• Title/Summary/Keyword: Response surface

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Nanoscale Vibro-Contact Analysis of AFM Tip on Polymer Surface (폴리머 표면측정을 위한 AFM 팁의 나노스케일 접촉-진동 해석)

  • Lee, Soo-Il
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.2 s.245
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    • pp.135-140
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    • 2006
  • In tapping mode atomic force microscopy (TM-AFM), the vibro-contact response of a resonating tip is used to measure the nanoscale topology and other properties of a sample surface. However, the nonlinear tipsurface interactions can affect the tip response and destabilize the tapping mode control. Especially it is difficult to obtain a good scanned image of high adhesion surfaces such as polymers and biomolecules using conventional tapping mode control. In this study, theoretical and experimental investigations are made on the nonlinear dynamics and control of TM-AFM. Also we report the surface adhesion is an additional important parameter to determine the control stability of TM-AFM. In addition, we proved that it was adequate to use Johnson-Kendall-Roberts (JKR) contact model to obtain a reasonable tapping response in AFM for the soft and high adhesion samples.

Multi-Objective Geometric Optimal Design of a Linear Induction Motor Using Design of Experiments and the Sequential Response Surface Method (실험계획법과 순차적 반응표면법을 이용한 선형 모터의 다중 목적 형상최적설계)

  • Ryu, Tae-Hyung;Yoo, Jeong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.8
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    • pp.726-732
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    • 2009
  • In many industries, the linear motor replaces the existing framework for linear transportation. Similar to other conventional motors, it is important to minimize the ripple of thrust and to maximize the thrust force of the linear motor. Because the two objectives are associated to each other, the multi-objective design process is necessary considering all objectives. This paper intends to optimize geometric parameters of the linear motor with two design objectives using design of experiments and sequential response surface method.

Efficient Response Surface Modeling using Sensitivity (민감도를 이용한 효율적인 반응표면모델생성)

  • Wang, Se-Myung;Kim, Chwa-Il
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1882-1887
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    • 2003
  • The response surface method (RSM) became one of famous meta modeling techniques, however its approximation errors give designers several restrictions. Classical RSM uses the least squares method (LSM) to find the best fitting approximation models from the all given data. This paper discusses how to construct RSM efficiently and accurately using moving least squares method (MLSM) with sensitivity information. In this method, several parameters should be determined during the construction of RSM. Parametric study and optimization for these parameters are performed. Several difficulties during approximation processes are described and numerical examples are demonstrated to verify the efficiency of this method.

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Optimum Design on Reduction of Torque Ripple for a Synchronous Reluctance Motor with Concentrated Winding using Response Surface Methodology (반응표면법을 이용한 집중권선 동기 릴럭턴스 전동기의 토크 리플 저감에 관한 최적설계)

  • Park Seong-June;Lee Jung-Ho
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.55 no.2
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    • pp.69-75
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    • 2006
  • This paper deals with the optimum design solution on reduction of torque ripple for a Synchronous Reluctance Motor with concentrated winding using response surface methodology. The coupled Finite Elements Analysis (FEA) & Preisach model have been used to evaluate the nonlinear solution. Comparisons are given with characteristics of a SynRM according to the stator winding, slot number, open width of slot, slot depth, teeth width variation in concentrated winding SynRM, respectively. This paper presents an optimization procedure using Response Surface Methodology (RSM) to determine design parameters for reducing torque ripple. RSM has been achieved to use the experimental design method in combination with finite Element Method (FEM) and well adapted to make analytical model for a complex problem considering a lot of interaction of design variables. Moreover, Sequential Quadratic Problem (SQP) method is used to solve the resulting of constrained nonlinear optimization problem.

Single Phase Switched Reluctance Motor Optimum Design Using Response Surface Methodology and Finite Element Method (반응표면법과 유한요소법을 이용한 단상 스위치드 릴럭턴스 전동기의 최적 설계)

  • Lim, Seung-Bin;Choi, Jae-Hak;Park, Jae-Bum;Son, Yeoung-Gyu;Lee, Ju
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.55 no.12
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    • pp.596-607
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    • 2006
  • This paper presents Single Phase Switched Reluctance Motor (SPSRM) optimum design for vacuum cleaners using Response Surface Methodology (RSM) to determine geometric parameters, and the 2-D Finite Element Method (FEM) has been coupled with the circuit equations of the driving converter. Additionally, an optimum process for SPSRM has been proposed and peformed with geometric and electric parameters thereby influencing the inductance variation and effective torque generation as design variables. SPSRM performances have also been analyzed to determine an optimal design model for maximized efficiency at high power factor. In order to confirm the propriety of the Finite Element Method and motor performance calculation, simulation waveform and experiment waveform for motor voltage and current were compared.

Design Optimization of Pin-Fin Sharp to Enhance Heat Transfer

  • Li, Ping;Kim, Kwang-Yong
    • 유체기계공업학회:학술대회논문집
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    • 2005.12a
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    • pp.185-190
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    • 2005
  • This work presents a numerical procedure to optimize the elliptic-shaped pin fin arrays to enhance turbulent heat transfer. The response surface method is used as an optimization technique with Reynolds-averaged Navier Stokes analysis of flow and heat transfer. Shear stress transport (SST) turbulence model is used as a turbulence closure. Computational results for average heat transfer rate show a reasonable agreement with the experimental data. Four variables including major axis length, minor axis length, pitch and the pin fin length nondimensionalized by duct height are chosen as design variables. The objective function is defined as a linear combination of heat transfer and friction-loss related terms with weighting factor. D-optimal design is used to reduce the data points, and, with only 28 points, reliable response surface is obtained. Optimum shapes of the pin-fin arrays have been obtained in the range from 0.0 to 0.1 of weighting factor.

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A Study on Centrifugal Compressor Design Optimization for Increasing Surge Margin (서지 마진 증가를 고려한 원심 압축기 설계 최적화)

  • Chai, Jae-Ha
    • The KSFM Journal of Fluid Machinery
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    • v.11 no.2
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    • pp.38-45
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    • 2008
  • This study presents a numerical procedure to optimize the compressor design to increase the surge margin of compressor with response surface method (RSM). The Box-Behnken design method is used to reduce the number of calculation for fitting the second-order response surface. In order to consider the increase of surge margin during numerical optimization without any calculation at the surge point, the slope of compressor characteristic curve at the design point is suggested as an objective function in the present optimization problem. Mean line performance analysis method is used to get the design and off-design characteristic curves of centrifugal compressor. The impeller exit angle, impeller exit height and impeller radius are chosen as design variables. The optimum shapes show the increase of surge margin for the surge margin optimization and increase of efficiency for the efficiency optimization in comparison with an initial shape.

Optimizing Conditions for the Growth and Bacteriocin Production of Lactococcus sp.HY 449 Usin Response Surface Methodology (반응표면 분석에 의한 Lactococcus sp. HY 449의 성장 및 Bacteriocin 생산의 최적화)

  • Kim, Sang-Kyo;Oh, Se-Jong;Lee, Sang-Jun;Baek, Young-Jin;Park, Yun-Hee
    • Microbiology and Biotechnology Letters
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    • v.22 no.5
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    • pp.522-530
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    • 1994
  • Bacteriocin-producing lactic acid bacteria, Lactococcus sp. HY 449, was isolated from dairy products. Using response surface methodology, the various concentrations of medium compo- nents (tryptone, glucose, yeast extract, tween 80, and initial pH) were tested to find the optimum conditions for maximum bacteriocin production and growth of Lactococcus sp. HY 449. Central composite design was used to control the concentrations of medium components in the experiment. Bacteriocin production and cell growth of Lactococcus sp. HY 449 were most affected by glucose and yeast extract. Estimated optimum growth conditions of Lactococcus sp. HY 449 were as follows; tryptone 1.08%, glucose 1.129%, yeast extract 0.674%, tween 80 0.11%, and initial pH 7.19. Also estimated optimum conditions for bacteriocin production were tryptone 0.937%, glucose 1.108%, yeast extract 0.163%, tween 80 0.09%, and initial pH 6.98.

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MEASURES FOR STABILITY OF SLOPE ESTIMATION ON THE SECOND ORDER RESPONSE SURFACE AND EQUALLY-STABLE SLOPE ROTATABILITY

  • Park, Sung H.;Kang, Ho-Seog;Kang, Kee-Hoon
    • Journal of the Korean Statistical Society
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    • v.32 no.4
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    • pp.337-357
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    • 2003
  • This paper introduces new measures for the stability of slope estimation on the second order response surface at a point and on a sphere. As a measure of point stability of slope estimation, we suggest a point dispersion measure of slope variances over all directions at a point. A spherical dispersion measure is also proposed as a measure of spherical stability of slope estimation on each sphere. Some designs are studied to explore the usefulness of the proposed measures. Using the point dispersion measure, another concept of slope rotatability called equally-stable slope rotatability is proposed as a useful property of response surface designs. We provide a set of conditions for a design to have equally-stable slope rotatability.

SLOPE ROTATABLE DESIGNS FOR SECOND ORDER RESPONSE SURFACE MODELS WITH BLOCK EFFECTS

  • Park, Sung-Hyun;Park, Bong-Gyun;Park, Hee-Jin
    • Journal of the Korean Statistical Society
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    • v.36 no.1
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    • pp.157-173
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    • 2007
  • In this article it is considered that how the slope-rotatability property of a second order design for response surface model is affected by block effects and how the design points are assigned into the blocks so that the blocked design may have the property of slope-rotatability. If an unblocked design is blocked properly, it could be a slope-rotatable design with block effects and this property is named as block slope-rotatability. We approach this problem from the moment matrix of the blocked design, which plays an important role to get the variances of the estimates, and suggest conditions of block slope-rotatability.