• 한국전산구조공학회논문집
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• 제30권4호
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• pp.335-341
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• 2017

본 논문에서는 고차미분 연속성을 가지는 형상함수에 기초하여 오일러-베르누이 보 유한요소모델을 정식화하였으며, 다양한 경계조건들에 대하여 그 성능을 평가하였다. 이러한 유한요소 모델들은 새로이 개발되는 고차 보 이론들과 논로컬 탄성이론에 기초한 보 이론들의 유한요소해석에 필요하다. 그러나 고차 연속성을 가지는 유한요소에 대한 성능평가는 문헌에서 찾아보기 어렵다. 따라서 본 연구에서는 $C^2$ 및 $C^3$ 두 종류의 고차 유한요소들을 정식화하여 외팔보, 단순지지, 고정-힌지 등의 경계조건들을 적용하고 정적해석을 수행하였다. 고전적인 경계조건들 이외에도 고차 경계조건들이 보의 거동에 미치는 영향을 비교분석하였다. 경계조건에 따라서는 처짐의 미분 값들이 경계주변에서 진동하는 현상이 관찰되었으며, 이는 기하학적 경계조건들에 대하여 뚜렷이 나타난다. 특히 고정단과 같은 경계에서의 변위의 고차미분 조건은 이러한 불안정한 현상을 유발한다. 본 연구에서 얻어진 결과들은 고차 미분 연속성을 가지는 유한요소 이용에 가이드라인으로서 역할을 할 수 있을 것으로 기대된다.

• 대한기계학회논문집B
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• 제26권9호
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• pp.1209-1217
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• 2002

The use of a two dimensional hierarchical elements are investigated for the incompressible flow computation. The construction of hierarchical elements are explained by both a geometric configuration and a determination of degrees of freedom. Also a systematic treatment of essential boundary values has been developed for the degrees of freedom corresponding to higher order terms. The numerical study for the poisson problem shows that the computation with hierarchical higher order elements can increase the convergence rate and accuracy of finite element solutions in more efficient manner than the use of standard first order element. for Stokes and Cavity flow cases, a mixed version of penalty function approach has been introduced in connection with the hierarchical elements. Solutions from hierarchical elements showed better resolutions with consistent trends in both mesh shapes and the order of elements.

• 한국측량학회지
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• 제36권5호
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• pp.355-369
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• 2018

LiDAR (Light Detection And Ranging) strip adjustment is process to improve geo-referencing of the ALS (Airborne Laser Scanner) strips that leads to seamless LiDAR data. Multiple strips are required to collect data over the large areas, thus the strips are overlapped in order to ensure data continuity. The LSA (LiDAR Strip Adjustment) consists of identifying corresponding features and minimizing discrepancies in the overlapping strips. The corresponding features are utilized as control features to estimate transformation parameters. This paper applied SURF (Speeded Up Robust Feature) to identify corresponding features. To improve determination of the corresponding feature, false matching points were removed by applying three schemes: (1) minimizing distance of the SURF feature vectors, (2) selecting reliable matching feature with high cross-correlation, and (3) reflecting geometric characteristics of the matching pattern. In the strip adjustment procedure, corresponding points having large residuals were removed iteratively that could achieve improvement of accuracy of the LSA eventually. Only a few iterations were required to reach reasonably high accuracy. The experiments with simulated and real data show that the proposed method is practical and effective to airborne LSA. At least 80 % accuracy improvement was achieved in terms of RMSE (Root Mean Square Error) after applying the proposed schemes.

• 한국전산유체공학회지
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• 제12권2호
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• pp.21-25
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• 2007

A general purpose program NUFLEX has been extended for two-phase flows with topologically complex interface and cavitation flows with liquid-vapor phase change caused by large pressure drop. In analysis of two-phase flow, the phase interfaces are tracked by employing a LS(Level Set) method. Compared with the VOF(Volume-of-Fluid) method based on a non-smooth volume-fraction function, the LS method can calculate an interfacial curvature more accurately by using a smooth distance function. Also, it is quite straightforward to implement for 3-D irregular meshes compared with the VOF method requiring much more complicated geometric calculations. Also, the cavitation process is computed by including the effects of evaporation and condensation for bubble formation and collapse as well as turbulence in flows. The volume-faction and continuity equations are adapted for cavitation models with phase change. The LS and cavitation formulation are implemented into a general purpose program for 3-D flows and verified through several test problems.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2010년도 학술발표회
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• pp.659-663
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• 2010

In recent, flood inundation damages by hydraulic structure failures have increased drastically and thus a variety of countermeasures were needed to minimize such damages. A real-time flood inundation prediction technique is essential to protect and mitigate flood inundation damages. In the context of real time flood inundation modeling, this study aims to develop a grid based two-dimensional numerical method for flood inundation modeling using globally-available DEM data: SRTM with $90m{\times}90m$ spatial resolution. The newly-developed model guarantees computational efficiency in terms of geometric data processing by direct application of DEM for flood inundation modeling and also have good compatibility with various types of raster data when compared to a commercial model such as FLUMEN. The model, which employed the leap-frog algorithm to solve shallow water and continuity equations, can simulate inundating flow from channel to lowland and also returning flow from lowland to channel by comparing water levels between channel and lowland in real time. We applied the model to simulate the BaekSan levee break in the Nam river during a flood period from August 10 to 13, 2002. The simulation results had good agreements with the field-surveyed data in terms of inundated area and also showed physically-acceptable velocity vector maps with respect to inundating and returning flows.

• 대한조선학회논문집
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• 제31권4호
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• pp.32-40
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• 1994

선박설계에 있어 초기선형설계는 설계요구를 만족하는 초기선형 정의와 정의된 선형의 순정 과정을 거친다. 이 과정에서 선형의 3차원적 정의와 효과적인 순정방법이 동시에 요구된다. 본 논문에서는 곡선망 선형순정법의 결과로 얻어지는 곡선망 선형을 이용하여 곡면간 기하학적 연속($GC^1$)이 만족되는 곡면으로 선형을 정의하였다. 본 논문에서 제시된 방법은 곡선망의 생성과정에서 나타날 수 있는 불규칙한 다각형에 대해서도 곡면화가 가능한 방법이다. Hermite 혼합 Coons 면조각, Convex 조합, Gregory 면조각 보간방법을 선형곡면화에 적용시켜 선체를 3차원 곡면으로 표현했다. 생성된 곡면의 순정도에 대한 검증은 곡면간 교차를 통한 수치적인 방법을 적용하였으며, 실선에 작용한 결과를 예로서 보였다.

• Advances in nano research
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• 제13권4호
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• pp.351-368
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• 2022

Recently, promising structural technologies like multi-function, ultra-load bearing capacity and tailored structures have been put up for discussions. Finite Element (FE) modelling is probably the best-known option capable of treating these superior properties and multi-domain behavior structures. However, advanced materials such as Functionally Graded Material (FGM) and nanocomposites suffer from problems resulting from variable material properties, reinforcement aggregation and mesh generation. Motivated by these factors, this research proposes a unified shape function for FGM, nanocomposites, graded nanocomposites, in addition to traditional isotropic and orthotropic structural materials. It depends not only on element length but also on the beam's material properties and geometric characteristics. The systematic mathematical theory and FE formulations are based on the Timoshenko beam theory for beam structure. Furthermore, the introduced element achieves C1 degree of continuity. The model is proved to be convergent and free-off shear locking. Moreover, numerical results for static and free vibration analysis support the model accuracy and capabilities by validation with different references. The proposed technique overcomes the issue of continuous properties modelling of these promising materials without discarding older ones. Therefore, introduced benchmark improvements on the FE old concept could be extended to help the development of new software features to confront the rapid progress of structural materials.

• 한국지반공학회논문집
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• 제30권10호
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• pp.55-65
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• 2014

최근 토석류의 이동 메커니즘에 대한 연구와 거동 예측을 위한 해석 프로그램의 개발이 활발히 진행중이다. 하지만, 토석류를 유체이동으로 간주하는 기존의 프로그램들은 수치적인 안정성과 모델링 그리고 다양한 경계조건의 적용에 대한 제약이 있다. 본 연구에서는 토석류의 유동현상에 대한 연속방정식과 힘평형 방정식에 대하여 깊이적분을 수행하였다. 토체의 두께 h, x와 y 흐름방향의 평균속도 $\bar{u}$, $\bar{v}$를 주변수로 채택하여 흐름이 없는 해석영역에 대한 수치적인 안정성을 확보하였다. DG기법에 의한 가중행렬을 산정하고 유동방향을 고려한 불연속 시험함수를 이용하여 Petrov-Galerkin 수식화를 수행하였다. 그리고 토석류의 유체 및 토립자의 특성을 동시에 고려할 수 있는 역학적 구성모델을 제시하였다. 단일경사 사면에서 사면경사, 토사 유발량, 저면 마찰 저항이 토석류 흐름특성에 미치는 영향을 비교 분석하였다. 그리고 수치해석을 통하여 사면 하부에 설치된 제방의 영향을 분석하였다. 개발된 해석프로그램을 활용하여 토석류 발생예상 지역의 다양한 위험인자에 대한 평가를 수행하고, 피해를 최소화하기 위한 시설물의 설계방안을 제안할 수 있을 것으로 판단된다.

• Structural Engineering and Mechanics
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• 제86권3호
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• pp.291-309
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• 2023

This paper addresses the finite element modeling of functionally graded porous (FGP) beams for free vibration and buckling behaviour cases. The formulated finite element is based on simple and efficient higher order shear deformation theory. The key feature of this formulation is that it deals with Euler-Bernoulli beam theory with only three unknowns without requiring any shear correction factor. In fact, the presented two-noded beam element has three degrees of freedom per node, and the discrete model guarantees the interelement continuity by using both C⁰ and C¹ continuities for the displacement field and its first derivative shape functions, respectively. The weak form of the governing equations is obtained from the Hamilton principle of FGP beams to generate the elementary stiffness, geometric, and mass matrices. By deploying the isoparametric coordinate system, the derived elementary matrices are computed using the Gauss quadrature rule. To overcome the shear-locking phenomenon, the reduced integration technique is used for the shear strain energy. Furthermore, the effect of porosity distribution patterns on the free vibration and buckling behaviours of porous functionally graded beams in various parameters is investigated. The obtained results extend and improve those predicted previously by alternative existing theories, in which significant parameters such as material distribution, geometrical configuration, boundary conditions, and porosity distributions are considered and discussed in detailed numerical comparisons. Determining the impacts of these parameters on natural frequencies and critical buckling loads play an essential role in the manufacturing process of such materials and their related mechanical modeling in aerospace, nuclear, civil, and other structures.

• 대한수학회보
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• 제60권4호
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• pp.1085-1100
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• 2023

For any given function f, we focus on the so-called prescribed mean curvature problem for the measure e^-f(|x|2)dx provided thate^-f(|x|2) ∈ L¹(ℝⁿ⁺¹). More precisely, we prove that there exists a smooth hypersurface M whose metric is ds² = dρ² + ρ²d𝜉² and whose mean curvature function is ${\frac{1}{n}}(\frac{u^p}{{\rho}^{\beta}})e^{f({\rho}^2)}{\psi}(\xi)$ for any given real constants p, β and functions f and ψ where u and ρ are the support function and radial function of M, respectively. Equivalently, we get the existence of a smooth solution to the following quasilinear equation on the unit sphere 𝕊ⁿ, $${\sum_{i,j}}({{\delta}_{ij}-{\frac{{\rho}_i{\rho}_j}{{\rho}^2+|{\nabla}{\rho}|^2}})(-{\rho}ji+{\frac{2}{{\rho}}}{\rho}j{\rho}i+{\rho}{\delta}_{ji})={\psi}{\frac{{\rho}^{2p+2-n-{\beta}}e^{f({\rho}^2)}}{({\rho}^2+|{\nabla}{\rho}|^2)^{\frac{p}{2}}}}$$ under some conditions. Our proof is based on the powerful method of continuity. In particular, if we take $f(t)={\frac{t}{2}}$, this may be prescribed mean curvature problem in Gauss measure space and it can be seen as an embedded result in Gauss measure space which will be needed in our forthcoming papers on the differential geometric analysis in Gauss measure space, such as Gauss-Bonnet-Chern theorem and its application on positive mass theorem and the Steiner-Weyl type formula, the Plateau problem and so on.