• 제목/요약/키워드: first deformation plate theory

검색결과 239건 처리시간 0.024초

복합소재 적층 구조물에 대한 열-기계적 거동 예측을 위한 개선된 일차전단변형이론의 유한요소 정식화 (Finite Element Formulation Based on Enhanced First-order Shear Deformation Theory for Thermo-mechanical Analysis of Laminated Composite Structures)

  • 김준식;나대현;한장우
    • Composites Research
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    • 제36권2호
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    • pp.117-125
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    • 2023
  • 본 논문에서는 복합소재 적층 구조물의 열-기계적 거동을 효과적으로 예측할 수 있는 8절점 판 요소 기반 전산해석 기법을 제안하고자 한다. 횡방향 수직 변형이 고려된 개선된 일차전단변형이론을 바탕으로 유한요소 정식화를 수행하였으며, 독립적으로 가정되는 변위장 및 응력장 사이의 타당한 수학적 관계식을 도출함으로써 해석 결과의 정확도와 계산 과정의 효율성을 동시에 향상시키고자 하였다. 또한, 횡 방향 변위장의 개선을 통해 횡 방향 수직 변형을 효과적으로 고려함으로써, 복합소재 적층 구조물의 열적 거동 예측 과정에서의 신뢰성을 확보하고자 하였다. 수치 예제로써 열-기계 하중을 받는 2차원 복합소재 적층평판을 고려하였으며, 3차원 탄성해 및 참고문헌에서 활용 가능한 해석 결과와의 비교, 검토를 통해 제안된 유한요소 해석 기법의 성능을 검증하였다.

Progressive failure of symmetric laminates under in-plane shear: Il-Negative shear

  • Singh, S.B.;Kumar, Ashwini;Iyengar, N.G.R.
    • Structural Engineering and Mechanics
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    • 제6권7호
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    • pp.757-772
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    • 1998
  • The objective of the present work is to estimate the strength and failure characteristics of symmetric thin square laminates under negative shear load. Two progressive failure analyses, one using the Hashin criterion and the other using a Tensor polynomial criterion, are used in conjunction with the finite element method. First-order shear-deformation theory along with geometric nonlinearity in the von Karman sense has been incorporated in the finite element modeling. Failure loads, associated maximum transverse displacements, locations and modes of failure including the onset of delamination are discussed in detail; these are found to be quite different from those for the positive sheer load reported in Part I of this study (Singh et al. 1998).

압전섬유작동기를 이용한 형상적응날개 (Morphing wing using Macro Fiber Composite actuator)

  • 나영호;김지환
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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    • pp.9-12
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    • 2005
  • Recently, research on the morphing wing is an interesting issue to develop the capability of the wing such as improving the lift and reduction of drag during the operation of an aircraft by changing the wing shape from one configuration to another. A more efficient weight reduction of the wing using smart or morphing wing concept can be achieved in comparison with the conventional flaps. In this study, it is investigated the behaviors of the morphing wing using Macro Fiber Composite (MFC) actuators. Generally, MFC is the piezocomposite actuator with the rectangular PZT fiber and epoxy matrix, and uses the interdigitated electrode to produce more powerful actuation in the in-plane direction. Furthermore, it can produce the twisting actuation as compared with the traditional PZT actuators. In the formulation, the first-order shear deformation plate theory is used, and finite element method is adopted in the numerical analysis of the model. Results show the characteristics of the static behavior of the morphing wing according to the change of the actuation voltage.

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Application of a new extended layerwise approach to thermal buckling load optimization of laminated composite plates

  • Topal, Umut
    • Steel and Composite Structures
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    • 제14권3호
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    • pp.283-293
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    • 2013
  • This paper deals with the applicability of a new extended layerwise optimization method for thermal buckling load optimization of laminated composite plates. The design objective is the maximization of the critical thermal buckling of the laminated plates. The fibre orientations in the layers are considered as design variables. The first order shear deformation theory (FSDT) is used for the finite element solution of the laminates. Finally, the numerical analysis is carried out to show the applicability of extended layerwise optimization algorithm of laminated plates for different parameters such as plate aspect ratios and boundary conditions.

Dynamic stability analysis of laminated composite plates in thermal environments

  • Chen, Chun-Sheng;Tsai, Ting-Chiang;Chen, Wei-Ren;Wei, Ching-Long
    • Steel and Composite Structures
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    • 제15권1호
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    • pp.57-79
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    • 2013
  • This paper studies the dynamic instability of laminated composite plates under thermal and arbitrary in-plane periodic loads using first-order shear deformation plate theory. The governing partial differential equations of motion are established by a perturbation technique. Then, the Galerkin method is applied to reduce the partial differential equations to ordinary differential equations. Based on Bolotin's method, the system equations of Mathieu-type are formulated and used to determine dynamic instability regions of laminated plates in the thermal environment. The effects of temperature, layer number, modulus ratio and load parameters on the dynamic instability of laminated plates are investigated. The results reveal that static and dynamic load, layer number, modulus ratio and uniform temperature rise have a significant influence on the thermal dynamic behavior of laminated plates.

Dynamic analysis of functionally graded nanocomposite plates reinforced by wavy carbon nanotube

  • Moradi-Dastjerdi, Rasool;Momeni-Khabisi, Hamed
    • Steel and Composite Structures
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    • 제22권2호
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    • pp.277-299
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    • 2016
  • In this paper, free vibration, forced vibration, resonance and stress wave propagation behavior in nanocomposite plates reinforced by wavy carbon nanotube (CNT) are studied by a mesh-free method based on first order shear deformation theory (FSDT). The plates are resting on Winkler-Pasternak elastic foundation and subjected to periodic or impact loading. The distributions of CNTs are considered functionally graded (FG) or uniform along the thickness and their mechanical properties are estimated by an extended rule of mixture. In the mesh-free analysis, moving least squares (MLS) shape functions are used for approximation of displacement field in the weak form of motion equation and the transformation method is used for imposition of essential boundary conditions. Effects of CNT distribution, volume fraction, aspect ratio and waviness, and also effects of elastic foundation coefficients, plate thickness and time depended loading are examined on the vibrational and stresses wave propagation responses of the nanocomposite plates reinforced by wavy CNT.

V노치 또는 예리한 균열을 가지는 Mindlin 직사각형 평판의 휨 진동해석 (Flexural Vibration Analysis of Mindlin Rectangular Plates Having V-notches or Sharp Cracks)

  • Kim, Joo-Woo;Jung, Eui-Young;Kim, Seung-Hyun
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.35-42
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    • 2003
  • This paper provides the first known flexural vibration data for thick (Mindlin) rectangular plates having V-notches. The V-notch has bending moment and shear force singularities at its sharp corner due to the transverse vibratory bending motion. Based upon Mindlin plate theory, in which transverse shear deformation and rotary inertia effects are considered, the Ritz procedure is employed with a hybrid set of admissible functions assumed for the rotational and transverse vibratory displacements. This set includes: (1) a mathematically complete set of admissible algebraic-trigonometric polynomials which guarantee convergence to exact frequencies as sufficient terms are retained; and (2) an admissible set of Mindlin corner functions which account for the bending moment and shear force singularities at the sharp corner of the V-notch. Extensive convergence studies demonstrate the necessity of adding the Mindlin corner functions to achieve accurate frequencies for rectangular plates having sharp V-notches.

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Glass/Epoxy 적층 복합판의 충격 응답 및 충격 응력 (The Impact Response and Impact Stress of Glass/Epoxy Laminated Composite Plates)

  • 김문생;김남식
    • 한국정밀공학회지
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    • 제7권4호
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    • pp.29-39
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    • 1990
  • The purpose of this research is to analyze the impact behaviors of laminated composite plates subjected to the transverse low-velocity impact by the steel ball. A plate finite element model based on Whitney and Pagano's the first-order shear deformation theory (FSDT) in conjunction with experimental static contact laws is formulated and then compared with the results of the impact experiments. Because the input data and the output data printed at every integration time step are lots of amount, these are interactively poecessed by the developed pre-processor(PREPLOT) and postprecessor(POSTPLOT). All results from these procesors are automatically generated by CALCOMP plotter. Test materials are glass/expoxy composite materials. The specimens are composed of [$0^{\circ} /45^{\circ}/0^{\circ}/-45^{\circ}/0^{\circ}/]2s\ and \[90^{\circ}/45^{\circ}/90^{\circ}/-45^{\circ}/90^{\circ}/$]2s stacking sequences and have $4.5^t{\times}200^w{\times}200^l$(mm) and $4.5^t{\times}300^w{\times}300^l$(mm) dimensions.

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적층된 ACM 경사판의 기하학적 비선형 동적 해석 (Geometrical nonlinear dynamic analysis of laminated skew plates made of advanced composite materials)

  • 이상열;장석윤
    • 복합신소재구조학회 논문집
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    • 제1권4호
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    • pp.28-34
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    • 2010
  • W e performed a geometrical nonlinear dynamic analysis of laminated skew plates made of advanced composite materials (ACM ) based on the first-order shear deformation plate theory (FSDT). The Newmark method and Newton-Raphson iteration are used for the nonlinear dynamic solution. The effects of skew angles and layup sequences on the nonlinear dynamic response for various parameters are studied using a nonlinear dynamic finite element program developed for this study. The several numerical results were in good agreement with those reported by other investigators for square composite and skew plates, and the new results reported in this paper show the significant interactions between the skew angle and layup sequence in the skew laminate. Key observation points are discussed and a brief design guideline is given.

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Stochastic free vibration analysis of smart random composite plates

  • Singh, B.N.;Vyas, N.;Dash, P.
    • Structural Engineering and Mechanics
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    • 제31권5호
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    • pp.481-506
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    • 2009
  • The present study is concerned with the stochastic linear free vibration study of laminated composite plate embedded with piezoelectric layers with random material properties. The system equations are derived using higher order shear deformation theory. The lamina material properties of the laminate are modeled as basic random variables for accurate prediction of the system behavior. A $C^0$ finite element is used for spatial descretization of the laminate. First order Taylor series based mean centered perturbation technique in conjunction with finite element method is outlined for the problem. The outlined probabilistic approach is used to obtain typical numerical results, i.e., the mean and standard deviation of natural frequency. Different combinations of simply supported, clamped and free boundary conditions are considered. The effect of side to thickness ratio, aspect ratio, lamination scheme on scattering of natural frequency is studied. The results are compared with those available in literature and an independent Monte Carlo simulation.