• Title/Summary/Keyword: Approximate Optimal Design

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Approximate Shape Optimization Technique by Sequential Design Domain (순차설계영역을 이용한 근사 형상최적에 관한 연구)

  • 김우현;임오강
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.1
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    • pp.31-38
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    • 2004
  • Mechanical design process is generally accomplished by design, analysis, and test. Designers use programs fitting purpose, and obtain repeatedly a response of a simulation program, a sub-program for optimization. In this paper, shape optimization using approximate optimization technique is carried out with sequential design domain(SDD). In addition, algorithm executing Pro/Engineer and ANSYS automatically are adopted in the approximate optimization program by SDD. It is difficult for design problem to be approximated accurately for the whole range of design space. However, more or less accurate approximation is constructed if SDD is applied to that case. SDD starts with a certain range which is off-seted from midpoint of an initial design domain and then SDD of the next step is determined by a move limited. Convergence criterion is defined such that optimal point must be located within SDD during the two steps. Also, the PLBA(Pshenichny-Lim-Belegundu-Arora) algorithm is used to solve approximate optimization problems. This algorithm uses the second-order information and the active set strategy, in order to seek the direction of design variables.

A Study on Optimal Design for Linear Electromagnetic Generator of Electricity Sensor System using Vibration Energy Harvesting (진동에너지 하베스팅을 이용한 전력감지시스템용 리니어 전자기 발전기에 관한 최적설계)

  • Cho, Seong Jin;Kim, Jin Ho
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.16 no.2
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    • pp.7-15
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    • 2017
  • Recently, an electricity sensor system has been installed and operated to prevent failures and accidents by identifying whether a transformer is normal in advance of failure. This electricity sensor system is able to both measure and monitor the transformer's power and voltage remotely and send information to a manager when unusual operation is discovered. However, a battery is required to operate power detection devices, and battery systems need ongoing management such as regular replacement. In addition, at a maintenance cost, occasional human resources and worker safety problems arise. Accordingly, we apply a linear electromagnetic generator using vibration energy from a transformer for an electric sensor system's drive in this research and we conduct optimal design to maximize the linear electromagnetic generator's power. We consider design variables using the provided design method from Process Integration, Automation, and Optimization (PIAnO), which is common tool from process integration and design optimization (PIDO). In addition, we analyze the experiment point from the design of the experiments using "MAXWELL," which is a common electromagnet analysis program. We then create an approximate model and conduct accuracy verification. Finally, we determine the optimal model that generates the maximum power using the proven approximate kriging model and evolutionary optimization algorithm, which we then confirm via simulation.

A B-spline based Branch & Bound Algorithm for Global Optimization (전역 최적화를 위한 B-스플라인 기반의 Branch & Bound알고리즘)

  • Park, Sang-Kun
    • Korean Journal of Computational Design and Engineering
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    • v.15 no.1
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    • pp.24-32
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    • 2010
  • This paper introduces a B-spline based branch & bound algorithm for global optimization. The branch & bound is a well-known algorithm paradigm for global optimization, of which key components are the subdivision scheme and the bound calculation scheme. For this, we consider the B-spline hypervolume to approximate an objective function defined in a design space. This model enables us to subdivide the design space, and to compute the upper & lower bound of each subspace where the bound calculation is based on the LHS sampling points. We also describe a search tree to represent the searching process for optimal solution, and explain iteration steps and some conditions necessary to carry out the algorithm. Finally, the performance of the proposed algorithm is examined on some test problems which would cover most difficulties faced in global optimization area. It shows that the proposed algorithm is complete algorithm not using heuristics, provides an approximate global solution within prescribed tolerances, and has the good possibility for large scale NP-hard optimization.

Approximate Multi-Objective Optimization of Scroll Compressor Lower Frame Considering the Axial Load (축하중을 고려한 스크롤 압축기 하부 프레임의 최적설계)

  • Kim, JungHwan;Lee, Jongsoo
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.24 no.3
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    • pp.308-313
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    • 2015
  • In this research, a multi-objective optimal design of a scroll compressor lower frame was approximated, and the design parameters of the lower frame were selected. The sensitivity of the design parameters was induced through a parameter analysis, and the thickness was determined to be the most sensitive parameter to stress and deflection. All of the design parameters regarding the mass are sensitive factors. It was formulated for the problem about stress and deflection to be caused by the axial load. The sensitivity of the design variables was determined using an orthogonal array for the parameter analysis. Using the central composite and D-optimal designs, a second polynomial approximation of the objective and constraint functions was formulated and the accuracy was verified through an R-square. These functions were applied to the optimal design program (NSGA-II). Through a CAE analysis, the effectiveness of the central composite and D-optimal designs was determined.

Approximate Multi-Objective Optimization of Bike Frame Considering Normal Load (수직하중을 고려한 자전거 프레임의 다중목적 최적설계)

  • Chae, Yunsik;Lee, Jongsoo
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.24 no.2
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    • pp.211-216
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    • 2015
  • Recently, because of the growth in the leisure industry and interest in health, the demand for bicycles has increased. In this research, considering the vertical load on a bike frame under static state conditions, the deflection and mass of the bike frame were minimized by satisfying the service condition and performing optimization. The thickness of the bicycle-frame tube was set to a design variable, and its sensitivity was confirmed by an analysis of means (ANOM). To optimize the solution, a response-surface-method (RSM) model was constructed using D-Optimal and central composite design(CCD). The optimization was performed using a non-dominant sorting genetic algorithm (NSGA-II), and the optimal solution was verified by finite-element analysis.

Optimal Gait Trajectory Generation and Optimal Design for a Biped Robot Using Genetic Algorithm (유전자 알고리즘을 이용한 이족 보행 로봇의 최적 설계 및 최적 보행 궤적 생성)

  • Kwon Ohung;Kang Minsung;Park Jong Hyeon;Choi Moosung
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.9
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    • pp.833-839
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    • 2004
  • This paper proposes a method that minimizes the consumed energy by searching the optimal locations of the mass centers of links composing of a biped robot using Real-Coded Genetic Algorithm. Generally, in order to utilize optimization algorithms, the system model and design variables must be defined. Firstly, the proposed model is a 6-DOF biped robot composed of seven links, since many of the essential characteristics of the human walking motion can be captured with a seven-link planar biped walking in the saggital plane. Next, Fourth order polynomials are used for basis functions to approximate the walking gait. The coefficients of the fourth order polynomials are defined as design variables. In order to use the method generating the optimal gait trajectory by searching the locations of mass centers of links, three variables are added to the total number of design variables. Real-Coded GA is used for optimization algorithm by reason of many advantages. Simulations and the comparison of three methods to generate gait trajectories including the GCIPM were performed. They show that the proposed method can decrease the consumed energy remarkably and be applied during the design phase of a robot actually.

Wind vibration control of stay cables using an evolutionary algorithm

  • Chen, Tim;Huang, Yu-Ching;Xu, Zhao-Wang;Chen, J.C.Y.
    • Wind and Structures
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    • v.32 no.1
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    • pp.71-80
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    • 2021
  • In steel cable bridges, the use of magnetorheological (MR) dampers between butt cables is constantly increasing to dampen vibrations caused by rain and wind. The biggest problem in the actual applications of those devices is to launch a kind of appropriate algorithm that can effectively and efficiently suppress the perturbation of the tie through basic calculations and optimal solutions. This article discusses the optimal evolutionary design based on a linear and quadratic regulator (hereafter LQR) to lessen the perturbation of the bridges with cables. The control numerical algorithms are expected to effectively and efficiently decrease the possible risks of the structural response in amplification owing to the feedback force in the direction of the MR attenuator. In addition, these numerical algorithms approximate those optimal linear quadratic regulator control forces through the corresponding damping and stiffness, which significantly lessens the work of calculating the significant and optimal control forces. Therefore, it has been shown that it plays an important and significant role in the practical application design of semiactive MR control power systems. In the present proposed novel evolutionary parallel distributed compensator scheme, the vibrational control problem with a simulated demonstration is used to evaluate the numerical algorithmic performance and effectiveness. The results show that these semiactive MR control numerical algorithms which are present proposed in the present paper has better performance than the optimal and the passive control, which is almost reaching the levels of linear quadratic regulator controls with minimal feedback requirements.

Near Time Maximum Disturbance Design for Second Order Oscillator with Model Uncertainty (모델 불확실성을 갖는 이차 오실레이터에 대한 근사화된 최대 시간 교란 신호 설계)

  • You Kwan-Ho
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.4
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    • pp.205-211
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    • 2003
  • In this paper we propose a disturbance design method to test a system's stability. It is shown that the time maximum disturbance is represented in bang-bang and state feedback form. To maximize the time severity index, the value of disturbance is determined by the associated switch curve. The original switch curve is vulnerable to model uncertainties and takes much calculation time. We propose an improved method to approximate the original switch curve. This reduces the computational time and implements sufficiently to test the stable system. Simulation results show how the approximate switch curve can be used to stress a system by driving it to oscillation along the maximum limit cycle.

Optimal Design for the Rotor Overlap of a Supersonic Impulse Turbine to Improve the Performance (초음속 충동형 터빈 성능개선을 위한 동익 오버랩 최적설계)

  • Cho, Jongjae;Shin, Bong Gun;Kim, Kuisoon;Jeong, Eunhwan
    • Journal of the Korean Society of Propulsion Engineers
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    • v.18 no.1
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    • pp.33-41
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    • 2014
  • In a supersonic turbine, A rotor overlap technique reduced the chance of chocking in the rotor passage, and made the design pressure ratio satisfied. However, the technique also made additional losses, like a pumping loss, expansion loss, etc. Therefore, an approximate optimization technique was appled to find the optimal shape of overlap which maximizes the improvement of the turbine performance. The design variables were shape factors of a rotor overlap. An optimal design for rotor overlap reduces leakage mass flow rate at tip clearance by about 50% and increases about 4% of total-static efficiency compared with the base model. It was found that the most effective design variable is the tip overlap and that the hub overlap size is the lowest.

Optimal Stacking Sequence Design of Laminated Composites under Buckling Loads (좌굴하중하에서 복합적층판의 최적 적층 설계)

  • 윤성진;김관영;황운봉;하성규
    • Korean Journal of Computational Design and Engineering
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    • v.1 no.2
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    • pp.107-121
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    • 1996
  • An optimization procedure is proposed to determine the optimal stacking sequence on the buckling of laminated composite plates with midplane symmetry under various loading conditions. Classical lamination theory is used for the determination of the critical buckling load of simply supported angle-ply laminates. Analysis is performed by the Galerkin method and Rayleigh-Ritz method. The approximate solution of buckling is replaced by the algorithms that produce generalized eigenvalue problem. Direct search technique is employed to solve the optimization problem effectively. A series of computations is carried out for plates having different aspect ratios, different load ratios and different number of lay-ups.

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