• Title/Summary/Keyword: Latin-hypercube design

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Tolerance Analysis and Optimization for a Lens System of a Mobile Phone Camera (휴대폰용 카메라 렌즈 시스템의 공차최적설계)

  • Jung, Sang-Jin;Choi, Dong-Hoon;Choi, Byung-Lyul;Kim, Ju-Ho
    • Korean Journal of Computational Design and Engineering
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    • v.16 no.6
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    • pp.397-406
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    • 2011
  • Since tolerance allocation in a mobile phone camera manufacturing process greatly affects production cost and reliability of optical performance, a systematic design methodology for allocating optimal tolerances is required. In this study, we proposed the tolerance optimization procedure for determining tolerances that minimize production cost while satisfying the reliability constraints on important optical performance indices. We employed Latin hypercube sampling for evaluating the reliabilities of optical performance and a function-based sequential approximate optimization technique that can reduce computational burden and well handle numerical noise in the tolerance optimization process. Using the suggested tolerance optimization approach, the optimal production cost was decreased by 30.3 % compared to the initial cost while satisfying the two constraints on the reliabilities of optical performance.

Tolerance Analysis and Design Improvement of a Lens System for Mobile Phone Camera (휴대폰용 카메라 모듈의 렌즈 시스템에 대한 공차 해석 및 설계 개선에 관한 연구)

  • Jung, Sang-Jin;Choi, Byung-Lyul;Choi, Dong-Hoon;Kim, Ju-Ho
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1063-1068
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    • 2008
  • A lens system of a camera module for mobile phones is comprised of the composition and design of various shapes of lens. To improve responses such as the modular transfer function (MTF), a lens system should always be constructed by considering uncertainty that can be caused by manufacturing and assembly error. In this study, tolerance optimization using the Latin Hypercube Sampling (LHS) technique is performed. In order to reduce the computational burden of the tolerance optimization process and decrease the influence from numerical noise effectively, we use the Progressive Quadratic Response Surface Modeling (PQRSM), which is one of Sequential Approximate Optimization (SAO) techniques. Using this method, we achieved optimal tolerance for each lens and obtained reliability for satisfying user‘s requirements. In addition, through the design process the manufacturing and assembly cost of a lens system was reduced.

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DESIGN OPTIMIZATION OF A STAGGERED DIMPLED CHANNEL TO ENHANCE TURBULENT HEAT TRANSFER (열전달성능 향상을 위한 엇갈린 딤플 유로의 최적설계)

  • Shin, D.Y.;Kim, K.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.159-162
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    • 2007
  • This study presents a numerical procedure to optimize the shape of a staggered dimpled surface to enhance the turbulent heat transfer in a rectangular channel. A optimization technique based on neural network is used with Reynolds-averaged Navier-Stakes analysis of the fluid flow and heat transfer with Shear Stress Transport turbulence model. The dimple depth-to-dimple print diameter ratio, channel height-to-dimple print diameter ratio, and dimple print diameter-to-pitch ratio are chosen as design variables. The objective function is defined as a linear combination of terms related to heat transfer and friction loss with a weighting factor. Latin Hypercube Sampling is used to determine the training points as a mean of the Design of Experiment. Optimal values of the design variables were obtained in a range of the weighting factor.

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Effect of Rocking Behavior of Isolated Nuclear Structures and Sampling Technique for Isolation-System Properties on Clearance-to-stop (면진 원전구조물의 전도거동과 면진시스템 특성에 대한 샘플링 기법이 정지거리에 미치는 영향)

  • Han, Min Soo;Hong, Kee Jeung;Cho, Sung Gook
    • Journal of the Earthquake Engineering Society of Korea
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    • v.19 no.6
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    • pp.293-302
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    • 2015
  • ASCE 4 requires that a hard stop be built around the seismic isolation system in nuclear power plants. In order to maintain the function of the isolation system, this hard stop is required to have clearance-to-stop, which should be no less than the 90th-percentile displacements for 150% Design Basis Earthquake (DBE) shaking. Huang et al. calculated clearance-to-stop by using a Latin Hypercube Sampling technique, without considering the rocking behavior of the isolated structure. This paper investigates the effects on estimation of clearance-to-stop due to 1) rocking behavior of the isolated structure and 2) sampling technique for considering the uncertainties of isolation system. This paper explains the simplified analysis model to consider the rocking behavior of the isolated structure, and the input earthquakes recorded at Diablo Canyon in the western United States. In order to more accurately approximate the distribution tail of the horizontal displacement in the isolated structure, a modified Latin Hypercube Sampling technique is proposed, and then this technique was applied to consider the uncertainty of the isolation system. Through the use of this technique, it was found that rocking behavior has no significant effect on horizontal displacement (and thus clearance-to-stop) of the isolated structure, and the modified Latin Hypercube Sampling technique more accurately approximates the distribution tail of the horizontal displacement than the existing Latin Hypercube Sampling technique.

Design Optimization of a Staggered Dimpled Channel Using Neural Network Techniques (신경회로망기법을 사용한 엇갈린 딤플 유로의 최적설계)

  • Shin, Dong-Yoon;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.10 no.3 s.42
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    • pp.39-46
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    • 2007
  • This study presents a numerical procedure to optimize the shape of staggered dimple surface to enhance turbulent heat transfer in a rectangular channel. The RBNN method is used as an optimization technique with Reynolds-averaged Navier-Stokes analysis of fluid flow and heat transfer with shear stress transport (SST) turbulence model. The dimple depth-to-dimple print diameter (d/D), channel height-to-dimple print diameter ratio (H/D), and dimple print diameter-to-pitch ratio (D/S) are chosen as design variables. The objective function is defined as a linear combination of heat transfer related term and friction loss related term with a weighting factor. Latin Hypercube Sampling (LHS) is used to determine the training points as a mean of the design of experiment. The optimum shape shows remarkable performance in comparison with a reference shape.

SHAPE OPTIMIZATION OF INTERNAL COOLING CHANNEL WITH STEPPED CIRCULAR PIN-FINS (단을 가진 원형 핀휜이 부착된 냉각유로의 형상 최적 설계)

  • Moon, M.A.;Kim, K.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.229-232
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    • 2008
  • This study presents a numerical procedure to optimize the shape of stepped circular pin-fins to enhance turbulent heat transfer. The KRG method is used as an optimization technique with Reynolds-averaged Navier-Stokes analysis of fluid flow and heat transfer with shear stress transport turbulent model. The objective function is defined as a linear combination of heat transfer and friction loss related terms with a weighting factor. Ten training points are obtained by Latin Hypercube Sampling for two design variables. Optimum shape has been successfully obtained with the increased objective function.

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SHAPE OPTIMIZATION OF INTERNAL COOLING CHANNEL WITH STEPPED CIRCULAR PIN-FINS (단을 가진 원형 핀휜이 부착된 냉각유로의 형상 최적 설계)

  • Moon, M.A.;Kim, K.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.229-232
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    • 2008
  • This study presents a numerical procedure to optimize the shape of stepped circular pin-fins to enhance turbulent heat transfer. The KRG method is used as an optimization technique with Reynolds-averaged Navier-Stokes analysis of fluid flow and heat transfer with shear stress transport turbulent model. The objective function is defined as a linear combination of heat transfer and friction loss related terms with a weighting factor. Ten training points are obtained by Latin Hypercube Sampling for two design variables. Optimum shape has been successfully obtained with the increased objective function.

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Design and Analysis of Computer Experiments with An Application to Quality Improvement (품질 향상에 적용되는 전산 실험의 계획과 분석)

  • Jung Wook Sim;Jeong Soo Park;Jong Sung Bae
    • The Korean Journal of Applied Statistics
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    • v.7 no.1
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    • pp.83-102
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    • 1994
  • Some optimal designs and data analysis methods based on a Gaussian spatial linear model for computer simulation experiments are considered. For designs of computer experiments, Latin-hypercube designs and some optimal designs are combined. A two-stage computational (2-points exchange and Newton-type) algorithm for finding the optimal Latin-hypercube design is presented. The spatial prediction model which was discussed by Sacks, Welch, Mitchell and Wynn(1989) for computer experiments, is used for analysis of the simulated data. Moreover, a method of contructing sequential (optimal) Latin-hypercube designs is considered. An application of this approach to the quality improvement and optimization of the integrated circuit design via the main-effects plot and the sequential experimental strategy is presented.

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Reliability Design using Asymptotic Variance of Inverse Cumulative Distribution Function (분위수의 점근적 분산을 이용한 신뢰성 설계)

  • Cho H.J.;Baek S.H.;Hong S.H.;Cho S.S.;Joo W.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.1682-1685
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    • 2005
  • System algorithms estimated by deterministic input may occur the error between predicted and actual output. Especially, actual system can't predict the exact outputs due to uncertainty and tolerance of input parameters. A single output to a set of inputs has a limited value without the variation. Hence, we should consider various scatters caused by the load assessment, material characteristics, stress analysis and manufacturing methods in order to perform the robust design or estimate the reliability of structure. The system design with uncertainty should perform the probabilistic structural optimization with the statistical response and the reliability. This method calculated the probability distributions of the characteristics such as stress by combining stress analysis, response surface methodology and Monte-Carlo Method and got the probabilistic sensitivity. The sensitivity of structural response with respect to inconstant design variables was estimated by fracture probability. Therefore, this paper proposed the probabilistic reliability design method for fracture of uncorved freight end beam and the design criteria by fracture probability.

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Robust optimization of a hybrid control system for wind-exposed tall buildings with uncertain mass distribution

  • Venanzi, Ilaria;Materazzi, Annibale Luigi
    • Smart Structures and Systems
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    • v.12 no.6
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    • pp.641-659
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    • 2013
  • In this paper is studied the influence of the uncertain mass distribution over the floors on the choice of the optimal parameters of a hybrid control system for tall buildings subjected to wind load. In particular, an optimization procedure is developed for the robust design of a hybrid control system that is based on an enhanced Monte Carlo simulation technique and the genetic algorithm. The large computational effort inherent in the use of a MC-based procedure is reduced by the employment of the Latin Hypercube Sampling. With reference to a tall building modeled as a multi degrees of freedom system, several numerical analyses are carried out varying the parameters influencing the floors' masses, like the coefficient of variation of the distribution and the correlation between the floors' masses. The procedure allows to obtain optimal designs of the control system that are robust with respect to the uncertainties on the distribution of the dead and live loads.