• Title/Summary/Keyword: Adjoint Method

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Shape Optimal Design of Elastic Concrete Dam (탄성콘크리트 댐의 모양최적설계)

  • Yoo, Yung Myun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.4
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    • pp.9-14
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    • 1985
  • In this research mass of a plane strain two dimensional elastic concrete dam under gravitational and hydrostatic loads is minimized, through shape optimization of the dam cross section. Cross sectional area of the dam is taken as cost function of the optimization problem while constraints on the principal stress distribution and dam thickness are imposed. Shape of the boundary of the model is chosen as design variable. Variational formulation of the optimization problem, the material derivative idea of continuum mechanics, and an adjoint variable method are employed for the shape design sensitivity calculation. Then the gradient projection algorithm is utilized to obtain an optimum design iteratively. Research results fully demonstrate that the theory and procedure adopted are quite efficient and can be applicable to a wide class of practical elastic structural design problems.

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Multi-Point Aerodynamic Design Optimization of DLR F-6 Wing-Body-Nacelle-Pylon Configuration

  • Saitoh, Takashi;Kim, Hyoungjin;Takenaka, Keizo;Nakahashi, Kazuhiro
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.3
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    • pp.403-413
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    • 2017
  • Dual-point aerodynamic design optimization is conducted for DLR-F6 wing-body-nacelle-pylon configuration adopting an efficient surface mesh movement method for complex junction geometries. A three-dimensional unstructured Euler solver and its discrete adjoint code are utilized for flow and sensitivity analysis, respectively. Considered design conditions are a low-lift condition and a cruise condition in a transonic regime. Design objective is to minimize drag and reduce shock strength at both flow conditions. Shape deformation is made by variation of the section shapes of inboard wing and pylon, nacelle vertical location and nacelle pitch angle. Hicks-Henne shape functions are employed for deformation of the section shapes of wing and pylon. By the design optimization, drag coefficients were remarkably reduced at both design conditions retaining specified lift coefficient and satisfying other constraints. Two-point design results show mixed features of the one-point design results at low-lift condition and cruise conditions.

Acceleration of the Time-Dependent Radiative Transfer Calculations using Diffusion Approximation

  • Noh, Tae-Wan
    • Proceedings of the Korean Nuclear Society Conference
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    • 2004.10a
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    • pp.151-152
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    • 2004
  • An acceleration technique combined with the discrete ordinates method which has been widely used in the solution of neutron transport phenomena is applied to the solution of radiative transfer equation. The self-adjoint form of the second order radiation intensity equation is used to enhance the stability of the solution, and a new linearization method is developed to avoid the nonlinearity of the material temperature equation. This new acceleration method is applied to the well known Marshak wave problem, and the numerical result is compared with that of a non-accelerated calculation

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Topology Optimization of Pick-up Actuator of CD-ROM for Vibration Reduction (위상 최적 설계를 통한 CD-ROM 광 픽업 액추에이터의 진동 저감)

  • Wang, Se-Myung;Kim, Yong-Su;Park, Ky-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.479-484
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    • 2000
  • The topology optimization of electromagnetic systems is investigated and the TOPEM (Topology Optimization for Electromagnetic Systems) is developed using the finite element method (FEM). The design sensitivity equation for topology optimization is derived using the adjoint variable method. The proposed method is validated by applying it to the topology optimizations of a C-core actuator and an optical pickup actuator.

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Multi-domain Topology Optimization of Electromagnetic Systems (전자기 시스템 다영역 위상최적설계)

  • Wang, Se-Myung;Park, Seung-Kyu;Kang, Je-Nam
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.705-707
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    • 2003
  • The design of multi-domain that considers all components of the electromagnetic systems such as air, iron, magnet, and coil is investigated using the topology optimization, interpolation method, and FEM. The design sensitivity equation for the topology optimization is derived using the adjoint variable method and the continuum approach. The proposed method is applied to the topology optimization of C-core actuator.

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Design Sensitivity Analysis and Topology Optimization for Electromagnetic Force (전자기력에 대한 설계민감도 계산 및 위상 최적화)

  • Moon, Hee-Gon;Wang, Se-Myung
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.708-710
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    • 2003
  • This paper presents design sensitivity analysis for the electromagnetic force and torque obtained from Coulomb's virtual work method using the adjoint variable method. And virtual displacement field is calculated from a static structural analysis. Derived equations are verified by comparison with finite different method. And topology optimization for a c-core is given as a verification example.

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3-D Topology Optimization of Magneto-Thermal Systems (자계-열계 시스템의 3차원 위상최적설계)

  • Shim, Ho-Kyung;Wang, Se-Myung
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.939-941
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    • 2005
  • This research presents a 3D multi-objective approach regarding both magnetic and thermal characteristics associated with design of C-core actuator. The adjoint variable topology sensitivity equations are derived using the continuum method for three dimension. The sensitivity is verified using the Finite Difference Method(FDM). Convection interpolation function is proposed for density method of topologies such that convection term can be taken into consideration for practical design in the process of the optimization.

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Topology Optimization of Electromagnetic Systems with Two Materials (전자기 시스템에서 두 가지 물성치를 고려한 위상최적설계 기법)

  • Kang, Je-Nam;Wang, Se-Myung
    • Proceedings of the KIEE Conference
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    • 2002.07b
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    • pp.726-728
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    • 2002
  • The topology optimization of electromagnetic systems with two materials is investigated using the FEM. The design sensitivity equation for topology optimization is derived using the adjoint variable method and the continuum approach. The proposed method is applied to the topology optimization of C-core and compared to previous study with one material.

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Optimal Design to minimize Eddy Current Loss of Structure Part in Electrical Machines using Topology Optimization (위상최적화를 이용한 전기기기 구조부의 와전류손을 줄이는 최적설계)

  • Lee, Heon;Shim, Ho-Kyung;Wang, Se-Myung
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.655-656
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    • 2008
  • This research presents a topology optimization to minimize eddy current loss maintaining mechanical robustness of structure part in electrical machines A design sensitivity equation for the topology optimization is derived by employing the discrete system equations combined with the adjoint variable method. As a numerical example, frame design of a C-core actuator is performed by the proposed method.

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