• Title/Summary/Keyword: 고차이론

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유공판의 응력집중계수를 최소로하는 Hole형상의 최적화

  • 임장근;김태완
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.3
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    • pp.295-300
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    • 1985
  • 본 논문에서는 Dhir의 이론에 따라서 Mapping함수로 고차다항식을 사용하여 여러가지 하중상태에 따른 최적형상을 연구하고 Mapping함수에 포함되어 있는 계수가 응력집중 및 형상변화에 미치는 영향을 검토하며 광탄성 실험을 통하여 이론의 타당성 을 입증하고자 하였다.

Higher Order Zig-zag Piezoelectric Plate Theory Under Thermo-electric-mechanical Loads (열-전기-기계 하중 하에서의 고차 지그재그 판이론)

  • Cho, Maeng-Hyo;Oh, Jin-Ho
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.426-431
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    • 2000
  • A decoupled thermo-piezoelectric-mechanical model of composite laminates with surface bonded piezoelectric actuators, subjected to externally applied load, temperature change load, electric field load is developed. The governing differential equations are obtained by applying the principle of free energy and variational techniques. A higher order zigzag theory displacement field is employed to accurately capture the transverse shear and normal effects in laminated composite plates of arbitrary thickness.

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Finite Element Analysis of Beam-and Arch-Like Structures using Higher-Order Theory (고차이론을 이용한 보 및 아치형 구조물의 유한요소 해석)

  • 조진래
    • Computational Structural Engineering
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    • v.10 no.1
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    • pp.185-191
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    • 1997
  • Beam - and arch-like structures are two-dimensional bodies characterized by the fact of small thickness compared to the length of structures. Owing to this geometric feature, linear displacement approximations through the thickness such as Kirchhoff and Reissner-Mindlin theories which are more accessible one dimensional problems have been used. However, for accurate analysis of the behavior in the regions where the state of stresses is complex, two-dimensional linear elasicity or relatively high order of thickness polynomials is required. This paper analyses accuracy according to the order of thickness polynomials and introduces a technique for model combination for which several different polynomial orders are mixed in a single structure.

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카타스트로피 이론과 구조 불안정 해석

  • 김두기;양영순
    • Computational Structural Engineering
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    • v.3 no.4
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    • pp.14-23
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    • 1990
  • 구조물의 초기결함 민감도해석과 관련하여 카타스트로피 이론을 적용할 수 있는 가능성을 다음과 같이 요약할 수 있다. 첫째, 카타스트로피 이론은 현재까지 수행된 구조불안정현상의 분류에 대한 일반화된 수학적 근거를 제공해 준다. 둘째, 카타스트로피 이론에 의하면 구조물에서의 초기결함 민감도 특성을 위상수학적인 방법론에 의해 적은 계산량으로 구할 수 있다. 셋째, 복잡한 좌굴현상 예를 들면 Modal Interaction, Compound Buckling의 현상이 발생하는 경우 좌굴점근처에서의 분기특성, 초기결함 민감도 특성을 효과적으로 규명하는 모델로서 고차카타스트로피를 이용할 수 있다.

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Dynamic response of nano-scale plates based on nonlocal elasticity theory (비국소 탄성 이론을 이용한 나노-스케일 판의 강제진동응답)

  • Kim, Jin-Kyu;Han, Sung-Cheon;Park, Weon-Tae
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.1
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    • pp.436-444
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    • 2013
  • This article presents the dynamic response of nano-scale plates using the nonlocal continuum theory and higher-order shear deformation theory. The nonlocal elasticity of Eringen has ability to capture the small scale effects and the higher-order shear deformation theory has ability to capture the quadratic variation of shear strain and consequently shear stress through the plate thickness. The solutions of transient dynamic analysis of nano-scale plate are presented using these theories to illustrate the effect of nonlocal theory on dynamic response of the nano-scale plates. The relations between nonlocal and local theories are discussed by numerical results. Also, the effects of nonlocal parameters, aspect ratio, side-to-thickness ratio, size of nano-scale plate and time step on dynamic response are investigated and discussed. The amplitude and cycle increase when nonlocal parameter increase. In order to validate the present solutions, the reference solutions are used and discussed. The theoretical development as well as numerical solutions presented herein should serve as reference for nonlocal theories as applied to the transient dynamic analysis of nano-scale structures.

Review on Higher order Laminated Composite Plate Modelings (복합재료 적층판의 고차이론의 검토)

  • 조맹효
    • Journal of the KSME
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    • v.34 no.7
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    • pp.517-526
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    • 1994
  • 복합재료가 점차 최근에 항공기에서 이차적인 구조요소에서 일차적으로 힘을 받는 구조물에 사 용됨으로써 두꺼운 복합재료 구조판과 셸의 정확한 동적, 정적거동을 예측하는 것이 중요한 문 제가 되었다. 특히 전산구조역학의 한 분야로서 복합재료 적층판의 문제는 inhomogeneity와 anisotropy 문제를 가지고 있어서 복잡하며 일차구조 (primary structrue)에서는 100장-200장의 적층도 드물지 않게 볼 수 있어서 정확한 계산을 위해서는 방대한 기억용량과 빠른 계산속도를 요구한다. 그러므로 복합재료 적층판의 거동을 정확하고 값싸고 빠르게 계산할 수 있는 이론과 수치방법의 개발이 중요한 문제이다. 이 문제는 E. Reissner, R. K. Kapania & S. Raciti, A. K. Noor & W. S., Burton, L. Librescu & J. N. Reddy, J. N. Reddy 등에 의해서 review가 행하 여졌고 이 분야의 모든 paper들의 비교적 현재까지 연구동향을 잘 묘사하고 있다. 여러 review paper들이 시간흐름상으로 여러 연구들을 잘 정리하고 있으므로 이 글에서는 논문들을 다시 review하는 것이 아니라 지난 20여 년간 이 분야에서 계속되어 온 연구중 주요한 것을 고찰하고 소개하는 것을 그 목적으로 한다.

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A Higher-Order Theory for Laminated Composite Plates (적층복합평판을 위한 고차해석이론)

  • 신용석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.1
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    • pp.65-76
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    • 1994
  • A higher-oder laminated plate theory including the effect of transverse shear deformation is developed to calculate the gross response and the detailed stress distribution. The theory satisfies the continuity condition of transverse shear stress, and accounts for parabolic variation of the transverse shear stresses through the thickness of each layer. Exact closed-ply laminates are obtained and the results are compared with three-dimensional elasticity solutions and a simple higher-order theory solutions. The results of the present work exhibit acceptable accuracy when compared to the three-dimensional elasticity solutions.

Critical Buckling Temperatures of Anisotropic Laminated Composite Plates considering a Higher-order Shear Deformation (고차전단변형을 고려한 비등방성 적층복합판의 임계좌굴온도)

  • Han, Seong Cheon;Yoon, Seok Ho;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.10 no.2 s.35
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    • pp.201-209
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    • 1998
  • The presence of elevated temperature can alter significantly the structural response of fibre-reinforced laminated composites. A thermal environment causes degradation in both strength and constitutive properties, particularly in the case of fibre-reinforced polymeric composites. Furthermore, associated thermal expansion, either alone or in combination with mechanically induced deformation, can result in buckling, large deflections, and excessively high stress levels. Consequently, it is often imperative to consider environmental effects in the analysis and design of laminated systems. Exact analytical solutions of higher-order shear deformation theory is developed to study the thermal buckling of cross-ply and antisymmetric angle-ply rectangular plates. The buckling behavior of moderately thick cross-ply and antisymmetric angle-ply laminates that are simply supported and subject to a uniform temperature rise is analyzed. Numerical results are presented for fiber-reinforced laminates and show the effects of ply orientation, number of layers, plate thickness, and aspects ratio on the critical buckling temperature and compared with those obtained using the classical and first-order shear deformation theory.

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