• 제목/요약/키워드: Perturbation Method

검색결과 911건 처리시간 0.03초

투수계수 산정을 위한 균질화 해석법의 적응 (Application of the Homogenization Analysis to Calculation of a Permeability Coefficient)

  • 채병곤
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제9권1호
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    • pp.79-86
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    • 2004
  • 암석 내 균열을 따른 수리전도도는 균열의 기하학적 요소, 즉 방향, 간극, 거칠기 그리고 상호 연결도에 주로 좌우된다. 따라서, 균열 내 투수계수를 정확하게 계산하기 위해서는 이와 같은 기하 요소들을 최대한 계산모델에 반영할 필요가 있다. 이 연구에서는 균열 기하양상을 최대한 정확히 반영한 균열모델에서 기존 수치해석과는 다른 새로운 방법인 균질화 해석법(homogenization analysis method)을 이용하여 균열을 따른 투수계수를 구하기 위해 수치해석을 수행하였다. 먼저, 공초점 레이저 스캔 현미경(Confocal Laser Scanning Microscope)을 이용하여 암석시료의 균열 조도와 균열에 가한 수직압축력의 변화에 따른 간극 변화량을 직접 측정하고, 이와 같이 획득한 자료는 균열모델 재현을 위한 입력자료로 사용되었다. 재현된 균열모델을 토대로 한 균질화 해석법은 미시규모(microscale) 매질특성과 거시규모(macroscale) 매질특성을 동시에 고려하여 투수계수를 계산할 수 있는 것이다. 즉, 균질화 해석법은 주기적 미세구조(microstructure)를 갖는 미소 불균질 물질의 거동특성을 구명하기 위해 개발된 새로운 형태의 섭동(perturbation) 이론이다. 이는 균질한 미시규모에서 미시 투수특성을 계산한 후, 거시규모에서의 균질화 투수계수를 계산하게 된다. 그러므로, 이 방법은 균열 기하양상의 국부적 영향을 고려한 투수특성을 정확히 해석할 수 있다. 균질화법을 이용한 투수계수 산정결과를 기존 연구에서 제안한 경험식과 비교하여 그 타당성을 검증하기 위해 전술한 2차원 균열모델을 이용한 투수계수 계산을 수행하였다. 균열모델은 거칠기(roughness)를 반영하고 동일한 간극을 할당한 평행판 모델을 가정하였다. 계산결과에 의하면, 균질화 해석법에 의해 계산한 C-투수계수는 실내투수시험에 의해 구한 투수계수와 같은 범위의 값을 가지거나 $10^1$ 정도의 차이를 보여, 그 계산결과는 타당하다고 볼 수 있다. 그러나, 균질화 해석법은 국부적으로 불균질한 균열 기하양상과 물질특성이 미시규모와 거시규모에서 모두 고려되므로, 이들 특성을 정확히 알고 있을 경우 기존에 제안된 경험식들에 의한 계산결과 보다 균질화 해석법의 결과가 훨씬 정확함을 주목하여야 한다.

Computation of Aeolian Tones from Twin-Cylinders Using Immersed Surface Dipole Sources

  • Cheong, Cheol-Ung;Ryu, Je-Wook;Lee, Soo-Gab
    • Journal of Mechanical Science and Technology
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    • 제20권12호
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    • pp.2292-2314
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    • 2006
  • Efficient numerical method is developed for the prediction of aerodynamic noise generation and propagation in low Mach number flows such as aeolian tone noise. The proposed numerical method is based on acoustic/viscous splitting techniques of which acoustic solvers use simplified linearised Euler equations, full linearised Euler equations and nonlinear perturbation equations as acoustic governing equations. All of acoustic equations are forced with immersed surface dipole model which is developed for the efficient computation of aerodynamic noise generation and propagation in low Mach number flows in which dipole source, originating from unsteady pressure fluctuation on a solid surface, is known to be more efficient than quadrupole sources. Multi-scale overset grid technique is also utilized to resolve the complex geometries. Initially, aeolian tone from single cylinder is considered to examine the effects that the immersed surface dipole models combined with the different acoustic governing equations have on the overall accuracy of the method. Then, the current numerical method is applied to the simulation of the aeolian tones from twin cylinders aligned perpendicularly to the mean flow and separated 3 diameters between their centers. In this configuration, symmetric vortices are shed from twin cylinders, which leads to the anti-phase of the lift dipoles and the in-phase of the drag dipoles. Due to these phase differences, the directivity of the fluctuating pressure from the lift dipoles shows the comparable magnitude with that from the drag dipoles at 10 diameters apart from the origin. However, the directivity at 100 diameters shows that the lift-dipole originated noise has larger magnitude than, but still comparable to, that of the drag-dipole one. Comparison of the numerical results with and without mean flow effects on the acoustic wave emphasizes the effects of the sheared background flows around the cylinders on the propagating acoustic waves, which is not generally considered by the classic acoustic analogy methods. Through the comparison of the results using the immersed surface dipole models with those using point sources, it is demonstrated that the current methods can allow for the complex interactions between the acoustic wave and the solid wall and the effects of the mean flow on the acoustic waves.

열전발전을 위한 DC-DC Converter의 입력측 전압·전류 센서없는 최대전력점 추적방식 (Maximum Power Point Tracking Method Without Input side Voltage and current Sensor of DC-DC Converter for Thermoelectric Generation)

  • 김태경;박대수;오성철
    • 한국산학기술학회논문지
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    • 제21권3호
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    • pp.569-575
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    • 2020
  • 최근, 화석연료 고갈과 온실 가스 배출에 대한 우려가 높아지면서 신·재생 에너지 기술에 대한 연구가 주목을 받고 있다. 휴대용 전자기기 및 웨어러블 디바이스의 수요가 증가하고 IT기기들이 소형화되면서 배터리의 크기, 사용시간 등의 한계를 극복하기 위한 기술로 에너지 하베스팅이 있다. 본 논문에서는 열전소자의 V-I 특성곡선과 내부저항을 분석하고, 기존의 MPPT제어방식을 비교하였다. P&O제어방식은 열전소자의 전압, 전류를 측정하기 위한 센서 2개를 사용해야하기 때문에 경제적으로 비효율적이다. 따라서 본 논문에서는 출력전압 조절을 위한 센서1개만을 이용하여 MPP를 추적하는 새로운 MPPT제어방식을 제안한다. 제안하는 MPPT제어방식은 duty ratio와 부하의 출력전압의 관계를 이용하였으며, DC-DC Converter의 출력전압을 주기적으로 샘플링하여 duty ratio를 증가 또는 감소시켜 최적의 duty ratio를 찾아 MPP를 유지하도록 제어된다. DC-DC Converter는 Two-Switch 토폴로지인 Cascaded boost-Buck Converter를 이용하여 회로도를 설계하였다. 제안된 MPPT 제어방식은 PSIM 시뮬레이션을 이용한 모의실험을 통하여 검증하였고, 그 결과 열전소자의 V-I 특성곡선으로부터 얻어지는 MPP에서 전압×전류 및 전력값(V=4.2V, I=2.5A, P=10.5W)과 일치함을 확인하였다.

Microarray Data Analysis of Perturbed Pathways in Breast Cancer Tissues

  • Kim, Chang-Sik;Choi, Ji-Won;Yoon, Suk-Joon
    • Genomics & Informatics
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    • 제6권4호
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    • pp.210-222
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    • 2008
  • Due to the polygenic nature of cancer, it is believed that breast cancer is caused by the perturbation of multiple genes and their complex interactions, which contribute to the wide aspects of disease phenotypes. A systems biology approach for the identification of subnetworks of interconnected genes as functional modules is required to understand the complex nature of diseases such as breast cancer. In this study, we apply a 3-step strategy for the interpretation of microarray data, focusing on identifying significantly perturbed metabolic pathways rather than analyzing a large amount of overexpressed and underexpressed individual genes. The selected pathways are considered to be dysregulated functional modules that putatively contribute to the progression of disease. The subnetwork of protein-protein interactions for these dysregulated pathways are constructed for further detailed analysis. We evaluated the method by analyzing microarray datasets of breast cancer tissues; i.e., normal and invasive breast cancer tissues. Using the strategy of microarray analysis, we selected several significantly perturbed pathways that are implicated in the regulation of progression of breast cancers, including the extracellular matrix-receptor interaction pathway and the focal adhesion pathway. Moreover, these selected pathways include several known breast cancer-related genes. It is concluded from this study that the present strategy is capable of selecting interesting perturbed pathways that putatively play a role in the progression of breast cancer and provides an improved interpretability of networks of protein-protein interactions.

Stochastic optimal control analysis of a piezoelectric shell subjected to stochastic boundary perturbations

  • Ying, Z.G.;Feng, J.;Zhu, W.Q.;Ni, Y.Q.
    • Smart Structures and Systems
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    • 제9권3호
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    • pp.231-251
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    • 2012
  • The stochastic optimal control for a piezoelectric spherically symmetric shell subjected to stochastic boundary perturbations is constructed, analyzed and evaluated. The stochastic optimal control problem on the boundary stress output reduction of the piezoelectric shell subjected to stochastic boundary displacement perturbations is presented. The electric potential integral as a function of displacement is obtained to convert the differential equations for the piezoelectric shell with electrical and mechanical coupling into the equation only for displacement. The displacement transformation is constructed to convert the stochastic boundary conditions into homogeneous ones, and the transformed displacement is expanded in space to convert further the partial differential equation for displacement into ordinary differential equations by using the Galerkin method. Then the stochastic optimal control problem of the piezoelectric shell in partial differential equations is transformed into that of the multi-degree-of-freedom system. The optimal control law for electric potential is determined according to the stochastic dynamical programming principle. The frequency-response function matrix, power spectral density matrix and correlation function matrix of the controlled system response are derived based on the theory of random vibration. The expressions of mean-square stress, displacement and electric potential of the controlled piezoelectric shell are finally obtained to evaluate the control effectiveness. Numerical results are given to illustrate the high relative reduction in the root-mean-square boundary stress of the piezoelectric shell subjected to stochastic boundary displacement perturbations by the optimal electric potential control.

Multicriteria shape design of a sheet contour in stamping

  • Oujebbour, Fatima-Zahra;Habbal, Abderrahmane;Ellaia, Rachid;Zhao, Ziheng
    • Journal of Computational Design and Engineering
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    • 제1권3호
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    • pp.187-193
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    • 2014
  • One of the hottest challenges in automotive industry is related to weight reduction in sheet metal forming processes, in order to produce a high quality metal part with minimal material cost. Stamping is the most widely used sheet metal forming process; but its implementation comes with several fabrication flaws such as springback and failure. A global and simple approach to circumvent these unwanted process drawbacks consists in optimizing the initial blank shape with innovative methods. The aim of this paper is to introduce an efficient methodology to deal with complex, computationally expensive multicriteria optimization problems. Our approach is based on the combination of methods to capture the Pareto Front, approximate criteria (to save computational costs) and global optimizers. To illustrate the efficiency, we consider the stamping of an industrial workpiece as test-case. Our approach is applied to the springback and failure criteria. To optimize these two criteria, a global optimization algorithm was chosen. It is the Simulated Annealing algorithm hybridized with the Simultaneous Perturbation Stochastic Approximation in order to gain in time and in precision. The multicriteria problems amounts to the capture of the Pareto Front associated to the two criteria. Normal Boundary Intersection and Normalized Normal Constraint Method are considered for generating a set of Pareto-optimal solutions with the characteristic of uniform distribution of front points. The computational results are compared to those obtained with the well-known Non-dominated Sorting Genetic Algorithm II. The results show that our proposed approach is efficient to deal with the multicriteria shape optimization of highly non-linear mechanical systems.

비드 형상 최적화를 이용한 전방 측면 부재의 충돌 최적화 연구 (A Study on Crashworthiness Optimization of Front Side Members using Bead Shape Optimization)

  • 이준영;이정석;이용훈;배복수;김규학;임홍재
    • 대한기계학회논문집A
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    • 제36권3호
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    • pp.331-337
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    • 2012
  • 본 논문은 위상최적화 기법을 이용하여 전방측면 부재를 최적화 한다. 전방측면 부재에 최적화를 진행하기 전에 사각단면 부재에 최적화를 진행한다. 목적함수는 1 차 좌굴 계수가 길이방향으로 최소화되도록 설정한다. 설계변수는 법선방향으로 질점의 이동이다. 사각단면부재의 반응표면법을 이용한 최적화 모델과 위상최적화 모델에 대해 충돌해석을 수행한다. 위상최적화 기법을 검증하기 위해 두 결과를 비교한다. 그 결과 위상최적화 기법을 충돌해석에 적용할 수 있다는 것을 확인하고 실제차량의 전방측면부재에 적용한다. 결과적으로 전방측면 부재는 최적화되고 내충격성이 향상한다.

Investigation of the Protonated State of HIV-1 Protease Active Site

  • Nam, Ky-Youb;Chang, Byung-Ha;Han, Cheol-Kyu;Ahn, Soon-Kil;No, Kyoung-Tai
    • Bulletin of the Korean Chemical Society
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    • 제24권6호
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    • pp.817-823
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    • 2003
  • We have performed ab initio calculation on the active site of HIV-1 protease. The FEP method was used to determine the binding free energy of four different of protonated states of HIV-1 protease with inhibitor. The structure of the active site and hole structure was taken from the X-ray crystallographic coordinates of the C₂ symmetric inhibitor A74704 protease bound. The active site was modeled with the fragment molecules of binding pocket, acetic acid/ acetate anion (Asp25, Asp125), formamide (amide bond of Thr26/Gly27, Thr126/ Gly127), and methanol as inhibitor fragment. All possibly protonated states of the active site were considered, which were diprotonated state (0, 0), monoprotonated (-1, 0),(0, -1) and diunprotonated state (-1, -1). Once the binding energy Debind, of each model was calculated, more probabilistic protonated states can be proposed from binding energy. From ab-initio results, the FEP simulations were performed for the three following mutations: Ⅰ) Asp25 … Asp125 → AspH25 … Asp125, ⅱ) Asp25 … Asp125 → Asp25 … AspH125, ⅲ) AspH25 … Asp125 → AspH25 … AspH125. The free energy difference between the four states gives the information of the more realistic protonated state of active site aspartic acid. These results provide a theoretical prediction of the protonation state of the catalytic aspartic residues for A74707 complex, and may be useful for the evaluation of potential therapeutic targets.

다목적 시스템식별을 이용한 모우드 불확실성이 있는 구조물의 강인 최적 감쇠기 설계 (Robust Optimal Damper Design of Structures with Modal Uncertainty Using Multi-Objective System Identification)

  • 정성운;옥승용;박원석;고현무
    • 한국안전학회지
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    • 제27권1호
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    • pp.76-85
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    • 2012
  • This paper proposes a robust damper design technique for adjacent structures against model uncertainty. This approach introduces multi-objective optimization based system identification using measurement information which enables reasonable selection of the perturbation range in the robust design. Moreover, in order to improve the numerical efficiency in sampling the structural models required for the robust design of large structures, we define new objective functions which enable us to minimize the number of candidate models suitable to the purpose of the robust design. In addition, the performance index is newly employed to evaluate the robust performance of the sampled structural models, and the robust design has been performed according to the performance index. As a numerical example to demonstrate the efficiency of the proposed method, 5-story and 10-story two adjacent buildings are taken into account, and the existing and newly proposed robust design approaches are compared with each other. The results demonstrate that the proposed approach can guarantee more robust damper system only using small number of samples of the structural models because of using the measurement information which leads to improvement in the numerical efficiency, compared with the existing robust design methods.

Predicting the Frequency of Combustion Instability Using the Measured Reflection Coefficient through Acoustic Excitation

  • Bae, Jinhyun;Yoon, Jisu;Joo, Seongpil;Kim, Jeoungjin;Jeong, Chanyeong;Sohn, Chae Hoon;Borovik, Igor N.;Yoon, Youngbin
    • International Journal of Aeronautical and Space Sciences
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    • 제18권4호
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    • pp.797-806
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    • 2017
  • In this study, the reflection coefficient (RC) and the flame transfer function (FTF) were measured by applying acoustic excitation to a duct-type model combustor and were used to predict the frequency of the combustion instability (CI). The RC is a value that varies with the excitation frequency and the geometry of the combustor as well as other factors. Therefore, in this study, an experimentally measured RC was used to improve the accuracy of prediction in the cases of 25% and 75% hydrogen in a mixture of hydrogen and methane as a fuel. When the measured RCs were used, an unstable condition was correctly predicted, which had not been predicted when the RCs had been assumed to be a certain value. The reason why the CI occurred at a specific frequency was also examined by comparing the peak of the FTF with the resonance frequency, which was calculated using Helmholtz's resonator analysis and a resonance frequency equation. As the CI occurred owing to the interaction between the perturbation in the rate of heat release and that in the pressure, the CI was frequent when the peak of the FTF was close to the resonance frequency such that constructive interference could occur.