• 제목/요약/키워드: adjoint variable

검색결과 101건 처리시간 0.028초

일반 평면 아치 구조물의 형상설계민감도 해석 및 최적설계 (Shape Design Sensitivity Analysis and Optimization of General Plane Arch Structures)

  • 최주호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.238-245
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    • 2000
  • A general formulation for shape design sensitivity analysis over a plane arch structure is developed based on a variational formulation of curved beam in linear elasticity. Sensitivity formula is derived using the material derivative concept and adjoint variable method for the stress defined at a local segment. Obtained sensitivity expression, which can be computed by simple algebraic manipulation of the solution variables, is well suited for numerical implementation since it does not involve numerical differentiation. Due to the complete description for the shape and its variation of the arch, the formulation can manage more complex design problems with ease and gives better optimum design than before. Several examples are taken to show the advantage of the method, in which the accuracy of the sensitivity is evaluated. Shape optimization is also conducted with two design problems to illustrate the excellent applicability.

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와전류 브레이크의 영구자석배열 최적설계 (Optimal Array Design of the Permanent Magnet in an Eddy Current Brake)

  • 최재석;유정훈
    • 대한기계학회논문집A
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    • 제33권7호
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    • pp.658-663
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    • 2009
  • Eddy current is usually generated in the material with high conductivity by time-varying source such as AC current and also is induced by the moving source with relative velocity. The contactless magnetic brake makes use of the braking force from the eddy current generated by the moving source and currently used for the secondary brakes of heavy trucks, buses and rail vehicles. This study aims to design the magnetization pattern of the eddy current brake system of a permanent magnet type where the design aim is to maximize the braking force. The analysis of brake systems is based on the two-dimensional finite element analysis. We use the sequential linear programming as the optimizer and the adjoint variable method is applied for the sensitivity analysis.

NURBS 곡면을 이용한 구조-유체 연성문제의 형상 최적설계 (Shape Design Optimization of Structure-Fluid Interaction Problems using NURBS Surfaces)

  • 장홍래;김민근;조선호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2010년도 정기 학술대회
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    • pp.508-511
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    • 2010
  • 본 논문에서는 정상상태 유체-구조 연성문제를 연속체 기반으로 정식화하고 유한요소법을 이용하여 완전 연성된 해를 구하였다. 대 변형을 고려하기 위하여 토탈 라그란지안 정식화를 사용하였으며 유체 및 구조의 비선형성이 고려되었다. 유체와 구조 영역의 형상을 NURBS 곡면을 이용하여 매개화하여 표현하였으며, 형상 최적화를 위해 효율적인 설계민감도 해석법인 애조인 기법을 이용하여 압력, 속도, 변위 등에 대한 설계민감도를 구하였다. 이를 이용하여 최소 컴플라이언스를 갖게 하는 구조물 내부의 유체영역의 설계 등의 수치예제를 통하여 개발된 방법론의 타당성을 확인하였다.

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매개화된 민감도 해석에 의한 비선형 전자소자의 3차원 형상최적화 (3D Shape Optimization of Nonlinear Electromagnetic Device Using Parameterized Sensitivity Analysis)

  • 류재섭;;고창섭
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제53권8호
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    • pp.469-476
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    • 2004
  • In this paper, a 3D shape optimization algorithm which guarantees a smooth optimal shape is presented using parameterized sensitivity analysis. The design surface is parameterized using Bezier spline and B-spline, and the control points of the spline are taken as the design variables. The parameterized sensitivity for the control points are found from that for nodal points. The design sensitivity and adjoint variable formulae are also derived for the 3D non-linear problems. Through an application to the shape optimization of 3D electromagnet to get a uniform magnetic field, the effectiveness of the proposed algorithm is shown.

전자기와 열전달을 고려한 단상유도모터의 다분야 위상최적설계 (Multi-objective Topology Optimization of Single Phase Induction Motor Considering Electromangetics and Heat Transfer)

  • 심호경;문희곤;왕세명;김명균
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 B
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    • pp.770-772
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    • 2004
  • This paper presents a new approach regarding thermal characteristics associated with a design of the high efficiency motor. The adjoint variable design sensitivity equations for both electromagnetics with respect to permeability and heat transfer considering conduction and convection terms are derived using the continuum method. For multi-objective topology optimization, FEA is validated in terms of electromagnetics and heat transfer by experiments. The proposed method is applied to a single-phase induction motor of the scroll compressor in order to control the direction of heat flow by maximizing/minimizing the temperature of the target area while maintaining the efficiency.

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매개화된 민감도 해석에 의한 3차원 비선형 모델의 형상 최적화 (3D Shape Optimization of Nonlinear Electromagnetic Device Using Parameterized Sensitivity Analysis)

  • 류재섭;고창섭;윤소남
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 하계학술대회 논문집 B
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    • pp.915-917
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    • 2003
  • In this paper, a 3D shape optimization algorithm which guarantees a smooth optimal shape is presented using parameterized sensitivity analysis. The design surface is parameterized using Bezier spline and the control points of the spline are taken as the design variables. The parameterized sensitivity for the control points are found from that for nodal Points. The design sensitivity and adjoint variable formulae are also derived for the 3D non-linear problems. Through an application to the shape optimization of 3D electromagnet to get a uniform magnetic field, the effectiveness of the proposed algorithm is shown.

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A Second-Order Design Sensitivity-Assisted Monte Carlo Simulation Method for Reliability Evaluation of the Electromagnetic Devices

  • Ren, Ziyan;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
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    • 제8권4호
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    • pp.780-786
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    • 2013
  • In the reliability-based design optimization of electromagnetic devices, the accurate and efficient reliability assessment method is very essential. The first-order sensitivity-assisted Monte Carlo Simulation is proposed in the former research. In order to improve its accuracy for wide application, in this paper, the second-order sensitivity analysis is presented by using the hybrid direct differentiation-adjoint variable method incorporated with the finite element method. By combining the second-order sensitivity with the Monte Carlo Simulation method, the second-order sensitivity-assisted Monte Carlo Simulation algorithm is proposed to implement reliability calculation. Through application to one superconductor magnetic energy storage system, its accuracy is validated by comparing calculation results with other methods.

열 유입률을 고려한 자계-열계 다목적 위상최적설계 (Multi-objective Topology Optimization of Magneto-Thermal Problem considering Heat Flow Rate)

  • 심호경;왕세명;문희곤
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 제38회 하계학술대회
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    • pp.138-139
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    • 2007
  • This research provides machine designers with some intuition to consider both, magnetic and heat transfer effects. A topological multi-objective function includes magnetic energy and heat inflow rate to the system, which equals to the total heat dissipation by conduction and convection. For the thermal field regarding the heat inflow, introduced as a reaction force, topology design sensitivity is derived by employing discrete equations. The adjoint variable method is used to avoid numerous sensitivity evaluations. As a numerical example, a C-core design excited by winding current demonstrates the strength of the multi-physical approach.

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유한요소법을 이용한 정상상태의 소성가공 공정의 최적설계-I - 이론적 고찰 (Process Optimal Design in Steady-State Metal Forming by Finite Finite Element Method-I Theoretical Considerations)

  • 전만수;황상무
    • 대한기계학회논문집
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    • 제16권3호
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    • pp.443-452
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    • 1992
  • 본 연구에서는 소성가공 공정의 최적설계를 위한 새로운 접근 방법이 소개 된다.이방법은 소성가공 공정의 유한요소해석 기술과 기계시스템의 최적설계 기술 에 바탕을 두고 있다. 벌칙 강소성유한요소법, 정상 상태의 소성가공 공정(steady -state metal forming process)을 위한 최적설계 문제의 수식화, 설계민감도의 해석 방법, 설계민감도의 정확성에 관한 고찰, 구배투영법(gradient projection emthod)등 이 본 논문에서 상세하게 소개된다.

구조물 진동제어를 위한 설계 민감도해석 및 최적설계 (Design Sensitivity Analysis and Optimal Design to Control Forced Harmonic Vibration of Structure)

  • 이재환;이광한
    • 대한조선학회논문집
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    • 제32권4호
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    • pp.64-72
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    • 1995
  • 본 연구에서는 조화기진력이 작용하는 구조물에서 보조변수법을 사용하여 치수설계 민감도가 계산되었다. 제한함수는 구조물의 진동응력이고 설계변수는 막구조의 두께, 보구조의 굽힘관성모멘트, 봉구조의 응력이며 신뢰성있는 민감도값이 계산되었다. 민감도값의 크기와 방향이 plot되어 응력에 민감한 부분이 인지되고 정확도는 유한차분치와 비교되었으며, 또한 계산된 민감도가 사용되어 three-bar 구조물의 제한조건이 만족되고 중량이 최소화되는 최적설계가 수행되었다.

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