• Title/Summary/Keyword: Multi-criteria optimization

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Compliant Mechanism Design with Geometrical Advantage (입 . 출력변위비를 고려한 컴플라이언트 메커니즘 설계)

  • Kim, Young-Gi;Min, Seung-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.5
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    • pp.764-771
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    • 2003
  • To control the motion generated by a compliant mechanism the design method using specified geometrical advantage is proposed. The optimization problem is formulated to minimize the difference between the specified and the current geometrical advantage of a mechanism and topology optimization is applied to determine the layout of a mechanism. The results of several test problems including a displacement converter design and a gripper design are compared with a multi-criteria model and show that the design of an accurate compliant mechanism with specified geometrical advantage can be obtained.

Head Slider Designs Using Approximation Methods

  • Yoon, Sang-Joon;Park, Dong-Hoon
    • Journal of Mechanical Science and Technology
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    • v.18 no.1
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    • pp.37-44
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    • 2004
  • This paper presents an approach to optimally design the air bearing surface (ABS) of the head slider by using the approximation methods. The reduced basis concept is used to reduce the number of design variables. In the numerical calculation, the progressive quadratic response surface modeling (PQRSM) is used to handle the non-smooth and discontinuous cost function. A multi-criteria optimization problem is formulated to enhance the flying performances over the entire recording band during the steady state and track seek operations. The optimal solutions of the sliders, whose target flying heights are 12 nm and 9 nm, are automatically obtained. The flying heights during the steady state operation become closer to the target values and the flying height variations during the track seek operation are smaller than those for the initial one. The pitch and roll angles are also kept within suitable ranges over the recording band.

Multi-dimensional sensor placement optimization for Canton Tower focusing on application demands

  • Yi, Ting-Hua;Li, Hong-Nan;Wang, Xiang
    • Smart Structures and Systems
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    • v.12 no.3_4
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    • pp.235-250
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    • 2013
  • Optimal sensor placement (OSP) technique plays a key role in the structural health monitoring (SHM) of large-scale structures. According to the mathematical background and implicit assumptions made in the triaxial effective independence (EfI) method, this paper presents a novel multi-dimensional OSP method for the Canton Tower focusing on application demands. In contrast to existing methods, the presented method renders the corresponding target mode shape partitions as linearly independent as possible and, at the same time, maintains the stability of the modal matrix in the iteration process. The modal assurance criterion (MAC), determinant of the Fisher Information Matrix (FIM) and condition number of the FIM have been taken as the optimal criteria, respectively, to demonstrate the feasibility and effectiveness of the proposed method. Numerical investigations suggest that the proposed method outperforms the original EfI method in all instances as expected, which is looked forward to be even more pronounced should it be used for other multi-dimensional optimization problems.

Beamforming Optimization for Multiuser Two-Tier Networks

  • Jeong, Young-Min;Quek, Tony Q.S.;Shin, Hyun-Dong
    • Journal of Communications and Networks
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    • v.13 no.4
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    • pp.327-338
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    • 2011
  • With the incitation to reduce power consumption and the aggressive reuse of spectral resources, there is an inevitable trend towards the deployment of small-cell networks by decomposing a traditional single-tier network into a multi-tier network with very high throughput per network area. However, this cell size reduction increases the complexity of network operation and the severity of cross-tier interference. In this paper, we consider a downlink two-tier network comprising of a multiple-antenna macrocell base station and a single femtocell access point, each serving multiples users with a single antenna. In this scenario, we treat the following beamforming optimization problems: i) Total transmit power minimization problem; ii) mean-square error balancing problem; and iii) interference power minimization problem. In the presence of perfect channel state information (CSI), we formulate the optimization algorithms in a centralized manner and determine the optimal beamformers using standard convex optimization techniques. In addition, we propose semi-decentralized algorithms to overcome the drawback of centralized design by introducing the signal-to-leakage plus noise ratio criteria. Taking into account imperfect CSI for both centralized and semi-decentralized approaches, we also propose robust algorithms tailored by the worst-case design to mitigate the effect of channel uncertainty. Finally, numerical results are presented to validate our proposed algorithms.

Two-stage layout-size optimization method for prow stiffeners

  • Liu, Zhijun;Cho, Shingo;Takezawa, Akihiro;Zhang, Xiaopeng;Kitamura, Mitsuru
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.1
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    • pp.44-51
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    • 2019
  • Designing sophisticate ship structures that satisfy several design criteria simultaneously with minimum weight and cost is an important engineering issue. For a ship structure composed of a shell and stiffeners, this issue is more serious because their mutual effect has to be addressed. In this study, a two-stage optimization method is proposed for the conceptual design of stiffeners in a ship's prow. In the first stage, a topology optimization method is used to determine a potential stiffener distribution based on the optimal results, whereupon stiffeners are constructed according to stiffener generative theory and the material distribution. In the second stage, size optimization is conducted to optimize the plate and stiffener sections simultaneously based on a parametric model. A final analysis model of the ship-prow structure is presented to assess the validity of this method. The analysis results show that the two-stage optimization method is effective for stiffener conceptual design, which provides a reference for designing actual stiffeners for ship hulls.

An Experience on the Topology Optimization of Simply Supported Deep Beam Structure with Multi-Load Cases (다하중 경우를 가지는 단순 지지된 깊은 보의 위상최적화에 대한 경험)

  • Lee, Sang-Jin;Park, Gyeong-Im
    • Journal of Korean Association for Spatial Structures
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    • v.5 no.3 s.17
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    • pp.83-89
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    • 2005
  • This paper provides the results of the investigation on the optimum topology of simply supported deep beam structures with multi-point load cases. In this study, the strain energy to be minimized is considered as the objective function and the initial volume of structures is used as the constraint function. The resizing algorithm based on the optimality criteria is adopted to update the hole size existing inside the material. In this study, the sensitivities of topology optimization parameters to the optimum topology of the deep bean structures is investigated and also the effect of filtering process on the optimum topology is thoroughly tested. From numerical tests, the optimum topology of the deep beam is closely related with the optimization parameters used in the iteration and the filtering process play important role in order to find the optimum topology of the deep beam.

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Muti-Objective Design Optimization of Self-Compacting Concrete using CCD Experimental Design and Weighted Multiple Objectives Considering Cost-Effectiveness (비용효율을 고려한 자기 충전형 콘크리트의 CCD 실험설계법 및 가중 다목적성 기반 다목적설계최적화(MODO))

  • Do, Jeongyun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.24 no.3
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    • pp.26-38
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    • 2020
  • Mixture design of self-compacting concrete is a typical multi-criteria decision making problem and conventional mixture designs are based on the low level engineering method like trials and errors through iteration method to satisfy the various requirements. This study concerns with performing the straightforward multiobjective design optimization of economic SCC mixture considering relative importances of the various requirements and cost-effectives of SCC. Total five requirements of 28day compressive strength, filling ability, segregation stability, material cost and mass were taken into consideration to prepare the objective function to be formulated in form of the weighted-multiobjective mixture design optimization problem. Economic SCC mixture computational design can be given in a rational way which considering material costs and the relative importances of the requiremets and from the result of this study it is expected that the development of SCC mixtue computational design and the consequent univeral concrete material design optimization methodology can be advanced.

Topology Optimization for Large-displacement Compliant Mechanisms Using Element Free Galerkin Method

  • Du, Yixian;Chen, Liping
    • International Journal of CAD/CAM
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    • v.8 no.1
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    • pp.1-10
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    • 2009
  • This paper presents a topology optimization approach using element-free Galerkin method (EFGM) for the optimal design of compliant mechanisms with geometrically non-linearity. Meshless method has an advantage over the finite element method(FEM) because it is more capable of handling large deformation resulted from geometrical nonlinearity. Therefore, in this paper, EFGM is employed to discretize the governing equations and the bulk density field. The sensitivity analysis of the optimization problem is performed by incorporating the adjoint approach with the meshless method. The Lagrange multipliers method adjusted for imposition of both the concentrated and continuous essential boundary conditions in the EFGM is proposed in details. The optimization mathematical formulation is developed to convert the multi-criteria problem to an equivalent single-objective problem. The popularly applied interpolation scheme, solid isotropic material with penalization (SIMP), is used to indicate the dependence of material property upon on pseudo densities discretized to the integration points. A well studied numerical example has been applied to demonstrate the proposed approach works very well and the non-linear EFGM can obtain the better topologies than the linear EFGM to design large-displacement compliant mechanisms.

Coordination of SVC and External Reactor/Capacitor Banks Using Multi-objective (다목적 유전자 알고리즘을 이용한 SVC와 외부 리액터/커패시터 뱅크의 헙조 제어)

  • Park, Jong-Young;Lee, Sang-Ho;Park, Jong-Keun;Son, Kwang-Myoung;Lee, Song-Keun
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.233-235
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    • 2000
  • SVC(Static Var Compensator) is commonly installed with conventional mechanically switched existing reactor or capacitor banks for wide range voltage control. The frequencies of switching of external banks have a great impact on the quality of voltage, but is limited since the life time of the external banks depends severely on the number of switching. So it is a complete multi-objective nonlinear optimization problem with conflicting objectives. This paper presents a method to determine the optimal coordination of SVC and external banks using genetic algorithm based on the multi-objective criteria. Optimal dead band and delay time of external banks is sought for reliable and efficient operation

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Pareto RBF network ensemble using multi-objective evolutionary computation

  • Kondo, Nobuhiko;Hatanaka, Toshiharu;Uosaki, Katsuji
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.925-930
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    • 2005
  • In this paper, evolutionary multi-objective selection method of RBF networks structure is considered. The candidates of RBF network structure are encoded into the chromosomes in GAs. Then, they evolve toward Pareto-optimal front defined by several objective functions concerning with model accuracy and model complexity. An ensemble network constructed by such Pareto-optimal models is also considered in this paper. Some numerical simulation results indicate that the ensemble network is much robust for the case of existence of outliers or lack of data, than one selected in the sense of information criteria.

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