• Title/Summary/Keyword: Optimal design formulation

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Pareto optimum design of laminated composite truncated circular conical shells

  • Topal, Umut
    • Steel and Composite Structures
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    • v.14 no.4
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    • pp.397-408
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    • 2013
  • This paper deals with multiobjective optimization of symmetrically laminated composite truncated circular conical shells subjected to external uniform pressure load and thermal load. The design objective is the maximization of the weighted sum of the critical buckling load and fundamental frequency. The design variable is the fibre orientations in the layers. The performance index is formulated as the weighted sum of individual objectives in order to obtain optimal solutions of the design problem. The first-order shear deformation theory (FSDT) is used in the mathematical formulation of laminated truncated conical shells. Finally, the effect of different weighting factors, length-to-radius ratio, semi-cone angle and boundary conditions on the optimal design is investigated and the results are compared.

An Optimal Design of Paddy Irrigation Water Distribution System (논관개용 관수로시스템의 최적설계)

  • 안태진;박정응
    • Water for future
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    • v.27 no.4
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    • pp.161-171
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    • 1994
  • The water distribution system problem consists of finding a minimum cost system design subject to hydraulic and operation constraints. The design of new branching network in a paddy irrigation system is presented here. The program based on the linear programming formulation is aimed at finding the optimal economical combination of two main factors: the capital cost of pipe network and the energy cost. Two loading conditions and booster pumps for design of pipe network are considered to obtain the least cost design.

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Optimization of an Engine Mount System of passenger Car using the Multi-domain FRF-based Substructuring Method (다중 전달함수합성법을 이용한 승용차 엔진마운트 시스템의 최적설계)

  • 이두호;황우석
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.399-404
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    • 2002
  • Analyzing acoustic-structural systems such as automobiles and aircraft the FRF-based substructuring method is one of the most powerful tools. In this paper, an optimization procedure far the engine mount system of passenger car has been presented using the design sensitivity analysis based on the multi-domain FRF-based substructuring formulation. The proposed method is applied to an optimization problem of the engine mount system, of which objective is to minimize the interior sound over the concerned rpm range. The design variables selected are the stiffnesses of the engine mounts and bushes. Plugging the gradient information calculated by the proposed method into nonlinear optimization software, we can obtain the optimal stiffnesses of the engine mounts and bushings through design iterations. The optimized interior noise in the passenger car shows that the proposed method is very useful in the realistic situation.

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Genetic Algorithm Applied to Optimal Design of a Truss Structure (유전자 알고리즘을 이용한 트러스의 최적단면설계)

  • 허현행;박창훈;윤종열
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.10a
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    • pp.155-162
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    • 1997
  • Genetic algorithms(GA) are based on the principles of natural genetics and natural selection. The algorithm searches an optimum design point using information based on the fitness function evaluated for the population of many design points. An application of GA on optimal design of a truss structure is studied. The terminology and the operating procedures common in GA are formalized by establishing similarities between GA and genetics from biology. In using GA, (1) coding of the design variables, (2) formulation of the fitness function, (3) setting of the termination condition, and (4) establishment of the probabilities are essential. These four points are discussed in the paper.

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LQ-PID Controller Tuning for a Second-Order System with Time-Delay (시간지연을 갖는 2차 시스템의 LQ-PID제어기 동조)

  • Park, Taek-Seon;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.67-70
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    • 2002
  • This paper presents an optimal robust LQ-PID controller design method for a second order system with time-delay to meet design specifications. By LQR formulation of the second order system with time-delay, tuning parameters of PID controller are related by the weighting factors Q and R of cost function. The selection of the weighting factors Q and R are chosen to satisfy such the design specifications as overshoot and settling time.

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Optimal cross-section and configuration design of cyclic loaded elastic-plastic structures

  • Valido, Anibal J.;Sousa, Luis G.;Cardoso, J. Barradas
    • Structural Engineering and Mechanics
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    • v.4 no.1
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    • pp.25-35
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    • 1996
  • This paper describes a continuum variational formulation for design optimization of nonlinear structures in the elastic-plastic domain, where unloading and reloading of the structures are allowed to occur. The Total Lagrangian procedure is used for the description of the structural deformation. The direct differentiation approach is used to derive the sensitivities of the various structural response measures with respect to the design parameters. Since the material goes into the inelastic range and unloading and reloading of the structure are allowed to occur, the structural response is path dependent and an additional step is needed to integrate the constitutive equations. It can be shown, consequently, that design sensitivity analysis is also path-dependent. The theory has been discretized by the finite element technique and implemented in a structural analysis code. Mathematical programming approach is used for the optimization process. Numerical applications on trusses are performed, where cross-sectional areas and nodal point coordinates are treated as design variables. Optimal designs have been obtained and compared by using two different strategies: a two level strategy where the levels are defined accordingly the type of design variables, cross sectional areas or node coordinates, and optimizing simultaneously with respect to both types of design variables.

Design of Optimal Controller for TS Fuzzy Models and Its Application to Nonlinear Systems (TS 퍼지 모델을 이용한 최적 제어기 설계 및 비선형 시스템에서의 응용)

  • Chang, Wook;Joo, Young-Hoon;Park, Jin-Bae
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.2
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    • pp.68-73
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    • 2000
  • This paper addresses the analysis and design of fuzzy control systems for a class of complex nonlinear systems. Firstly, the nonlinear system is represented by Takagi-Sugeno(TS) fuzzy model and the global controller is constructed by compensating each linear model in the rule of TS fuzzy model. The design of conventional TS fuzzy-model-based controller is composed of two processes. One is to determine the static state feedback gain of each local model and the other is to validate the stability of the designed fuzzy controller. In this paper, we propose an alternative methods for the design of TS fuzzy-model-based controller. The design scheme is based on the extension of conventional optimal control theory to the design of TS fuzzy-model-based controller. By using the proposed method, the design and stability analysis of the TS fuzzy model-based controller is reduced to the problem of finding the solution of a set of algebraic Riccati equations. And we use the recently developed interior point method to find the solution of AREs, where AREs are recast as the LMI formulation. A numerical simulation example is given to show the effectiveness and feasibiltiy of the proposed fuzzy controller design method.

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Location Issue of Bearing and Unbalance Mass on the Balance Shaft for a Inline 4-Cylinder Engine (직렬 4기통 엔진용 밸런스 샤프트의 베어링 및 불평형 질량 위치 결정 문제)

  • Bae, Chul-Yong;Kim, Chan-Jung;Lee, Dong-Won;Kwon, Seong-Jin;Lee, Bong-Hyun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.3
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    • pp.277-283
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    • 2008
  • Balance shaft module contributes to reduce the engine-born vibration by compensating it from a unbalance mass with opposite phase but practically, this device has some problems during the operation in a high speed owing to the considerable amount of unbalance mass that leads to the large quantity of bending deformation as well as torque fluctuation at the balance shaft. To tackle two main problems, the design strategy on balance shaft is suggested by addressing the optimal location of unbalance mass and supporting hearing based on the formulation of objective function that minimizes critical issues, both bending deformation as well as torque fluctuation. The boundary condition of balance shaft assumes to be free such that any external force or contact component is not taken into consideration in this study.

Optimal Design of Cylindrically Laminated Composite Shells for Strength (강도를 고려한 원통형 복합재료 구조물의 최적설계)

  • Kim, Chang-Wan;Hwang, Un-Bong;Park, Hyeon-Cheol;Shin, Dae-Sik;Park, Ui-Dong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.3
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    • pp.775-787
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    • 1996
  • An optimization procedure is proposed for the design of cylindrically laminated composite shell having midplane symmetry and subjected to axial force, torsion and internal pressure. Tsai-Wu and Tsai-Hill failure criteria are taken as objective functions. The stacking sequence represents the design variable. The optimal design formulation based on state space method is adopted and solution proccedure is described with the emphasis on the method of calculations of the design sensitivities. A gradient projection algorithm is employed for the optimization process. Numerical results are presented for the several test problems.

Ultra high precision Dual stage system Using Air bearing and VCM for Nano level Scanning (VCM을 이용한 나노 정밀도 스캐닝 용 초정밀 이중 스테이지)

  • Kim Ki-Hyun;Gweon Dae-Gab;Choi Young-Man;Kim Dong-Min;Nam Byoung-Uk;Lee Suk-Won;Lee Moon-Gu
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.5 s.170
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    • pp.103-112
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    • 2005
  • This paper presents one-axis high precision scanning system and illustrates the design of modified $X-Y-{\theta}$ stage as a tracker using VCM and commercialized air bearings for it. The scanning system for 100nm resolution is composed of the 3-axis stage and one axis long stroke linear motor stage as a follower. In this study a previous proposed and presented structure of VCM for the fine stage is modified. The tracker has 3 DOF($X-Y-{\theta}$ motions by four VCM actuators which are located on the same plane. So 4 actuating forces are suggested and designed to create least pitch and roll motions. This article will show about the design especially about optimal design. The design focus of this fine stage is to have high acceleration to accomplish high throughput. The optimal design of maximizing acceleration is performed in restrained size. The most sensitive constraint of this optimal design is heat dissipation of coil. There are 5 design variables. Because the relationship between design variables and system parameters are quite complicated, it is very difficult to set design variables manually. Due to it, computer based optimal design procedure using MATLAB is used. Then, this paper also describes the procedures of selecting design variables for the optimal design and a mathematical formulation of the optimization problem. Based on the solution of the optimization problem, the final design of the stage is also presented. The results can be verified by MAXWELL. The designed stage has the acceleration of about 5 $m/s^{2}$ with 40kg total mass including wafer chuck and interferometer mirror. And the temperature of coil is increased $50^{\circ}C$. In addition, the tracker is controlled by high precision controller system with HP interferometer for it and linear scaler for the follower. At that time, the scanning system has high precision resolution about 5nm and scanning resolution about 40nm in 25mm/s constant speed