• Title/Summary/Keyword: Structural Shape

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Variational Formulation for Shape Optimization of Spatial Beam Structures (정식화를 이용한 3차원 구조물의 형상 최적설계)

  • 최주호;김종수
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.123-130
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    • 2002
  • A general formulation for shape design sensitivity analysis over three dimensional beam structure is developed based on a variational formulation of the beam in linear elasticity. Sensitivity formula is derived based on variational equations in cartesian coordinates using the material derivative concept and adjoint variable method for the displacement and Von-Mises stress functionals. Shape variation is considered for the beam shape in general 3-dimensional direction as well as for the orientation angle of the beam cross section. In the sensitivity expression, the end points evaluation at each beam segment is added to the integral formula, which are summed over the entire structure. The sensitivity formula can be evaluated with generality and ease even by employing piecewise linear design velocity field despite the bending model is fourth order differential equation. For the numerical implementation, commercial software ANSYS is used as analysis tool for the primal and adjoint analysis. Once the design variable set is defined using ANSYS language, shape and orientation variation vector at each node is generated by making finite difference to the shape with respect to each design parameter, and is used for the computation of sensitivity formula. Several numerical examples are taken to show the advantage of the method, in which the accuracy of the sensitivity is evaluated. The results are found excellent even by employing a simple linear function for the design velocity evaluation. Shape optimization is carried out for the geometric design of an archgrid and tilted bridge, which is to minimize maximum stress over the structure while maintaining constant weight. In conclusion, the proposed formulation is a useful and easy tool in finding optimum shape in a variety of the spatial frame structures.

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Structural Analysis of High Pressure Injection Nozzle (고압 분사노즐의 구조해석)

  • 원종진;이종선;윤희중;김형철
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.10a
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    • pp.69-74
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    • 2002
  • This study is object to structural analysis of high pressure injection nozzle. The finite element model was developed to compute the stress, strain for high pressure injection nozzle. For structural analysis using result from FEM code. This structural analysis results, many variables such as internal pressure, boundary condition, constraint condition and load condition are considered.

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Estimation of Structural Deformed Shapes Using Limited Number of Displacement Measurements (한정된 계측 변위를 이용한 구조물 변형 형상 추정)

  • Choi, Junho;Kim, Seungjun;Han, Seungryong;Kang, Youngjong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.4
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    • pp.1295-1302
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    • 2013
  • The structural deformed shape is important information to structural analysis. If the sufficient measuring points are secured at the structural monitoring system, reasonable and accurate structural deformation shapes can be obtained and structural analysis is possible using this deformation. However, the accurate estimation of the global structural shapes might be difficult if sufficient measuring points are not secure under cost limitations. In this study, SFSM-LS algorithm, the economic and effective estimation method for the structural deformation shapes with limited displacement measuring points is developed and suggested. In the suggested method, the global structural deformation shape is determined by the superposition of the pre-investigated structural deformed shapes obtained by preliminary FE analyses, with their optimum weight factors which lead minimization of the estimate errors. 2-span continuous bridge model is used to verify developed algorithm and parametric studies are performed. By the parametric studies, the characteristics of the estimation results obtained by the suggested method were investigated considering essential parameters such as pre-investigated structural shapes, locations and numbers of displacement measuring points. By quantitative comparison of estimation results with the conventional methods such as polynomial, Lagrange and spline interpolation, the applicability and accuracy of the suggested method was validated.

A Convergent Investigation on Structural Analysis with Thermal Stress at the Shape of Brake Disk for Racing Car (경주용 자동차 브레이크 디스크 형상에서의 열 응력 및 구조 해석에 관한 융합 연구)

  • Oh, Bum-Suk;Cho, Jae-Ung
    • Journal of the Korea Convergence Society
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    • v.11 no.6
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    • pp.209-213
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    • 2020
  • In this study, the model A with the existing shape used at racing car and the model B with light weight were designed. The structural analysis with thermal deformation and stress were carried out. Model A shows that the maximum temperature is lower than model B. The cooling performance due to the shape of the disk without any other cooling conditions can be shown to be better for model A. Model A was seen to be superior in durability as the thermal stress reduced by almost twice as much as model B. The part where the greatest stress occurred appeared to be the hole jointed with the hub regardless of its shape. The analysis results at this study are seen to be useful at designing the shape of the actual vehicle brake disc. The analysis results obtained in this study can be applied at grasping the strength of the brake disk for racing car practically. By utilizing the analysis result of the brake disk for racing car, this study is seen as the convergence study that the aesthetic design and analysis are applied.

Bending Performance Evaluation of Hybrid Composite Beam with Low Depth and New Shape (춤이 작은 신형상 고성능 하이브리드 합성보의 휨성능 평가)

  • Kim, Sung Bae;Cho, Seong Hyun;Oh, Kwang Soo;Jeon, Yong Han;Choi, Young Han;Kim, Sang Seup
    • Journal of Korean Society of Steel Construction
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    • v.28 no.3
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    • pp.151-162
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    • 2016
  • This study developed the shape of low depth new shape high performance hybrid composite beam which is taken strengths and compensated the defect of composite beam and hybrid beam. Also, this study performed the monotonic test to evaluate the bending performance of Low depth shape by creating 12 bending specimens. Bending performance test result showed that capacity of the beam was increased stably. Also, it is possible to apply the existing evaluation equation(KBC 2009) of composite beam. Mechanical properties and structural performance of materials are considered when high-strength steel ($F_y=650MPa$) is applied to the bottom plate.

A Study on the Structural Controlling of Al-Si Alloy by Using Electromagnetic Vibration (전자기 진동을 이용한 Al-Si 합금의 조직 제어에 관한 연구)

  • Choi, Jung-Pyung;Kim, Ki-Bae;Nam, Tae-Woon;Yoon, Eui-Pak
    • Journal of Korea Foundry Society
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    • v.26 no.5
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    • pp.205-210
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    • 2006
  • The structural control of Al-Si alloy, which was not studied among various electromagnetic processing of materials, was considered applying the alternating current and direct current magnetic flux density. The main aim of the present study is to investigate the effects of electromagnetic vibration on the macro and microstructure of Al-Si alloy in order to develop a new process of structural control in Al-Si alloy. When the electromagnetic vibration is conducted for changing the shape of primary aluminum, at low frequency(>60Hz), the shape of dendrite is changed speroidal shape. When the electromagnetic vibration is conducted for changing the shape of eutectic silicon, the fact that a morphological change of the eutectic silicon from coarse platelet flakes to fine fiber shape is observed and the improvement of the mechanical properties is achieved with EMV (Electro Magnetic Vibration) process at high frequency(>500Hz).

Shape Optimization of Laminated Composite Shell for Various Layup Configurations (적층배열에 따른 복합재료 쉘의 형상최적화)

  • 김현철;노희열;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.317-324
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    • 2004
  • Shape design optimization of shell structure is implemented on a basis of integrated framework of geometric modeling and finite element analysis which is constructed on the geometrically exact shell theory. This shell theory enables more accurate and robust analysis for complicated shell structures, and it fits for the nature of B-spline function which Is popular modeling scheme in CAD field. Shape of laminated composite shells is optimized through genetic algorithm and sequential linear programming, because there ire numerous optima for various configurations, constraints, and searching paths. Sequential adaptation of global and local optimization makes the process more efficient. Two different optimized results of laminated composite shell structures to minimize strain energy are shown for different layup sequence.

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The Instability Behavior of Shallow Sinusoidal Arches(1) : Classification of Static Buckling According to Shape Characteristics (얕은 정현형 아치의 불안정 거동에 관한 연구(1) : 형상특성에 따른 정적좌굴의 분류)

  • 김승덕;박지윤;권택진
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.407-415
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    • 1999
  • There are two kinds of instability phenomena for shell-type structures which are snap-through and bifurcation buckling. These are very sensitive according to the shape characteristics including rise-span ratio and especially shape initial imperfection. In this study, the equilibrium path of shallow sinusoidal arches supported by hinges at both ends is investigated to grasp the instability behavior of shell-type structures with initial imperfection. The Galerkin method is used to get the nonlinear discretized equation of governing differential equation considering geometric nonlinearity of arches and the perturbation method is also used to transform the nonlinear equation to incremental form.

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Development of Optimum Design Technique for Bus Window Pillar Member (버스 윈도우 필라 부재의 형상 최적 설계기술 개발)

  • 김명한;김대성;임석현;서명원;배동호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.6
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    • pp.156-164
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    • 1999
  • The body structure of a bus is generally assembled by using various spot welded box sectional members. The shape of window pillar joint is ordinarily built up by T-type member. It has been shown that T-type member has problems like high stress concentrations, low fatigue strength and low structural rigidity. In this study, to solve these problems a new approach to optimize the design of the bus window pillar joint was tried by FEM analysis and experiments. To describe the shape of the gusset connecting the vertical and horizontal members of the T-type window pillar joint B-spline curve was adopted and this curve was optimized . It was found that the new model developed could effectively improve fatigue durability an structural rigidity.

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Shape Optimization of Energy Flow Problems Using Level Set Method (레벨 셋 기법을 이용한 에너지 흐름 문제의 형상 최적화)

  • Seung-Hyun, Ha;Seonho, Cho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.10a
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    • pp.411-418
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    • 2004
  • Using a level set method we develop a shape optimization method applied to energy flow problems in steady state. The boundaries are implicitly represented by the level set function obtainable from the 'Hamilton-Jacobi type' equation with the 'Up-wind scheme.' The developed method defines a Lagrangian function for the constrained optimization. It minimizes a generalized compliance, satisfying the constraint of allowable volume through the variations of implicit boundary. During the optimization, the boundary velocity to integrate the Hamilton-Jacobi equation is obtained from the optimality condition for the Lagrangian function. Compared with the established topology optimization method, the developed one has no numerical instability such as checkerboard problems and easy representation of topological shape variations.

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