• Title/Summary/Keyword: Response Surface method

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Quantification of nonlinear seismic response of rectangular liquid tank

  • Nayak, Santosh Kumar;Biswal, Kishore Chandra
    • Structural Engineering and Mechanics
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    • v.47 no.5
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    • pp.599-622
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    • 2013
  • Seismic response of two dimensional liquid tanks is numerically simulated using fully nonlinear velocity potential theory. Galerkin-weighted-residual based finite element method is used for solving the governing Laplace equation with fully nonlinear free surface boundary conditions and also for velocity recovery. Based on mixed Eulerian-Lagrangian (MEL) method, fourth order explicit Runge-Kutta scheme is used for time integration of free surface boundary conditions. A cubic-spline fitted regridding technique is used at every time step to eliminate possible numerical instabilities on account of Lagrangian node induced mesh distortion. An artificial surface damping term is used which mimics the viscosity induced damping and brings in numerical stability. Four earthquake motions have been suitably selected to study the effect of frequency content on the dynamic response of tank-liquid system. The nonlinear seismic response vis-a-vis linear response of rectangular liquid tank has been studied. The impulsive and convective components of hydrodynamic forces, e.g., base shear, overturning base moment and pressure distribution on tank-wall are quantified. It is observed that the convective response of tank-liquid system is very much sensitive to the frequency content of the ground motion. Such sensitivity is more pronounced in shallow tanks.

Loading Path Optimization in Aluminum Tube Hydroforming using Response Surface Method (반응표면법을 이용한 알루미늄 튜브 하이드로포밍의 하중경로 최적화)

  • Lim, H.T.;Kim, H.J.;Kim, H.Y.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2007.05a
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    • pp.314-317
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    • 2007
  • Automotive rear subframe of aluminum tube was developed by using hydroforming process, based on the numerical analysis and physical tryouts. In the previous study, the effect of prebending was evaluated on the basis of forming limit diagram which had been obtained from free bulging, T-shape forming and cross-shape forming, using the developed tube hydroformability testing system. In order to get the sound products, appropriate internal pressure is to be imposed corresponding to the axial feeding. In this study, the loading path, the combination of internal pressure and axial feeding during the process, was optimized to ensure minimum thickness variation and dimensional accuracy, by using response surface method.

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Optimal Shape of a Parallel-Flow Heat Exchanger by Using a Response Surface Method (반응표면법을 이용한 평행류 열교환기의 형상 최적화)

  • Oh, Seok-Jin;Lee, Kwan-Soo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.3
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    • pp.296-303
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    • 2004
  • The heat and flow characteristics in a single-phase parallel-flow heat exchanger was examined numerically to obtain its optimal shape. A response surface method was introduced to approximately predict its performance with respect to the design parameters over the design domain. The inflow/outflow angle of the working fluid, the location of inlet/outlet, the protruding height of flat tube and the height of header were chosen as a design parameter The evaluation of the relative importance of the design parameters was performed based on a sensitivity analysis. An efficiency index was used as an evaluation characteristics value to simultaneously consider both the heat transfer and the pressure drop. The efficiency index of the optimum model, compared to that of the base model, was increased by 9.3%.

A Multi-Point Design Optimization of a Space Launcher Nose Shapes Using Response Surface Method (반응면 기법을 이용한 발사체 선두부 다점 최적설계)

  • Kim Sang-Jin;Seon Yong-Hee;Lee Jae-Woo;Byun Yung-Hwan
    • 한국전산유체공학회:학술대회논문집
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    • 2000.10a
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    • pp.46-53
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    • 2000
  • To improve the performance at all design points, multi-point optimization method is implemented for the nose fairing shape design of space launcher. The response surface method is used to effectively reduce the huge computational loads during the optimization process. The drag is selected as the objective function, and the surface heat transfer characteristics, and the internal volume of the nose fairing ate considered as design constraints. Full Wavier-Stokes equations are selected as governing equations. Two points drag minimization, and two points drag / heat flux optimization were successfully performed and configurations which have good performance for the wide operation range were derived. By considering three design points, the space launcher shape which undergoes the least drag during whole flight mission was designed. For all the design cases, the constructed response surfaces show good confidence level with only 23 design points with the proper stretching of the design space.

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QUALITY IMPROVEMENT FOR BRAKE JUDDER USING DESIGN FOR SIX SIGMA WITH RESPONSE SURFACE METHOD AND SIGMA BASED ROBUST DESIGN

  • Kim, H.-S.;Kim, C.-B.;Yim, H.-J.
    • International Journal of Automotive Technology
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    • v.4 no.4
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    • pp.193-201
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    • 2003
  • The problem of brake judder is typically caused by defects of quality manufacturing. DFSS (Design for six sigma) is a design process for quality improvement. DFSS will result in more improved but less expensive quality products. This paper presents an implementation of DFSS for quality improvement of the brake judder of heavy-duty trucks. Carrying out 5 steps of DFSS, the major reasons for defects of quality are found. The numerical approximation of the brake system is derived by means of the response surface method. Its quality for brake judder is improved by using the sigma based robust design methodology. Results are compared between the conventional deterministic optimal design and the proposed sigma based robust design. The proposed one shows that manufacturing cost may increase as the quality level increase. The proposed one, however, is more economical in aspect of the overall cost since the probability of failure dramatically goes down.

Design of the Bead Force and Die Shape in Sheet Metal Forming Processes Using a Rigid-plastic Finite Element Method and Response Surface Methodology (강소성 유한요소법과 반응표면분석법을 이용한 박판성헝 공정에서의 비드력 및 다이형상의 설계)

  • Kim, S.H.;Huh, H.
    • Transactions of Materials Processing
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    • v.9 no.3
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    • pp.284-292
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    • 2000
  • Optimization of the process parameters is carried out for process design in sheet metal forming processes. The scheme incorporates with a rigid-plastic finite element method for the deformation analysis and response surface methodology for the optimum searching of process parameters. The algorithm developed is applied to design of the draw bead force and the die radius in deep drawing processes of rectangular cups. The present algorithm shows the capability of designing process parameters which enable the prevention of the weak part of fracture during processes.

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Design Optimization of the Air Nozzle System in the Automatic Car Wash Machine Using Response Surface Method (반응표면기법을 이용한 자동세차기 노즐시스케의 최적설계)

  • Choi, Young-Seok;Kim, Sung;Kim, Seon-Chang
    • 유체기계공업학회:학술대회논문집
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    • 2006.08a
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    • pp.357-360
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    • 2006
  • In the present study, the air jet flow characteristics of the dryer in the automatic car wash machine were numerically predicted by commercial CFD code. The effects of the dryer shape and the nozzle width variations on the performance of the automatic car wash machine were discussed. To optimize the geometric parameters, the response surface method(RSM) with CFD was used. Predicted jet velocity distributions for the optimized geometry were compared with experimental data and the comparisons show generally good agreements. Also, the performance of the dryer was improved with the optimized results.

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Reliability-Based Optimal Design of Pillar Sections Considering Fundamental Vibration Modes of Vehicle Body Structure (차체 기본 진동 모드를 고려한 필러 단면의 신뢰성 최적설계)

  • Lee Sang Beom;Yim Hong Jae
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.13 no.6
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    • pp.107-113
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    • 2004
  • This paper presents the pillar section optimization technique considering the reliability of the vehicle body structure consisted of complicated thin-walled panels. The response surface method is utilized to obtain the response surface models that describe the approximate performance functions representing the system characteristics on the section properties of the pillar and on the mass and the natural frequencies of the vehicle B.I.W. The reliability-based design optimization on the pillar sections Is performed and compared with the conventional deterministic optimization. The FORM is applied for the reliability analysis of the vehicle body structure. The developed optimization system is applied to the pillar section design considering the fundamental natural frequencies of passenger car body structure. By applying the proposed RBDO technique, it can be possible to optimize the pillar sections considering the reliability that engineers require.

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.

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.