• 제목/요약/키워드: FEM(Finite elements method)

검색결과 332건 처리시간 0.024초

하악골의 부위별 충격시 발생되는 응력에 대한 유한 요소법적 연구 (STRESS ANALYSIS OF A HUMAN MANDIBLE UNDER VARIOUS LOADS USING FINITE ELEMENT METHOD)

  • 김성래;박태원
    • 치과방사선
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    • 제22권1호
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    • pp.7-22
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    • 1992
  • The stress distributions on a human mandible for 18 load cases under two different boundary conditions (mouth open and closed), using the three dimensional finite element modeling were studied. Also, the expected fracture loads for each load cases were calculated by using the Von-Mises yield criterion. The model of a mandible with all teeth was composed of 2402 hexahedron elements and 3698 nodes. CAD techniques were used to analyze the 3-dimensional results. The conclusions of this study were as follows: 1. In the mouth open state, the maximum stress occured at the condyle neck; when the lateral load was exerted, the maximum stress occured at the load side condyle. 2. In the mouth closed state, when the loads were exerted on the mandibular body and chin, the maximum stress occured at the loaded area, and when the loads were exerted on the angle and ramus, the maximum stress occured at the condyle neck. 3. The expected fracture loads in each load case were calculated using the Von-Mises yield criterion, and it was confirmed that the mandible in the mouth open state was more easily fractured than that in the mouth closed state, and the expected fracture loads are lesser in the cases that load direction is parallel at mandibular plane than 45°. 4. The magnitudes of the expected fracture loads increased in the order of angle, ramus, body and chin in case of the mouth closed state, while chin, body, angle and ramus in case of the mouth open state. 5. The Von-Mises stress concentration regions analyzed by F.E.M. corresponded well with the results of clinical studies.

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유한요소법에 의한 하악제 1 대구치의 Cervical Traction의 효과에 관한 역학적 연구 (A FINITE ELEMENT ANALYSIS OF THE DISPLACEMENT AND STRESS DISTRIBUTION OF HUMAN DRY MANDIBLE DURING THE MANDIBULAR FIRST MOLAR CERVICAL TRACTION)

  • 안의영;정규림
    • 대한치과교정학회지
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    • 제19권1호
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    • pp.45-59
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    • 1989
  • This study was undertaken to analyze the displacement and stress distribution in the mandible according to the pulling directions during mandibular first molar cervical traction after mandibular second molar extraction. The 3-dimensional finite element method(FEM) was used for a mathematical model composed of 594 elements and 1019 nodes. An orthodontic force, 450 gm, was applied to the each mandibular first molar in parallel, and below the occlusal plane by $7^{\circ}\;and\;25^{\circ}$ and meet the midsagittal plane by $40^{\circ}$ toward posterior direction. The results were as follows: 1. Mandibular teeth were displaced in more downward, posterior and lateral direction. Especially high stress was noted in case of parallel pull than in case of below the occlusal plane by $7^{\circ}\;and\;25^{\circ}$. 2. Mandibular first molar was moved bodily. 3. Generally, alveolar bone, mandibular body, ascending ramus and mandibular angle portion were displaced in downward, posterior and lateral direction. But coronoid process was displaced in downward, forward and lateral direction, and anterior and inner middle portion of condyle head and neck were displaced in downward, forward and medial direction, and posterior and outer middle portion of condyle head and neck were displaced in upward, forward and medial direction. 4. Maximum stress was observed at the condyle head and neck portion. With steeper direction of force, condyle head and neck showed more stress than parallel relation to the occlusal plane.

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압축응력장 이론을 적용한 콘크리트 유한요소법 개발 (Finite Element Method for Structural Concrete Based on the Compression Field Theory)

  • 조순호
    • 전산구조공학
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    • 제9권1호
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    • pp.151-159
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    • 1996
  • 구조용 콘크리트의 비선형 거동을 예측하기 위하여, 압축강도 연화현상, 거시적 및 회전균열모델등의 내용을 포함하고 있는 압축장 응력장 이론(CFT)에 근거한 유한요소법이 개발/제시되었다. 또한, 이와 관련하여 CFT가 암시하는 탄젠트 및 세칸트 재료강성이 반복계산해법의 관점에서 정의/논의되었다. 최종적으로 계산상의 효율성 증대 및 최대하중 이후의 거동 포착에 주안점을 두어 초기재료 강성을 채택한 변위증분법 논리 및 빠른 수렴을 위한 Over-Relaxtion방법이 Isoparametric계의 8-Node요소에 포함/유도되었다. 이와 같이하여 제시된 비선형 해석 프로그램 NASCOM은 응력 혼돈지역에 위치하는 콘크리트 평면요소의 하중 지지능력, 탄성범위 이후의 변형 특성, 균열양상 및 보강근의 항복범위등의 예측을 가능하게 하였다. NASCOM의 제한된 검증을 위하여, Cervenka의 판넬 시험결과에 대한 하중지지능력 및 변형이력등을 예측한 결과가 전체적인 의미에서 실험결과와 상응하는 일치를 나타내었다.

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대퇴부 거동 해석 및 복합재료 보철물 설계 (Behavior Analysis of the Treated Femur and Design of Composite Hip Prosthesis)

  • 임종완;하성규
    • 대한의용생체공학회:의공학회지
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    • 제23권2호
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    • pp.119-130
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    • 2002
  • 무시멘트 인공 고관절 전치환술 후, 복합재료 스템을 갖는 대퇴골의 장기 거동과 인공 대퇴 보철물의 설계 성능을 분석하기 위하여 비선형 유한요소 프로그램이 개발되었다. 한 발로 서 있을 때의 관절 접촉 하중과 근육하중이 적용되었고, 816개의 brick요소를 갖는 타원형 단면의 복합재료 스템으로 치환된 대퇴골이 3차원 유한요소로 모델링 되었다. 프로그램을 사용하여 대퇴골의 밀도 변화, 응력분포, 상대미소운동이 plate cut과 bend mold와 같은 제작 방법에 대한 스템의 적층 각도 변경에 따라서 평가되었다. 결과는 코발트 크롭 합금, 티타늄 합금, 스테인레스 강과 같은 금속 재료보다 AS4/PEEK, T300/976과 같은 복합재료가 적은 골 흡수를 보였다. 대퇴골 보철물의 장기 안정성 증대는 적당한 복합재료의 적층과 적층 각도의 선택에 의하여 얻어질 수 있었다.

시간 의존적 거동을 고려한 PSC 사장교의 비선형 유한요소해석 (Nonlinear FEM analysis of Cable-stayed PSC Bridges Considering Time-dependent Behavior)

  • 조확신;성대정;임덕기;신현목
    • 한국전산구조공학회논문집
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    • 제24권2호
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    • pp.177-184
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    • 2011
  • 본 논문에서는 PSC 사장교의 시간 의존적 효과가 시공단계 및 극한 거동에 미치는 영향을 파악하기 위하여 재료 비선형, 시공단계별 시간 의존적 해석 및 변화하는 구조시스템에서의 기하 비선형해석 등을 포함한 비선형해석 방법을 제시하였다. 이를 위해 Spacone(1998)이 제안한 유연도법에 근거한 파이버 보-기둥요소를 사용하였으며, 건설기술연구원에서 새롭게 개발한 범용 유한요소해석 프로그램 HFC에 사용자 정의된 요소를 추가하여 사용하였다. 검증대상 교량에 대한 시간 의존적 효과를 고려하여 해석한 결과 시공단계에서의 처짐은 시간 의존적 효과를 고려하지 않은 경우보다 매우 크게 나타났으며, 극한거동에서는 시간 의존적 효과를 고려한 경우 더 작은 처짐에서 교량이 파괴되는 것으로 나타났다.

초소형 디플렉터 타입 볼스크류 개발을 위한 해석에 관한 연구 (A Study on the Analysis for Development of a Deflector Type Miniature Ball Screw)

  • 이춘만;문성호;이영훈;김준환
    • 한국정밀공학회지
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    • 제33권12호
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    • pp.979-984
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    • 2016
  • Recently, ball screws have been used in machine tools, robot parts, and medical instruments. The demand for ball screws of high precision and reduced size is increasing because of the growth of high value-added industries. Three types of ball screws are typically used: deflector type, end-cap type, and tube type. They are also classified from C0 to C9 according to the precision level. A deflector type ball screw can reduce the variation of rotational torque and the size of the nut of the ball screw is minimized. To ensure the reliable design of ball screws, it is important to perform a structural analysis. The purpose of this study is to perform a stability evaluation through analysis of a deflector type miniature ball screw for weapon systems. The analysis is performed through Finite Elements Method (FEM) simulation to predict characteristics such as deformation, stress, and thermal effects. The interference between the shaft and the deflector for smooth rotation are also studied. Based on the results of the analysis, the development of the deflector type miniature ball screw for weapon systems is performed.

Application of a mesh-free method to modelling brittle fracture and fragmentation of a concrete column during projectile impact

  • Das, Raj;Cleary, Paul W.
    • Computers and Concrete
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    • 제16권6호
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    • pp.933-961
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    • 2015
  • Damage by high-speed impact fracture is a dominant mode of failure in several applications of concrete structures. Numerical modelling can play a crucial role in understanding and predicting complex fracture processes. The commonly used mesh-based Finite Element Method has difficulties in accurately modelling the high deformation and disintegration associated with fracture, as this often distorts the mesh. Even with careful re-meshing FEM often fails to handle extreme deformations and results in poor accuracy. Moreover, simulating the mechanism of fragmentation requires detachment of elements along their boundaries, and this needs a fine mesh to allow the natural propagation of damage/cracks. Smoothed Particle Hydrodynamics (SPH) is an alternative particle based (mesh-less) Lagrangian method that is particularly suitable for analysing fracture because of its capability to model large deformation and to track free surfaces generated due to fracturing. Here we demonstrate the capabilities of SPH for predicting brittle fracture by studying a slender concrete structure (column) under the impact of a high-speed projectile. To explore the effect of the projectile material behaviour on the fracture process, the projectile is assumed to be either perfectly-elastic or elastoplastic in two separate cases. The transient stress field and the resulting evolution of damage under impact are investigated. The nature of the collision and the constitutive behaviour are found to considerably affect the fracture process for the structure including the crack propagation rates, and the size and motion of the fragments. The progress of fracture is tracked by measuring the average damage level of the structure and the extent of energy dissipation, which depend strongly on the type of collision. The effect of fracture property (failure strain) of the concrete due to its various compositions is found to have a profound effect on the damage and fragmentation pattern of the structure.

스펙트럼 요소법을 이용한 판 구조물의 램파 전달 해석 (Analysis of Lamb wave propagation on a plate using the spectral element method)

  • 임기룡;김은진;최광규;박현우
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 추계학술대회논문집
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    • pp.71-81
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    • 2008
  • This paper proposes a spectral element which can represent dynamic responses in high frequency domain such as Lamb waves on a thin plate. A two layer beam model under 2-D plane strain condition is introduced to simulate high-frequency dynamic responses induced by piezoelectric layer (PZT layer) bonded on a base plate. In the two layer beam model, a PZT layer is assumed to be rigidly bonded on a base beam. Mindlin-Herrmann and Timoshenko beam theories are employed to represent the first symmetric and anti-symmetric Lamb wave modes on a base plate, respectively. The Bernoulli beam theory and 1-D linear piezoelectricity are used to model the electro-mechanical behavior of a PZT layer. The equations of motions of a two layer beam model are derived through Hamilton's principle. The necessary boundary conditions associated with electro mechanical properties of a PZT layer are formulated in the context of dual functions of a PZT layer as an actuator and a sensor. General spectral shape functions of response field and the associated boundary conditions are formulated through equations of motions converted into frequency domain. A detailed spectrum element formulation for composing the dynamic stiffness matrix of a two layer beam model is presented as well. The validity of the proposed spectral element is demonstrated through comparison results with the conventional 2-D FEM and the previously developed spectral elements.

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사면보강 뿌리말뚝공법의 준3차원적 안정해석기법 (Method of Quasi-Three Dimensional Stability Analysis of the Root Pile System on Slope Reinforcement)

  • 김홍택;강인규;박사원
    • 한국지반공학회지:지반
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    • 제13권5호
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    • pp.101-124
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    • 1997
  • The root pile system is insitu soil reinforcement technique that uses a series of reticulately installed micropiles. In terms of mechanical improvement by means of grouted reinform ming elements, the root pile system is similar to the soil nailing system. The main difference between root piles and soil nailing are due to the fact that the reinforcing bars in root piles are normally grouted under high pressure and that the alignments of the reinforcing members differ. Recently, the root pile system has been broadly used to stabilize slopes and retain excavations. The accurate design of the root pile system is, however, a very difficult tass owing to geometric variety and statical indetermination, and to the difficulty in the soilfiles interaction analysis. As a result, moat of the current design methods have been heavily dependent on the experiences and approximate approach. This paper proposes a quasi-three dimensional method of analysis for the root pile system applied to the stabilization of slopes. The proposed methods of analysis include i) a technique to estimate the change in borehole radium as a function of the grout pressure as well as a function of the time when the grout pressure is applied, ii) a technique to evaluate quasi -three dimensional limit-equilibrium stability for sliding, iii) a technique to predict the stability with respect to plastic deformation of the soil between adjacent root piles, and iv) a quasi -three dimensional finite element technique to compute stresses and dis placements of the root pile structure barred on the generalized plane strain condition and composite unit cell concept talon형 with considerations of the group effect and knot effect. By using the proposed technique to estimate the change in borehole radius as a function of the grout pressure as well as a function of the time, the estimations are made and compar ed with the Kleyner 8l Krizek's experimental test results. Also by using the proposed quasi-three dimensional analytical method, analyses have been performed with the aim of pointing out the effects of various factors on the interaction behaviors of the root pile system.

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경사지반에 인접하여 설치된 무리말뚝의 거동연구 (Behaviors of Pile Croup Installed Near Inclined Ground)

  • Chae, Kwang-Seok;Ugai, Keizo;Yoon, Gil-Lim
    • 한국지반공학회논문집
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    • 제19권3호
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    • pp.53-64
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    • 2003
  • 사면을 포함한 경사지에 설치된 송전탑, 교각, 고층빌딩 등을 지지하는 말뚝은 풍하중, 지진, 차량 등에 의한 수평하중을 고려하여 설계되어야 한다. 이러한 사면이나 경사지에 설치된 수평하중을 받는 말뚝은 편평한 지반에 비하여, 수평지지력이 감소하기 때문이다. 그러므로 이러한 구조물은 일반적으로 강성이 높고, 대구경의 기초인 피어기초가 사용된다. 수평하중을 받는 피어기초는 일반적으로 장대말뚝과 다른 거동을 한다. 즉, 수평하중에 의하여 말뚝 자체의 회전이 발생하고, 그 회전의 중심점 상부의 사면측의 수동토압에 의존하여 지반파괴가 발생한다는 측면에서 짧은 강성 말뚝과 유사한 거동을 한다. 본 논문은 모래사면의 언덕 근처에 설치된 짧은 말뚝의 수평하중의 영향에 대한 실험 및 수치해석 결과를 포함한다. 대부분을 모형실험과 3차원 탄소성 유한요소해석의 비교, 결과를 기술하였다. 먼저, 사면 언덕에서 모형말뚝까지의 거리를 3종류로 구분하여 단항의 모형실험과 군항말뚝의 수평하중 특성을 파악하기 위하여 수평지반과 사면지반(경사 30$^{\circ}$)에 대하여 말뚝중심간의 거리를 각2종류로 모형실험을 실시하였다. 동시에 3차원 탄소성 유한요소법에 의한 수치해석을 통하여 모형실험의 결과와의 비교를 시도하였다. 사용된 모래지반은 배수조건하에서 삼축압축실험으로 재현하였다. 3차원 탄소성 유한요소해석에서 완전탄소성모델의 파괴기준은 Mohr-Coulomb식, 소성 포텐셜은 Drucker-Prage식을 이용한 MC-DP모델을 적용하였다. 연구결과, 3차원탄소성 유한요소법이 사질토 지반에 설치된 짧은 말뚝의 수평거동을 파악하는데 유효하다는 것을 확인하였다.