• 제목/요약/키워드: Shape optimization

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S 모양 가상재료를 이용한 위상최적화 (Topology Optimization using S-shape material model)

  • 윤길호;김윤영
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.345-350
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    • 2000
  • In this paper, we introduce a new artificial material model for topology optimization. The present material model, named S-shape material model, accelerates topology optimization process especially in mathematical programming. We overcome the instability and the flatness in heuristic optimization process. Numerical examples show the superiority of the proposed material.

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고속활주선의 선형 최적화를 통한 저항성능 개선에 관한 연구 (A Study on Improvement in the Resistance Performance of Planing hulls by Hull Shape Optimization)

  • 김선범
    • 한국시뮬레이션학회논문지
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    • 제27권2호
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    • pp.83-90
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    • 2018
  • 본 연구에서는 선형의 기본 파라메타가 주어졌을 때, 선형 최적화를 통하여 고속으로 주행하는 활주선의 저항성능을 개선하는 기법을 제안하였다. 먼저 선행연구 된 활주선형을 기준 선형으로 채택한 뒤, 선형 변경지점을 정의해 설계변수로 하여 최적화 문제를 수립하였다. 계산 효율을 위하여 탐색공간을 이산화하고, 최적화 문제를 풀기위하여 DPSO(Discrete binary version of Particle Swarm Optimization) 알고리즘을 사용하였다. 최적화 수행 후 기준 선형과 수정 선형의 목적함수 출력의 비교를 수행하였고, 이를 통해 고속영역에서의 저항성능의 개선을 확인하였다.

밀도법을 이용한 스페이스 트러스 구조물의 초기 형상 설계 (Initial Shape Design of Space Truss Structure using Density Method)

  • 김호수;박영신;양명규;이민호;김재윤
    • 한국공간구조학회논문집
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    • 제10권4호
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    • pp.59-66
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    • 2010
  • 본 연구는 스페이스 트러스 구조물의 초기 형상을 결정하기 위해 밀도법을 이용한 위상최적화 기술을 고려하고자 한다. 대부분의 초기 형상설계는 다양한 최적화 방법을 활용하지 않고 설계자의 경험이나 시행착오적인 방법을 바탕으로 수행되고 있다. 이런 이유로 합리적이고 경제적인 최적화기술이 초기 형상설계에 도입되어야 한다. 따라서 본 연구에서는 스페이스 트러스 구조물을 대상으로 설계영역을 설정하고 위상최적화를 수행하여 최적의 재료분포를 찾은 뒤 크기최적화를 이용하여 최적부재 크기를 찾고자 한다. 이와 같이 밀도법을 이용한 위상 및 크기최적화를 병행하여 수행할 경우 합리적인 스페이스 트러스 구조물의 초기 형상을 도출할 수 있다.

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Optimum design of shape and size of truss structures via a new approximation method

  • Ahmadvand, Hosein;Habibi, Alireza
    • Structural Engineering and Mechanics
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    • 제76권6호
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    • pp.799-821
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    • 2020
  • The optimum design of truss structures is one of the significant categories in structural optimization that has widely been applied by researchers. In the present study, new mathematical programming called Consistent Approximation (CONAP) method is utilized for the simultaneous optimization of the size and shape of truss structures. The CONAP algorithm has already been introduced to optimize some structures and functions. In the CONAP algorithm, some important parameters are designed by employing design sensitivities to enhance the capability of the method and its consistency in various optimum design problems, especially structural optimization. The cross-sectional area of the bar elements and the nodal coordinates of the truss are assumed to be the size and shape design variables, respectively. The displacement, allowable stress and the Euler buckling stress are taken as the design constraints for the problem. In the proposed method, the primary optimization problem is replaced with a sequence of explicit sub-problems. Each sub-problem is efficiently solved using the sequential quadratic programming (SQP) algorithm. Several truss structures are designed by employing the CONAP method to illustrate the efficiency of the algorithm for simultaneous shape and size optimization. The optimal solutions are compared with some of the mathematical programming algorithms, the approximation methods and metaheuristic algorithms those reported in the literature. Results demonstrate that the accuracy of the optimization is improved and the convergence rate speeds up.

TOPSIS와 전산직교배열을 적용한 자동차 로워암의 다수준 형상최적설계 (Multi-level Shape Optimization of Lower Arm by using TOPSIS and Computational Orthogonal Array)

  • 이광기;한승호
    • 한국정밀공학회지
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    • 제28권4호
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    • pp.482-489
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    • 2011
  • In practical design process, designer needs to find an optimal solution by using full factorial discrete combination, rather than by using optimization algorithm considering continuous design variables. So, ANOVA(Analysis of Variance) based on an orthogonal array, i.e. Taguchi method, has been widely used in most parts of industry area. However, the Taguchi method is limited for the shape optimization by using CAE, because the multi-level and multi-objective optimization can't be carried out simultaneously. In this study, a combined method was proposed taking into account of multi-level computational orthogonal array and TOPSIS(Technique for Order preference by Similarity to Ideal Solution), which is known as a classical method of multiple attribute decision making and enables to solve various decision making or selection problems in an aspect of multi-objective optimization. The proposed method was applied to a case study of the multi-level shape optimization of lower arm used to automobile parts, and the design space was explored via an efficient application of the related CAE tools. The multi-level shape optimization was performed sequentially by applying both of the neural network model generated from seven-level four-factor computational orthogonal array and the TOPSIS. The weight and maximum stress of the lower arm, as the objective functions for the multi-level shape optimization, showed an improvement of 0.07% and 17.89%, respectively. In addition, the number of CAE carried out for the shape optimization was only 55 times in comparison to full factorial method necessary to 2,401 times.

형상 파라미터화 방법을 이용한 엔진 마운트용 고무의 형상 최적화 (Optimum Shape Design of Engine Mounting Rubber Using a Parametric Approach)

  • 김중재;김헌영
    • 한국자동차공학회논문집
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    • 제2권2호
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    • pp.33-41
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    • 1994
  • The procedure to design the engine mount is briefly discussed and the optimum shape design process of engine mounting rubber using a parametric approach is suggested. An optimization code is developed to determine the shape to meet the stiffness requirements of engine mounts, coupled with the commercial nonlinear finite element program ABAQUS. A bush type engine mount used in a current passenger car is chosen for an application model. The shape from the result of the parameter optimization is determined as a final model with some modifications. The shape and stiffness of each optimization stage are shown and the stiffness of the optimized model along the principal direction is compared with the design specification of the current model. Finally, an overview of the current status and future works for the engine mount design are discussed.

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열림 파괴양식에 대한 구조물의 형상 최적화 (Shape Optimization of Structures in Opening Mode)

  • 한석영;송시엽
    • 한국자동차공학회논문집
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    • 제10권2호
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    • pp.141-149
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    • 2002
  • Most of mechanical failures are caused by repeated loadings and therefore they are strongly related to fatigue. To avoid the failures caused by fatigue, determination of an optimal shape of a structure is one of the very important factors in the initial design stage. Shape optimization for three types of specimens, which are very typical ones in opening mode in fracture mechanics, was accomplished by the linear elastic fracture mechanics and the growth-strain method in this study. The linear elastic fracture mechanics was used to estimate stress intensity factors and fatigue lives. And the growth-strain method was used to optimize the shape of the initial shape of the specimens. From the results of the shape optimization, it was concluded that shapes of three types of specimens optimized by the growth-strain method prolong their fatigue lives very much.

A teaching learning based optimization for truss structures with frequency constraints

  • Dede, Tayfun;Togan, Vedat
    • Structural Engineering and Mechanics
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    • 제53권4호
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    • pp.833-845
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    • 2015
  • Natural frequencies of the structural systems should be far away from the excitation frequency in order to avoid or reduce the destructive effects of dynamic loads on structures. To accomplish this goal, a structural optimization on size and shape has been performed considering frequency constraints. Such an optimization problem has highly nonlinear property. Thus, the quality of the solution is not independent of the optimization technique to be applied. This study presents the performance evaluation of the recently proposed meta-heuristic algorithm called Teaching Learning Based Optimization (TLBO) as an optimization engine in the weight optimization of the truss structures under frequency constraints. Some examples regarding the optimization of trusses on shape and size with frequency constraints are solved. Also, the results obtained are tabulated for comparison. The results demonstrated that the performance of the TLBO is satisfactory. Additionally, TLBO is better than other methods in some cases.

마이크로 믹서의 형상 최적화 (Shape Optimization of a Micro-Static Mixer)

  • 한석영;김성훈
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2004년도 춘계학술대회 논문집
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    • pp.166-171
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    • 2004
  • In this study, shape optimization of micro-static mixer with a cantilever beam was accomplished for mixing the mixing efficiency by using successive response surface approximations. Variables were chosen as the length of cantilever beam and the angle between horizontal and the cantilever beam. Sequential approximate optimization method was used to deal with both highly nonlinear and non-smooth characteristics of flow field in a micro-static mixer. Shape optimization problem of a micro-static mixer can be divided into a series of simple subproblems. Approximation to solve the subproblems was performed by response surface approximation, which does not require the sensitivity analysis. To verify the reliability of approximated objective function and the accuracy of it, ANOVA analysis and variables selection method were implemented, respectively. It was verified that successive response surface approximation worked very well and the mixing efficiency was improved very much comparing with the initial shape of a micro-static mixer.

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유한요소해석과 기하학적 모델링의 연동에 기초한 쉘 곡면의 형상 최적 설계 (Shape Optimization of Shell Surfaces Based on Linkage Framework betweenGeometric Modeling and Finite Element Analysis)

  • 김현철;노희열;조맹효
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1328-1333
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    • 2003
  • In the present study, an integrated framework of geometric modeling, analysis, and design optimization is proposed. Geometric modeling is based on B-spline surface representation. Geometrically-exact shell finite element is implemented in analysis module. Control points of the surface are selected as design variables for optimization, which can make the interaction easier between analysis and surface representation. Sequential linear programming(SLP) is adopted for the shape optimization of surfaces. For the computation of shape sensitivities, semi-analytical method is used. The developed integrated framework should serve as a powerful tool for the geometric modeling, analysis, and shape design of surfaces.

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