• 제목/요약/키워드: Shape and Function

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NMR 吸收線 모양과 誘導磁氣自由減衰曲線 硏究에의 投影演算子法의 應用 (Application of the Projection Operator Technique to the Study of NMR Line Shape and Free Induction Decay Curve)

  • 이조웅;성낙준
    • 대한화학회지
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    • 제21권5호
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    • pp.362-371
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    • 1977
  • 이 論文에서는 NMR 吸收線과 FID 曲線의 모양을 硏究함에 있어서의 projection operation의 應用法을 探索하였다. 이 projection operator法은 NMR 吸收線과 FID 函數를 硏究하는데에 基礎가 되는 한 벌의 hierarchy equation들을 誘導하는데에 便利한 手段이 됨을 밝혔다. 逐次近似法이나 적당한 decoupling 近似를 쓰면 이들 方程式은 NMR 吸收線이나 FID 函數를 理論的으로 計算하는데에 좋은 出發點이 될 수 있을 것이다. NMR 吸收線에 對한 간단한 linear response theory의 考察과 吸收線과 FID 函數間의 關係도 記述하였다.

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α -절단법에 의한 다목적함수를 갖는 트러스 구조물의 형상최적화 (Shape Optimization of Truss Structures with Multiobjective Function by α -Cut Approach)

  • 양창용;이규원
    • 한국강구조학회 논문집
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    • 제9권3호통권32호
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    • pp.457-465
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    • 1997
  • 형상최적화는 단면최적화에 비하여 구조물의 중량과 경비를 줄일 수 있다. 많은 양의 애매한 정보가 최적설계 문제의 제약조건에 존재할 수도 있다. 상대적으로 중요한 퍼지정도를 포함한 여러개의 기준을 묘사하고 다루는 것은 매우 어렵고 때로는 애매하다. 본 논문에서는 ${\alpha}$-절단법에 의한 퍼지 구조계의 다목적 형상최적화에 대한 가중치방법을 제안한다. 본 연구의 알고리즘을 2부재 트러스 구조물에 적응하여 그 결과가 검토되었다. 그 결과는 ${\alpha}$-절단법과 체적과 변위에 관한 가중치에 따른 최적해를 얻음으로써 설계자는 실제에 적합한 하나의 해를 택할 수 있음을 보여준다.

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광탄성 실험 하이브리드 법에 의한 접촉응력 해석시 응력형상함수의 영향 (Influence of Stress Shape Function on Analysis of Contact Problem Using Hybrid Photoelasticity)

  • 신동철;황재석
    • 대한기계학회논문집A
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    • 제37권3호
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    • pp.345-352
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    • 2013
  • 본 논문에서는 광탄성 실험 하이브리드 법을 이용하여 접촉응력문제를 해석하는 경우의 응력형상 함수에 대해서 다루고 있다. 일반적으로 접촉응력문제는 반평면 문제로써 해석 되어지므로, 접촉응력의 경우 Airy 응력함수를 구성하는 두 해석적인 응력함수의 관계는 균열문제에서와 유사하였다. 그러나 이 관계를 그대로 접촉응력문제 (특히 특이점을 가진 경우)에 사용할 수가 없다. 그러므로 정확한 접촉문제의 해석을 위해 이들 두 해석적인 응력함수의 형태에 접촉하는 두 끝점의 조건에 따른 응력형상함수를 반드시 고려하여야만 할 것이다. 두 접촉끝점의 응력 특이성에 따라 4종류로 분류되는 이들 응력형상함수 중에서 오링 해석을 위한 중요한 두 종류의 응력형상함수를 선택하였으며, 이것의 유효성을 검증하였다.

Defect Shape Recovering by Parameter Estimation Arising in Eddy Current Testing

  • Kojima, Fumio
    • 비파괴검사학회지
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    • 제23권6호
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    • pp.622-634
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    • 2003
  • This paper is concerned with a computational method for recovering a crack shape of steam generator tubes of nuclear plants. Problems on the shape identification are discussed arising in the characterization of a structural defect in a conductor using data of eddy current inspection. A surface defect on the generator tube ran be detected as a probe impedance trajectory by scanning a pancake type coil. First, a mathematical model of the inspection process is derived from the Maxwell's equation. Second, the input and output relation is given by the approximate model by virtue of the hybrid use of the finite element and boundary element method. In that model, the crack shape is characterized by the unknown coefficients of the B-spline function which approximates the crack shape geometry. Finally, a parameter estimation technique is proposed for recovering the crack shape using data from the probe coil. The computational experiments were successfully tested with the laboratory data.

유동시스템의 형상 최적화에 성장-변형률법의 적용 (The Application of the Growth-Strain Method to the Shape Optimization of the Flow System)

  • 맹주성;한석영;김종필
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집B
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    • pp.533-538
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    • 2001
  • In general, shape optimization design of the flow system has done to obtain the effects, which are required in the engineering fields. Most of these designs are accomplished by empirical or numerical analysis. But, in empirical analysis case, it is difficult to obtain an optimal shape in the feasible design region. And, in numerical method case, it usually needs many design parameters, because of the required object-function. In this paper, we present a newly numerical analysis, the growth-strain method having only one design parameter. That optimizes a shape by distributing a design parameter such as dissipation energy to be uniformed in the flow system. Also, we apply this shape design process to the three-flow systems, and then we identify that the resulting shape approaches the known optimal shape in the numerical values. Consequently, we confirm that the proposed method is very efficient and practical in the shape optimization of the flow system.

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Noise Reduction Approach of Nonlinear Function for a Range Image using 2-D Kalman Filtering Method

  • Katayama, Jun;Sekin, Yoshifumi
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 ITC-CSCC -2
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    • pp.898-901
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    • 2000
  • A new 2-D block Kalman filtering method which uses a nonlinear function is presented to generate a more accurate filtered estimate of a range image that has been corrupted by additive noise. Novel 2-D block Kalman filtering method is constructed of the conventional method and nonlinear function which utilizes to control estimation error. We show that novel 2-D Kalman filtering method using a nonlinear function is effective at reducing the additive noise, not distorting shape edges.

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The fiber element technique for analysis of concrete-filled steel tubes under cyclic loads

  • Golafshani, A.A.;Aval, S.B.B.;Saadeghvaziri, M.A.
    • Structural Engineering and Mechanics
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    • 제14권2호
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    • pp.119-133
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    • 2002
  • A beam-column fiber element for the large displacement, nonlinear inelastic analysis of Concrete-Filled Steel Tubes (CFT) is implemented. The method of description is Total Lagrangian formulation. An 8 degree of freedom (DOF) element with three nodes, which has 3 DOF per end node and 2 DOF on the middle node, has been chosen. The quadratic Lagrangian shape functions for axial deformation and the quartic Hermitian shape function for the transverse deformation are used. It is assumed that the perfect bond is maintained between steel shell and concrete core. The constitutive models employed for concrete and steel are based on the results of a recent study and include the confinement and biaxial effects. The model is implemented to analyze several CFT columns under constant and non-proportional fluctuating concentric axial load and cyclic lateral load. Good agreement has been found between experimental results and theoretical analysis.

가변롤성형 공정을 이용한 단면이 가변하는 프로파일의 형상변수 분석에 관한 연구 (Investigation of Shape Parameters for a Profile with Variable-cross Sections Produced by Flexible Roll Forming)

  • 박종철;차명환;김돈건;남재복;양동열
    • 소성∙가공
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    • 제23권6호
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    • pp.369-375
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    • 2014
  • Flexible roll forming allows profiles to have variable cross-sections. However, the profile may have some shape errors, such as, warping which is a major defect. The shape error is induced by geometrical deviations in both the concave zone and the convex zone. In the current study, flexible roll forming was modeled with FE simulations to analyze the shape error and the longitudinal strain distribution along the flange section over the profile. A distribution of analytically calculated longitudinal strains was used to develop relationships between the shape error and the longitudinal strain distribution as a function of the defined shape parameters for the profile. The FE simulations showed that the shape error is primarily affected by the deviations between the distribution of analytically calculated longitudinal strain and the longitudinal strain distribution of the profile. The results show that the shape error can be controlled by designing the shape parameters to control the geometrical deviations at the flange section in the transition zones.

Multi-Point Aerodynamic Shape Optimization of Rotor Blades Using Unstructured Meshes

  • Lee, Sang-Wook;Kwon, Oh-Joon
    • International Journal of Aeronautical and Space Sciences
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    • 제8권1호
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    • pp.66-78
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    • 2007
  • A multi-point aerodynamic shape optimization technique has been developed for helicopter rotor blades in hover based on a continuous adjoint method on unstructured meshes. The Euler flow solver and the continuous adjoint sensitivity analysis were formulated on the rotating frame of reference. The 'objective function and the sensitivity were obtained as a weighted sum of the values at each design point. The blade section contour was modified by using the Hicks-Henne shape functions. The mesh movement due to the blade geometry change was achieved by using a spring analogy. In order to handle the repeated evaluation of the design cycle efficiently, the flow and adjoint solvers were parallelized based on a domain decomposition strategy. A solution-adaptive mesh refinement technique was adopted for the accurate capturing of the wake. Applications were made to the aerodynamic shape optimization of the Caradonna-Tung rotor blades and the UH-60 rotor blades in hover.

유전자 알고리즘에 의한 평면 및 입체 트러스의 형상 및 위상최적설계 (Shape & Topology Optimum Design of Truss Structures Using Genetic Algorithms)

  • 여백유;박춘욱;강문명
    • 한국공간구조학회논문집
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    • 제2권3호
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    • pp.93-102
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    • 2002
  • The objective of this study is the development of size, shape and topology discrete optimum design algorithm which is based on the genetic algorithms. The algorithm can perform both shape and topology optimum designs of trusses. The developed algorithm was implemented in a computer program. For the optimum design, the objective function is the weight of trusses and the constraints are stress and displacement. The basic search method for the optimum design is the genetic algorithms. The algorithm is known to be very efficient for the discrete optimization. The genetic algorithm consists of genetic process and evolutionary process. The genetic process selects the next design points based on the survivability of the current design points. The evolutionary process evaluates the survivability of the design points selected from the genetic process. The efficiency and validity of the developed size, shape and topology discrete optimum design algorithms were verified by applying the algorithm to optimum design examples

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