• Advances in materials Research
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• 제12권2호
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• pp.161-177
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• 2023

This paper proposes an analytical method to investigate the free vibration behaviour of new functionally graded (FG) carbon nanotubes reinforced composite beams based on a higher-order shear deformation theory. Cosine functions represent the material gradation and material properties via the thickness. The kinematic relations of the beam are proposed according to trigonometric functions. The equilibrium equations are obtained using the virtual work principle and solved using Navier's method. A comparative evaluation of results against predictions from literature demonstrates the accuracy of the proposed analytical model. Moreover, a detailed parametric analysis checks for the sensitivity of the vibration response of FG nanobeams to nonlocal length scale, strain gradient microstructure-scale, material distribution and geometry.

• Geomechanics and Engineering
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• 제33권4호
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• pp.369-380
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• 2023

The aim of this paper is to investigate stress analysis of semi-infinite soils consisting of two layers with twin rectangular tunnels under static loads. The region close to the ground surface and tunnel modelled within finite elements. In order to use a more realistic model, the far region is modelled within infinite elements. The material model of the layered soil is considered as elastic and isotropic. In the finite element solution of the problem, two dimensional (2D) plane solid elements are used with sixteen-nodes rectangular finite and eight-nodes infinite shapes. Finite and infinite elements are ordered to be suitable for the tunnel and the soils. The governing equations of the problem are obtained by using the virtual work principle. In the numerical process, the five-point Gauss rule is used for the calculation of the integrations. In order to validate using methods, comparison studies are performed. In the numerical results, the stress distributions of the two layered soils containing twin rectangular tunnels presented. In the presented results, effects of the location of the tunnels on the stress distributions along soil depth are obtained and discussed in detail. The obtained results show that the locations of the tunnels are very effective on the stress distribution on the soils.

• Structural Engineering and Mechanics
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• 제86권6호
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• pp.731-738
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• 2023

This article presents an analytical approach to explore the bending behaviour of of two-dimensional (2D) functionally graded (FG) nanobeams based on a two-variable higher-order shear deformation theory and nonlocal strain gradient theory. The kinematic relations are proposed according to novel trigonometric functions. The material gradation and material properties are varied along the longitudinal and the transversal directions. The equilibrium equations are obtained by using the virtual work principle and solved by applying Navier's technique. A comparative evaluation of results against predictions from literature demonstrates the accuracy of the proposed analytical model. Moreover, a detailed parametric analysis checks for the sensitivity of the bending and stresses response of (2D) FG nanobeams to nonlocal length scale, strain gradient microstructure scale, material distribution and geometry.

• Computers and Concrete
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• 제32권1호
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• pp.87-97
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• 2023

The bending of a porous FG plate is discussed in this study using a novel higher quasi-3D hyperbolic shear deformation theory with four unknowns. The proposed theory takes into consideration the normal and transverse shear deformation effect and ensures the parabolic distribution of the transverse stresses through the thickness direction with zero-traction at the top and the bottom surfaces of the structure. Innovative porous functionally graded materials (FGM) have through-thickness porosity as a unique attribute that gradually varies with their qualities. An analytical solution of the static response of the perfect and imperfect FG plate was derived based on the virtual work principle and solved using Navier's procedure. The validity and the efficiency of the current model is confirmed by comparing the results with those obtained by others solutions. The comparisons showed that the present model is very efficient and simple in terms of computation time and exactness. The impact of the porosity parameter, aspect ratio, and thickness ratio on the bending of porous FG plate is shown through a discussion of several numerical results.

• Advances in aircraft and spacecraft science
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• 제10권3호
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• pp.281-302
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• 2023

In this paper, bending analysis of exponentially varying functionally graded (FG) plate is presented using trigonometric shear deformation theory (TSDT) considering both transverse shear and normal deformation effects. The in-plane displacement field consists of sinusoidal functions in thickness direction to include transverse shear strains and transverse displacement include the effect of transverse normal strain using the cosine function in thickness coordinate. The governing equations and boundary conditions of the theory are derived using the virtual work principle. System of governing equations, for simply supported conditions, Navier's solution technique is used to obtain results. Plate material properties vary across thickness direction according to exponential distribution law. In the current theory, transverse shear stresses are distributed accurately through the plate thickness, hence obviates the need for a shear correction factor. TSDT results are compared with those from other theories to ensure the accuracy and effectiveness of the present theory. The current theory is in excellent agreement with the semi-analytical theory.

• Steel and Composite Structures
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• 제41권5호
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• pp.697-711
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• 2021

In this work, a simple quasi 3-D parabolic shear deformation theory is developed to examine the bending response of antisymmetric cross-ply laminated composite plates under different types of mechanical loading. The main feature of this theory is that, in addition to including the transverse shear deformation and thickness stretching effects, it has only five-unknown variables in the displacement field modeling like Mindlin's theory (FSDT), yet satisfies the zero shear stress conditions on the top and bottom surfaces of the plate without requiring a shear correction factor. The static version of principle of virtual work was employed to derive the governing equations, while the bending problem for simply supported antisymmetric cross-ply laminated plates was solved by a Navier-type closed-form solution procedure. The adequacy of the proposed model is handled by considering the impact of side-to-thickness ratio on bending response of plate through several illustrative examples. Comparison of the obtained numerical results with the other shear deformation theories leads to the conclusion that the present model is more accurate and efficient in predicting the displacements and stresses of laminated composite plates.

• Geomechanics and Engineering
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• 제32권2호
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• pp.159-177
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• 2023

In the present work, a simple and refined shear deformation theory is used to analyze the effect of visco-elastic foundation on the buckling response of exponentially-gradient sandwich plates under various boundary conditions. The proposed theory includes indeterminate integral variables kinematic with only four generalized parameters, in which no shear correction factor is used. The visco-Pasternak's foundation is taken into account by adding the influence of damping to the usual foundation model which characterized by the linear Winkler's modulus and Pasternak's foundation modulus. The four governing equations for FGM sandwich plates are derived by employing principle of virtual work. To solve the buckling problem, Galerkin's approach is utilized for FGM sandwich plates for various boundary conditions. The analytical solutions for critical buckling loads of several types of powerly graded sandwich plates resting on visco-Pasternak foundations under various boundary conditions are presented. Some numerical results are presented to indicate the effects of inhomogeneity parameter, elastic foundation type, and damping coefficient of the foundation, on the critical buckling loads.

• 지능정보연구
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• 제20권3호
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• pp.19-43
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• 2014

전체 결과의 80%가 전체 원인의 20%에 의해 일어난다는 파레토 법칙(Pareto principle)은 상위 20%의 핵심 고객에 대한 우선적인 마케팅을 비롯하여 기업 경영의 많은 부분에서 적용되어 왔다. 파레토 법칙과는 대조적으로, 80%의 사소한 다수가 20%의 핵심적인 소수보다 우월한 가치를 창출한다는 롱테일 법칙(Long Tail theory)은 ICT(Information and Communication Technology)의 발전과 함께 새로운 경영 패러다임으로 주목 받아오고 있다. 본 연구의 목적은 경영 현장에서 양대 흐름을 형성해온 이러한 법칙들이 변화무쌍한 글로벌 가상화 환경에서 기업의 핵심적인 성공 요인이라고 할 수 있는 가상 지식 협업에는 어떻게 관련되는지를 규명하는 것이다. 이를 위해, 대표적인 가상 지식 협업 커뮤니티인 위키피디아에서 품질 최상위 등급인 피쳐드 아티클(Featured Article) 레벨로 승급된 2,978개의 아티클에 대한 협업 행위를 분석하였다. 즉, 각 아티클 그룹에서 편집 횟수 기준 상위 20%에 속하는 참여자들의 총 편집 횟수가 전체 편집 횟수에서 차지하는 비율인 파레토 비율(Pareto ratio)이 지식 협업 효율성과 어떤 관계를 가지고 있는지를 도출하였다. 그리고, 이러한 연구를 편집 참여를 통한 지식 공유에 대한 전체적인 불평등 정도를 나타내는 지니 계수(Gini coefficient)의 영향 및 그룹의 작업 특성을 반영하도록 확장하였다. 결과적으로, 지식 공유의 파레토 비율과 지니 계수가 증가하면 지식 협업 효율성도 높아지지만, 이러한 변수들이 일정 수준 이상으로 증가하면 오히려 지식 협업 효율성이 낮아지는 역 U자(inverted U-shaped) 관계가 있음을 확인하였다. 그리고, 이러한 관계는 인지적 노력을 상대적으로 더 많이 요구하는 학문적인 특성의 작업에서 더 민감하게 작용하는 것으로 보인다.

• 한국산학기술학회논문지
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• 제19권10호
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• pp.430-436
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• 2018

궤도보수용 특수철도차량은 열차 운행동안 철도차량의 진동저감 및 승차감 향상을 위하여 다양한 궤도틀림을 조정하는 탬핑장치를 장착한다. 궤도틀림의 선형화 작업에 대한 인적 오류를 감소하기 위하여 실제 탬핑작업의 착오를 바로 확인할 수 있는 모의 훈련연습기의 개발이 중요하다. 기존 2차원 시뮬레이터의 현실성 및 훈련효과를 높이기 위하여 본 연구에서는 가상현실 공간상에서 본 특수철도차량의 탬핑작업에 대하여 3차원 시뮬레이터 모델링을 구현하였다. 탬핑작업동안 고화질화면 작동 시 발생되는 버퍼링 문제는 고화질 다각형 모델링에서 추출한 로우 다각형의 Unwrap UVW 매핑기법을 사용하여 해결하였다. 탬핑작업의 훈련시 발생하는 인적오류는 침목과 탬핑유니트의 탬핑타인 충돌 유무를 원과 사각형 충돌원리로 감지된다. 또한 충돌과 동시에 작업운전실 의자의 진동이 발생되며, 모의연습기 화면에 침목 타격수량이 현시되므로 훈련생의 숙달정도까지 인지하도록 제작되었다. 그리고 침목위에 튀어 오른 자갈은 차량주행 안전성 심각한 영향을 미치므로 탬핑유니트에 자갈 튀는 효과를 적용하였다.

• 한국강구조학회 논문집
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• 제10권3호통권36호
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• pp.509-523
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• 1998

본 연구에서는 이축 대칭단면을 갖는 박벽 원형아치의 안정성해석을 수행할 수 있는 유한요소 이론 및 엄밀해를 제시하기 위하여, 가상일의 원리를 이용한 3차원 연속체의 운동방정식을 제시한다. 박벽단면의 구속된 비틂(restrained warping)효과를 고려하는 박벽 곡선보의 변위장을 도입하고 이를 연속체의 운동방정식에 대입하여 단면에 대해 적분함으로써 박벽 곡선보의 운동방정식을 유도한다. 단순지지되고 이축 대칭단면을 갖는 박벽 곡선보의 면외좌굴에 대한 엄밀해를 제시하고 박벽 곡선보를 유한요소로 분할하여 요소의 변위장을 요소 변위벡터에 관한 3차의 Hermitian 다항식으로 나타내어 운동방정식에 대입함으로써 탄성 강도행렬과 기하학적 강도행렬을 유도한다. 또한 본 연구에서 얻어진 엄밀해와 박벽 곡선보요소를 이용한 유한요소해석결과를 다른 연구자들의 결과 및 직선 박벽보 요소를 이용한 해석결과와 비교 검토를 함으로써 분 연구의 타당성을 입증한다.