• 한국전산구조공학회논문집
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• 제17권1호
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• pp.21-30
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• 2004

본 연구에서는 유한요소법을 이용한 채널단면을 갖는 복합재료 적층 구조물의 자유진동을 다룬다. 복합적층 절판구조물에 고차항 판이론을 적용하기 위하여 개발된 유한요소 프로그램은 Lagrangian 및 Hermite 보간함수를 병용하여 면내회전각 자유도를 포함한 절점 당 8개의 자유도를 갖는다. 전단보정계수의 가정을 필요로 하지 않고 전단변형의 3차항 비선형 특성이 고려된 본 논문의 절판 요소는 국부좌표계와 전체좌표계에 대한 좌표변환행렬에 의하여 요소 당 32×32의 국부요소행렬로 구성된다. 본 해석 프로그램의 결과는 기존의 고전적 이론 및 일차항 이론에 의한 문헌 결과와 비교ㆍ분석하였으며, 화이버 보강각도, 길이-두께비, 기하학적 형상 변화 등의 다양한 매개변수 연구를 수행하였다. 본 연구에서는 특히 경계조건 및 길이-두께비 변화에 따라 예측하기 힘든 복잡한 거동을 보이는 복합적층 채널단면 구조물의 자유진동에 대하여 정밀한 고차항 이론 적용에 의한 엄밀 해석의 필요성을 제기하였다.

• 대한환경공학회지
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• 제27권3호
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• pp.286-292
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• 2005

본 연구는 향후 산업적으로 질소산화물 규제가 중요한 문제로 대두될 만한 산업용 보일러를 대상으로 수행하였다. 일반적으로 SNCR 방법의 산업용 보일러로의 적용은 혼합을 위한 충분한 체류시간을 제공하지 못한다는 점에서 적합하지 않은 것으로 알려져 있다. 본 연구의 목적은 SNCR 장치의 산업용 보일러 적용가능성을 조사하기 위한 것이다. 구체적으로 연료로 중유를 사용하는 시간당 스팀 발생량 40톤 규모의 산업용 보일러를 연구 대상으로 하였다. 사업용 보일러의 수치 해석을 위한 3-D 직교좌표계 프로그램에는 난류 유동, 난류 연소반응, NOx의 생성과 환원제와의 반응을 통한 소멸반응 등을 포함하고 있다. 또한 개발된 코드에는 Lagrangian 방법에 의한 입자궤적 프로그램이 포함되어 있고, 주입구에서 접선방향으로의 선회효과를 계산에 의해 고려하였다. 선회버너 효과를 고려한 결과 단화염이 생성되었으며 NOx 환원반응에 적합한 온도 영역의 증가로 인해 NOx 제거효율도 향상되었다. 실험결과와의 비교를 통하여 프로그램을 검증하였으며, 계산결과 혼합용 공기 주입을 통한 환원제와의 혼합 향상을 통해서 SNCR 방법의 산업용 보일러 적용가능성을 확인하였다.

• 소성∙가공
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• 제7권3호
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• pp.233-245
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• 1998

A new approach has been proposed for the incremental analysis of the nonsteady state large deformation of planar anisotropic elastic-plastic sheet forming. A mathematical brief review of a constitutive law for the incremental deformation theory has been presented from flow theory using the minimum plastic work path for elastic-plastic material. Since the material embedded coordinate system(Lagrangian quantity) is used in the proposed theory the stress integration procedure is completely objective. A new return mapping algorithm has been also developed from the general midpoint rule so as to achieve numerically large strain increment by successive control of yield function residuals. Some numerical tests for the return mapping algorithm were performed using Barlat's six component anisotropic stress potential. Performance of the proposed algorithm was shown to be good and stable for a large strain increment, For planar anisotropic sheet forming updating algorithm of planar anisotropic axes has been newly proposed. In order to show the effectiveness and validity of the present formulation earing simulation for a cylindrical cup drawing and front fender stamping analysis are performed. From the results it has been shown that the present formulation can provide a good basis for analysis for analysis of elastic-plastic sheet metal forming processes.

• Structural Engineering and Mechanics
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• 제26권6호
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• pp.725-739
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• 2007

In recent years there are many plate bending elements that emerged for solving both thin and thick plates. The main features of these elements are that they are based on mix formulation interpolation with discrete collocation constraints. These elements passed the patch test for mix formulation and performed well for linear analysis of thin and thick plates. In this paper a member of this family of elements, namely, the Discrete Reissner-Mindlin (DRM) is further extended and developed to analyze both thin and thick plates with geometric nonlinearity. The Von K$\acute{a}$rm$\acute{a}$n's large displacement plate theory based on Lagrangian coordinate system is used. The Hu-Washizu variational principle is employed to formulate the stiffness matrix of the geometrically Nonlinear Discrete Reissner-Mindlin (NDRM). An iterative-incremental procedure is implemented to solve the nonlinear equations. The element is then tested for plates with simply supported and clamped edges under uniformly distributed transverse loads. The results obtained using the geometrically NDRM element is then compared with the results of available analytical solutions. It has been observed that the NDRM results agreed well with the analytical solutions results. Therefore, it is concluded that the NDRM element is both reliable and efficient in analyzing thin and thick plates with geometric non-linearity.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제10권11호
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• pp.5209-5228
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• 2016

Device-to-device (D2D) communication underlaying cellular networks can bring significate benefits for improving the performance of mobile services. However, it hinges on elaborate resource sharing scheme to coordinate interference between cellular users and D2D pairs. We formulate a joint mode selection, link allocation and power control optimization problem for D2D communication sharing uplink resources in a multi-user cellular network and consider the efficiency and the fairness simultaneously. Due to the non-convex difficulty, we propose a three-step scheme: firstly, we conduct mode selection for D2D pairs based on a minimum distance metric after an admission control and obtain some cellular candidates for them. And then, a cellular candidate will be paired to each D2D pair based on fairness. Finally, we use Lagrangian Algorithm to formulate a joint power control strategy for D2D pairs and their reused cellular users and a closed-form of solution is derived. Simulation results demonstrate that our proposed algorithms converge in a short time. Moreover, both the sum rate of D2D pairs and the energy efficiency of cellular users are improved.

• Structural Engineering and Mechanics
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• 제83권4호
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• pp.451-463
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• 2022

The present study deals with forced vibrations of an elastic circular plate supported along its circular edge by unilateral elastic springs. The plate is assumed to be subjected to a uniformly distributed and a concentrated load. Under the combination of these loads, equations of motion are explicitly derived for static and dynamic response analyses by assuming a series of the displacement functions of time and other unknown parameters which are to be determined by employing Lagrangian functional. The approximate solution is sought by applying the Lagrange equations of motions by using the potential energy of the external forces that includes the contributions of the edge forces and the external moments, i.e., those of the effects of the boundary condition to the analysis. For the numerical treatment of the problem in the time domain, the linear acceleration procedure is adopted. The tensionless character of the support is taken into account by using an iterative process and, the coordinate functions for the displacement field are selected to partially fulfill the boundary conditions so that an acceptable approximation can be achieved faster. Numerical results are presented in the figures focusing on the nonlinearity of the problem due to the plate lift-off from the unilateral springs at the edge support.

• 대한조선학회논문집
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• 제28권1호
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• pp.38-52
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• 1991

자유표면하에서 움직이는 임의의 형상의 3차원 물체로 인한 비선형 유체력을 준 Lagrangian 방법을 사용하여 해석하였다. 경계치 문제는 경계 적분 방법(Boundary Integral Method)을 이용하여 해결하였으며, 물체와 자유 표면의 형상은 곡면 Panel로 표현하였다. 이들 표면은 hi-cubic B-spline 방법을 사용하여 유한개의 작은 표면 요소로 나뉘어지게 되며, 또한 \phi와 (equation omitted) 표면 요소상에서 bi-linear하다고 가정한다. 특이점에 의한 유기 포텐시얼의 계산시 1/R에 비례하는 부분은 제거하고 해석적으로 처리하였다. 물체로부터 멀리 떨어진 곳에서의 유체 유통은 좌표계의 원점에 위치한 Dipole로 표현하였으며, Time Stepping시 Runge-Kutta의 4차 방법을 사용하였다. 3차원인 경우에 대한 적분 방정식과 포텐시얼의 시간 미분간에 대한 경계 조건이 유도되었으며, 이러한 식들을 사용하여 자유표면의 형상과 물체의 운동을 동시에 계산하였다. 대진폭을 가지고 규칙적으로 진동하는 물체에 작용하는 힘과 이때의 자유 표면 형상을 계산하고 기 발표된 자료와 비교하여 보았으며, 자유표면 근처에서 운동하는 물체에 작용하는 비선형 효과를 관찰하였다.

• 한국농공학회지
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• 제38권5호
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• pp.74-84
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• 1996

Dynamic loading of structures often causes excursions of stresses well into the inelastic range and the influence of geometric changes on the dynamic response is also significant in many cases. Therefore, both material and geometric nonlinearity effects should be considered in case that a dynamic load acts on the structure. For developing a program to analyze the dynamic response of an axisymmetric shell in this study, the material nonlinearity effect on the dynamic response was formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a total Lagrangian coordinate system, and the equilibrium equation of motion was numerically solved by a central difference scheme. A complete finite element program has been developed and the results obtained by it are compared with those in the references 1 and 2. The results are in good agreement with each other. As a case study of its application, the developed program was applied to a dynamic response analysis of a nuclear reinforced concrete containment structure. The results obtained from the' numerical examples are summarized as follows : 1. The dynamic magnification factor of the displacement and the stress were unrelated with the concrete strength. 2. As shown by the results that the displacement dynamic magnification factor were form 1.7 to 2.3 and the stress dynamic magnification factor from 1.8 to 2.5, the dynamic magnification factor of stress were larger than that of displacement. 3. The dynamic magnification factor of stress on the exterior surface was larger than that on the interior surface of the structure.

• Asian Journal of Atmospheric Environment
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• 제2권1호
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• pp.1-13
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• 2008

A numerical simulation method has been developed to predict atmospheric flow and stack gas diffusion using a calculation domain of several km around a stack under complex terrain conditions containing buildings. The turbulence closure technique using a modified k-$\varepsilon$-type model under a non hydrostatic assumption was used for the flow calculation, and some of the calculation grids near the ground were treated as buildings using a terrain-following coordinate system. Stack gas diffusion was predicted using the Lagrangian particle model, that is, the stack gas was represented by the trajectories of released particles. The numerical model was applied separately to the flow and stack gas diffusion around a cubical building and to a two-dimensional ridge in this study, before being applied to an actual terrain containing buildings in our next study. The calculated flow and stack gas diffusion results were compared with those obtained by wind tunnel experiments, and the features of flow and stack gas diffusion, such as the increase in turbulent kinetic energy and the plume spreads of the stack gas behind the building and ridge, were reproduced by both calculations and wind tunnel experiments. Furthermore, the calculated profiles of the mean velocity, turbulent kinetic energy and concentration of the stack gas around the cubical building and the ridge showed good agreement with those of wind tunnel experiments.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2019년도 학술발표회
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• pp.267-267
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• 2019

Driftwood is one of serious problems in a river environment. In several countries, such as Indonesia, Japan, and Italy, the driftwood frequently appears in a river basin, and it can alter the channel bed, flow configuration by wood deposition and jam formation. Therefore, the studies related to driftwood have been actively conducted by many researchers to understand the mechanism of driftwood dynamics. In particular, wood motion by collision is one of the difficult issues in the numerical simulation because the calculation for wood collision requires significantly expensive calculation time due to small time step. Thus, this study conducted the numerical simulation in consideration of the wood motion by water flow and wood collision to understand the wood dynamics in terms of computation. We used the 2D (two-dimensional) depth-averaged velocity model, Nays2DH, which is a Eulerian model to calculate the water flow on the generalized coordinate. A Lagrangian type driftwood model, which expresses the driftwood as connected sphere shape particles, was employed to Nays2DH. In addition, the present study considered root wad effect by using larger diameter for a particle at a head of driftwood. An anisotropic bed friction was considered for the sliding motion dependent on stemwise, streamwise and motion directions. We particularly considered changeable draft at each particle and projection area by an angle between stemwise and flow directions to precisely reproduce the wood motions. The simulation results were compared with experimental results to verify the model. As a result, the simulation results showed good agreement with experimental results. Through this study, it would be expected that this model is a useful tool to predict the driftwood effect in the river flow.