• 제목/요약/키워드: multi-constraint optimization

검색결과 107건 처리시간 0.026초

조인트 최소거리를 고려한 다중구조물 위상최적설계 기법 (Multi-component Topology Optimization Considering Joint Distance)

  • 김준환;윤길호
    • 한국전산구조공학회논문집
    • /
    • 제35권6호
    • /
    • pp.343-349
    • /
    • 2022
  • 본 논문에서는 구조물이 다중 구조물로 연결되는 경우 연결부의 조인트 위치를 기존의 위상최적설계 기법을 활용해 설계하는 기법을 개발하였다. 조인트는 길이가 0이고 강성이 매우 강한 스프링으로 모델링되었으며, 조인트는 유한요소 메시 형상과 무관하게 이동할 수 있도록 모델링되었다. 최적화 과정에서 조인트가 서로 뭉치는 현상을 방지하기 위해 조인트 최소거리 조건을 추가해 조인트간의 최소거리가 확보된 설계를 얻었다. 최적설계 시 목적함수로는 전체 구조물의 compliance 값이 사용되었으며, 조인트 최소거리 조건에 따른 결과를 비교하기 위해 2개의 수치예제를 해석하였다. 위상최적설계 결과 조인트 최소거리 조건의 변화에 따라 조인트 및 구조물의 최적 형상을 얻을 수 있었다.

설계 민감도와 신뢰도 분석에 근거한 전자기기의 다목적 최적화 (Multi-Objective Optimization of Electromagnetic Device Based on Design Sensitivity Analysis and Reliability Analysis)

  • 렌지얀;장전해;박찬혁;고창섭
    • 전기학회논문지
    • /
    • 제62권1호
    • /
    • pp.49-56
    • /
    • 2013
  • In this paper, for constrained optimization problem, one multi-objective optimization algorithm that ensures both performance robustness and constraint feasibility is proposed when uncertainties are involved in design variables. In the proposed algorithm, the gradient index of objective function assisted by design sensitivity with the help of finite element method is applied to evaluate robustness; the reliability calculated by the sensitivity-assisted Monte Carlo simulation method is used to assess the feasibility of constraint function. As a demonstration, the performance and numerical efficiency of the proposed method is investigated through application to the optimal design of TEAM problem 22--a superconducting magnetic energy storage system.

변위구속조건을 고려한 컴플라이언트 메커니즘 설계 (Compliant Mechanism Design with Displacement Constraint)

  • 김영기;민승재
    • 대한기계학회논문집A
    • /
    • 제26권9호
    • /
    • pp.1779-1786
    • /
    • 2002
  • When the topology optimization is applied to the design of compliant mechanism, unexpected displacements of input and output port are generated since the displacement control is not included in the formulation. To devise a more precise mechanism, displacement constraint is formulated using the mutual potential energy concept and added to multi-objective function defined with flexibility and stiffness of a structure. The optimization problem is resolved by using Finite Element Method(FEM) and Sequential Linear Programming(SLP). Design examples of compliant mechanism with displacement constraint are presented to validate the proposed design method.

A Novel Method for Virtual Machine Placement Based on Euclidean Distance

  • Liu, Shukun;Jia, Weijia
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제10권7호
    • /
    • pp.2914-2935
    • /
    • 2016
  • With the increasing popularization of cloud computing, how to reduce physical energy consumption and increase resource utilization while maintaining system performance has become a research hotspot of virtual machine deployment in cloud platform. Although some related researches have been reported to solve this problem, most of them used the traditional heuristic algorithm based on greedy algorithm and only considered effect of single-dimensional resource (CPU or Memory) on energy consumption. With considerations to multi-dimensional resource utilization, this paper analyzed impact of multi-dimensional resources on energy consumption of cloud computation. A multi-dimensional resource constraint that could maintain normal system operation was proposed. Later, a novel virtual machine deployment method (NVMDM) based on improved particle swarm optimization (IPSO) and Euclidean distance was put forward. It deals with problems like how to generate the initial particle swarm through the improved first-fit algorithm based on resource constraint (IFFABRC), how to define measure standard of credibility of individual and global optimal solutions of particles by combining with Bayesian transform, and how to define fitness function of particle swarm according to the multi-dimensional resource constraint relationship. The proposed NVMDM was proved superior to existing heuristic algorithm in developing performances of physical machines. It could improve utilization of CPU, memory, disk and bandwidth effectively and control task execution time of users within the range of resource constraint.

Topology Optimization of Plane Structures using Modal Strain Energy for Fundamental Frequency Maximization

  • Lee, Sang-Jin;Bae, Jung-Eun
    • Architectural research
    • /
    • 제12권1호
    • /
    • pp.39-47
    • /
    • 2010
  • This paper describes a topology optimization technique which can maximize the fundamental frequency of the structures. The fundamental frequency maximization is achieved by means of the minimization of modal strain energy as an inverse problem so that the strain energy based resizing algorithm is directly used in this study. The strain energy to be minimized is therefore employed as the objective function and the initial volume of structures is used as the constraint function. Multi-frequency problem is considered by the introduction of the weight which is used to combine several target modal strain energy terms into one scalar objective function. Several numerical examples are presented to investigate the performance of the proposed topology optimization technique. From numerical tests, it is found to be that the proposed optimization technique is extremely effective to maximize the fundamental frequency of structure and can successfully consider the multi-frequency problems in the topology optimization process.

Multi-Rate 스프링 제동장치의 성능분석 및 최적설계 (Performance Analysis and Design Optimization of Multi-Rate Spring Brake System)

  • 정의만;원준호;최주호;심인섭
    • 한국항공운항학회지
    • /
    • 제18권4호
    • /
    • pp.67-72
    • /
    • 2010
  • In this study, performance analysis and design optimization is carried out for a multi-rate spring brake system, which is used in a cable ride to stop the arriving passengers in safe and comfortable manner. Mathematical model for the spring is developed toward the objective of minimizing the impact at the arrival while satisfying the constraint of limited distance at the stop. Matlab code is utilized to examine parameters affecting the performance of the brake system. The results are validated by a commercial software RecurDyn. Kriging meta model is used to reduce the computational cost of the analysis. Optimization is conducted by RecurDyn, from which the design parameters are determined that minimizes the impact at the stop.

Application of multi objective genetic algorithm in ship hull optimization

  • Guha, Amitava;Falzaranoa, Jeffrey
    • Ocean Systems Engineering
    • /
    • 제5권2호
    • /
    • pp.91-107
    • /
    • 2015
  • Ship hull optimization is categorized as a bound, multi variable, multi objective problem with nonlinear constraints. In such analysis, where the objective function representing the performance of the ship generally requires computationally involved hydrodynamic interaction evaluation methods, the objective functions are not smooth. Hence, the evolutionary techniques to attain the optimum hull forms is considered as the most practical strategy. In this study, a parametric ship hull form represented by B-Spline curves is optimized for multiple performance criteria using Genetic Algorithm. The methodology applied to automate the hull form generation, selection of optimization solvers and hydrodynamic parameter calculation for objective function and constraint definition are discussed here.

Topology optimization of variable thickness Reissner-Mindlin plate using multiple in-plane bi-directional functionally graded materials

  • Nam G. Luu;Thanh T. Banh;Dongkyu Lee
    • Steel and Composite Structures
    • /
    • 제48권5호
    • /
    • pp.583-597
    • /
    • 2023
  • This paper introduces a novel approach to multi-material topology optimization (MTO) targeting in-plane bi-directional functionally graded (IBFG) non-uniform thickness Reissner-Mindlin plates, employing an alternative active phase approach. The mathematical formulation integrates a first shear deformation theory (FSDT) to address compliance minimization as the objective function. Through an alternating active-phase algorithm in conjunction with the block Gauss-Seidel method, the study transforms a multi-phase topology optimization challenge with multi-volume fraction constraints into multiple binary phase sub-problems, each with a single volume fraction constraint. The investigation focuses on IBFG materials that incorporate adequate local bulk and shear moduli to enhance the precision of material interactions. Furthermore, the well-established mixed interpolation of tensorial components 4-node elements (MITC4) is harnessed to tackle shear-locking issues inherent in thin plate models. The study meticulously presents detailed mathematical formulations for IBFG plates in the MTO framework, underscored by numerous numerical examples demonstrating the method's efficiency and reliability.

자동미분을 이용한 뼈대구조의 다단계 다목적 최적설계 (Multi-Level and Multi-Objective Optimization of Framed Structures Using Automatic Differentiation)

  • Cho, Hyo-Nam;Min, Dae-Hong;Lee, Kwang-Min;Kim, Hoan-Kee
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
    • /
    • pp.177-186
    • /
    • 2000
  • An improved multi-level(IML) optimization algorithm using automatic differentiation (AD) for multi-objective optimum design of framed structures is proposed in this paper. In order to optimize the steel frames under seismic load, two main objective functions need to be considered for minimizing the structural weight and maximizing the strain energy. For the efficiency of the proposed algorithm, multi-level optimization techniques using decomposition method that separately utilizes both system-level and element-level optimizations and an artificial constraint deletion technique are incorporated in the algorithm. And also to save the numerical efforts, an efficient reanalysis technique through approximated structural responses such as moments, frequencies, and strain energy with respect to intermediate variables is proposed in the paper. Sensitivity analysis of dynamic structural response is executed by AD that is a powerful technique for computing complex or implicit derivatives accurately and efficiently with minimal human effort. The efficiency and robustness of the IML algorithm, compared with a plain multi-level (PML) algorithm, is successfully demonstrated in the numerical examples.

  • PDF

동특성 민감도 해석을 이용한 전단형 철골구조물의 다목적 다단계 최적설계 (Multi-Objective and Multi-Level Optimization for Steel Frames Using Sensitivity Analysis of Dynamic Properties)

  • Cho, Hyo-Nam;Chung, Jee-Seung;Min, Dae-Hong;Kim, Hyun-Woo
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
    • /
    • pp.333-342
    • /
    • 1999
  • An improved optimization algorithm for multi-objective and multi-level (MO/ML) optimum design of steel frames is proposed in this paper. In order to optimize the steel frames under seismic load, two main objective functions need to be considered for minimizing the structural weight and maximizing the strain energy. For the efficiency of the proposed method, well known multi-level optimization techniques using decomposition method that separately utilizes both system-level and element-level optimizations and an artificial constraint deletion technique are incorporated in the algorithm. And also dynamic analysis is executed to evaluate the implicit function of structural strain energy at each iteration step. To save the numerical efforts, an efficient reanalysis technique through sensitivity analysis of dynamic properties is unposed in the paper. The efficiency and robustness of the improved MOML algorithm, compared with a plain MOML algorithm, is successfully demonstrated in the numerical examples.

  • PDF