• Title/Summary/Keyword: 형상함수

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The Variance of an MLE of the Intensity Function of a Repairable System (수리 가능한 시스템의 강도함수에 대한 최우추정량의 분산)

  • 이현우;강기훈;나명환;김재수
    • The Korean Journal of Applied Statistics
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    • v.12 no.2
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    • pp.563-572
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    • 1999
  • 수리가능한 시스템에 대한 고장시간이 여러 가지 모형에 대한 연구가 최근들어 신뢰성분야의 학자들에 의해 활발히 이루어지고 있다. 본 논문에서는 수리 가능한 시스템의 고장이 와이블과정을 따라 일어날 경우, 고장 시각 $t_n$에서의 강도함수 $\lambda$($t_n$)의 최우추정량의 분사이 형상모수인 $\beta$의 값에 따라 충분히 큰 n에 대하여 수렴 여부를 밝혔다.

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Reliability Based Design Optimization for Section Shape of Simple Structures (빔 단면형상에 대한 구조물 신뢰성 최적설계)

  • 임준수;임홍재;이상범;허승진
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.672-676
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    • 2002
  • In this paper, a reliability-based design optimization method, which enables the determination of optimum design that incorporate confidence range for structures, is studied. Response surface method and Monte Carlo simulation are utilized to determine limit state function. The proposed method is applied to the I-type steel structure for reliability based optimal design.

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Finite Element Analysis of Flow by Adaptive Meshing Technique (적응적 요소망을 이용한 흐름의 유한요소 해석)

  • Jang, Hyung-Sang;Kim, Eu-Gene;Goh, Tae-Jin;Kim, Do-Hun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.1721-1725
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    • 2006
  • 유한요소법으로 공학적 문제를 해결할 때에는 적절한 모델링을 통하여 가장 빠르고 정확한 해를 얻도록 해야 한다. 유체 흐름의 기본 변수인 속도는 그 공간 도함수가 요소간에 불연속을 이루게 된다. 속도의 공간 도함수는 기본적으로 유체에서의 응력, 압력, 및 와도 등과 밀접한 관련이 있다. 또한 이러한 요소간의 속도의 공간 도함수에서 발생하는 불연속의 크기는 요소망이 세분화되어 감에 따라 감소하면서 정확한 해에 수렴하게 된다. 즉 속도의 공간 도함수를 대상으로 오차에 정도를 판단하는 것이 기존의 유한요소 모델의 타당성을 판단하는 기준으로 적합함을 알 수 있다.

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A Surface Displaced From a Manifold (다양체 기반의 변위곡면)

  • Yoon, Seung-Hyun;Kim, Myung-Soo
    • Journal of the Korea Computer Graphics Society
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    • v.12 no.1
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    • pp.1-7
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    • 2006
  • 본 논문에서는 다양체 (manifold) 구조와 스칼라 변위함수 (scalar displacement function)에 기반한 새로운 변위곡면 (displaced surface)의 표현 기법을 제안한다. 변위곡면은 제어메쉬 (control mesh)의 각 정점에서 변위된 국소적 패치들 (displaced local patches)을 블렌딩 (blending)함으로써 생성된다. 제안된 변위곡면은 점 군 (point cloud)의 형태로 주어진 기하학적 모델을 근사하기 위해서 사용된다. 점 군의 데이터로터 제어메쉬가 생성되고, 점 군의 점들이 제어메쉬의 국소적 패치들 (local patches)에 사영 (projection)되어 각 패치들로 부터의 스칼라 변위함수가 구해지고, 이러한 변위함수들을 최적화 하여 높은 정밀도를 갖는 최종적인 곡면을 생성된다. 점 군의 형태로 주어진 다양한 모델에 대한 실험 결과를 통해서 제안된 근사기법의 효율성과 정밀도가 입증된다. 본 논문에서 제안된 표현기법은 다 단계 (multi-level) 변위함수를 통해 다중해상도 표현 (multi-resolution representations)과 골격기반 형상변형 (skeleton-driven deformation)등과 같은 다양한 응용들에 효율적으로 사용된다.

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TOPSIS-Based Multi-Objective Shape Optimization for a CRT Funnel (TOPSIS 를 적용한 CRT 후면유리의 다중목적 형상최적설계)

  • Lee, Kwang-Ki;Han, Jeong-Woo;Han, Seung-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.7
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    • pp.729-736
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    • 2011
  • The technique for order preference by similarity to ideal solution (TOPSIS) is regarded as a classical method of multiple attribute decision making (MADM), often used to solve various decision-making or selection problems. It is based on the concept that the chosen alternative should have the shortest distance from the positive ideal solution and the farthest distance from the negative ideal solution. The TOPSIS can be applied to a design process for carrying out multi-objective shape optimization wherein the best and worst alternatives are to be decided. In this paper, multi-objective shape optimization using the TOPSIS and Rational Bezier curve was applied to the funnel of a cathode-ray tube (CRT). In order to minimize the weight and first principal stress, a new multi-objective shape optimization methodology is proposed, wherein the relative-closeness coefficients of the TOPSIS are defined as the performance indices of a multi-objective function and evaluated by response surface models. This methodology enables the designer to decide on the best solution from a number of design specification groups by examining the various conflicts between the weight and the first principal stress.

p-Version Finite Element Analysis of Composite Laminated Plates with Geometric and Material Nonlinearities (기하 및 재료비선형을 갖는 적층평판의 p-Version 유한요소해석)

  • 홍종현;박진환;우광성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.3
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    • pp.491-499
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    • 2002
  • A p-version finite element model based on degenerate shell element is proposed tot the analysis of orthotropic laminated plates. In the nonlinear formulation of the model, the total Lagrangian formulation is adopted with large deflection and moderate rotation being accounted tot in the sense of yon Karman hypothesis. The material model is based on the Huber-Mises yield criterion and Prandtl-Reuss flow rule in accordance with the theory of strain hardening yield function, which is generalized lot anisotropic materials by introducing the parameters of anisotropy. The model is also based on extension of equivalent-single layer laminate theory(ESL theory) with shear deformation, leading to continuous shear strain at the interface of two layers. The integrals of Legendre polynomials are used for shape functions with p-level varying from 1 to 10. Gauss-Lobatto numerical quadrature is used to calculate the stresses at the nodal points instead of Gauss points. The validity of the proposed P-version finite element model is demonstrated through several comparative points of iew in terms of ultimate load, convergence characteristics, nonlinear effect, and shape of plastic tone.

Form-finding of Tensegrity Systems by using Frequency Constraints (진동수 목적함수를 이용한 텐세그리티 시스템의 형상탐색기법)

  • Lee, Seung Hye;Lee, Jae Hong;Kang, Joo Won
    • Journal of Korean Society of Steel Construction
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    • v.28 no.5
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    • pp.337-344
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    • 2016
  • In this study, a form-finding method of tensegrity systems by using the force density method combined with the stiffness matrix method was presented. Numerous studies have been made on form-finding methods of the tensegrity systems. However, these methods are limited in the tensegrity systems with multiple null space of the equilibrium matrix. The proposed method can uniquely define a single integral feasible set of force densities for the structures. In order to draw maximum natural frequency that can lead a maximum stiffness of the tensegrity systems, a constrained maximization problem is formulated in the genetic algorithm. Several numerical examples are presented to prove dfficiency in searching for self-equilibrium congifurations of tensegrity systems with multiple self-stress states. A good performance of the proposed method has been shown in the results.

Locking-free Straight Beam Element by a Modified Transverse Displacement Field (수정 횡변위장에 의한 강성과잉이 없는 직선 보 요소)

  • 이팔갑;신효철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.12
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    • pp.2287-2297
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    • 1992
  • The Formulation of a new Hermite straight beam element to eliminate the shear locking is presented. All the kinematic variables in Timoshenko beam are reinterpreted by the consideration of equilibrium equations together. It shows that when the modified transverse displacement field is used the Timoshenko beam looks apparently the same as the Euler beam. The element is formulated for the modified transverse displacement field to have the same interpolation scheme as that in the Hermite element. Transformation Matrix which relates a modified nodal vector with nonmodified one is also introduced to deal with general boundary conditions. Several examples are demonstrated and discussed for the purpose of verification of the concepts employed. The solutions obtained reveal that the element describes of the beam quite correctly, showing no locking and that it is also applicable to the analysis of both thin and thick beams.

Static, Buckling and Free Vibration Analyses of Fibrous Composite Plate using Improved 8-Node Strain-Assumed Finite Formulation by Direct Modification (직접수정된 8절점 가정변형률 유한요소를 이용한 복합적층판의 정적, 좌굴 및 자유진동 해석)

  • Park, Won-Tae;Chun, Kyoung-Sik;Yhim, Sung-Soon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.4
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    • pp.107-114
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    • 2004
  • In this paper, a simple improved 8-node finite element for the finite element analysis of fibrous composite plates is presented by using the direct modification. We drive explicit expressions of shape functions for the 8-node element with bilinear element geometry, which is modified so that it can represent any quadratic fields in Cartesian coordinates. The refined first-order shear deformation theory is proposed, which results in parabolic through-thickness distribution of the transverse shear strains and stresses from the formulation based on the third-order shear deformation theory. It eliminates the need for shear correction factors in the first-order theory. This finite element is further improved by combined use of assumed strain, modified shape function, and refined first-order theory. To show the effectiveness of our simple modification on the 8-node finite elements, numerical studies are carried out the static, buckling and free vibration analysis of fibrous composite plates.