• Title/Summary/Keyword: Analysis of Characteristic

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On the Relationship between $\varepsilon$-sensitivity Analysis and Sensitivity Analysis using an Optimal Basis

  • Park, Chan-Kyoo;Kim, Woo-Je;Park, Soondal
    • Management Science and Financial Engineering
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    • v.10 no.2
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    • pp.103-118
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    • 2004
  • $\epsilon$-sensitivity analysis is a kind of methods for performing sensitivity analysis for linear programming. Its main advantage is that it can be directly applied for interior-point methods with a little computation. Although $\epsilon$-sensitivity analysis was proposed several years ago, there have been no studies on its relationship with other sensitivity analysis methods. In this paper, we discuss the relationship between $\epsilon$-sensitivity analysis and sensitivity analysis using an optimal basis. First. we present a property of $\epsilon$-sensitivity analysis, from which we derive a simplified formula for finding the characteristic region of $\epsilon$-sensitivity analysis. Next, using the simplified formula, we examine the relationship between $\epsilon$-sensitivity analysis and sensitivity analysis using optimal basis when an $\epsilon$-optimal solution is sufficiently close to an optimal extreme solution. We show that under primal nondegeneracy or dual non degeneracy of an optimal extreme solution, the characteristic region of $\epsilon$-sensitivity analysis converges to that of sensitivity analysis using an optimal basis. However, for the case of both primal and dual degeneracy, we present an example in which the characteristic region of $\epsilon$-sensitivity analysis is different from that of sensitivity analysis using an optimal basis.

Determination of Eccentric Axis for Pump Control Valve Using the Characteristic Function (특성함수를 이용한 펌프 제어 밸브의 편심축 결정)

  • Shin, Myung-Seob;Yi, Sang-Il;Park, Gyung-Jin;Yoon, Joon-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.11 no.3
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    • pp.43-49
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    • 2008
  • The pump control valve is a butterfly valve that has an eccentric rotating axis. It is not only used as a butterfly valve to control the flow rate or pressure, but also as a check valve to prevent backward flow. A new design method of eccentric rotating axis is proposed to design the valve. The height of the rotating axis is determined through flow field analysis. A general purpose of computational fluid dynamics software system, Fluent is used to simulate the fluid flow. Flow field analysis is performed for various heights of the rotating axis and different opening angles of the valve. A characteristic function is defined for estimating the flow characteristics based on the results of flow field analysis. The characteristic function is defined in order to determine the height of the rotating axis. An optimization problem with a characteristic function is formulated to determine the amount of eccentricity. The height of the Totaling axis of the valve is determined through solving the optimization problem.

Static load test of the bogie and vibration performance test, dynamic characteristics analysis of the bulk cement car (벌크시멘트화차의 대차 하중시험과 진동성능시험 및 동특성 해석 연구)

  • 홍재성;함영삼;백영남
    • Journal of the Korean Society for Railway
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    • v.6 no.3
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    • pp.186-193
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    • 2003
  • The object of this study is to ensure the stability of bulk cement cars conducting vibration performance test, dynamic characteristic analysis and static load test of bogie frame. In case of static load test, bogie static load test facility was used. In case of dynamic characteristic analysis, Vampire Software was used. In case of vibration performance test, real bulk cement cars were used in kyeung-bu line. In the results of static load test of bogie frame for bulk cement car, all structures satisfied allowable stress criteria of materials. The vibration performance test and dynamic characteristic analysis results satisfied allowable standards.

Analysis on Vibration Characteristic of Tooling Unit on Precision Automatic Lathe (정밀 자동선반 공구 유닛의 진동특성 해석)

  • Joo, KangWo;Lee, YunChul;Lee, Young-Sik;Son, Jung-Jong;Lee, Jae-Kwan;Kim, Kwang sun
    • Journal of the Semiconductor & Display Technology
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    • v.15 no.1
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    • pp.36-40
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    • 2016
  • This paper is about the analysis on the vibration characteristic of tooling units on the precision automatic lathe. The vibration characteristic of the machine tool is emphasized in accordance with the high precision of the various industries Including the various semiconductor devices and components sector. In this paper, the vibration analysis was performed in designed tooling units of precision automatic lathe. Through the analysis, it is calculated that the frequency of distribution in certain areas by review the resonant frequency and the amount of deformation. And designed model was verified to be a stable structure.

Operating Condition Diagnosis of the Lubricated Machine Moving Surface by Image Analysis (화상해석에 의한 기계윤할 운동면의 작동상태 진단)

  • 박흥식
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.1
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    • pp.79-87
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    • 1999
  • The most part of the faculty drop a trouble and damage of machine equipment even if whatever cause they break out take place at local and trifling place and the factor dominating their trouble is due to wear debris occurred in the lubricated machine moving surface. This study has been car-ried out to identify morphology of wear debris on the lubricated machine moving system by means of computer image analysis. Namely the wear debris contained in lubricating oil extracted from movable machine equipment will be filtered through membrane filter(void diameter 0.45${\mu}m$) and will be analyzed with its data information such as 50% volume diameter aspect roundness and reflectivity. Morphological characteristic of wear debris is easily distinguished by four shape parameters it is necessary to divide small class of every 100 wear debris in total wear particles in order to distinguish morphological characteristic of wear debris more easily by computer image analysis. We are sure that operation condition diagnosis of the lubricated machine moving surfaces is possible by computer image analysis.

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Robust Optimization Design of Overhead Crane with Constraint using the Characteristic Functions (특성함수를 이용한 제한조건이 있는 천장크레인의 강건최적설계)

  • 홍도관;최석창;안찬우
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.2
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    • pp.160-167
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    • 2004
  • The correlation between the object function and the design parameter is shown on this paper by using the characteristic function for the mixed result of the structural analysis, the buckling analysis and the table of orthogonal array according to the original overhead crane's dimensional change. About the above two functions, the effectiveness of design change according to the change of design parameters could be estimated. Also, the overhead crane's weight is reduced up to 10.55 percent maintaining the structural stability according to the thickness of plate.

Robust Optimization Design of Overhead Crane with Constraint Using the Characteristic Functions

  • Hong, Do-Kwan;Choi, Seok-Chang;Ahn, Chan-Woo
    • International Journal of Precision Engineering and Manufacturing
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    • v.7 no.2
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    • pp.12-17
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    • 2006
  • This study uses a characteristic function to explain correlations between the objective function and design variables. For the use, structural analysis and buckling analysis are carried out. the dimensional change of an original overhead crane is made based on the table of orthogonal array. For two functions or more, the effectiveness of design change can be evaluated in accordance with change in design parameters. Also, the overhead crane's weight is reduced by up to 10.55 percent while its structural stability maintained.

Analytical Method to Analyze the Effect of Tolerance on the Modal Characteristic of Multi-body Systems in Dynamic Equilibrium (동적 평형위치에 있는 다물체계의 모드특성에 미치는 공차의 영향 분석을 위한 해석적 방법)

  • Kim, Bum-Suk;Yoo, Hong-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.109-114
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    • 2007
  • Analytical method to analyze the effect of tolerance on the modal characteristic of multi-body systems in dynamic equilibrium position is suggested in this paper. Monte-Carlo Method is conventionally employed to perform the tolerance analysis. However, Monte-Carlo Method spends too much time for analysis and has a greater or less accuracy depending on sample condition. To resolve these problems, an analytical method is suggested in this paper. By employing the sensitivity information of mass, damping and stiffness matrices, the sensitivities of damped natural frequencies and the transfer function can be calculated at the dynamic equilibrium position. The effect of tolerance on the modal characteristic can be analyzed from tolerance analysis method.

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Sensitivity analysis on the active strategy set in the matrix game (행렬게임의 활성전략집합에 대한 감도분석)

  • 성기석
    • Korean Management Science Review
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    • v.9 no.1
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    • pp.87-92
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    • 1992
  • The purpose of this paper is to study the sensitivity analysis in the matrix game. The third type sensitivity analysis is defined as finding the characteristic region of an element of the payoff matrix in which the set of current active strategies is preserved. First by using the relationship between matrix game and linear programming, we induce the conditions which must be satisfied for preserving the set of current active strategies. Second we show the characteristic regions of active and inactive strategy. It is found that the characteristic regions we suggests in this paper are same with that of the type one sensitivity analysis suggested by Sung[3] except only one case.

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Vibration Analysis of Thick Orthotropic Plates Using Mindlin Plate Characteristic Functions (Mindlin판 특성함수를 이용한 직교이방성 후판의 진동해석)

  • LEE JONG-MOON
    • Journal of Ocean Engineering and Technology
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    • v.17 no.3 s.52
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    • pp.21-26
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    • 2003
  • An iteractive Kantorovich method is presented for the vibration analysis of rectangular orthotropic thick plates. Mindlin plate characteristic functions are derived in general forms using the Kantorovich method. Initially, Timoshenko beam functions consistent with the boundary conditions of the plate were used. Through numerical calculations of natural fairs of appropriate models, it has been confirmed that the method presented is superior to the Rayleigh-Ritz analysis or the finite element analysis in both accuracy and computational efficiency.