• Structural Engineering and Mechanics
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• 제24권4호
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• pp.479-491
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• 2006

This paper deals with optimal fibre orientations of symmetrically laminated fibre reinforced composite structures for maximising the fundamental frequency of small-amplitude. A set of fiber orientation angles in the layers are considered as design variable. The Modified Feasible Direction method is used in order to obtain the optimal designs. The effects of number of layers, boundary conditions, laminate thicknesses, aspect ratios and in-plane loads on the optimal designs are studied.

• 한국항공우주학회지
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• 제31권1호
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• pp.1-7
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• 2003

익형에 대한 공력 최적설계 프로그램을 개발하였으며, 점성 유동장에 대한 보다 정확한 정보를 설계에 반영하기 위하여 나비어-스톡스 방정식을 사용하였다. 최적설계 방법으로는 민감도 해석을 위하여 수정유용방향탐색방법(Modified Method of Feasible Directions, MMFD)을 사용하였으며 이동거리 계산을 위하여 다항식 보간법을 사용하였다. 또한 설계시간을 단축하기 위하여 MPI를 사용하여 병렬화하였다. 전체 유동장을 8개의 영역으로 분할하였으며 분할된 영역은 지정된 프로세서에 할당하여 계산을 수행하였다. 민감도 계산을 위하여 각 프로세서에 할당하여 계산을 수행하였다. 민감도 계산을 위하여 각 프로세서에 각 탐색방향을 할당하여 민감도를 병렬계산하였다. 본 연구의 수행 결과 양력은 허용한도 내의 일정한 값을 유지하는 가운데 항력이 감소된 최적화된 익형의 형상을 설계할 수 있었다.

• Steel and Composite Structures
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• 제13권3호
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• pp.207-223
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• 2012

This paper deals with critical thermal buckling load optimization of symmetrically laminated four layered angle-ply plates with one or two different intermediate line supports. The design objective is the maximization of the critical thermal buckling load and a design variable is the fibre orientation in the layers. The first order shear deformation theory and nine-node isoparametric finite element model are used for the finite element solution of the laminates. The modified feasible direction (MFD) method is used for the optimization routine. For this purpose, a program based on FORTRAN is used. Finally, the numerical analysis is carried out to investigate the effects of location of the internal line supports, plate aspect ratios and boundary conditions on the optimal designs and the results are compared.

• Structural Engineering and Mechanics
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• 제62권1호
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• pp.107-111
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• 2017

This paper deals with critical buckling load optimization of symmetric angle-ply laminated stepped flat columns under axial compression load. The design objective is the maximization of the critical buckling load and the design variable is the fiber orientations in the layers of the laminates. The classical laminate plate theory is used for the finite element solution of the laminated stepped flat columns. The modified feasible direction (MFD) method is used for the optimization routine. For this purpose, a program based on FORTRAN is exploited. Finally, the optimization results are presented for width ratios (b/B), ratios of fillet radius ($r_1/r_2$), aspect ratios (L/B) and boundary conditions. The results are presented in graphical and tabular forms and the results are compared.

• 유체기계공업학회:학술대회논문집
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• 유체기계공업학회 2001년도 유체기계 연구개발 발표회 논문집
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• pp.293-299
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• 2001

Since the previous cut-and-try design algorithm require much cost and time, it has recently been concerned the automatic design technique using the CFD and optimum design algorithm. In this study, the Navier-Stokes equations is solved to consider the more detail viscous flow informations of cascade interaction and O-H multiblock grid system is generated to impose an accurate boundary condition. The cubic-spline interpolation is applied to handle a relative motion of a rotor to the stator. To validate present procedure, the time averaged aerodynamic loads are compared with experiment and good agreement obtained. Once the N-S equations have been solved, the computed aerodynamic loads may be used to computed the sensitivities of the aerodynamic objective function. The Modified Method of feasible Direction(MMFD) is usef to compute the

• 한국유체기계학회 논문집
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• 제5권3호
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• pp.40-45
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• 2002

Since the previous cut-and-try design algorithm requires much cost and time, the automated design technique with the CFD and optimum design algorithm has recently been concerned. In this work, the Navier-Stokes equation was solved to gain more detailed viscous flow information of cascade with rotor-stator interactions. The H-grid embedded by O-grid was generated to obtain more accurate solution by eliminating the branch cut of H-grid near airfoil surface. To handle the relative motion of the rotor to the stationary stator, the sliding multiblock method was applied and the cubic-spline interpolation was used on the block interface boundary. To validate present procedure, the time-averaged aerodynamic loads were compared with experimeatal data. A good agreement was obtained. The Modified Method of Feasible Direction (MMFD) was used to carry out the sensitivity analysis of the change of aerodynamic performance by the changes of the cascade geometry. The present optimization of the cascade gave a dramatic reduction of the drag while the lift maintains at the value within the user-specified tolerance.

• 대한조선학회논문집
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• 제47권3호
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• pp.430-437
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• 2010

In this paper, we develop a shape design optimization method for thermo-elastoplasticity problems that is applicable to the welding or thermal deformation problems of ship structures. Shell elements and a programming language APDL in a commercial finite element analysis code, ANSYS, are employed in the shape optimization. The point of developed method is to determine the design parameters such that the deformed shape after welding fits very well to a desired design. The geometric parameters of surfaces are selected as the design parameters. The modified method of feasible direction (MMFD) and finite difference sensitivity are used for the optimization algorithm. Two numerical examples demonstrate that the developed shape design method is applicable to existing hull structures and effective for the structural design of ships.

• 한국강구조학회 논문집
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• 제16권6호통권73호
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• pp.819-832
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• 2004

본 연구는 구조물의 형상 최적화를 효율적이면서 보다 용이하게 수행할 수 있는 기법을 제안하고자 하였다. 구조물의 형상 표현과 설계변수 선택을 위해 설계요소 개념을 활용하여 설계변수 수를 과감하게 줄일 수 있었고, 등매개변수 사상기법을 이용하여 최적화 과정 중 형상의 변화에 따른 유한요소망을 자동생성 하였으며 효율적인 최적화 과정 수행을 위하여 결정론적 최적화 기법(개선된 허용방향법)과 스토캐스틱 최적화 기법(유전 알고리즘)을 사용하여 그 결과와 효율성을 비교하였다. 최적화 과정 중 구조해석은 유한요소법을 이용하며 구조물의 부피와 단면적 등을 목적함수로 하여 형상 최적화를 수행하였다. 또한 제작성과 시공성을 위한 최종형상 제시를 위하여 최적형상에 완화곡선 처리를 시도하였다. 이상의 연구를 강구조물을 대상으로 한 몇 가지 수치 예에 적용한 결과 설계과정을 보다 단순화시켰으며, 두 가지 기법 모두 최적해에 수렴함으로써 목적함수 값을 효과적으로 개선시킬 수 있었다. 따라서 본 연구는 그 타당성과 적용성이 있다고 판명된다.

• 한국강구조학회 논문집
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• 제16권1호통권68호
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• pp.123-134
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• 2004

본 연구에서는 효율적인 형상최적화를 위해 다단계 분할기법으로 트러스 구조물의 형상 최적화를 시도하였다. 1단계에서는 단면적을 설계변수로 하여 중량, 또는 체적을 목적함수로 하고 다하중 재하조건 하의 거동제약조건과 부가적인 제약조건을 고려하여 비선형 최적화 문제를 형성한다. 이 비선형 계획문제를 축차 선형계획 문제로 변환하여 개선된 허용방향법으로 최적화하였다. 이때 필요한 도함수는 다른 연구와 달리 효율적이라고 알려진 거동공간법으로 구하였고, 최적화 과정 중 이를 이용하여 부재력를 근사화 함으로써 계산의 효율성을 높였다. 2단계에서는 형상 설계변수만을 고려한 무제약 최적화 문제로 형성한 후 일방향 탐사기법을 적용하여 형상을 최적화하였다. 이와 같이 구성된 본 연구의 알고리즘을 몇 가지 트러스 구조물에 적용하여 본 알고리즘의 적용성과 효율성 및 타당성을 증명하였다.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2004년도 봄 학술발표회 논문집
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• pp.119-126
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• 2004

A continuum-based design sensitivity analysis and topology optimization methods are developed for power flow analysis. Efficient adjoint sensitivity analysis method is employed and further extended to topology optimization problems. Young's moduli of all the finite elements are selected as design variables and parameterized using a bulk material density function. The objective function and constraint are an energy compliance of the system and an allowable volume fraction, respectively. A gradient-based optimization, the modified method of feasible direction, is used to obtain the optimal material layout. Through several numerical examples, we notice that the developed design sensitivity analysis method is very accurate and efficient compared with the finite difference sensitivity. Also, the topology optimization method provides physically meaningful results. The developed is design sensitivity analysis method is very useful to systematically predict the impact on the design variations. Furthermore, the topology optimization method can be utilized in the layout design of structural systems.