• 제목/요약/키워드: Response surface analysis

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An efficient response surface method considering the nonlinear trend of the actual limit state

  • Zhao, Weitao;Qiu, Zhiping;Yang, Yi
    • Structural Engineering and Mechanics
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    • 제47권1호
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    • pp.45-58
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    • 2013
  • In structural reliability analysis, the response surface method is a powerful method to evaluate the probability of failure. However, the location of experimental points used to form a response surface function must be selected in a judicious way. It is necessary for the highly nonlinear limit state functions to consider the design point and the nonlinear trend of the limit state, because both of them influence the probability of failure. In this paper, in order to approximate the actual limit state more accurately, experimental points are selected close to the design point and the actual limit state, and consider the nonlinear trend of the limit state. Linear, quadratic and cubic polynomials without mixed terms are utilized to approximate the actual limit state. The direct Monte Carlo simulation on the approximated limit state is carried out to determine the probability of failure. Four examples are given to demonstrate the efficiency and the accuracy of the proposed method for both numerical and implicit limit states.

반응면 기법을 이용한 천음속 축류압축기의 삼차원 형상 최적설계 (Design Optimization of An Axial-Flow Compressor Rotor Using Response Surface Method)

  • 안찬솔;김광용
    • 대한기계학회논문집B
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    • 제27권2호
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    • pp.155-162
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    • 2003
  • Design optimization of a transonic compressor rotor (NASA rotor 37) using response surface method and three-dimensional Navier-Stokes analysis has been carried out in this work. Baldwin-Lomax turbulence model was used in the flow analysis. Three design variables were selected to optimize the stacking line of the blade. Data points for response evaluations were selected by D-optimal design, and linear programming method was used for the optimization on the response surface. As a main result of the optimization, adiabatic efficiency was successfully improved. It is also found that the design process provides reliable design of a turbomachinery blade with reasonable computing time.

반응표면(反應表面) 분석(分析)을 위한 실험계획(實驗計劃)과 그 응용(鷹用) 통계적(統計的) 모형(模型)의 최적화수법론(最適化手法論)을 중심으로 (Application of Analysis of Response Surface and Experimental Designs ; Optimization Methodology of Statistical Model)

  • 이명주
    • 품질경영학회지
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    • 제7권2호
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    • pp.22-28
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    • 1979
  • The problem considered in this paper is to select the vital factor effect to the product quality through the experimental design and analysis of response surface, so as to control the quality improvement of industrial product. In this time, even through the mathematical model is unknown it could be applicable to control the quality of industrial products and to determine optimum operating condition for many technical fields, particulary, for industrial manufacturing process. When a set of data is available from an experimental design, it is often of interest 1:0 fit polynominal repression model in independent variables (eg, time, temperature, pressure, etc) the optimize the response variable (eg. yield, strength etc). This paper proposes a method known to obtain the optimum operating condition, and how to find the condition by using table of orthogonal array experiments, and optimization methodology of statistical model. A criterion can be applied determining to optimum operating conditions in manufacturing industry and improving the fit of response surface which may be used for prediction of responses and quality control of industrial products.

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아라미드 종이의 특성에 대한 표면 개질 과정 조건의 영향 (Effect of Surface Modification Process Conditions on Properties of Aramid Paper)

  • Sha, Lizheng;Zhao, Huifang
    • 폴리머
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    • 제37권2호
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    • pp.196-203
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    • 2013
  • Surface modification of meta-aramid fibers was performed by phosphoric acid treatment. Surface morphology and element composition of untreated and treated fibers were analyzed by scanning electron microscope (SEM) and X-ray photoelectron spectroscopy (XPS). Effects of surface modification on the mechanical strength of aramid papers made from meta-aramid fibers and fibrid were investigated. Surface modification conditions were optimized by response surface analysis (RSA). Results show that phosphoric acid treatment increases the surface roughness and oxygen content of aramid fibers. They improve the interface bonding strength between aramid fibers and fibrid, which improves the tensile strength of aramid papers. The results of response surface analysis indicate that the tensile strength of aramid papers increases by 47.5% and reaches the maximum when meta-aramid fibers are treated with 21.1wt% phosphoric acid solution at $39.3^{\circ}C$ for 36.7 min.

반응면 기법을 이용한 적층복합재료판의 신뢰성해석 (Reliability Analysis of laminated Composite Panel using Response Surface Method)

  • 방제성;김용협
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 추계학술발표대회 논문집
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    • pp.187-190
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    • 2001
  • Response surface method is applied to evaluate the reliability of laminated composite panels. Since the linear and nonlinear first-ply failure load are computed using deterministic finite element analysis, new probabilistic finite element analysis is not necessary. Tsai-Wu criterion is used to construct the limit state suface. Material properties, layer thickness and lamina strengths of laminated composite panel are treated as random design variables. feasibility and accuracy of current method is validated using Monte-Carlo method Which perform thousand times of finite element analysis directly.

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반응표면분석법을 이용한 VTR Deck 캠의 최적형상 설계 (Optimum Cam Profile Design of VTR Deck Using the Response Stuface Analysis)

  • 한형석;안형진;박태원
    • 대한기계학회논문집A
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    • 제20권3호
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    • pp.788-795
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    • 1996
  • In this paper, and optimum profile of a cam being used in a VTR Deck mechanism is designed by the response surface analysis. The objective function of the design is to reduce driving torque of the pinch roller system that is used to compress video tape to the capstan motor axia. The pinch roller system that will be designed is modeled using the general purpopse mechanism analysis program DADS. The computer model is compared with the physical system for reliability. A model function to represent relationship between design variables and the objective function is estimated by the response surface analysis. Once the model function is reliably estimated the optimal design is carried out using the model function and each design variable's boundaries. To verify improvement of the pinch roller system, a prototype for the pinch rooler system is made and tested. From the test result, an optimum cam profile to resuce driving torque of the pinch roller system is verified.

Optimization of Tri-enzyme Extraction Procedures for the Microbiological Assay of Folate in Red Kidney Bean and Roasted Peanut Using Response Surface Methodology

  • Choi, Young-Min;Eitenmiller, Ronald R.;Kim, Seon-Hee;Lee, Jun-Soo
    • Food Science and Biotechnology
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    • 제18권1호
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    • pp.31-35
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    • 2009
  • Total folate content was determined by microbiological assay using Lactobacillus casei spp. rhamnosis (ATCC 7469) with a 96-well microplate technique. Using roasted peanut and red kidney beans as representative legume samples, response surface methodology (RSM) was supplied to optimize the trienzyme procedures for the determination of folate in legumes. After response surface regression (RSREG), the second-order polynomial equation was fitted to the experimental data. Ridge analysis showed that the optimal digestion times were <2 hr for $Pronase^{(R)}$ and $\alpha$-amylase, and <5 hr for conjugase to obtain maximal folate values for legume samples. This study confirms that established digestion times for cereal products (AOAC Method 2004.05) of 3 for protease and 2 hr for $\alpha$-amylase are applicable to legumes. Conjugase treatment can be reduced to 5 from 16 hr and the conjugase level to 5 from 20 mg per sample, providing significant cost saving.

반응표면분석법을 이용한 가압성형 보드의 최적 배합비 산정 (Optimization of Mixing Proportion of Press-forming Board by Response Surface Methodology)

  • 이준철;김진성;이보경;최형길
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2019년도 춘계 학술논문 발표대회
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    • pp.182-183
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    • 2019
  • In this study, the optimization of mixing proportion of press-forming board with blast furnace slag, pearlite and bottom ash was investigated using the response surface methodology. Ten Mixing proportions of specimens were designed by the response surface design, and then flexural failure load, moisture content and water absorption of specimens were measured. As a result of the reaction surface analysis based on the experimental results, it was possible to derive the optimal mixing proportion with the satisfaction of 93%.

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

  • 이상안;김화중;윤상천
    • 한국구조물진단유지관리공학회 논문집
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    • 제17권6호
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    • pp.130-137
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    • 2013
  • 본 연구는 실험계획법을 통하여 과산화수소로 발포된 석고 혼입 경량기포콘크리트로 통계적 분석을 실시하였다. 본 실험에서는 경량기포콘크리트를 구성하는 각 재료의 혼합비율을 실험인자로 설정하고, 실험을 통해 얻어진 반응변수에 대한 통계적 분석으로 역학적 특성을 평가 하였다. 실험인자는 석고혼입율, 물결합재비 및 발포제첨가비 이며, 반응변수는 겉보기밀도, 압축강도, 휨강도이다. 경량기포콘크리트의 배합은 반응표면설계의 Box-Behnken (B-B)계획법에 의해 총 15회의 실험점을 설정하였다. 본 연구결과 다음과 같은 결론을 얻었다. 반응변수에 대한 각 설명인자 (석고혼입율, 물결합재비, 발포제첨가비)의 유의확률값은 유의수준 ${\alpha}$=0.05에서 유의한 것으로 추정되었다. 경량기포콘크리트의 겉보기밀도에 대한 반응표면 분석 결과, 물결합재비 와 발포제첨가비만 유의 (${\alpha}$=0.05)한 것으로 추정되었으며, 겉보기밀도와 기포량 및 함수율과의 관계는 반비례함을 확인 알 수 있었다. 경량기포콘크리트의 압축강도에 대한 반응표면 분석 결과, 물결합재비, 발포제첨가비 및 발포제첨가비의 제곱항이 유의 (${\alpha}$=0.05)한 것으로 추정되었다. 경량기포콘크리트의 휨강도에 대한 반응표면 분석 결과, 물결합재비 와 발포제첨가비만 유의 (${\alpha}$=0.05)한 것으로 추정되었다. 다중 반응 최적법을 통해 반응변수들의 목표값을 만족하는 최적조건 영역을 확인할 수 있었다.

원심압축기의 공력소음 저감에 관한 설계연구 Part II : 저소음 최적설계 (A Design Study of Aerodynamic Noise Reduction In Centrifugal Compressor Part II . Low-noise Optimization Design)

  • 선효성;이수갑
    • 한국소음진동공학회논문집
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    • 제14권10호
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    • pp.939-944
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    • 2004
  • The numerical methods including the performance analysis and the noise prediction of the centrifugal compressor impeller are coupled with the optimization design skill, which consists of response surface method, statistical approach, and genetic algorithm. The flow-field Inside of a centrifugal compressor is obtained numerically by solving Wavier-Stokes equations. and then the propagating noise is estimated from the distributed surface pressure by using Ffowcs Williams-Hawkings formulation. The quadratic response surface model with D-optimal 3-level factorial experimental design points is constructed to optimize the impeller geometry for the advanced centrifugal compressor. The statistical analysis shows that the quadratic model exhibits a reasonable fitting quality resulting in the impeller blade design with high performance and low far-field noise level. The influences of selected design variables, objective functions, and constraints on the impeller performance and the impeller noise are also examined as a result of the optimization process.