 존재하는 이상복합체의 에너지해방율 산정)

  • 양성철;서영찬;박종원
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.3
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    • pp.389-398
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    • 2002
  • The mixed mode problem (I and II) of a peny-shaped interface cracks in remote tension loading on a bi-material cylinder is studied using finite element method. The energy release rates for the tip of the crack in the interface were calibrated for several different moduli combinations and crack ratios using the modified crack closure integral technique and J-integral method, with numerical results obtained from a commercial finite element program. Numerical results show that non-dimensional value of$\sqrt{G_{II}E^*}/\sqrt[p]{\pi a}$ increases as the crack size or moduli ratio increases. Meanwhile, non-dimensional value of$\sqrt{G_{I}E^*}/\sqrt[p]{\pi a}$ decreases as the moduli ratio increases, but above the moduli ratio of 3 its value decreases then increases again as the crack size increases. Reliability of the numerical analysis in this study was acquired with comparison to an analytical solution for the peny-shaped interface crack in an infinite medium.

Flux correction coefficient in numerical simulation of shallow-water flow over square-edged broad-crested weir (직각 광정 위어를 지나는 천수 흐름 모의에서 흐름률 보정 계수)

  • Seung-Yong Hwang
    • Proceedings of the Korea Water Resources Association Conference
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    • 2023.05a
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    • pp.503-503
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    • 2023
  • Hwang(2022; J.KWRA, 55, 10)은 수심 적분 모형으로 불연속 지형을 경사로 완화하지 않고 직접 해석하는 Hwang(2015; J.KSCE, 35, 6)의 기법이 적용된 수치 모형의 정확도를 높이기 위해 지형 전면에 실제로 작용하는 정수압 분포와 차이를 해명하는 흐름률 보정 계수(flux correction coefficient)를 도입하였다. 직각 광정 위어 실험 중에서 널리 알려진 다섯 가지 월류 실험으로부터 218회의 시행을 추려 실험과 모의에서 월류량 값이 서로 잘 일치하는 흐름률 보정 계수를 각각 산정하였는데, 이때 광정 위어를 지나는 흐름을 모의하기 위해 계산 영역을 평면 2차원으로 두고 삼각형 계산 격자로 분할하였다(Hwang, 2022). 실험에 사용된 실험 수로들이 수로의 길이 방향으로 그 폭이 일정하므로 옆벽의 영향이 크지 않다면 수로의 단위 폭에 모형을 적용함으로써 계산 영역의 차원을 한 수준 낮출 수 있다. 실질적으로 1차원 모의가 되어 모의 시간을 획기적으로 줄일 수 있으므로 다양한 분석이 가능하겠으나, 2차원 모의로부터 결정된 흐름률 보정 계수를 수정없이 그대로 적용하는 것이 적절한지 검토할 필요가 있다. 이 연구에서는 Hwang(2022)이 검토한 218회의 직각 광정 위어 실험 시행에 수로의 단위 폭에 불연속 지형을 직접 해석할 수 있는 Hwang(2015)의 1차원 모형을 적용하고 모의와 실험에서 월류량의 차이가 최소가 되는 흐름률 보정 계수를 각각 산정하였다. 결정된 흐름률 보정 계수의 평균값을 별도로 선정된 두 가지 직각 광정 위어 실험에 적용하였으며, 보정에 따른 모형의 성능을 평가하기 위해 Willmott의 일치 지표(index of agreement)를 이용하였다. 흐름률 보정 계수를 적용하였을 때, 한 실험 경우에 대해 모형의 성능이 대폭 개선됨을 확인하였고 성능 개선이 미미한 나머지 실험 경우는 보정 전에 일치 지표가 이미 상당히 높은 편이었다. 2차원 문제에 이어 1차원 모형의 적용에서도 흐름률 보정 계수를 결정함으로써 계단이나 직립 보와 같은 불연속 지형을 넘나드는 천수 흐름의 월류량을 더 쉽고 정확하게 파악할 수 있을 것으로 기대된다.

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Quantitative Evaluation of Energy Coupling between Quasi-Periodic Substorms and High-Speed Coronal Streams (준 주기적인 서브스톰과 고속 태양풍 사이의 에너지 결합에 대한 정량적 평가)

  • Park, M.Y.;Lee, D.Y.;Kim, K.C.;Choi, C.R.;Park, K.S.
    • Journal of Astronomy and Space Sciences
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    • v.25 no.2
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    • pp.139-148
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    • 2008
  • It has been known that high-speed solar wind streams associated with coronal holes lead to quasi-periodic substorms that occur approximately every $2{\sim}4$ hours. In this paper we examined 222 repetitive substorms that occurred during high-speed stream periods in July through December in 2003 to quantitatively determine a range of energy input from the solar wind into the magnetosphere between two consecutive substorms. For this study, we have used the Akasofu ${\varepsilon}$-parameter to time-integrate it for the interval between two consecutive substorms, and have applied this method to the 222 substorms. We find that the average amount of solar wind input energy between two adjacent substorms is $1.28{\times}10^{14}J$ and about 85% out of the 222 substorms occur after an energy input of $2{\times}10^{13}{\sim}2.3{\times}10^{14}J$. Based on these results, we suggest that it is not practical to predict when a sub storm will occur after a previous one occurs purely based on the solar wind-magnetosphere energy coupling. We provide discussion on several possible factors that may affect determining substorm onset times during high-speed streams.

Evaluation of Fracture Toughness of Copper Thin Films by Combining Numerical Analyses and Experimental Tests (해석과 실험을 결합한 구리 박막의 파괴인성 평가)

  • Kim, Hyun-Gyu;Oh, Se-Young;Kim, Kwang-Soo;Lee, Haeng-Soo;Kim, Seong-Woong;Kim, Jae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.2
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    • pp.233-239
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    • 2013
  • In this paper, a method of combining numerical analyses and experimental tests is used to evaluate fracture toughness of copper thin films of $15{\mu}m$ thickness. Far-field loadings of a global-local finite element model are inversely estimated by matching crack opening profiles in experiments with numerical results. The fracture toughness is then evaluated using the J-integral for cracks in thin films under far-field loadings. In experiments, Cu thin films attached to Aluminum sheets are loaded indirectly, and crack opening profiles are observed by microscope camera. Stress versus strain curves of Cu thin films are obtained through micro-tensile tests, and the grain size of Cu thin films is observed by TEM analysis. The results show that the fracture toughness of Cu thin films with $500nm{\sim}1{\mu}m$ sized grains is $6,962J/m^2$.

Numerical Simulation of Liquid Sloshing in Three- Dimensional Tanks (3차원(次元) 탱크내에서의 액체(液體) 슬로싱의 수치(數値) 해석(解析))

  • J.H. Hwang;I.S. Kim;Y.S. Seol;S.C. Lee;Y.K. Chon
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.12-18
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    • 1991
  • Three-dimensional nonlinear sloshing effects due to tank motions are simulated by solving boundary value problem using the panel method based on boundary integral technique. While Shinkai used boundary elements on which source strengths vary linearly between nodes, the source of constant strength is distributed on each triangular panel in the present study. The source strength at each time step is determined by solving the Fredholm integral equation of the second kind obtained from Green's theorem. To avoid cumulative numerical errors as time elapses, Adam-Bashforth-Moulton method is employed. Numerical examples for the case of partially filled spherical tank on board oscillating in harmonic sway mode or pitch mode are solved. The elevation of the free surface is compared with the result by Shinkai and confirmed in good agreement during early time. The input and the output energy are comparatively evaluated to check the overall accuracy of the present numerical scheme. Although some leakage of energy are found as time marches, it is plausible when we take into account nonlinearities of the problem and the number of panels of the model.

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