• Title/Summary/Keyword: Optimum method

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Development of Pareto strategy multi-objective function method for the optimum design of ship structures

  • Na, Seung-Soo;Karr, Dale G.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.6
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    • pp.602-614
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    • 2016
  • It is necessary to develop an efficient optimization technique to perform optimum designs which have given design spaces, discrete design values and several design goals. As optimization techniques, direct search method and stochastic search method are widely used in designing of ship structures. The merit of the direct search method is to search the optimum points rapidly by considering the search direction, step size and convergence limit. And the merit of the stochastic search method is to obtain the global optimum points well by spreading points randomly entire the design spaces. In this paper, Pareto Strategy (PS) multi-objective function method is developed by considering the search direction based on Pareto optimal points, the step size, the convergence limit and the random number generation. The success points between just before and current Pareto optimal points are considered. PS method can also apply to the single objective function problems, and can consider the discrete design variables such as plate thickness, longitudinal space, web height and web space. The optimum design results are compared with existing Random Search (RS) multi-objective function method and Evolutionary Strategy (ES) multi-objective function method by performing the optimum designs of double bottom structure and double hull tanker which have discrete design values. Its superiority and effectiveness are shown by comparing the optimum results with those of RS method and ES method.

Optimum Design of Frame Structures Using Generalized Transfer Stiffness Coefficient Method and Genetic Algorithm (일반화 전달강성계수법과 유전알고리즘을 이용한 골조구조물의 최적설계)

  • Choi, Myung-Soo
    • Journal of Power System Engineering
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    • v.9 no.4
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    • pp.202-208
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    • 2005
  • The genetic algorithm (GA) which is one of the popular optimum algorithm has been used to solve a variety of optimum problems. Because it need not require the gradient of objective function and is easier to find global solution than gradient-based optimum algorithm using the gradient of objective function. However optimum method using the GA and the finite element method (FEM) takes many computational time to solve the optimum structural design problem which has a great number of design variables, constraints, and system with many degrees of freedom. In order to overcome the drawback of the optimum structural design using the GA and the FEM, the author developed a computer program which can optimize frame structures by using the GA and the generalized transfer stiffness coefficient method. In order to confirm the effectiveness of the developed program, it is applied to optimum design of plane frame structures. The computational results by the developed program were compared with those of iterative design.

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A hybrid simulated annealing and optimality criteria method for optimum design of RC buildings

  • Li, Gang;Lu, Haiyan;Liu, Xiang
    • Structural Engineering and Mechanics
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    • v.35 no.1
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    • pp.19-35
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    • 2010
  • This paper proposes a hybrid heuristic and criteria-based method of optimum design which combines the advantages of both the iterated simulated annealing (SA) algorithm and the rigorously derived optimality criteria (OC) for structural optimum design of reinforced concrete (RC) buildings under multi-load cases based on the current Chinese design codes. The entire optimum design procedure is divided into two parts: strength optimum design and stiffness optimum design. A modified SA with the strategy of adaptive feasible region is proposed to perform the discrete optimization of RC frame structures under the strength constraints. The optimum stiffness design is conducted using OC method with the optimum results of strength optimum design as the lower bounds of member size. The proposed method is integrated into the commercial software packages for building structural design, SATWE, and for finite element analysis, ANSYS, for practical applications. Finally, two practical frame-shear-wall structures (15-story and 30-story) are optimized to illustrate the effectiveness and practicality of the proposed optimum design method.

The Optimum Modification of Dynamic Characteristics of Stiffened Plate Structure Including the Number of Stiffener (보강재의 수를 포함한 보강판 구조물의 동특성의 최적변경)

  • 박성현;고재용
    • Journal of the Korean Institute of Navigation
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    • v.25 no.4
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    • pp.461-469
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    • 2001
  • The purpose of this paper is the optimum modification of dynamic characteristics of stiffened plate structure including the number of stiffener. This paper shows the optimum structural modification method by dynamic sensitivity analysis and quasi-least squares method and considers it's validity. In the method of the optimization, finite element method, sensitivity analysis and optimum structural modification method are used. The change of natural frequency and total weight are made to be an objective function. Thickness of plate, the number of stiffener and cross section moment of stiffener become a design variable. The dynamic characteristics of stiffened plate structure is analyzed using finite element method. Next, rate of change of dynamic characteristics by the change of design variable is calculated using the sensitivity analysis. Then, amount of change of design variable is calculated using optimum structural modification method. It is shown that the results are effective in the optimum modification for dynamic characteristics of the stiffened plate structure including the number of stiffener.

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Simplified method to design laterally loaded piles with optimum shape and length

  • Fenu, Luigi;Briseghella, Bruno;Marano, Giuseppe Carlo
    • Structural Engineering and Mechanics
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    • v.71 no.2
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    • pp.119-129
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    • 2019
  • Optimum shape and length of laterally loaded piles can be obtained with different optimization techniques. In particular, the Fully Stress Design method (FSD) is an optimality condition that allows to obtain the optimum shape of the pile, while the optimum length can be obtained through a transversality condition at the pile lower end. Using this technique, the structure is analysed by finite elements and shaped through the FSD method by contemporarily checking that the transversality condition is satisfied. In this paper it is noted that laterally loaded piles with optimum shape and length have some peculiar characteristics, depending on the type of cross-section, that allow to design them with simple calculations without using finite element analysis. Some examples illustrating the proposed simplified design method of laterally loaded piles with optimum shape and length are introduced.

An Experimental Study on the Shortest optimum time for Body Temperature measurement (체온측정에 필요한 최단적정시간규명을 위한 실험적 연구)

  • 홍여신;이선옥
    • Journal of Korean Academy of Nursing
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    • v.5 no.2
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    • pp.38-50
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    • 1975
  • This study was conducted to find the shortest optimum time for taking oral temperature and axillary temperature, which does not affect reliability of body temperature. For this purpose, first, the time at which all the samples are reaching maximum temperature is identified Second, the mean maximum temperature is compared with the mean temperature of each consecutive measurement by T-test to find the time at which no significant changes in temperature occurs along time sequence. Third, optimum temperatures are set at points of -0.2℉, -0.4℉, -0.6℉, -0.8℉, -1.0℉, -1.2℉, -1.4℉, from maximum temperature. A point of time at which 90% of samples reach at optimum temperature is identified and defined as optimum time. The study sample, a total of 164 cases were divided into two groups according to their measured body temperature. The group with body temperature below 37 $^{\circ}C$(A group) and above 37$^{\circ}$1'C (B group) were compared on the time required to reach maximum temperature and optimum temperature. The results are as follow. 1. The time required for total sample to reach maximum temperature was 13 minutes in both groups by oral method, 15 minutes in A group and 13 minutes in B group by axillary method. Time required for 90 % of cases reach maximum temperature by oral method was 10 minutes in both group. By axillary method, 12 minutes in A group. (Ref: table 2) 2. Statistical analysis by means of T-test, the time which does not show a significant change by oral method were 12 minutes in A group and 11 minutes in B group, and by axillary method 14 minutes in A group and 11 minutes in B group. (Ref: table 5, 6.) 3. Where optimum temperature was defined as maximum temperature minus 0.2 ℉, optimum time was found 8 minutes in both groups by oral method, and 11 minutes in A group and 9 minutes in B group by axillary method 4. Where optimum temperature was defined as maximum temperature minus 0.4 ℉, optimum time was found 7 minutes in A group and 6 minutes in B group by oral method, and 9 minutes in A group and 7 minutes in B group by axillary method 5. Where optimum temperature was defined as maximum temperature minus 0.8 ℉, optimum time was found 6 minutes in A group and 6 minutes in B group by axillary method (Ref: table 7, 8, 9, 10) 6. The commonly practiced temperature taking time, 3 minutes in oral method and 5 minutes in axillary method can be accepted as pertinent when physiological variation of body temperature at the mean level of -1, 2 ℉ is accepted. 7. The difference in time required to resister maximum temperature was compared between the group with body temperature below 37$^{\circ}C$ and above 37$^{\circ}$1'C, and found no significant difference in oral mettled and 1 - 4 minute difference in axillary method with shorter time requirement in feverish group.

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Optimum Design of the Intake Tower of Rerervoir -With Application of Strength Design Method- (저수지 취수탑의 최적설계에 관한 연구(II) -강도설계법을 중심으로-)

  • 김종옥;고재군
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.30 no.3
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    • pp.82-94
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    • 1988
  • A growing attention has been paid to the optimum design of structures in recent years. Most studies on the optimum design of reinforced concrete structures has been mainly focussed to the design of structural members such as beams, slabs and columns, and there exist few studies that deal with the optimum design of large-scale concrete shell structures. The purpose of the present investigation is, therefore, to set up an efficient optimum design method for the large-scale reinforced concrete cylindrical shell structures like intake tower of reservoir. The major design variables are the dimensions and steel areas of each member of structures. The construction cost which is compo8ed of the concrete, steel, and form work costs, respectively, is taken as the objective function. The constraint equations for the design of intake-tower are derived on the basis of strength design method. The results obtained are summarized as follows 1. The efficient optimlzation algorithrns which can execute the automatic optimum design of reinforced concrete intake tower based on the strength design method were developed. 2. Since the objective function and design variables were converged to their optimum values within the first or second iteration, the optimization algorithms developed in this study seem to be efficient and stable. 3. When using the strength design method, the construction cost could be saved about 9% compared with working stress design method. Therefore, the reliability of algorithm was proved. 4. The difference in construction cost between the optimum designs with substructures and with entire structure was found to be small and thus the optimum design with substructures may conveniently be used in practical design. 5. The major active constraints of each structural member were found to be the 'bending moment constraint for slab, the minimum longitudinal steel ratio constraint for tower body and the shearing force, bending moment and maximum eccentricity constraints for footing, respectively. 6. The computer program developed in the present study can be effectively used even by an uneiperienced designer for the optimum design of reinforced concrete intake-tower on the basis of strength design method.

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Optimum Design of Cantilever Retaining Wall (켄틸레버 옹벽의 최적 설계)

  • 김종옥
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.37 no.1
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    • pp.90-99
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    • 1995
  • In this study, the algorithm for the optimum design of cantilever retaining wall was de veloped and solved using Modified Method of Feasible Directions(MMFD), Sequential Linear Programming(SLP) and Sequential Quadratic Programming(SQP). The algorithm was applied to the optimum design of 3-different height cantilever re tairing walls. It was shown that even though the starting points and optimization strategies are dif- ferent, the objective function and optimum design variables converge to within a close range, and consequently the reliability and efficiency of the underlying optimum design algorithm can be verified. It is expected that the optimum design algorithm developed in this study can be utilized efficiently for the optimum design of any scale cantilever retaining wall. Using optimum design method, cantilever retaining wall will be designed more economi- cally and reasonably than using traditional design method.

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Reasonable Optimum Design of Prestressed Concrete Structures (프리스트레스트 콘크리트 구조물의 합리적인 최적설계)

  • Kim, Jong-Ok
    • Journal of The Korean Society of Agricultural Engineers
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    • v.46 no.2
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    • pp.77-89
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    • 2004
  • This study was carried out to find out the reasonable optimum design method for the design of prestressed concrete structures. The optimum design problems were formulated and computer programs to solve these problems were developed. To test the reliablity, efficiency, possibility of application and reasonablity of optimum design problems and computer programs, both continuous optimization method and mixed-discrete optimization method were applied to the design of prestressed concrete composite girder and application results were discussed. It is proved that mixed-discrete optimization method is more reliable, efficient and reasonable than continuous optimization method for the optimum design of prestressed concrete structures.

Implicit/Explicit Finite Element Method for Euler Flows Inside the Optimum Nozzle (내/외재적 유한요소법을 이용한 최대추력노즐의 설계해석)

  • Yoon W. S.;Kho H.
    • Journal of computational fluids engineering
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    • v.2 no.1
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    • pp.66-72
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    • 1997
  • Optimum nozzle design exploiting the method of characteristic(M.O.C) has been in application as an efficient design methodology targeting a less weighted and short expansion nozzle. This paper treats the optimum nozzle design and the analysis of the inviscid compressible flow inside. Based on traditional Rao's method, the optimum nozzle design is coded with minor modifications for the identification of the control surface across which the mass flux should be conserved. Internal flow field is simulated numerically by M.O.C and implicit/explicit Taylor-Galerkin finite element method(F.E.M) with the aid of adaptive remeshing to capture the shock wave, hence improve the accuracy. Designed and calculated flow fields due to the separate analyses show that the mass flux predicted by optimum nozzle design with M.O.C is not conserved across the control surface and the sonic line should be located upstream of the nozzle throat. Rao's optimum nozzle design methodology exaggerates the momentum thrust and tends to overemphasize the engine performance loss.

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