• Title/Summary/Keyword: Response Surface Approximation

Search Result 113, Processing Time 0.028 seconds

An Improved Reliability-Based Design Optimization using Moving Least Squares Approximation (이동최소자승근사법을 이용한 개선된 신뢰도 기반 최적설계)

  • Kang, Soo-Chang;Koh, Hyun-Moo
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.29 no.1A
    • /
    • pp.45-52
    • /
    • 2009
  • In conventional structural design, deterministic optimization which satisfies codified constraints is performed to ensure safety and maximize economical efficiency. However, uncertainties are inevitable due to the stochastic nature of structural materials and applied loads. Thus, deterministic optimization without considering these uncertainties could lead to unreliable design. Recently, there has been much research in reliability-based design optimization (RBDO) taking into consideration both the reliability and optimization. RBDO involves the evaluation of probabilistic constraint that can be estimated using the RIA (Reliability Index Approach) and the PMA(Performance Measure Approach). It is generally known that PMA is more stable and efficient than RIA. Despite the significant advancement in PMA, RBDO still requires large computation time for large-scale applications. In this paper, A new reliability-based design optimization (RBDO) method is presented to achieve the more stable and efficient algorithm. The idea of the new method is to integrate a response surface method (RSM) with PMA. For the approximation of a limit state equation, the moving least squares (MLS) method is used. Through a mathematical example and ten-bar truss problem, the proposed method shows better convergence and efficiency than other approaches.

Energy extraction from the motion of an oscillating water column

  • Wang, Hao;Falzarano, Jeffrey M.
    • Ocean Systems Engineering
    • /
    • v.3 no.4
    • /
    • pp.327-348
    • /
    • 2013
  • An Oscillating Water Column (OWC) is a relatively practical and convenient device that converts wave energy to a usable form, which is electricity. The OWC is kept inside a fixed truncated vertical cylinder, which is a hollow structure with one open end submerged in the water and with an air turbine at the top. This research adopts potential theory and Galerkin methods to solve the fluid motion inside the OWC. Using an air-water interaction model, OWC design for energy extraction from regular wave is also explored. The hydrodynamic coefficients of the scattering and radiation potentials are solved for using the Galerkin approximation. The numerical results for the free surface elevation have been verified by a series of experiments conducted in the University of New Orleans towing tank. The effect of varying geometric parameters on the response amplitude operator (RAO) of the OWC is studied and modification of the equation for evaluating the natural frequency of the OWC is made. Using the model of air-water interaction under certain wave parameters and OWC geometric parameters, a computer program is developed to calculate the energy output from the system.

A Study on the Performance Prediction of Marine System using Approximation Model (근사모델을 이용한 해양시스템 성능예측에 관한 연구)

  • Lee, Jae-chul;Shin, Sung-chul;Lee, Soon-Sub;Kang, Dong-hoon;Lee, Jong-Hyun
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.26 no.4
    • /
    • pp.286-294
    • /
    • 2016
  • In the initial design stage, the geometry of systems needs to be optimized regarding its performance. However, performance analysis is very time-consuming. Therefore, optimization becomes difficult/impossible problems because we need to evaluate the system performance for alternative design cases. To overcome this problem, many researchers perform prediction of system performance using the approximation model. The response surface method (RSM) is typically used to predict the system performance in the various research fields, but it presents prediction errors for highly nonlinear systems. The major objective of this paper is to propose a proper prediction method for marine system problems. Case studies of marine systems (the substructure of a floating offshore wind turbine considering hydrodynamic performance and bulk carrier bottom stiffened panels considering structure performance) verify that the proposed method is applicable to performance prediction in marine systems.

Theoretical Results for a Dipole Plasmonic Mode Based on a Forced Damped Harmonic Oscillator Model

  • Tongtong Hao;Quanshui Li
    • Current Optics and Photonics
    • /
    • v.7 no.4
    • /
    • pp.449-456
    • /
    • 2023
  • The localized surface-plasmon resonance has drawn great attention, due to its unique optical properties. In this work a general theoretical description of the dipole mode is proposed, using the forced damped harmonic oscillator model of free charges in an ellipsoid. The restoring force and driving force are derived in the quasistatic approximation under general conditions. In this model, metal is regarded as composed of free charges and bound charges. The bound charges form the dielectric background which has a dielectric function. Those free charges undergo a collective motion in the dielectric background under the driving force. The response of free charges will not be included in the dielectric function like the Drude model. The extinction and scattering cross sections as well as the damping coefficient from our model are verified to be consistent with those based on the Drude model. We introduce size effects and modify the restoring and driving forces by adding the dynamic depolarization factor and the radiation damping term to the depolarization factor. This model provides an intuitive physical picture as well as a simple theoretical description of the dipole mode of the localized surface-plasmon resonance based on free-charge collective motion.

Application of sound scattering models to swimbladdered fish, red seabream (Chrysophys major)

  • Kang Donhyug;Hwang Doojin;Na Jungyul;Kim Suam
    • Proceedings of the Acoustical Society of Korea Conference
    • /
    • spring
    • /
    • pp.233-236
    • /
    • 2000
  • The acoustical response of fish depends on size and physical structure na, most important, on the presence or absence of a swimbladder. Acoustic scattering models for swimbladdered fish represent a fish by an ideal pressure-release surface having the size and shape as the swimbladder. Target strength experiments of red seabream (Chrysophrys major) have been conducted using 38 (split-beam), 120 (split-beam) and 200kHz (dual-beam) frequencies. At each start of each experiment, the live fish are placed in the cage at the surface, then the cage is lowed to about $4{\cal}m$ depth where it remains during the measurements. To test the acoustic models, predictions of target strength based on swimbladder morphometries of 10 red seabream offish total length from $103{\cal}mm{\;}to{\;}349{\cal}mm$ ($3 <$TL/\lambda$ < 45)are compared with conventional target strength measurements on the same, shock-frozen immediately after caged experiments. X-ray was projected along dorsal aspect to know the morphological construction of swimbladder. and fish body. At high frequencies, Helmholtz-kirchhoff(HK) approximation would greatly enhance swimbladdered fish modeling. Sound scattering model [HK-ray approximation model] for comparison to experimental target strength data was used to model backscatter measurements from individual fish. The scattering data can be used in the inverse method along with multiple frequency sonar systems to investigate the adequacy of classification and identification of fish

  • PDF

Evaluation of Surrogate Models for Shape Optimization of Compressor Blades

  • Samad, Abdus;Kim, Kwang-Yong
    • 유체기계공업학회:학술대회논문집
    • /
    • 2006.08a
    • /
    • pp.367-370
    • /
    • 2006
  • Performances of multiple surrogate models are evaluated in a turbomachinery blade shape optimization. The basic models, i.e., Response Surface Approximation, Kriging and Radial Basis Neural Network models as well as weighted average models are tested for shape optimization. Global data based errors for each surrogates are used to calculate the weights. These weights are multiplied with the respective surrogates to get the final weighted average models. The design points are selected using three level fractional factorial D-optimal designs. The present approach can help address the multi-objective design on a rational basis with quantifiable cost-benefit analysis.

  • PDF

Numerical Optimization of a Transonic Axial Compressor with Casing Grooves for Improvement of Operating Stability (케이싱 그루브가 장착된 천음속 축류압축기의 작동 안정성 향상을 위한 수치최적화)

  • Kim, Jin-Hyuk;Choi, Kwang-Jin;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
    • /
    • v.14 no.5
    • /
    • pp.31-38
    • /
    • 2011
  • Optimization using a hybrid multi-objective evolutionary algorithm coupled with response surface approximation has been performed to improve the performance of a transonic axial compressor with circumferential casing grooves. In order to optimize the operating stability and peak adiabatic efficiency of the compressor with circumferential casing grooves, tip clearance, angle distribution at blade tip and the depth of the circumferential casing grooves are selected as design variables. Three-dimensional Reynolds-averaged Navier-Stokes equations with the shear stress transport turbulence model are discretized by finite volume approximations. The trade-off between two objectives with the interaction of blade and casing treatment is determined and discussed with respect to the representative clusters in the Pareto-optimal solutions compared to the axial compressor without the casing treatment.

DESIGN OPTIMIZATION OF UPPER PLENUM OF PBMR USING RESPONSE SURFACE APPROXIMATION (반응면기법을 이용한 PBMR 기체냉각형 고온가스로 상층부의 최적설계)

  • Lee, S.M.;Kim, K.Y.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2010.05a
    • /
    • pp.187-194
    • /
    • 2010
  • Shape optimization of an upper plenum of PBMR type gas cooled nuclear reactor has been performed by using three-dimensional Reynolds-Averaged Navier-Stokes (RANS) analysis and surrogate modeling technique. The objective function is defined as a linear combination of uniformity of flow distribution in the core and pressure drop in the upper plenum and the core. The ratio of thickness of slot to diameter of rising channels, ratio of height of upper plenum to diameter of rising channels, and ratio of eight of the slot at inlet to outlet, are used as design variables for optimization. Design points are selected through Latin-hypercube sampling. The optimal point is determined through surrogate-based optimization method which uses 3-D RANS analyses at design points. The results show that the optimum shape represent remarkably improved performance in flow uniformity and friction loss than the reference shape.

  • PDF

DESIGN OPTIMIZATION OF UPPER PLENUM OF PBMR USING RESPONSE SURFACE APPROXIMATION (반응면기법을 이용한 PBMR 기체냉각형 고온가스로 상층부의 최적설계)

  • Lee, S.M.;Kim, K.Y.
    • Journal of computational fluids engineering
    • /
    • v.15 no.3
    • /
    • pp.16-23
    • /
    • 2010
  • Shape optimization of an upper plenum of a PBMR type gas cooled nuclear reactor has been performed by using three-dimensional Reynolds-Averaged Navier-Stokes (RANS) analysis and surrogate modeling technique. The objective function is defined as a linear combination of uniformity of flow distribution in the core and pressure drop in the upper plenum and the core. The ratio of thickness of slot to diameter of rising channels, ratio of height of upper plenum to diameter of rising channels, and ratio of height of the slot at inlet to outlet, are used as design variables for optimization. Design points are selected through Latin-hypercube sampling. The optimal point is determined through surrogate-based optimization method which uses 3-D RANS analyses at design points. The results show that the optimum shape represent remarkably improved performance in flow uniformity and friction loss than the reference shape.

Response Surface Approximation for Fatigue Life Prediction Using Chebyshev Orthogonal Polynomials (Chebyshev 직교다항식을 이용한 피로수명예측을 위한 반응표면근사화)

  • Jin, Ki-Chul;Baek, Seok-Heum;Cho, Seok-Swoo;Jang, Deuk-Yul;Joo, Won-Sik
    • Proceedings of the KAIS Fall Conference
    • /
    • 2007.11a
    • /
    • pp.319-322
    • /
    • 2007
  • 철도차량의 피로수명예측은 안전성과 신뢰성을 확보하고 높은 품질을 위한 중요한 관점이다. 이것은 최적설계 과정에서 추가의 제한조건으로 최소 피로수명값을 사용해서 접근할 수 있다. 하지만 피로수명은 회수의 함수이기 때문에 최적설계 적용에 제약이 따른다. 본 연구는 피로수명예측을 위한 최적설계에 대해 2단계 반응표면모델의 응용을 제안한다. 적용 예제로 컨테이너 화차의 제동 브라켓 엔드빔의 피로파손 문제에 대해 제안한 방법의 유효성을 설명한다.

  • PDF