• Title/Summary/Keyword: Response surface

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Robust Design of Mechanisms Using the Response Surface Analysis (반응표면 분석법을 이용한 기구의 강건설계)

  • Han, Hyung-Suk;Park, Tae-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.10
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    • pp.56-61
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    • 1996
  • In this study a method for a robust design of mechanisms is proposed. The method used in the experimental analysis and quality engineering is applied for mechanisms design. A mathematical model for a mechanism is estimated by the response surface analysis and the estimated model is used in minimization of the variance. Using this result, robust design can be carried out. The method can be applied for general mechansims. Furthermore because the method can be used in the design stage using the computer model, improved quality and lower cost of the product is achieved even in the design stage.

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Optimization of Spirulina Madeleine Using Response Surface Methodology (반응표면 분석법을 이용한 스피루리나 첨가 마들렌 제조의 최적화)

  • Kim, Min-Hee;Kim, Hye-Jeong;Kim, Mi-Yeon;Kim, Mee-Ree
    • Journal of the Korean Society of Food Culture
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    • v.23 no.6
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    • pp.761-770
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    • 2008
  • The purpose of this study was to determine the optimum amount of four ingredients (spirulina, sugar, lemon and orange) for the preparation of spirulina madeleine using response surface methodology. Spirulina was added at a level of 3.5-6.0 g, sugar powder, at 40-60 g, while lemon and orange peel were included at a level of 0-8 g. The optimum mixing rates of spirulina powder, sugar powder, lemon and orange were 3.5, 40, 0, and 8 g for overall quality and 3.52, 54.42, 0, and 8 g for maximum score of overall organoleptic quality, respectively.

A Study on the Properties of Foamed Concrete with Plaster Using the Experimental Design (실험계획법을 이용한 석고 혼입 기포콘크리트의 특성에 관한 연구)

  • Lee, Sang-An;Kim, Wha-Jung;Yoon, Sang-Chun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.17 no.6
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    • pp.130-137
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    • 2013
  • This research was performed through the experimental design to get the statistical analysis on foamed concrete mixed plaster with hydrogen peroxide. In this experiment, we set the ratio of each material, which part of lightweight concrete, as experimental factors and evaluated on the mechanical properties by statistical analysis for response variables obtained from experiments. Experimental factors are plaster replacement, water binder ratio, and hydrogen peroxide ratio. Response variables are dry density, compressive strength, and flexural strength. Mixing design of the foamed concrete set up a total of 15 experimental points by Box-Behnken (BB) method of the response surface analysis. Thus, the results of a study were summarized as follows. Values of the probability in experimental factors (plaster replacement, water binder ratio and hydrogen peroxide ratio) on the response variables were estimated to be significant at the 95% of confidence limit. On response surface analysis for dry density of foamed concrete, water binder ratio and hydrogen peroxide ratio were estimated to be significant (${\alpha}$ = 0.05), and the relationship between the amount of void and the water content for dry density is inverse proportional. On response surface analysis for the compressive strength of foamed concrete, water binder ratio, hydrogen peroxide ratio and (hydrogen peroxide ratio)$^2$ was estimated to be significant (${\alpha}$ = 0.05). On response surface analysis for the flexural strength of foamed concrete, water binder ratio, hydrogen peroxide ratio was estimated to be significant (${\alpha}$ = 0.05). Through multi response surface analysis, we found the optimal area that meets performance goals.

Dynamic analysis of nanoscale beams including surface stress effects

  • Youcef, Djamel Ould;Kaci, Abdelhakim;Benzair, Abdelnour;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed
    • Smart Structures and Systems
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    • v.21 no.1
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    • pp.65-74
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    • 2018
  • In this article, an analytic non-classical model for the free vibrations of nanobeams accounting for surface stress effects is developed. The classical continuum mechanics fails to capture the surface energy effects and hence is not directly applicable at nanoscale. A general beam model based on Gurtin-Murdoch continuum surface elasticity theory is developed for the analysis of thin and thick beams. Thus, surface energy has a significant effect on the response of nanoscale structures, and is associated with their size-dependent behavior. To check the validity of the present analytic solution, the numerical results are compared with those obtained in the scientific literature. The influences of beam thickness, surface density, surface residual stress and surface elastic constants on the natural frequencies of nanobeams are also investigated. It is indicated that the effect of surface stress on the vibrational response of a nanobeam is dependent on its aspect ratio and thickness.

Robust Parameter Design Based on Back Propagation Neural Network (인공신경망을 이용한 로버스트설계에 관한 연구)

  • Arungpadang, Tritiya R.;Kim, Young Jin
    • Korean Management Science Review
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    • v.29 no.3
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    • pp.81-89
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    • 2012
  • Since introduced by Vining and Myers in 1990, the concept of dual response approach based on response surface methodology has widely been investigated and adopted for the purpose of robust design. Separately estimating mean and variance responses, dual response approach may take advantages of optimization modeling for finding optimum settings of input factors. Explicitly assuming functional relationship between responses and input factors, however, it may not work well enough especially when the behavior of responses are poorly represented. A sufficient number of experimentations are required to improve the precision of estimations. This study proposes an alternative to dual response approach in which additional experiments are not required. An artificial neural network has been applied to model relationships between responses and input factors. Mean and variance responses correspond to output nodes while input factors are used for input nodes. Training, validating, and testing a neural network with empirical process data, an artificial data based on the neural network may be generated and used to estimate response functions without performing real experimentations. A drug formulation example from pharmaceutical industry has been investigated to demonstrate the procedures and applicability of the proposed approach.

Optimization of Triple Response Systems by Using the Dual Response Approach and the Hooke-Jeeves Search Method

  • Fan, Shu-Kai S.;Huang, Chia-Fen;Chang, Ko-Wei;Chuang, Yu-Chiang
    • Industrial Engineering and Management Systems
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    • v.9 no.1
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    • pp.10-19
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    • 2010
  • This paper presents an extended computing procedure for the global optimization of the triple response system (TRS) where the response functions are nonconvex (nonconcave) quadratics and the input factors satisfy a radial region of interest. The TRS arising from response surface modeling can be approximated using a nonlinear mathematical program involving one primary (objective) function and two secondary (constraints) functions. An optimization algorithm named triple response surface algorithm (TRSALG) is proposed to determine the global optimum for the nondegenerate TRS. In TRSALG, the Lagrange multipliers of target (secondary) functions are computed by using the Hooke-Jeeves search method, and the Lagrange multiplier of the radial constraint is located by using the trust region (TR) method at the same time. To ensure global optimality that can be attained by TRSALG, included is the means for detecting the degenerate case. In the field of numerical optimization, as the family of TR approach always exhibits excellent mathematical properties during optimization steps, thus the proposed algorithm can guarantee the global optimal solution where the optimality conditions are satisfied for the nondegenerate TRS. The computing procedure is illustrated in terms of examples found in the quality literature where the comparison results with a gradient-based method are used to calibrate TRSALG.

Extraction of quasi-static component from vehicle-induced dynamic response using improved variational mode decomposition

  • Zhiwei Chen;Long Zhao;Yigui Zhou;Wen-Yu He;Wei-Xin Ren
    • Smart Structures and Systems
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    • v.31 no.2
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    • pp.155-169
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    • 2023
  • The quasi-static component of the moving vehicle-induced dynamic response is promising in damage detection as it is sensitive to bridge damage but insensitive to environmental changes. However, accurate extraction of quasi-static component from the dynamic response is challenging especially when the vehicle velocity is high. This paper proposes an adaptive quasi-static component extraction method based on the modified variational mode decomposition (VMD) algorithm. Firstly the analytical solutions of the frequency components caused by road surface roughness, high-frequency dynamic components controlled by bridge natural frequency and quasi-static components in the vehicle-induced bridge response are derived. Then a modified VMD algorithm based on particle swarm algorithm (PSO) and mutual information entropy (MIE) criterion is proposed to adaptively extract the quasi-static components from the vehicle-induced bridge dynamic response. Numerical simulations and real bridge tests are conducted to demonstrate the feasibility of the proposed extraction method. The results indicate that the improved VMD algorithm could extract the quasi-static component of the vehicle-induced bridge dynamic response with high accuracy in the presence of the road surface roughness and measurement noise.

A Study on Electro-optical Characteristics of the Photoaligned VA-LCD on the Polynobornene Derivative Surface (Polynobornene 유도체 표면을 이용한 광배향 VA-LCD의 전기광학특성에 관한 연구)

  • 황정연;서대식;박경선;서동학;남상희
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.15 no.3
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    • pp.253-257
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    • 2002
  • A new photoalignment material PNC, pole norbornene-2,3-dicarboxyolyl cholesterol, was synthesized and the electro-optical (EO) characteristics of the vortical-alignment (VA) liquid crystal display (LCD) photoaligned with UV exposure on the PNC surface were studied. EO characteristics of the photoaligned VA-LCD using a UV filter-less method was better than that of the UV filter method on the PNC surface for short UV exposure time. The response time of the photoaligned VA-LCD on the PNC surface without UV filter on the PNC surface is almost the same compared with the rubbing aligned VA-LCD.

A Study on Electro-Optical Characteristics of the Ion Beam Aligned TN Cell on the DLC Thin Film (DLC 박막을 이용한 Ion Beam 배향 TN 셀의 전기광학특성에 관한 연구)

  • 황정연;조용민;노순준;이대규;백홍구;서대식
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.15 no.8
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    • pp.726-730
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    • 2002
  • Electro-optical (EO) performances of the ion beam (IB) aligned twisted-nematic (TN)-liquid crystal display (LCD) with ion beam exposure on the new diamond-like carbon (DLC) thin film surface were investigated. A good voltage-transmittance (V-T) curve of the ion beam aligned TN-LCD with oblique ion beam exposure on the DLC thin film surface for 1 min was observed. Also, the fast response time of the ion beam aligned TN-LCD with oblique ion beam exposure on the DLC thin film surface for 1 min can be achieved. Finally, the residual DC voltage of the ion beam aligned TN-LCD on the DLC thin film surface is almost the same as that of the rubbing aligned TN-LCD on a polyimide (Pl) surface.

Optimization of a geometric form and cutting conditions of a metal slitting saw by experimental method (실험적 방법을 통한 Metal slitting saw의 형상 및 절삭 조건의 최적화)

  • 정경득;고태조;김희술
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.05a
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    • pp.934-938
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    • 2000
  • Built-up edge affects the surface integrity of the machined surface and tool wear. Tool geometry and cutting conditions are very important factors to remove BUE. In this paper, we optimized the geometry of the metal slitting saw .1nd cutting conditions to remove BUE by the experiment. In general, the metal slitting saw is plain milling cutter with thickness less of a 3/16 inch. This is used for cutting workpiece where high dimensional accuracy and surface finish are necessary. The experiment was planned with Taguchi method that is based on the orthogonal array of design factors(coating, rake angle, number of tooth, cutting speed, feed rate). Response table was made by the value of the surface roughness, the optimized tool geometry and cutting conditions through response table could be determined. In addition. the relative effect of factors were identified by the variance analysis. filially. coating and cutting speed turned out important factors.

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