• Title/Summary/Keyword: 다단계 최적화방법

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유전 알고리즘 기반 다단계 최적설계 방법을 이용한 웨이퍼 단면 연삭기 구조물의 최적설계

  • 박현만;최영휴;김동석;하상백;이상직
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.05a
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    • pp.321-321
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    • 2004
  • 본 연구에서는 웨이퍼 단면 연삭기 구조물의 경량화 고강성화 최적설계를 위하여 가변벌점함수 유전 알고리즘을 이용한 다단계 최적설계 방법을 적용하였다. 구조강성 최대화와 중량 최소화라는 상반된 성질의 목적함수를 최적화하기 위하여 강성의 역수 개념인 컴플라이언스(compliance)를 도입하여 목적함수론 최소화시키는 문제로 만들었으며, 가증방법(weighted method)을 이용하여 다목적 함수를 단일 목적함수로 변환시켰다. 부재 단면형상 최적화 단계와 정적설계 최적화 단계, 및 동적 설계 최적화 단계를 순차적으로 수행하는 다단계 최적설계를 방법을 연삭기 구조물의 최적설계에 적용하였다.(중략)

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다분야통합 설계 최적화(MDO) 문제의 정식화 기법에 대한 고찰 Part1: MDO의 정식화 관련된 Issue들

  • 양영순;정현승
    • Bulletin of the Society of Naval Architects of Korea
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    • v.37 no.3
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    • pp.52-61
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    • 2000
  • 이상에서 MDO 기법의 정식화와 관련된 issue들인 해석의 연성과 관련된 SAND 및 NAND 기법과 의사결정의 분산과 관련된 다단계 최적화 기법을 살펴보았다.Part 2에서는 MDO기법의 정식화 방법들을 소개하고, 각 방법들이 Part1에서 언급된 issue들을 어떻게 다루고 있는지 살펴볼 것이다.

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Multilevel Multiobjective Optimization for Structures (다단계 다목적함수 최적화를 이용한 구조물의 최적설계)

  • 한상훈;최홍식
    • Computational Structural Engineering
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    • v.7 no.1
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    • pp.117-124
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    • 1994
  • Multi-level Multi-objective optimization(MLMO) for reinforced concrete framed structure is performed, and compared with the results of single-level single-objective optimization. MLMO method allows flexibility to meet the design needs such as deflection and cost of structures using weighting factors. Using Multi-level formulation, the numbers of constraints and variables are reduced at each levels, and the optimization formulation becomes simplified. The force approximation method is used to reflect the variation in design variables between the substructures, and thus coupling is maintained. And the linear approximated constraints and objective function are used to reduce the number of structural analysis in optimization process. It is shown that the developed algorithm with move limit can converge effectively to optimal solution.

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Study on Optimum Modification Method of Dynamic Charcteristics of Ship Structures by Multi-level Optimization (다단계최적화방법에 의한 선박구조물의 동특성의 최적변경법에 관한연구)

  • 박석주
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.4
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    • pp.574-582
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    • 1999
  • This paper discusses the multi-level optimization method in dynamic optimization problems through stiffened plate of ship structures. In structural optimization the computational cost increases rapidly as the number of design variables increases. And we need a great amount of cal-culation and time on problems of modified dynamic characteristics of large and complicated struc-tures. In this paper the multi-level optimization is proposed which decreases computational time and cost. the dynamic optimum designs of stiffened plate that control the natural frequency and minimize weight subjected to constraints condition are derived. The way to apply the multi-level optimization methods in this study follow: In the first step the dynamic characteristics is controlled for the two-dimensional model of stiffened plate by sensitivity analysis and quasi-least squares methods. In the second step the cross-section of the stiffener is decided so that the weight is minimized under needed constraints by the steepest descent or ascent method. In the third the three-dimensional model is made based on the results of the first step and the second step confirmation and finer tuning of the objective function are carried out. It is shown that the results are effective in the optimum modification for dynamic characteristics of the stiffened plate.

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An Improved Multi-level Optimization Algorithm for Orthotropic Steel Deck Bridges (강바닥판교의 개선된 다단계 최적설계 알고리즘)

  • 조효남;이광민;최영민;김정호
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.3
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    • pp.237-250
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    • 2003
  • Since an orthotropic steel deck bridge has large number of design variables and shows complex structural behavior, it would be very difficult and impractical to directly use a Conventional Single Level (CSL) optimization algorithm for its optimum design. Thus, in this paper, an Improved Multi Level Design Synthesis (IMLDS) optimization algorithm is proposed to improve the computational efficiency. In the proposed IMLDS algorithm, a coordination method is introduced to divide the bridge into main girders and orthotropic steel deck with preserving the characteristics of the structural behavior. For an efficient optimization of the bridge, the IMLDS algorithm incorporates the various crucial approximation techniques such as constraints deletion, Automatic Differentiation (AD), stress reanalysis, and etc. In the case of orthotropic steel deck system, optimum design problems are characterized by mixed continuous discrete variables and discontinuous design space. Thus, a modified Genetic Algorithm (GA) is also applied to optimize discrete member design for orthotropic steel deck. From the numerical example, the efficiency and convergency of the IMLDS algorithm proposed in this paper is investigated. It may be positively stated that the IMLDS algorithm will lead to more effective and practical design compared with previous algorithms.

The size and shape optimization of plane trusses using the multi-levels method (다단계 분할기법에 의한 평면트러스의 단면치수 및 형상 최적화)

  • Pyeon, Hae-Wan;Oh, Kyu-Rak;Kang, Moon-Myung
    • Journal of Korean Society of Steel Construction
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    • v.12 no.5 s.48
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    • pp.515-525
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    • 2000
  • The purpose of this paper was to develop size & shape optimization programming algorithm of plane trusses. The optimum techniques applied in this study were extended penalty method of Sequential Unconstrained Minimization Techniques(SUMT) and direct search method with multi-variables proposed by Hooke & Jeeves. Upper mentioned two methods were used iteratively at each level of size and shape optimization routines. The design variables of size optimization were circular steel tube(structural member) diameter and thickness, those of shape optimization were joint coordinates, and the objective function was represented as total weight of truss. During the optimum design, two level procedures of size and shape optimization were interacted iteratively until the final optimum values were attained. At the previous studies about shape optimization of truss, the member sectional areas and coordinates were applied as design variables. So that they could not apply the buckling effect of compression member. In this paper, actual sizes of member and nodal coordinates are used as design variables to consider the buckling effect of compression member properly.

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A Hierarchical Approach for Design Analysis and Optimization of Framed Structures (프레임 구조의 계층적 설계 해석 및 최적화)

  • Hwang, Jin Ha;Lee, Hak Sool
    • Journal of Korean Society of Steel Construction
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    • v.12 no.1 s.44
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    • pp.93-102
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    • 2000
  • Substructuring-based hierarchical approach for design analysis and optimization of structural frames is presented in this study. The conceptual framework of this method is in the hierarchical modeling for design processes as well as structural systems and the methodology combining substructuring analysis and multilevel optimization. Mathematical models for analysis and synthesis are established on the common basis of substructuring systems. Modularized behavioral analysis, design sensitivity analysis and optimization are linked and integrated on the mathematical and structural basis of substructuring. Substructures are coordinated with the active constraints for system level and the weight ratio criteria. Numerical examples for test frames show the validity and effectiveness of the present approach.

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Integrated Optimal Design of Hybrid Structural Control System using Multi-Stage Goal Programming Technique (다단계 목표계획법을 이용한 복합구조제어시스템의 통합최적설계)

  • 박관순;고현무;옥승용
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.5
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    • pp.93-102
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    • 2003
  • An optimal design method for hybrid structural control system of building structures subject to earthquake excitation is presented in this paper. Designing a hybrid structural control system may be defined as a process that optimizes the capacities and configuration of passive and active control systems as well as structural members. The optimal design proceeds by formulating the optimization problem via a multi-stage goal programming technique and, then, by finding reasonable solution to the optimization problem by means of a goal-updating genetic algorithm. In the multi-stage goal programming, design targets(or goals) are at first selected too correspond too several stages and the objective function is th n defined as the sum of the normalized distances between these design goals and each of the physical values, that is, the inter-story drifts and the capacities of the control system. Finally, the goal-updating genetic algorithm searches for optimal solutions satisfying each stage of design goals and, if a solution exists, the levels of design goals are consecutively updated to approach the global optimal solution closest too the higher level of desired goals. The process of the integrated optimization design is illustrated by a numerical simulation of a nine-story building structure subject to earthquake excitation. The effectiveness of the proposed method is demonstrated by comparing the optimally designed results with those of a hybrid structural control system where structural members, passive and active control systems are uniformly distributed.

Optimization Method on the Number of the Processing Elements in the Multi-Stage Motion Estimation Algorithm for High Efficiency Video Coding (HEVC 다단계 움직임 추정 기법에서 단위 연산기 개수의 최적화 방법)

  • Lee, Seongsoo
    • Journal of IKEEE
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    • v.21 no.1
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    • pp.100-103
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    • 2017
  • Motion estimation occupies the largest computation in the video compression. Multiple processing elements are often exploited in parallel to meet processing speed. More processing elements increase processing speed, but they also increase hardware area. therefore, it is important to optimize the number of processing element. HEVC (high efficiency video coding) usually exploits multi-stage motion estimation algorithms for low computation and high performance. Since the number and position of search points are different in each stage, the utilization of the processing elements is not always 100% and the utilization is quite different with the number of processing elements. In this paper, the optimizing method is proposed on the number of processing elements. It finds out the optimal number of the processing elements for the given multi-stage motion estimation algorithm by calculating utilization and execution cycle of the processing elements.

Integrated Structural Design Operation by Process Decomposition and Parallelization (프로세스 분할 병행에 의한 통합 구조설계 운용)

  • Hwang, Jin-Ha;Park, Jong-Hoi
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.1
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    • pp.113-124
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    • 2008
  • Distributed operation of overall structural design process, by which product optimization and process parallelization are simultaneously implemented, is presented in this paper. The database-interacted hybrid method, which selectively takes the accustomed procedure of the conventional method in the framework of the optimal design, is utilized here. The staged application of design constraints reduces the computational burden for large complex optimization problems. Two kinds of numeric and graphic processes are simultaneously implemented by concurrent engineering approach in the distributed environment of PC networks. The former is based on finite element optimization method and the latter is represented by AutoCAD using AutoLISP programming language. Numerical computation and database interaction on servers and graphic works on independent clients are communicated through message passing. The numerical experiments for some steel truss models show the validity and usability of the method. This study has sufficient adaptability and expandability, in that it is based on general methodologies and industry standard platforms.