• 제목/요약/키워드: Sensitivity to Initial Conditions

검색결과 105건 처리시간 0.028초

New chaotic map development and its application in encrypted color image

  • JarJar, Abdellatif
    • Journal of Multimedia Information System
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    • 제8권2호
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    • pp.131-142
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    • 2021
  • This paper traces the process of constructing a new one-dimensional chaotic map, and will provide a simple application in color image encryption. The use of Sarkovskii's theorem will make it possible to determine the existence of chaos and restrict all conditions to ensure the existence of this new sequence. In addition, the sensitivity to initial conditions will be proved by Lyapunov's index value. Similarly, the performance of this new chaotic map will be illustrated graphically and compared with other chaotic maps most commonly used in cryptography. Finally, a humble color image encryption application will show the power of this new chaotic map.

도상횡저항력의 확률분포 특성에 따른 CWR 궤도의 좌굴 민감도 (Buckling Sensitivity of CWR Tracks according to the Characteristics of the Probability Distribution of the Lateral Ballast Resistance)

  • 윤경민;배현웅;강태구;김명수;임남형
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2011년도 춘계학술대회 논문집
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    • pp.423-426
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    • 2011
  • The excessive axial load occurred in an immovable zone of continuous welded rail(CWR) tracks threatens the security of running trains due to the track buckling in extreme hot summer. The influence factors, such as rail temperature for compressive stress, ballast resistance for track stiffness and initial imperfection of track for tracks irregularity are uncertain track parameters that are randomly varied by climate conditions, operating conditions and maintenance of track etc. So, buckling of CWR tracks has very high uncertainties. Therefore, applying the probabilistic approach method is essential in order to rationally consider the uncertainty and randomness of the various parameters. In this study, buckling sensitivity analysis was carried out with respect to the characteristics of probability distribution of lateral ballast resistance using the buckling probability evaluation system of CWR tracks developed by our research team.

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0가 철분을 이용한 유기염소화합물의 환원적 탈염소화 (Reductive Dechlorination of Chlorinated Oraganic Compounds Using Zero-Valent Iron)

  • 이창수;배우근
    • 한국산업융합학회 논문집
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    • 제4권4호
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    • pp.427-432
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    • 2001
  • The purpose of study is to examine the sensitivity of the rate of degradation to initial TCE concentration and iron concentration in the solution. The batch tests were executed to assess the degradation rate at varying initial conditions. First order rate constants($k_a$) were more rapid with the lower initial TCE concentration, Howere the correleation was not always linear between $k_a$ and initial TCE concentration. $k_a$ was proportionally increased as the increasing surface area. It implied that the effective reactive surface area acted as the limiting factor on the reductive dechlorination of TCE by iron.

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ANALYSIS OF TMI-2 BENCHMARK PROBLEM USING MAAP4.03 CODE

  • Yoo, Jae-Sik;Suh, Kune-Yull
    • Nuclear Engineering and Technology
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    • 제41권7호
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    • pp.945-952
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    • 2009
  • The Three Mile Island Unit 2 (TMI-2) accident provides unique full scale data, thus providing opportunities to check the capability of codes to model overall plant behavior and to perform a spectrum of sensitivity and uncertainty calculations. As part of the TMI-2 analysis benchmark exercise sponsored by the Organization for Economic Cooperation and Development Nuclear Energy Agency (OECD NEA), several member countries are continuing to improve their system analysis codes using the TMI-2 data. The Republic of Korea joined this benchmark exercise in November 2005. Seoul National University has analyzed the TMI-2 accident as well as the currently proposed alternative scenario along with a sensitivity study using the Modular Accident Analysis Program Version 4.03 (MAAP4.03) code in collaboration with the Korea Hydro and Nuclear Power Company. Two input files are required to simulate the TMI-2 accident with MAAP4: the parameter file and an input deck. The user inputs various parameters, such as volumes or masses, for each component. The parameter file contains the information on TMI-2 relevant to the plant geometry, system performance, controls, and initial conditions used to perform these benchmark calculations. The input deck defines the operator actions and boundary conditions during the course of the accident. The TMI-2 accident analysis provided good estimates of the accident output data compared with the OECD TMI-2 standard reference. The alternative scenario has proposed the initial event as a loss of main feed water and a small break on the hot leg. Analysis is in progress along with a sensitivity study concerning the break size and elevation.

Nonlinear harmonic resonances of spinning graphene platelets reinforced metal foams cylindrical shell with initial geometric imperfections in thermal environment

  • Yi-Wen Zhang;Gui-Lin She
    • Structural Engineering and Mechanics
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    • 제88권5호
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    • pp.405-417
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    • 2023
  • This paper reveals theoretical research to the nonlinear dynamic response and initial geometric imperfections sensitivity of the spinning graphene platelets reinforced metal foams (GPLRMF) cylindrical shell under different boundary conditions in thermal environment. For the theoretical research, with the framework of von-Karman geometric nonlinearity, the GPLRMF cylindrical shell model which involves Coriolis acceleration and centrifugal acceleration caused by spinning motion is assumed to undergo large deformations. The coupled governing equations of motion are deduced using Euler-Lagrange principle and then solved by a combination of Galerkin's technique and modified Lindstedt Poincare (MLP) model. Furthermore, the impacts of a set of parameters including spinning velocity, initial geometric imperfections, temperature variation, weight fraction of GPLs, GPLs distribution pattern, porosity distribution pattern, porosity coefficient and external excitation amplitude on the nonlinear harmonic resonances of the spinning GPLRMF cylindrical shells are presented.

충격력을 받는 구형 쉘의 혼돈거동 해석 (Chaotic Response of a Spherical Shell to Impulsive Loading)

  • 이재영;강영철
    • 전산구조공학
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    • 제10권3호
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    • pp.167-174
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    • 1997
  • 계가 혼돈거동을 나타낼 경우에는 변수들의 미소변화에 의해서도 계가 전혀 다른 거동을 나타낼 수 있기 때문에 비선형계의 설계 및 해석시에는 이를 고려해야 한다. 따라서 본 연구에서는 구형 쉘의 중앙에 충격하중이 수직방향으로 작용하는 경우, 쉘의 기하학적 비선형성과 재료적 비선형성으로부터 기인되는 혼돈거동을 해석하였다. 쉘의 탄소성거동을 유한요소법을 이용하여 구한 후 계의 거동을 변위-시간이력, 프앙카레 맵, phase diagram등의 표준적인 방법들을 이용하여 쉘의 혼돈거동을 규명하였다. 해석결과, 계는 혼돈거동을 나타내었으나 탄소성보의 경우와는 달리 초기조건의 미소변화에 대한 극도의 민감도는 나타나지 않았으며 시간에 대한 쉘의 거동특성도 크게 변하지 않았다. 프앙카레 맵은 한정된 영역에 결쳐서 점들이 분포되었기 때문에 계의 거동이 혼돈거동임을 보여 주고 있지만 혼돈계의 프앙카레 맵에서 나타나는 기하학적 구조는 나타나지 않았다. 에너지선도를 이용하여 쉘이 하중의 작용방향 또는 반대방향으로 불규칙적으로 snap-through되는 원인을 규명하였다.

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모듈 선체형 삼동 폰툰 보트의 구조설계 민감도 평가와 근사 최적화 해석 (Sensitivity Evaluation and Approximate Optimization Analysis for Structure Design of Module Hull Type Trimaran Pontoon Boat)

  • 최보엽;손창련;손준식;박민호;송창용
    • 한국산업융합학회 논문집
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    • 제26권6_3호
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    • pp.1279-1288
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    • 2023
  • Recently, domestic leisure boats have been actively researching eco-friendly product development to enter the global market. Since the hulls of existing leisure boats are mainly made of fiber reinforced plastic (FRP) or aluminum, design techniques for securing structural safety by applying related materials have been mainly studied. In this study, an initial structural design safety assessment of a trimaran pontoon leisure boat with a modular hull structure and eco-friendly high-density polyethylene (HDPE) material was conducted, and sensitivity evaluation and optimization analysis for lightweight design were performed. The initial structural design safety assessment was carried out by creating a finite element analysis model and applying the loading conditions specified in the ship classification regulation to check whether the specified allowable stresses are satisfied. For the sensitivity evaluation, the influence of stress and weight of each hull structural member was evaluated using the orthogonal array design of experiments method, and an approximate model based on the response surface method was generated using the results of the design of experiments. The optimization analysis set the thickness of the hull structural members as the design variable and considered the optimal design formulation to minimize the weight while satisfying the allowable stress. The algorithm of the optimization analysis applied the Gradient-population Based Optimizer (GBO) to improve the accuracy of the optimal solution convergence while reducing the numerical cost. Through this study, the optimal design of a newly developed eco-friendly trimaran pontoon leisure boat with a weight reduction of 10% was presented.

CMAQ 모델링을 통한 초기 기상장에 대한 미세먼지 농도 예측 민감도 연구 (Sensitivity Study of the Initial Meteorological Fields on the PM10 Concentration Predictions Using CMAQ Modeling)

  • 조유진;이효정;장임석;김철희
    • 한국대기환경학회지
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    • 제33권6호
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    • pp.554-569
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    • 2017
  • Sensitivity analysis on $PM_{10}$ forecasting simulations was carried out by using two different initial and boundary conditions of meteorological fields: NCEP/FNL (National Centers for Environmental Prediction/Final Analysis) reanlaysis data and NCEP/GFS (National Centers for Environmental Prediction/Global Forecast System) forecasting data, and the comparisons were made between two different simulations. The two results both yielded lower $PM_{10}$ concentrations than observations, with relatively lower biased results by NCEP/FNL than NCEP/GFS. We explored the detailed individual meteorological variables to associate with $PM_{10}$ prediction performance. With the results of NCEP/FNL outperforming GFS, our conclusion is that no particular significant bias was found in temperature fields between NCEP/FNL and NCEP/GFS data, while the overestimated wind speed by NCEP/GFS data influenced on the lower $PM_{10}$ concentrations simulation than NCEP/FNL, by decreasing the duration time of high-$PM_{10}$ loaded air mass over both coastal and metropolitan areas. These comparative characteristics of FNL against GFS data such as maximum 3~4 m/s weaker wind speed, $PM_{10}$ concentration control with the highest possible factor of 1.3~1.6, and one or two hour difference of peak time for each case in this study, were also reflected into the results of statistical analysis. It is implying that improving the surface wind speed fluctuation is an important controlling factor for the better prediction of $PM_{10}$ over Korean Peninsula.

Topological Derivative를 이용한 선형 구조물의 레벨셋 기반 형상 최적 설계 (Level Set Based Shape Optimization of Linear Structures Using Topological Derivatives)

  • 하승현;김민근;조선호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2006년도 정기 학술대회 논문집
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    • pp.299-306
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    • 2006
  • Using a level set method and topological derivatives, a topological shape optimization method that is independent of an initial design is developed for linearly elastic structures. In the level set method, the initial domain is kept fixed and its boundary is represented by an implicit moving boundary embedded in the level set function, which facilitates to handle complicated topological shape changes. The 'Hamilton-Jacobi (H-J)' equation and computationally robust numerical technique of 'up-wind scheme' lead the initial implicit boundary to an optimal one according to the normal velocity field while minimizing the objective function of compliance and satisfying the constraint of allowable volume. Based on the asymptotic regularization concept, the topological derivative is considered as the limit of shape derivative as the radius of hole approaches to zero. The required velocity field to update the H -J equation is determined from the descent direction of Lagrangian derived from optimality conditions. It turns out that the initial holes is not required to get the optimal result since the developed method can create holes whenever and wherever necessary using indicators obtained from the topological derivatives. It is demonstrated that the proper choice of control parameters for nucleation is crucial for efficient optimization process.

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제어기 매개변수를 고려한 전력계통의 고유치감도 해석에 관한 연구 (Eigenvalue Sensitivity Analysis Based on the Structure of System State Matrix)

  • 권세혁;노규민;김덕영;김형철
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 A
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    • pp.157-160
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    • 1992
  • An approximate method for the dominant eigenvalue of one machine connected to the infinite bus has been suggested. This method is based on combining the traditional eigenvalue sensitivity analysis and the structure of the system state matrix. Numerical examples are presented. This method is considered to be quite useful in the stability analysis for various initial conditions and for adjustment of generator controller parameters.

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