• 제목/요약/키워드: layerwise displacement theory

검색결과 22건 처리시간 0.02초

LAYERWISE FORMULATION OF PIEZOELECTRIC LAMINATED COMPOSITES

  • Lee, Jaehong-;Ham, Hee-Jung
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1994년도 가을 학술발표회 논문집
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    • pp.121-128
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    • 1994
  • A layerwise theory for the dynamic response of a laminated composite plate with integrated piezoelectric actuators and sensors subjected to both mechanical and electrical loadings is proposed. The formulation is derived form the variational principle with consideration for both total potential energy of the structures and the electrical potential energy of the piezoceramics. The governing equations of the present theory account for direct and converse effects of piezoelectrics, and layerwise variation of displacement field through the thickness of a laminate.

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완전층별변위이론에 근거한 표면감쇠처리된 원통형 복합적층 패널의 동적특성 (Dynamic Characteristics of Cylindrical Composite Panels With Surface Damping Treatments Using Full Layerwise Theory)

  • 성태홍;이인;오일권
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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    • pp.29-32
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    • 2005
  • Based on the full layerwise displacement shell theory, vibration and damping characteristics of cylindrical sandwich panels are investigated. The transverse shear deformation and the normal strain are fully taken into account for structural damping modelling. Modal damping factors and frequency response functions are analyzed for various structural parameters of cylindrical sandwich beams. Present results shows that full layerwise theory can accurately predict vibration and damping characteristics of cylindrical composite panels with surface damping treatments and constrained layer damping. The viscoelastic materials depending on elevated temperature environment and exciting frequencies can be fully considered.

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층별변위 유한요소법에 기초한 점탄성층을 갖는 원통형 복합적층 패널의 진동해석 (Vibration Analyses of Cylindrical Hybrid Panel with Viscoelastic Layer Based on Layerwise Finite Elements)

  • 오일권;성태홍
    • 한국소음진동공학회논문집
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    • 제15권12호
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    • pp.1361-1369
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    • 2005
  • Based on a full layerwise displacement shell theory, the nitration and damping characteristics of cylindrical sandwiched panels with viscoelastic layers are investigated. The transverse shear deformation and the normal strain of the cylindrical hybrid panels are fully taken into account for the structural damping modelling. The present finite element model Is formulated by using Hamilton's virtual work principle and the cylindrical curvature of hybrid panels is exactly modeled. Modal loss factors and frequency response functions are analyzed for various structural parameters of cylindrical sandwich panels. Present results show that the full layerwise finite element method can accurately predict the vibration and damping characteristics of the cylindrical hybrid panels with surface damping treatments and constrained layer damping.

층별변위 유한요소법에 기초한 점탄성층을 갖는 원통형 복합적층 패널의 진동해석 (Vibration Analyses of Cylindrical Hybrid Panel With Viscoelastic Layer Based On Layerwise Finite Elements)

  • 오일권;성태홍
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.772-778
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    • 2005
  • Based on a full layerwise displacement shell theory, the vibration and damping characteristics of cylindrical sandwiched panels with viscoelastic layers are investigated. The transverse shear deformation and the normal strain of the cylindrical hybrid panels are fully taken into account for the structural damping modelling. The present finite element model is formulated by using Hamilton's virtual work principle and the cylindrical curvature of hybrid panels is exactly modeled. Modal loss factors and frequency response functions are analyzed for various structural parameters of cylindrical sandwich panels. Present results show that the full layerwise finite element method can accurately predict the vibration and damping characteristics of the cylindrical hybrid panels with surface damping treatments and constrained layer damping.

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Thermal Buckling Characteristics of Composite Conical Shell Structures

  • Woo, Ji-Hye;Rho, Jin-Ho;Lee, In
    • International Journal of Aeronautical and Space Sciences
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    • 제8권2호
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    • pp.82-88
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    • 2007
  • Thermal Buckling and free vibration analyses of multi-layered composite conical shells based on a layerwise displacement theory are performed. The Donnell's displacement-strain relationships of conical shell structure are applied. The natural frequencies are compared with the ones existing in the previous literature for laminated conical shells with several cone semi-vertex angles. Moreover, the thermal buckling behaviors of the laminated conical shell are investigated to consider the effect of the semi-vertex angle, subtended angle, and radius to thickness ratio on the structural stability.

직교이방성 적층구조 해석을 위한 부분-선형 층별이론에 기초한 저매개변수요소 (Subparametric Element Based on Partial-linear Layerwise Theory for the Analysis of Orthotropic Laminate Composites)

  • 안재석;우광성
    • 한국전산구조공학회논문집
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    • 제22권2호
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    • pp.189-196
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    • 2009
  • 본 논문에서는 적층구조 해석을 위해 부분 선형 층별이론에 의해 정식화된 저매개변수 유한요소 모델을 제안한다. 얇은 직교이방성 문제뿐만 아니라, 두꺼운 식교이방성 적층판 해석을 위해 제안된 모델은 2차원 세분화 기법에 기초를 두고 있다. 즉, 이 모델은 두께방향으로의 면내거동에 대해서는 선형변화로 가정하는 층별분리 이론이 적용되고, 두께방향으로의 면외거동에 대해서는 상수로 가정하는 등가단층이론이 사용된다. 변위장을 정의하기 위해 적분형 르장드르 다항식이 사용된다. 또한 가우스-로바토 적분법을 사용하여, 적층평판의 종래의 가우스적분점이 아닌 절점의 위치에 발생하는 최대응력값을 별도의 외삽법을 사용하지 않고 바로 산출하였다. 제안된 모델의 정당성과 특성은 직교이방성 다층적층판 문제를 사용하여 검증되었으며, 그 결과는 출판된 참고문헌의 값들과 비교되었다. 이 연구에서는 최적의 유한요소 적층모델을 결정하기 위해 응력과 최대처짐을 사용한 수렴성조사가 수행되었다. 또한, 적층 수의 증가에 따른 두께방향으로의 변위와 응력분포의 변화가 조사되었다.

다중모델 해석을 위한 부분층별-등가단층 결합요소 (Partial Layerwise-to-ESL Coupling Elements for Multiple Model Analysis)

  • 신영식;우광성;안재석
    • 한국전산구조공학회논문집
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    • 제22권3호
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    • pp.267-275
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    • 2009
  • 이 논문에서는 복합재료 적층판 해석을 위해 등가단층요소와 부분-선형 층별 적층요소를 서로 연계시킨 결합요소를 제안하였다. 등가단층요소는 퇴화 쉘요소에 의해 정식화되었으며, 반면에 부분-선형 층별요소의 경우 면내변위는 부분적 선형변화로, 두께방향으로의 면외변위는 일정하다고 가정하였다. 제안된 유한요소모델은 p-수렴방식에 기초를 두고 있다. 변위장 보간을 위해 적분형 르장드르 다항식이, 수치적분을 수행하기 위해서는 가우스-로바토 적분을 각각 채택하였다. 이 연구에서는 주로 p-수렴 결합요소의 검증을 위해 다양한 형태의 유한요소 다중모델에 대해 안정된 수치해석값을 보여주는 지에 초점을 두었다. 채택한 예제는 정해를 쉽게 알고 있는 단순한 문제로 인장력을 받는 평판 또는 연직하중을 받는 캔틸레버보에 적용하여 제안된 요소의 성능을 평가하였다.

논문 : 압전적층판의 비선형 열압전탄성 거동에서의 스냅 - 스루 현상 (Papers : Snap - through Phenomena on Nonlinear Thermopiezoelastic Behavior of Piezolaminated Plates)

  • 오일권;신원호;이인
    • 한국항공우주학회지
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    • 제30권1호
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    • pp.36-43
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    • 2002
  • 압전적층판의 비선형 열압전탄성 거동에서의 스냅-스루 현상을 뉴튼-랩슨기법에 호길이법을 적용하여 수치적으로 규명하였다. 층별변위장이론과 von Karman 변형률-변위 관계식을 적용하여 열압전탄성 복합적층 평판에 대한 비선형 유한요소정식화를 수행하였다. 다양한 압전 작동모드에 따라 대칭 및 편심된 구조모델에 대하여 정적 및 동적 관점에서 비선형 열압전탄성 거동과 진동특성을 연구하였다. 본 연구에서는 압전 작동기를 사용하여 유연한 열적 구조물들의 성능을 향상시킬 수 있는 가능성과 새로운 현상학적인 발견인 열압전탄성 스냅핑 거동이 좌굴된 압전탄성 복합적층 평판에서 과도한 압전작동력이 작용하는 경우에 발생할 수 있음을 제시하였다.

Development of a 2D isoparametric finite element model based on the layerwise approach for the bending analysis of sandwich plates

  • Belarbia, Mohamed-Ouejdi;Tatib, Abdelouahab;Ounisc, Houdayfa;Benchabane, Adel
    • Structural Engineering and Mechanics
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    • 제57권3호
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    • pp.473-506
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    • 2016
  • The aim of this work is the development of a 2D quadrilateral isoparametric finite element model, based on a layerwise approach, for the bending analysis of sandwich plates. The face sheets and the core are modeled individually using, respectively, the first order shear deformation theory and the third-order plate theory. The displacement continuity condition at the interfaces 'face sheets-core' is satisfied. The assumed natural strains method is introduced to avoid an eventual shear locking phenomenon. The developed element is a four-nodded isoparametric element with fifty two degrees-of-freedom (52 DOF). Each face sheet has only two rotational DOF per node and the core has nine DOF per node: six rotational degrees and three translation components which are common for the all sandwich layers. The performance of the proposed element model is assessed by six examples, considering symmetric/unsymmetric composite sandwich plates with different aspect ratios, loadings and boundary conditions. The numerical results obtained are compared with the analytical solutions and the numerical results obtained by other authors. The results indicate that the proposed element model is promising in terms of the accuracy and the convergence speed for both thin and thick plates.

Edge stresses analysis in thick composite panels subjected to axial loading using layerwise formulation

  • Ahmadi, Isa
    • Structural Engineering and Mechanics
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    • 제57권4호
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    • pp.733-762
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    • 2016
  • Based on a reduced displacement field, a layer-wise (LW) formulation is developed for analysis of thick shell panels which is subjected to axial tension. Employing the principle of minimum total potential energy, the local governing equations of thick panel which is subjected to axial extension are obtained. An analytical method is developed for solution of the governing equations for various edge conditions. The governing equations are solved for free and simply supported edge conditions. The interlaminar stresses in the panel are investigated by means of Hooke's law and also by means of integration of the equilibrium equations of elasticity. Dependency of the result upon the number of numerical layers in the layerwise theory (LWT) is studied. The accuracy of the numerical results is validated by comparison with the results of the finite element method and with other available results in the open literature and good agreement is seen between the results. Numerical results are then presented for the distribution of interlaminar normal and shear stresses within the symmetric and un-symmetric cross-ply thick panels with free and simply supported boundaries. The effects of the geometrical parameters such as radius to thickness and width to thickness ratio are investigated on the distribution of the interlaminar stresses in thick panels.