• Steel and Composite Structures
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• 제24권5호
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• pp.603-613
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• 2017

In this research, the free vibration response of laminated composite plates is investigated using a novel and simple higher order shear deformation plate theory. The model considers a non-linear distribution of the transverse shear strains, and verifies the zero traction boundary conditions on the surfaces of the plate without introducing shear correction coefficient. The developed kinematic uses undetermined integral terms with only four unknowns. Equations of motion are obtained from the Hamilton's principle and the Navier method is used to determine the closed-form solutions of antisymmetric cross-ply and angle-ply laminates. Numerical examples studied using the present formulation is compared with three-dimensional elasticity solutions and those calculated using the first-order and the other higher-order theories. It can be concluded that the present model is not only accurate but also efficient and simple in studying the free vibration response of laminated composite plates.

• 한국강구조학회 논문집
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• 제11권1호통권38호
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• pp.55-67
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• 1999

복합재료로 구성된 복합적층판 및 쉘과 같은 구조물은 탄성계수와 전단탄성 계수의 비가 매우 커서 전단변형의 영향이 크므로 정확한 해를 얻기 위하여 해석 및 설계에서 필수적으로 전단변형을 고려해야 하며, 고차의 전단변형이론에 의한 해석은 더욱 정확한 해를 얻을 수 있다. 본 연구는 단순지지 경계조건을 갖는 복합적층판 및 쉘에 대하여 3차 전단변형 이론을 적용하여 플라이 각도, 층의 수에 따른 복합적층판 및 쉘의 휨, 진동, 좌굴 특성을 연구한다.

• 한국강구조학회 논문집
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• 제10권1호통권34호
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• pp.11-24
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• 1998

복합샌드위치평판은 복합재료를 갖으면서 강성이 있는 얇은 면재와 저밀도인 두꺼운 심재로 구성되어 있다. 본 연구에서는 국부전단변형을 고려한 복합면재를 갖는 샌드위치평판을 해석을 위한 지배방정식을 유도하였고, 해석적인 방법으로 해석을 하였다. 해석방법의 타당성을 확인하기 위하여 전체 전단변형을 고려한 일반 적층판 이론의 값과 비교하였다. 그리고 복합면재와 심재의 국부전단변형을 고려하였으므로 일반 적층판 해석에도 적용시킬 수 있음을 보였다.

• Steel and Composite Structures
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• 제17권6호
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• pp.867-890
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• 2014

This paper deals with the geometric nonlinear bending analysis of laminated composite stiffened plates subjected to uniform transverse loading. The eight-noded degenerated shell element and three-noded degenerated curved beam element with five degrees of freedom per node are adopted in the present analysis to model the plate and stiffeners respectively. The Green-Lagrange strain displacement relationship is adopted and the total Lagrangian approach is taken in the formulation. The convergence study of the present formulation is carried out first and the results are compared with the results published in the literature. The stiffener element is reformulated taking the torsional rigidity in an efficient manner. The effects of lamination angle, depth of stiffener and number of layers, on the bending response of the composite stiffened plates are considered and the results are discussed.

• 한국강구조학회 논문집
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• 제12권6호
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• pp.749-758
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• 2000

본 연구는 지그재그모델에 근거하여 두꺼운 금속, 폴리머 복합재료 면재의 전단변형 효과를 고려해서 샌드위치평판의 휨해석 지배방정식을 유도하였으며, 판의 네 변은 단순지지 되어 있다고 가정하였다. 역대칭 적층면재의 화이버 각도와 면재의 적층수를 변화시켜가며 휨해석의 결과를 나타내었다. 해석방법의 정확성을 위해 일반 적층판이론의 값과 비교를 하여 검증을 하였다. 그 결과 적층판이론으로 구한 값보다 처짐에 있어서 더 큰 값을 나타냄을 알 수 있었는데, 그 이유로는 본 해석방법이 면재, 심재 모두 휨강성과 전단변형을 고려하였기 때문이라 사료된다. 강재, 폴리머 복합면재를 갖는 샌드위치평판을 설계할 때 제시된 정보를 유용하게 이용될 수 있을 것이다.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2008년도 정기 학술대회
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• pp.27-32
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• 2008

The laminated composite materials have been applied to various mechanical structures due to their high performance to weight ratios. In this study, we suggest a stochastic finite element scheme for the probabilistic analysis of the composite laminated plates. The composite materials consist of two different materials which constitute the matrix and fiber. The material properties in the major and minor directions are determined depending on the volume fraction of these two materials. In this study, the elastic modulus and shear modulus are considered as random and the effect of these random properties on the behavior of the composite plate is investigated. We adopt the weighted integral scheme in the formulation, which has been recognized as the most accurate method in the statistical methodologies. For verification of the proposed scheme, Monte Carlo analysis is also performed for the comparison with the proposed scheme.

• Geomechanics and Engineering
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• 제34권3호
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• pp.233-250
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• 2023

This paper investigates the flexural analysis of isotropic, transversely isotropic, and laminated composite plates using a new higher-order normal and shear deformation theory. In the present theory, only five unknown functions are involved compared to six or more unknowns used in the other similar theories. The developed theory does not need a shear correction factor. It can satisfy the zero traction boundary conditions on the top and the bottom surfaces of the plate as well as account for sufficient distribution of the transverse shear strains. The thickness stretching effect is considered in the computation. A simply supported was considered on all edges of the plate. The plate is subjected to uniform and sinusoidal distributed load in the static analysis. Laminated composite, isotropic, and transversely isotropic plates are considered. The governing equations are obtained utilizing the virtual work principle. The differential equations are solved via Navier's procedure. The results obtained from the developed theory are compared with other higher-order theories considered in the previous studies and 3D elasticity solutions. The results showed that the proposed theory accurately and effectively predicts the bidirectional bending responses of laminated composite plates. Several parametric studies are presented to illustrate the various parameters influencing the static response of the laminated composite plates.

• 한국소음진동공학회논문집
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• 제11권6호
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• pp.193-199
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• 2001

Active control of forced vibration of the cantilevered laminated composite plates using collocated piezoceramic sensor/actuator is analyzed numerically and verified experimentally for various fiber orientations. Impact on the stiffness and the damping properties is studied by varying stacking sequence of [$\theta$$_{4}$O$_{2}$90$_{2}$]s for the laminated composite plate. For the forced vibration control, the plate is excited by one pair of collocated PZT exciters in resonance and its vibrational response is suppressed by the other collocated PZT sensor/actuator using direct negative velocity feedback. It is shown that the active control of forced vibration is more effective for the smart laminated plate with higher modal damped stiffness(2ζ$\omega$/aup 2/) .

• 복합신소재구조학회 논문집
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• 제3권1호
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• pp.29-34
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• 2012

압축을 받는 복합적층판의 보강을 위해 폐단면리브를 적용하는 것이 효과적이나, 적정 크기나 최적 두께에 대한 충분한 연구자료가 제시되지 못하고 있다. 이에 따라 폐단면리브 단면 제원에 따른 복합적층판의 압축좌굴 거동에 대한 영향이 우선 검토되어야 할 필요성이 있다. 본 논문에서는 직교이방성 $[(0^{\circ})_4]_s$와 Cross-ply $[(0^{\circ}/90^{\circ})_2]_s$ 적층단면을 각각 고려하여 U리브 단면강성에 따른 복합적층 보강판의 탄성좌굴강도 및 좌굴모드의 변화를 수치해석적으로 검토하였다. 구조부재로써 적용성을 고려하여 U리브 단면 모델을 선정하였고 유한요소해석 프로그램인 ABAQUS를 이용하여 U리브 적층두께에 따른 고유치 해석을 실시하였다. U리브와 같은 폐단면 보강재를 적용한 복합적층판에서는 단순지지 조건의 판좌굴 강도에 비해 상승효과가 있음이 본 연구의 수치해석 결과로부터 입증되었으며 본 해석연구 대상 모델에 대해 U리브 최적 적층두께를 분석하였다. 본 논문의 연구 결과는 향후 U리브의 최적 단면 선정방안을 제시하는데 기여할 수 있을 것으로 기대된다.

• Steel and Composite Structures
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• 제11권5호
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• pp.403-421
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• 2011

In the present manuscript, geometrically nonlinear free vibration analysis of thin laminated plates resting on non-linear elastic foundations is investigated. Winkler-Pasternak type foundation model is used. Governing equations of motions are obtained using the von Karman type nonlinear theory. The method of discrete singular convolution is used to obtain the discretised equations of motion of plates. The effects of plate geometry, boundary conditions, material properties and foundation parameters on nonlinear vibration behavior of plates are presented.