• Title/Summary/Keyword: 고차이론

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Efficient Thermal Stress Analysis of Laminated Composite Plates using Enhanced First-order Shear Deformation Theory (일차전단변형이론을 이용한 복합재료 적층평판의 효율적 열응력 해석)

  • Han, Jang-Woo;Kim, Jun-Sik;Cho, Maenghyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.6
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    • pp.505-512
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    • 2012
  • In this paper, an efficient yet accurate method for the thermal stress analysis using a first order shear deformation theory(FSDT) is presented. The main objective herein is to systematically modify transverse shear strain energy through the mixed variational theorem(MVT). In the mixed formulation, independent transverse shear stresses are taken from the efficient higher-order zigzag plate theory, and the in-plane displacements are assumed to be those of the FSDT. Moreover, a smooth parabolic distribution through the thickness is assumed in the transverse normal displacement field in order to consider a transverse normal deformation. The resulting strain energy expression is referred to as an enhanced first order shear deformation theory, which is obtained via the mixed variational theorem with transverse normal deformation effect(EFSDTM_TN). The EFSDTM_TN has the same computational advantage as the FSDT_TN(FSDT with transverse normal deformation effect) does, which allows us to improve the through-the-thickness distributions of displacements and stresses via the recovery procedure. The thermal stresses obtained by the present theory are compared with those of the FSDT_TN and three-dimensional elasticity.

Impact Response Behaviors of Laminated Composite Plates Subjected to the Transversely Impact of a Steel Ball (강구에 의한 횡방향 충격을 받는 적층복합판의 충격 응답 거동)

  • 김문생;김남식;박승범;백인환
    • Journal of Ocean Engineering and Technology
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    • v.7 no.2
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    • pp.44-56
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    • 1993
  • The purpose of this paper is to analyze the impact response behaviors of glass/epoxy laminated composite plates subjected to the transversely impact of a steel ball. For this purpose, dynamic finite element analysis based on the higher-order shear defomation plate theory is used to compute the contact forces, rebound velocity of a steel ball, and dynamic strain response histories. And low-velocity and high-velocity impact experiments were conducted to compare the results and compute the wave propagation velocities. The results obtained from impact experiments are in good agreement with those of dynamic finite element analysis. Also the wave propagation velocities obtained from high-velocity impact experiments and wave propagation theory agree well, and wave velocities were higher in the smaller radius of steel ball.

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A Novel Methodology of Improving Stress Prediction via Saint-Venant's Principle (생브낭의 원리를 이용한 응력해석 개선)

  • Kim, Jun-Sik;Cho, Maeng-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.2
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    • pp.149-156
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    • 2011
  • In this paper, a methodology is proposed to improve the stress prediction of plates via Saint Venant's principle. According to Saint Venant's principle, the stress resultants can be used to describe linear elastic problems. Many engineering problems have been analyzed by Euler-Bernoulli beam(E-B) and/or Kirchhoff-Love(K-L) plate models. These models are asymptotically correct, and therefore, their accuracy is mathematically guaranteed for thin plates or slender beams. By post-processing their solutions, one can improve the stresses and displacements via Saint Venant's principle. The improved in-plane and out-of-plane displacements are obtained by adding the perturbed deflection and integrating the transverse shear strains. The perturbed deflection is calculated by applying the equivalence of stress resultants before and after post-processing(or Saint Venant's principle). Accuracy and efficiency of the proposed methodology is verified by comparing the solutions obtained with the elasticity solutions for orthotropic beams.

지그재그이론을 이용한 유한요소개발 및 응용

  • Lee, Deog-Gyu
    • Aerospace Engineering and Technology
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    • v.3 no.1
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    • pp.257-266
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    • 2004
  • A three node triangular element with drilling rotations incorporating improved higher-order zig-zag theory(HZZT) is developed to accurately assess the stress distribution through thickness of the laminated plate and analyze the vibration of pretwisted composite plates with embedded damping layer. Shear force matching conditions are enforced along the interfaces between the embedded damping patch and the border patch. The natural frequencies and model loss factors are calculated for cantilevered pretwisted composite blade with damping core with the present triangular element, and compared to experiments and MSC/NASTRAN using a layered combination of plate and solid elements.

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An Accurate and Efficient Analysis of Composite Plates Based on Enhanced First-order Shear Deformation Theory (개선된 일차전단변형이론을 이용한 복합재료 적층평판의 고정밀 해석)

  • Kim, Jun-Sik;Cho, Maeng-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.4 s.74
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    • pp.407-418
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    • 2006
  • In this paper, an efficient yet accurate stress analysis based on the first-order shear deformation theory (FSDT) is presented. The transverse shear strain energy is modified via the mixed variational theorem, so that the shear correction factors are automatically involved in the formulation. In the mixed variational formulation, the transverse stresses are taken to be functions subject to variations. The transverse shear stresses based on an efficient higher order plate theory (EHOPT, Cho and Parmerter, 1993) are utilized and modified, while the transverse normal stress is assumed to be the third-order polynomial of thickness coordinates, which satisfies both zero transverse shear stresses and prescribed surface fractions in top and bottom surfaces. On the other hand, the displacements are assumed to be those of the FSDT Resulting strain energy expressions are referred to as an EFSDTM3D that stands for an enhanced first-order shear deformation theory based on the mixed formulation for three dimensional elasticity, The developed EFSDTM3D preserves the computational advantage of the classical FSDT while allowing for important local through-the-thickness variations of displacements and stresses through the recovery procedure that is based on the least square minimization of in-plane stresses. Comparisons of displacements and stresses of both laminated and sandwich plates using the present theory are made with the classical FSDT, three-dimensional exact solutions, and available data in the literature.

Lagrangian Motion of Water Particles in Stokes Waves (스토우크스파에서의 수입자 운동)

  • Kim, Tae-In;Hwang, Im-Koo
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.4 no.4
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    • pp.187-200
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    • 1992
  • A general scheme is developed to determine the Langrangian motions of water particles by the Eulerian velocity at their mean positions by using Taylor's theorem. Utilizing the Stokes finite-amplitude wave theory, the orbital motions and the mass transport velocity including the effects of higher-order wave components are determined. The fifth-order approximation of orbital motion gives very good predictions of actual water particle motion in Stokes fifth-order wave theory except near the free-surface. The fifth-order theory predicts the mass transport velocity less than that given by the existing second-order theory over the whole water depth.

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mutual Information Flow in Brain by Auditory Stimuli (청각자극을 받은 두뇌에서의 상호정보이동)

  • 조덕연;이유정;김응수
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 1999.03a
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    • pp.285-289
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    • 1999
  • 본 논문에서는 고차 뇌 정보처리연구의 일환으로서, 통신 및 정보이론 분야에서 신호간의 확률적 상관성을 나타내는 지표로 많이 활용되는 상호정보(mutual information)를 이용하여 청각자극을 받은 뇌파의 정보이동(information flow)을 분석하였다. 청각자극에 따른 뇌파의 정보이동을 분석한 결과, 자극에 따른 각 상태에서의 확률적 관계의 흐름에 차이가 있음을 볼 수 있었다.

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(수학교육과) 현대대수학 교재 개발

  • Lee, Gi-Seok
    • Communications of Mathematical Education
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    • v.15
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    • pp.53-58
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    • 2003
  • 본 연구는 교사양성 대학에 적합한 현대대수학 강좌운영의 실례를 소개하고자 한다. 이를 위하여 군, 환, 벡터공간 내용을 적절히 재구성한다. 갈로아 정리는 고차방정식 근의 가해성과 밀접한 관련이 있으므로 중 ${\cdot}$ 고등학교육과정과도 관련지을 수 있다. 그러나 근론과 환룐, 벡터공간의 이론적 배경을 바탕으로 체론의 갈로아 정리로 나아가는 과정에서 많은 학생들이 어려움을 토로하는 것이 현실이다. 이처럼 그 내용의 중요성에 비해 실질적인 접근의 어려움으로 인하여 체론을 아예 배우지 않거나 배우더라도 그 본질을 이해하지 못하는 경우가 많다. 따라서 본 연구에서는, 교사양성 대학의 학생들의 갈로아 정리의 핵심과 본질을 보다 쉽게 이해할 수 있도록 함에 초점을 두고자 한다.

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Higher Order Conditionalization and Undermining (고차 조건화와 믿음 기반 약화)

  • Park, Ilho
    • Korean Journal of Logic
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    • v.18 no.2
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    • pp.167-195
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    • 2015
  • This paper aims to respond to Weisberg's claim that the standard Bayesian epistemology cannot model an agent's belief updating that is triggered by some undermining evidence. Our epistemological intuition seems to require that the undermining evidence decreases some particular relevant credences. According to Weisberg, however, such a belief change cannot result from the standard Bayesian belief updating rules-i.e., (Jeffrey) Conditionalization. This is because probabilistic independence between some propositions is preserved under (Jeffrey) Conditionalization on the relevant evidence. Yet I will show in this paper that this conclusion is somewhat hasty. In particular, I will show that there is another version of Conditionalization and that when one updates her credences by means of such a version, the belief updating originated in undermining evidence can be well modeled in the Bayesian framework. Some authors often call the version Higher Order Conditionalization.

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Analysis of Anisotropic Folded Structures using Triangular and Quadrilateral Elements (3절점 및 4절점 요소를 이용한 비등방성 절판 구조물의 해석)

  • Yoo, Yong-Min;Yhim, Sung-Soon;Chang, Suk-Yoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.1
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    • pp.29-37
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    • 2007
  • This study deals with displacement analysis of anisotropic folded structures with triangular elements and quadrilateral elements. When folded plates are analyzed, triangular elements as well as quadrilateral elements are needed for conveniences of modelling. However, using triangular elements is not a simple problem. A simple formulation is presented which allows a quadrilateral element to degenerate into a triangular element. Therefore it can easily be used for computational simplicity and avoided complexities on mixed use of triangular element and quadrilateral element. In this paper, a high-order shear deformation theory using only Lagrangian interpolation functions and drilling degrees of freedom for folded plates are utilized for more accurate analysis. Especially, various results of anisotropic laminated and folded composite structures with triangular element and quadrilateral element show the structural behavior characteristics of them.