• Title/Summary/Keyword: 판 이론

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Nonlinear Random Vibration of Laminated Composite Plates by Comparison of Classical Theory, 1st and 3rd Order Shear Theories (복합적층판의 비선형 불규칙 진동 해석에 관한 고전 이론, 1차 및 3차 전단 이론의 비교 연구)

  • Kang, Joowon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.1
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    • pp.129-138
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    • 2000
  • Composites are finding increasing use in a wide variety of engineering applications due to their outstanding mechanical properties. A number of studies have focused on the development of new materials as well as the response of composite structures to static and dynamic loads by assuming the external driving forces to be deterministic. However, there ate many situations in practice where the exciting forces vary randomly. In this work, the nonlinear response of laminated composite plates excited by stochastic loading is studied by the finite element method. Classical, first-order and third-order shear theories for plates are used in the finite element formulation. Since most composites exhibit significant nonlinearity in the shear stress-strain law, this is included in the present analysis.

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A Study on the Failure Characteristics of Equivalent Anisotropic Composite Plates (등가 이방성 복합재 평판에 대한 파손 특성에 관한 연구)

  • Yun, Jaeho;Kim, Hanjun;Kim, Yongha
    • Journal of Aerospace System Engineering
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    • v.16 no.5
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    • pp.35-42
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    • 2022
  • This paper deals with predicting comparable mechanical properties of laminated composite plates. The stiffness of an equivalent anisotropic composite plate is derived based on classical lamination theory. A novel failure criterion is defined to describe the failure behaviour of laminated composite plates based on micro-mechanics failure criteria. Finally, the theory's validation of finite element analysis results was verified. We concluded that this theory is very suitable for failure analysis of laminated composite plates for aerospace applications due to their relative simplicity and computational efficiency.

Vibration Analysis of Stiffened Corrugated Composite Plates (보강된 적층 복합재료 주름판의 진동해석)

  • Park, Kyung-Jo;Kim, Young-Wann
    • Composites Research
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    • v.33 no.6
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    • pp.377-382
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    • 2020
  • The free vibration characteristics of corrugated laminated composite plates with axial stiffeners is investigated using the Rayleigh-Ritz method. The plate is stiffened by beams with open cross-section area. The equivalent homogenization model is used for the corrugated laminated composite plates. This homogenization model is treated a corrugated plate as an orthotropic plate that has different material properties in two perpendicular directions. The motion of equivalent plate is represented on the basis of the first order shear deformation theory (FSDT) to account for the effect of rotary inertia and transverse shear deformation. Stiffeners are considered as discrete elements to predict the local vibration mode to be generated by the presence of stiffeners. To validate the proposed analytical approach, natural frequencies and vibration mode shapes from the analytical method are compared with those from the FEA by ANSYS.

Isogeometric Analysis of FG-CNTRC Plate in Bending based on Higher-order Shear Deformation Theory (탄소 나노튜브 보강 기능경사복합재 판의 등기하 거동 해석)

  • Jeon, Juntai
    • Journal of the Society of Disaster Information
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    • v.17 no.4
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    • pp.839-847
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    • 2021
  • Purpose: This study investigates mechanical behavior of functionally graded (FG) carbon nanotube-reinforced composite (CNTRC) plate in flexure. Isogeometric analysis (IGA) method coupled with shear deformable theory of higher-order (HSDT) to analyze the nonlinear bending response is presented. Method: Shear deformable plate theory into which a polynomial shear shape function and the von Karman type geometric nonlinearity are incorporated is used to derive the nonlinear equations of equilibrium for FG-CNTRC plate in bending. The modified Newton-Raphson iteration is adopted to solve the system equations. Result: The dispersion pattern of carbon nanotubes, plate geometric parameter and boundary condition have significant effects on the nonlinear flexural behavior of FG-CNTRC plate. Conclusion: The proposed IGA method coupled with the HSDT can successfully predict the flexural behavior of FG-CNTRC plate.

Papers : Panel Flutter Analysis of Isotropic and Composite Plates Including Structural Damping (논문 : 구조감쇠를 고려한 등방성 평판 및 복합적층판의 패널 플러터 해석)

  • Gu, Gyo-Nam
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.3
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    • pp.115-122
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    • 2002
  • 구조감쇠가 복합적층판의 초음속 패널 플러터에 미치는 영향을 연구하기 위해 에너지법을 활용하여 지배방정식을 유도하였다. 구조 모델링은 일반적인 고전 적층판 이론을 적용하고 이의 해석은 진동 모우드를 가정하는 Rayleigh-Ritz법을 이용하였다. 비정상 공기력은 피스톤 이론(piston theory)을 적용하였다. 구조감쇠가 패널의 플러터에 미치는 일반적인 영향을 고찰하기 위해 등방성 평판의 구조감쇠의 크기에 따른 임계동압을 계산하였으며 이로부터 구조감쇠가 플러터 안정성을 감소시킬 수 있음을 확인하였다. 또한 복합적층판의 적층각에 따른 임계동압을 계산하여 패널 플러터와 구조감쇠와의 관계를 파악하였다. 구조감쇠는 낮은 공력감쇠에서는 플러터 안정성에 중요한 역할을 하지만 높은 공력감쇠에서는 거의 영향을 미치지 않았다.

A Study on the Transmission Path and Vibrosolating Character of Shipboard Structure-borne noise (SEA법에 의한 선박고체소음의 전파경로와 방진특성에 관한 연구)

  • 김사수;현명환;이도경;권종현;안시영
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.04a
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    • pp.223-230
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    • 1995
  • 본 연구에서는 선박소음해석을 수행하기 위한 기초작업으로서 실선 선박모델을 크게 3가지 경우로 구분하여 모델링 하였으며, SEA법을 적용하여 고체소음의 전달손실을 이론적으로 예측할 수 있는 방법을 제시하였으며, 또한 STL을 도입하여 각 요소간의 에너지 흐름 및 구성판요소의 재료별 방진효과를 알아보았다. 이 방법의 결과 다음과 같은 결론을 얻을 수 있었다. 1) 내장판의 종류에 따른 전달특성은 고주파 대역에서는 plywood, 저주파 대 역에서는 rockwool이 높은 손실값을 보였으며, glasswool은 전 주파수 대역에서 고른 손실값을 가짐을 확인하였다. 2) 기진원으로부터의 거리가 멀어짐에 따라 내장판의 효과가 크게 나타나며, 기진원의 근방 요소에서는 내장판의 효과보다는 강판의 두께의 영향이 두드 러짐을 알 수 있었다. 3) 내장판 요소중 plywood의 방진효과가 가장 크게 나타남을 알 수 있었다. 4) 본 SEA법에 의한 연구에서는 구성 판요소의 재질과 두께에 따른 고쳇음 의 전달특성을 이론적으로 해석하였으며, 차후 실험을 통한 검증이 요구되어 진다.

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Study on the Theoretical Background of the Rules for the Bulkhead Plates (선체격벽판 규정식의 이론적 배경에 관한 연구)

  • J.S. Mah
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.3
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    • pp.157-165
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    • 1992
  • Three dimensional structural analysis is carried out to evaluate the global behavior of the platings for the watertight bulkhead and deep tank bulkhead of the selected model ship and to analyze the theoretical background of their formulations for the bulkhead platings in the Rules of each classification societies. In this study, coarse and fine mesh analysis for transverse bulkhead is carried out to know the stress distribution in way of the concerned areas and that result is presented to show the back data for the new formulations of such transverse bulkhead platings.

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Isogeometric Analysis of FGM Plates in Combination with Higher-order Shear Deformation Theory (등기하해석에 의한 기능경사복합재 판의 역학적 거동 예측)

  • Jeon, Juntai
    • Journal of the Society of Disaster Information
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    • v.16 no.4
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    • pp.832-841
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    • 2020
  • Purpose: This study attempts at analyzing mechanical response of functionally graded material (FGM) plates in bending. An accurate and effective numerical approach based on isogeometric analysis (IGA) combined with higher-order shear deformation plate theory to predict the nonlinear flexural behavior is developed. Method: A higher-order shear deformation theory(HSDT) which accounts for the geometric nonlinearity in the von Karman sense is presented and used to derive the equilibrium and governing equations for FGM plate in bending. The nonlinear equations are solved by the modified Newton-Raphson iterative technique. Result: The volume fraction, plate length-to-thickness ratio and boundary condition have signifiant effects on the nonlinear flexural behavior of FGM plates. Conclusion: The proposed IGA method can be used as an accurate and effective numerical tool for analyzing the mechanical responses of FGM plates in flexure.

Bending and Dynamic Characteristics of Antisymmetric Laminated Composite Plates considering a Simplified Higher-Order Shear Deformation (역대칭 복합적층판의 단순화된 고차전단변형을 고려한 휨과 동적 특성)

  • Han, Seong Cheon;Yoon, Seok Ho;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.9 no.4 s.33
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    • pp.601-609
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    • 1997
  • Bending and vibration results for a laminated plate base on a simplified higher-order plate theory with four variables are presented. Assuming a constant in-plane rotation tensor through the thickness in Reddy's higher-order shear deformation theory it is shown that a simpler higher-order theory can be obtained with the reduction of one variable without significant loss in the accuracy. This simple higher-order shear deformation theory is then used for predicting the natural frequencies and deflection of simply-supported laminated composite plates. The results obtained for antisymmetrical laminated composite plates compare favorably with third-order and first-order shear deformation theory. The information presented should be useful to composite-structure designers, to researchers seeking to obtain better correlation between theory and experiment and to numerical analysts in checking out their programs.

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Comparative Study on the Performance of Quadrilateral Plate Elements for the static Analysis of Limear Elastic structures( I );Displacements (사각형 판 유한 요소들의 정적 성능 비교 분석 I)

  • 이병채;이용주
    • Computational Structural Engineering
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    • v.3 no.4
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    • pp.91-104
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    • 1990
  • Static performance of quadrilateral plate elements was compared through numerical experiments. Sixteen plate elements were selected for comparison from the literature, which were displacement elements, equilibrium elements, mixed elements or hybrid elements based on the Kirchhoff theory or the Mindlin theory. Thin plate bending problems, such as square plate problems, rhombic plate problems, circular plate problems and cantilevered plate problems, were modeled by various meshes and solved under various kinds of boundary conditions. Kirchhoff elements were not so good as Mindlin elements in view of efficiency and convergence. Hinton's elements resulted in the best results for the problems considered with respect to efficiency, convergence and reliability but in some problems they also resulted in more or less inaccurate solutions.

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