• Structural Engineering and Mechanics
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• 제64권5호
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• pp.591-610
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• 2017

This paper is concerned with the static analysis of variable thickness of two directional functionally graded porous materials (FGPM) circular plate resting on a gradient hybrid foundation (Horvath-Colasanti type) with friction force and subjected to compound mechanical loads (e.g., transverse, in-plane shear traction and concentrated force at the center of the plate).The governing state equations are derived in terms of displacements based on the 3D theory of elasticity, assuming the elastic coefficients of the plate material except the Poisson's ratio varying continuously throughout the thickness and radial directions according to an exponential function. These equations are solved semi-analytically by employing the state space method (SSM) and one-dimensional differential quadrature (DQ) rule to obtain the displacements and stress components of the FGPM plate. The effect of concentrated force at the center of the plate is approximated with the shear force, uniformly distributed over the inner boundary of a FGPM annular plate. In addition to verification study and convergence analysis, numerical results are displayed to show the effect of material heterogeneity indices, foundation stiffness coefficients, foundation gradient indices, loads ratio, thickness to radius ratio, compressibility, porosity and friction coefficient of the foundation on the static behavior of the plate. Finally, the responses of FG and FG porous material circular plates to compound mechanical loads are compared.

• 한국전산구조공학회논문집
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• 제14권3호
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• pp.349-359
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• 2001

본 논분은 평판구조물의 동적 시간이력해석을 수행하기 위하여 개발된 사절점 판요소에 대하여 기술하였다. 이 요소는 두꺼운 판에서 발생하는 횡전단 변형효과를 고려하기 위하여 Reissner-Mindlin(RM)가정을 도달하였다. 알려진 바와 같이 RM가정을 바탕으로 개발된 판요소가 얇은 판에 적용되면 전단강성 과대현상(,Shear Locking Phenomenon)을 일으키는데 이를 개선하기 위하여 본 연구에서는 가변형도법을 이용한 대체변형도를 자연좌표계에 준하여 명시적으로 유도하였다. 개발된 저차 판요소는 중앙 차분법을 이용한 명시적인 동적 해석 알고리즘에 적용되었으며 이때 판의 대각질량행렬은 특별집중질량법을 사용하여 형성하였다. 개발된 판의 성능은 수치예제를 통하여 평가하고 검증하였다.

• Computers and Concrete
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• 제23권5호
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• pp.361-376
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• 2019

In this research, bending analysis of a micro sandwich skew plate with isotropic core and piezoelectric composite face sheets reinforced by carbon nanotube on the elastic foundations are studied. The classical plate theory (CPT) are used to model micro sandwich skew plate and to apply size dependent effects based on modified strain gradient theory. Eshelby-Mori-Tanaka approach is considered for the effective mechanical properties of the nanocomposite face sheets. The governing equations of equilibrium are derived using minimum principle of total potential energy and then solved by extended Kantorovich method (EKM). The effects of width to thickness ratio and length to width of the sandwich plate, core-to-face sheet thickness ratio, the material length scale parameters, volume fraction of CNT, the angle of skew plate, different boundary conditions and types of cores on the deflection of micro sandwich skew plate are investigated. One of the most important results is the reduction of the deflection by increasing the angle of the micro sandwich skew plate and decreasing the deflection by decreasing the thickness of the structural core. The results of this research can be used in modern construction in the form of reinforced slabs or stiffened plates and also used in construction of bridges, the wing of airplane.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2006년도 추계학술대회논문집
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• pp.797-800
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• 2006

The power flow analysis(PFA) can be effectively used to predict structural vibration in medium-to-high frequency ranges. In this paper, vibration experiment has been performed to observe the analytical characteristics of the power flow analysis of the vibration of a plate. In the experiment, the loss factor of the plate and the input mobility at a source point have been measured. The data for the loss factor has been used as the input data to predict the vibration of the plate with PFA. The frequency response functions have been measured over the surface of the plate. The comparison between the experimental results and the predicted results for the frequency responsefunctionshasbeenperformed.

• 대한기계학회논문집
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• 제10권5호
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• pp.770-778
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• 1986

This paper is studied on the Junctiion of the large tank and the cylinderical outlet such as a pressure vessel attached a pipe or nozzle theoretically. It is assumed that the diameter of tank is much larger than that of the nozzle, so it can be approximated that nozzle is attached to plate. The analysis procedure can be viewed as the solution of interdependent subproblems: (a) the stress analysis of the cylinderical shell(nozzle), (b) the plane-stress analysis of the plate membrane problem, and (c) the analysis of the transverse bending deformation in the plate. On the procedure of (a), the Flugge formula are used, and the variables are the length and the ratio of the thickness to the radius of cylinderical shell. The solutions of thess problems are interrelated in the total solution through continuity and equilibrium conditions at the interface of middle planes of the plate and cylinderical shell.

• 한국소음진동공학회논문집
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• 제24권10호
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• pp.788-794
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• 2014

In this paper, the transient response analysis of the trapezoidal corrugated plate subjected to the pulse load is investigated by the theoretical method. Three types of pulse loads are considered: stepped, isosceles triangular and right triangular pulse loads. The corrugated plates can be represented as an orthotropic plate. Both the effective extensional and flexural stiffness of this equivalent orthotropic plate are considered in the analysis. The plate is stiffened by concentric stiffeners perpendicular to the corrugation direction. The stiffening effect is represented by the discrete stiffener theory. This theoretical results are validated by those obtained from 3D finite element analysis based on shell elements. Some numerical results are presented to check the effect of the geometric properties.

• 한국해양공학회지
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• 제17권3호
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• pp.21-26
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• 2003

An iteractive Kantorovich method is presented for the vibration analysis of rectangular orthotropic thick plates. Mindlin plate characteristic functions are derived in general forms using the Kantorovich method. Initially, Timoshenko beam functions consistent with the boundary conditions of the plate were used. Through numerical calculations of natural fairs of appropriate models, it has been confirmed that the method presented is superior to the Rayleigh-Ritz analysis or the finite element analysis in both accuracy and computational efficiency.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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• pp.311-318
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• 2002

In this study, we developed an analysis method of plate forming by induction heating and verified the effectiveness of the present method through a series of experiments. The phenomena of the induction heating is a 3D transient problem coupled with electromagnetic, heat transfer, and elastoplastic large deformation analyses. To solve the problem, we suggest a proper model and an integrated system. Using the present analysis model, we can estimate the plate deformation in heating without experiments and simulate the plate bending process of induction heating.

• 한국CDE학회논문집
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• 제21권3호
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• pp.234-241
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• 2016

Conventional bent plate used in mandibular reconstruction surgery needs safety verification since its mechanical properties are changed due to the plastic deformation during the bending process. In this study we investigate stability of the plastically deformed plate and the plate with the same shape without plastic deformation through the finite element analysis(FEA). First we simulate the process of plate bending to fit the defect in patient. Then, the other plate is modelled to represent a customized plate with the same shape of the plastically deformed one, but without any residual stresses from plastic deformation. After binding these plates to the mandible, we conduct the masticatory simulation. Finally, we compare the resulting Von Mises stress of the customized plate and of the bent plate. The bent plate shows much higher stress than the customized one due to the residual stresses form the bending process. The study shows that plastic deformation in the plate may decrease the safety of the reconstruction surgery.

• 대한조선학회논문집
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• 제37권4호
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• pp.92-105
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• 2000

세장한 선박 판부재를 대상으로 가장 중요한 하중인 종방향 면내하중을 작용시키면서 이중판의 폭, 길이, 두께 및 주판(main plate) 부식 영향 등의 각종 파라메타 영향에 따른 이중판의 정적 강도평가를 주판의 접촉효과를 고려한 탄소성 대변형 비선형 시리즈 구조해석을 수행하였으며 이들 해석 결과로부터 각 파라메타의 변화에 따른 강성과 강도 특성을 분석하였다. 또한 이중판의 보강 효과가 최소한 새판으로 치환 보수한 평판 강도 수준으로 설계되어야 하므로 이를 손쉽게 파악할 수 있게 이중판으로 보강된 판부재를 등가 평판 두께로 환산할 수 있는 간이 평가식을 개발하였다. 이 개발식을 이용하여 각 이중판 설계의 영향인자 변화에 따른 등가 평판두께의 증감 정도를 파악하고 이로부터 적어도 새판으로 보수한 평판강도에 달할 수 있게 길이방향 일축 면내 압축하중을 받는 세장한 이중판의 설계지침을 제시하였다. 마지막으로, 개발된 등가 평판 도출식은 고정밀 좌굴강도 평가식과 서로 일정한 상관관계가 있음을 확인하고 관계식을 정립하였다. 이 관계식을 각 경우별로 축적하여 앞으로 일일이 구조해석을 수행하지 않고도 설계된 이중판 강도를 등가 평판두께로 제시할 수 있는 간이 추정식의 개발에 이용될 수 있을 것으로 사료된다.