• 대한치과보철학회지
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• 제37권1호
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• pp.71-92
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• 1999

This study is to analyze the stress and displacement on the jaws during the bilateral and unilateral clenching task on three dimensional finite element model of the dentated skull. For this study, the computed tomography(G.E.8800 Quick, USA) was used to scan the total length of human skull in the frontal plane at 1.9mm intervals. The CAD data were extracted from the tomograms through digitizer(Summa Sketch III, USA) and then reconstructed by means of the spline method in the CAD program. In this project, a commercial software I-DEAS(Master Series ver-sion 3.0, SDRC Inc, USA) was used for three-dimensional stress analysis on the finite element model. which consists of articular disc, maxilla, mandible, teeth, periodontal ligament and cranium. The results are as follows. ; 1. During the bilateral clenching, each major muscle forces caused high stresses on various areas of skull: masseter muscle on articular disc and teeth ; temporal muscle on mandible and periodontal ligament ; medial pterygoid muscle on the temporomandibular joint. During the unilateral clenching, masseter muscle induced the maximum stress ; medial pterygoid muscle the minimum stress. 2. During the bilateral clenching, higher compressive stresses on articular disc were generated by the masseter muscle and higher deformation occurred on the most front outer sites. And during the unilateral clenching, temporal muscle and medial pterygoid muscle exerted their forces to twist temporomandibular joint area of the balancing side and induced a higher compressive stresses on the front outer sites of articular disc. 3. During the bilateral clenching, the masseter muscle bended the mandible outwardly, and then caused tensile stresses on the lingual surface of mandibular symphysis. And the medial pterygoid muscle caused tensile stresses on the labial surface of mandibular symphysis. 4. When each muscles were simultaneously applied on jaws, a high stress and displacement took place on mandible rather than on the maxilla. Also, a high stress and displacement took place during the unilateral clenching rather than during the bilateral clenching.

• 한국전산구조공학회논문집
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• 제22권6호
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• pp.579-585
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• 2009

본 연구에서는 분사식 섬유보강 코팅층(sprayed fiber reinforced polymer, SFRP)으로 보강된 RC보의 성능평가를 위하여 유한요소해석을 수행하였다. 이를 위하여 미세역학을 기반으로 한 구성모델(micromechanical constitutive model)(Lee, 2001)과 손상모델(Damage models)(Lee 등, 2000; 2005)을 결합시킨 손상구성모델(damage constitutive model)을 유한요소 프로그램인 ABAQUS에 적용하였다. 유한요소해석 결과를 실험값(Ha, 2007; Ha 등, 2009)과 비교하여 손상구성모델의 정확성을 증명하고자 하였다. 비교분석 결과, 손상구성모델을 유한요소 프로그램에 적용한 해석은 실험결과(Ha, 2007; Ha 등, 2009)를 비교적 잘 예측하고 있음을 보여주었다.

• 대한기계학회논문집
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• 제16권5호
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• pp.829-837
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• 1992

본 연구에서는 열간박판압연공정에서의 소성유동, 롤압력, 온도분포를 예측하 기 위한 새로운 방법을 제안하고 있다. 제안된 방법은 유한요소 수식화에 바탕을 두 고 있으며 박판의 소성유동과 온도판의 소성유동과 롤-박판 접촉면에서의 롤압력을 예 측하기 위하여 Hwang등이 제안한 벌칙 강소성 유한요소 수식화기법을 제시하였으며 제 안된 방법에 대한 해의 정확도는 문헌에서의 이론해와 시뮬레이션 결과를 비교하여 확 인하였다. 또한 박판에서의 온도장, 속도장과 롤에서의 온도장의 연계해석을 위한 반복계산방법이 제안되었다. 제안된 방법들을 이용하여 다양한 공정에 대한 시뮬레 이션을 수생하였으며 다양한 공정조건에 대한 롤-박판 시스템의 열적특성과 롤간극에 서 박판의 유동특성을 조사하였다.

• 한국가스학회지
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• 제7권4호
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• pp.44-52
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• 2003

본 논문은 원자력발전소 방화벽에 설치된 케이블관통부 충전시스템(CPFS: Cable penetration fire stop) 안에서 일어나는 동적 열전달 현상을 수식화하고, 새로운 혼합알고리즘을 이용해서 수치적으로 계산하여, 3차원 그래픽으로 나타내는 작업에 관한 연구이다. CPFS 내에서의 열전도 현상을 주어진 초기조건과 경계조건하에서 포물선 편미분방정식(Parabolic PDE)으로 수식화하였다. 계산을 단순화하기 위하여 전체 열 흐름을 z-축직선상에서의 일어나는 열전도 성분과 x-y-좌표 평면상에서 일어나는 열전도 성분으로 나누었다. z-축과 평행한 직선상에서 일어나는 열전도를 나타내는 PDE는 연속과완화법(SOR: Sequential over-relaxation)을 이용하여 유한불연속 점들에 대한 연립상미분방정식(ODE)으로 만들어서 풀었고, x-y-좌표 평면상에서 일어나는 열전도에 관한 PDE는 Galerkin 유한요소법(FEM: Finite element method)을 적용하여 ODE로 전환해서 풀었다. 여기서 시간과 공간의 함수인 온도는 각 직선상의 점들과 각 평면상의 요소절점들에 대해서 일정한 시간간격으로 초기온도와 경계온도를 업데이트하여 번갈아 가며 계산한다. 이러한 일련의 계산결과를 바탕으로 CPFS시스템 내에서의 온도분포의 동적인 변화를 계산해 낼 수 있었다. 결론적으로 관통하는 케이블이 CPFS시스템의 온도분포에 매우 중요한 역할을 한다는 것을 알 수 있었다. 시뮬레이션 결과는 CPFS내의 온도분포를 쉽게 이해할 수 있도록 3차원 그래픽으로 나타냈으며, 관통하는 케이블이 방화시스템의 온도분포에 매우 중요한 영향을 끼친다는 것을 알 수 있었다. 마지막으로 계산결과를 실험결과와 직접 비교함으로써, 개발된 모델과 계산 알고리즘의 정당성을 보였다.

• Structural Engineering and Mechanics
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• 제55권3호
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• pp.655-674
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• 2015

In this paper, a new and simplified method is presented in which the natural frequencies of the uniform and non-uniform beams are calculated through simple mathematical relationships. The various vibration problems such as: Rayleigh beam under variable axial force, axial vibration of a bar with and without end discrete spring, torsional vibration of a bar with an attached mass moment of inertia, flexural vibration of the beam with laterally distributed elastic springs and also flexural vibration of the beam with effects of viscose damping are investigated. The governing differential equations are first obtained and then; according to a harmonic vibration, are converted into single variable equations in terms of location. Through repetitive integrations, the governing equations are converted into weak form integral equations. The mode shape functions of the vibration are approximated using a power series. Substitution of the power series into the integral equations results in a system of linear algebraic equations. The natural frequencies are determined by calculation of a non-trivial solution for system of equations. The efficiency and convergence rate of the current approach are investigated through comparison of the numerical results obtained with those obtained from other published references and results of available finite element software.

• 대한수학회지
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• 제55권1호
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• pp.101-129
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• 2018

From an analytical perspective, we introduce a sequence of Cartier operators that act on the field of formal Laurent series in one variable with coefficients in a field of positive characteristic p. In this work, we discover the binomial inversion formula between Hasse derivatives and Cartier operators, implying that Cartier operators can play a prominent role in various objects of study in function field arithmetic, as a suitable substitute for higher derivatives. For an applicable object, the Wronskian criteria associated with Cartier operators are introduced. These results stem from a careful study of two types of Cartier operators on the power series ring ${\mathbf{F}}_q$[[T]] in one variable T over a finite field ${\mathbf{F}}_q$ of q elements. Accordingly, we show that two sequences of Cartier operators are an orthonormal basis of the space of continuous ${\mathbf{F}}_q$-linear functions on ${\mathbf{F}}_q$[[T]]. According to the digit principle, every continuous function on ${\mathbf{F}}_q$[[T]] is uniquely written in terms of a q-adic extension of Cartier operators, with a closed-form of expansion coefficients for each of the two cases. Moreover, the p-adic analogues of Cartier operators are discussed as orthonormal bases for the space of continuous functions on ${\mathbf{Z}}_p$.

• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2007년도 추계학술대회 및 제23회 정기총회
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• pp.25-26
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• 2007

Ship are typically thin-walled structures and consists of stiffened plate structure by purpose of required design load and weight reduction etc. Also, a hull structural characteristics are often used in structures with curvature at deck plating with camber, side shell plating at fore and aft parts and bilge circle parts, It have been believed that these structures can be modelled fundamentally by a part of cylinder. Structural component with curvature subjected to combined loading regimes and complex boundary conditions, which can potentially collapse due to buckling. Hence, for more rational and safe design of ship structures, it is crucial importance to better understand the interaction relationship of the buckling and ultimate strength for cylindrically curved plate under these load components. In this study, the ultimate strength characteristic of curved plate under combined load(lateral pressure load + axial compressive load) are investigated through using FEM series analysis with varying geometric panel properties.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2005년도 지반공학 공동 학술발표회
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• pp.443-452
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• 2005

The compaction pile methods with low replacement area ratio used sand(SCP) or gravel(GCP) has been usually applied to improvement of soft clay deposits. In order to design accurately compaction pile method with low replacement area ratio, it is important to understand the mechanical interaction between sand piles and clays and its mechanism during consolidation process of the composition ground. In this paper, a series of numerical analyses on composition ground improved by SCP and GCP with low replacement area ratio were carried out, in order to investigate the mechanical interaction between sand piles and clays. The applicability of numerical analyses, in which and elasto-viscoplastic consolidation finite element method was applied, could be confirmed comparing with results of a series of model tests on consolidation behaviors of composition ground improved by SCP. And,through the results of the numerical analyses, each mechanical behaviors of compaction piles and clays in the composition ground during consolidation was elucidated, together with stress sharing mechanism between compaction piles and clays.

• Journal of Electrical Engineering and Technology
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• 제13권6호
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• pp.2158-2167
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• 2018

This paper analyzed the magnetic field produced by the cylindrical stator coils of permanent magnet spherical motor (PMSM). The elliptic equations about the vector magnetic potential were given. Given that the eddy current effects are neglected, the magnet field of the PMSM is regarded as irrotational field, which can be calculated by scalar magnetic potential. The current density of cylindrical stator coil was proposed based on the definition of current density. The expression of current density of stator coil was obtained according to the double Fourier series decomposition and spherical harmonic functions. Then the magnetic flux density for scalar magnetic potential was derived. Further, the influence of different parameters on radial flux density was also analyzed. Finally, the results by the analytical method in this paper were validated by finite element analysis (FEA).

• 대한수학회보
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• 제51권4호
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• pp.923-931
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• 2014

Let x be an element of a group G and be an automorphism of G. Then for a positive integer n, the autocommutator $[x,_n{\alpha}]$ is defined inductively by $[x,{\alpha}]=x^{-1}x^{\alpha}=x^{-1}{\alpha}(x)$ and $[x,_{n+1}{\alpha}]=[[x,_n{\alpha}],{\alpha}]$. We call the group G to be n-auto-Engel if $[x,_n{\alpha}]=[{\alpha},_nx]=1$ for all $x{\in}G$ and every ${\alpha}{\in}Aut(G)$, where $[{\alpha},x]=[x,{\alpha}]^{-1}$. Also, for any integer $n{\neq}0$, 1, a group G is called an n-auto-Bell group when $[x^n,{\alpha}]=[x,{\alpha}^n]$ for every $x{\in}G$ and each ${\alpha}{\in}Aut(G)$. In this paper, we investigate the properties of such groups and show that if G is an n-auto-Bell group, then the factor group $G/L_3(G)$ has finite exponent dividing 2n(n-1), where $L_3(G)$ is the third term of the upper autocentral series of G. Also, we give some examples and results about n-auto-Bell abelian groups.