• 제목/요약/키워드: nodal stress

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유한요소법을 이용한 수종 2급 아말감 와동의 비교연구 (A STUDY ON COMPARISON OF VARIOUS KINDS OF CLASSII AMALGAM CAVITIES USING FINITE ELEMENT METHOD)

  • 석창인;엄정문
    • Restorative Dentistry and Endodontics
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    • 제20권2호
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    • pp.432-461
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    • 1995
  • The basic principles in the design of Class II amalgam cavity preparations have been modified but not changed in essence over the last 90 years. The early essential principle was "extension for prevention". Most of the modifications have served to reduce the extent of preparation and, thus, increase the conservation of sound tooth structure. A more recent concept relating to conservative Class II cavity preparations involves elimination of occlusal preparation if no carious lesion exists in this area. To evaluate the ideal ClassII cavity preparation design, if carious lesion exists only in the interproximal area, three cavity design conditions were studied: Rodda's conventional cavity, simple proximal box cavity and proximal box cavity with retention grooves. In this study, MO amalgam cavity was prepared on maxillary first premolar. Three dimensional finite element models were made by serial photographic method. Linear, eight and six-nodal, isoparametric brick elements were used for the three dimensional finite element model. The periodontal ligament and alveolar bone surrounding the tooth were excluded in these models. Three types model(B option, Gap option and R option model) were developed. B option model was assumed perfect bonding between the restoration and cavty wall. Gap option model(Gap distance: $2{\mu}m$) was assumed the possibility of play at the interface simulated the lack of real bonding between the amalgam and cavity wall (enamel and dentin). R option model was assumed non-connection between the restoration and cavty wall. A load of 500N was applied vertically at the first node from the lingual slope of the buccal cusp tip. This study analysed the displacement, 1 and 2 direction normal stress and strain with FEM software ABAQUS Version 5.2 and hardware IRIS 4D/310 VGX Work-station. The results were as followed. 1. Rodda's cavity form model showed greater amount of displacement with other two models. 2. The stress and strain were increased on the distal marginal ridge and buccopulpal line angle in Rodda's cavity form model. 3. The stress and strain were increased on the central groove and a part of distal marginal ridge in simple proximal box model and proximal box model with retention grooves. 4. With Gap option, Rodda's cavity form model showed the greatest amount of the stress on distal marginal ridge followed by proximal box model with retention grooves and simple proximal box model in descending order. 5. With Gap option, simple proximal box model showed greater amount of stress on the central groove with proximal box model with retention grooves. 6. Retention grooves in the proximal box played the role of supporting the restorations opposing to loads.

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응력근사해법(應力近似解法)을 이용한 평면(平面)트러스구조물(構造物)의 형상최적화(形狀最適化)에 관한 연구(研究) (Optimization of the Truss Structures Using Member Stress Approximate method)

  • 이규원;유희중
    • 대한토목학회논문집
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    • 제13권2호
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    • pp.73-84
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    • 1993
  • 본(本) 연구(研究)에서는 분할기법(分割技法)을 이용하여 평면(平面)트러스구조물(構造物)의 형상최적화(形狀最適化)를 시도(試圖)하였다. 본(本) 연구(研究)의 제(第)1단계(段階)(Level 1)에서는 다른 연구(研究)와 달리 응력제약(應力制約)을 감도해석(感度解析)에 효율적(效率的)이라고 알려진 설계공간법(設計空間法)에 의해서 부재응력근사화(部材應力近似化)를 하므로서 비선형최적화문제(非線形最適化問題)가 선형계획문제(線形計劃問題)로 변환(變換)되어 해(解)를 효율적(效率的)으로 구할 수 있고 또한 감도해석(感度解析)을 위한 구조해석수(構造解析數)를 줄일 수 있다. 목적함수(目的凾數)는 구조물(構造物)의 중량(重量)이 최소(最小)가 되도록 중량함수(重量凾數)를 택하였다. 제약조건식(制約條件式)으로는 허용응력(許容應力), 좌굴응력(挫屈應力), 변위제약(變位制約) 및 설계변수(設計變數) 상하한치제약(上下限値制約)을 부과(附課)하였고 다(多) 재하조건(載荷條件)을 고려(考慮)하여 최적화문제(最適化問題)를 형성(形成)하였다. 제(第)2단계(段階)(Level 2)에서는 설계변수(設計變數) 및 조정변수(調整變數)를 절점좌표(節點座標)로 하고 목적함수(目的凾數)로는 중량함수(重量凾數)로 하여 최적화문제(最適化問題)를 형성(形成)하였다. 절점좌표(節點座標)만을 설계변수(設計變數)로 하므로서 무제약최적화문제(無制約最適化問題)로 형성(形成)되므로 최적화(最適化) 과정(過程)이 용이(容易)하다. 본(本) 연구(研究)의 제(第)1단계(段階)에서는 부재응력(部材應力)을 근사화(近似化)하여 단면(斷面)을 최적화(最適化)하고 제(第)2단계(段階)에서는 형상(形狀)만 최적화(最適化)하는 분할기법(分割技法)을 트러스구조물(構造物)에 적용(適用)한 결과 본(本) 연구(研究)는 트러스구조물(構造物)의 형태(形態), 제약조건식(制約條件式)에 구애받지 않고 최적해(最適解)에 부재응력근사화(部材應力近似化)로 인하여 효율적(效率的)으로 수렴(收斂)하였고 또한 타(他)의 연구(研究)와 거의 동일(同一)한 연구(研究) 결과(結果)를 얻었으며 형상최적화(形狀最適化)로 트러스구조물(構造物)의 중량(重量)을 5.4% - 15.4% 까지 감소(減少)시켰다.

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IV형의 골질로 재생된 골내에 식립된 원통형 임플란트의 유한요소법적 연구 (FINITE ELEMENT ANALYSIS OF CYLINDER TYPE IMPLANT PLACED INTO REGENERATED BONE WITH TYPE IV BONE QUALITY)

  • 김병옥;홍국선;김수관
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • 제30권4호
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    • pp.331-338
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    • 2004
  • Stress transfer to the surrounding tissues is one of the factors involved in the design of dental implants. Unfortunately, insufficient data are available for stress transfer within the regenerated bone surrounding dental implants. The purpose of this study was to investigate the concentration of stresses within the regenerated bone surrounding the implant using three-dimensional finite element stress analysis method. Stress magnitude and contours within the regenerated bone were calculated. The $3.75{\times}10-mm$ implant (3i, USA) was used for this study and was assumed to be 100% osseointegrated, and was placed in mandibular bone and restored with a cast gold crown. Using ANSYS software revision 6.0, a program was written to generate a model simulating a cylindrical block section of the mandible 20 mm in height and 10 mm in diameter. The present study used a fine grid model incorporating elements between 165,148 and 253,604 and nodal points between 31,616 and 48,877. This study was simulated loads of 200N at the central fossa (A), at the outside point of the central fossa with resin filling into screw hole (B), and at the buccal cusp (C), in a vertical and $30^{\circ}$ lateral loading, respectively. The results were as follows; 1. In case the regenerated bone (bone quality type IV) was surrounded by bone quality type I and II, stresses were increased from loading point A to C in vertical loading. And stresses according to the depth of regenerated bone were distributed along the implant evenly in loading point A, concentrated on the top of the cylindrical collar loading point B and C in vertical loading. And, In case the regenerated bone (bone quality type IV) was surrounded by bone quality type III, stresses were increase from loading point A to C in vertical loading. And stresses according to the depth of regenerated bone were distributed along the implant evenly in loading point A, B and C in vertical loading. 2. In case the regenerated bone (bone quality type IV) was surrounded by bone quality type I and II, stresses were decreased from loading point A to C in lateral loading. Stresses according to the depth of regenerated bone were concentrated on the top of the cylindrical collar in loading point A and B, distributed along the implant evenly in loading point C in lateral loading. And, In case the regenerated bone (bone quality type IV) was surrounded by bone quality type III, stresses were decreased from loading point A to C in lateral loading. And stresses according to the depth of regenerated bone were distributed along the implant evenly in loading point A, B and C in lateral loading. In summary, these data indicate that both bone quality surrounding the regenerated bone adjacent to implant fixture and load direction applied on the prosthesis could influence concentration of stress within the regenerated bone surrounding the cylindrical type implant fixture.

유한요소해의 정확도 조절을 위한 적응해석법 (Adaptive Analysis Methods for the Accuracy Control of Finite Element Solutions)

  • 오형석;이대일;최준형;임장근
    • 대한기계학회논문집A
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    • 제20권7호
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    • pp.2067-2077
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    • 1996
  • In adaptive finite element analysis, r- and h-methods are generally used on the basis of a discretization error estimator. In this paper, an rh-method is proposed as a new adaptive method which can improve the adaptivity performance by using both of them. This suggested rh-method moves nodal coordinates of initially given model to adjust element discretization errors and thereafter performes the h-method tdo obtain the specified accuracy of finite element solutions. Numerical experiments for various plane problems were performed using 4-noded isoparametric quadrilateral elements. As a result, the rh-method has been shown to be an accurate and efficient adaptive analysis method to obtain as improved solution.

Numerical analysis of an offshore platform with large partial porous cylindrical members due to wave forces

  • Park, Min-Su;Kawano, Kenji;Nagata, Shuichi
    • Ocean Systems Engineering
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    • 제1권4호
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    • pp.337-353
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    • 2011
  • In the present study, an offshore platform having large partial porous cylindrical members, which are composed of permeable and impermeable cylinders, is suggested. In order to calculate the wave force on large partial porous cylindrical members, the fluid domain is divided into three regions: a single exterior region, N inner regions and N beneath regions, and the scattering wave in each fluid region is expressed by an Eigen-function expansion method. Applying Darcy's law to the porous boundary condition, the effect of porosity is simplified. Wave excitation forces and wave run up on the structures are presented for various wave conditions. For the idealized three-dimensional platform having large partial porous cylindrical members, the dynamic response evaluations of the platform due to wave forces are carried out through the modal analysis. In order to examine the effects of soil-structure interaction, the substructure method is also applied. The displacement and bending stress at the selective nodal points of the structure are computed using various input parameters, such as the shear-wave velocity of soil, the wave height and the wave period. Applying the Monte Carlo Simulation (MCS) method, the reliability evaluations at critical structure members, which contained uncertainties caused by dynamic forces and structural properties, are examined by the reliability index with the results obtained from MCS.

건축구조물의 효율적인 연직진동 해석 (Efficient Analysis of Vertical Vibration of Building Structures)

  • 이동근;안상경;김태호
    • 한국지진공학회논문집
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    • 제2권2호
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    • pp.23-34
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    • 1998
  • 본 논문은 바닥판을 고려한 3차원 골조 구조물의 효율적인 연직 진동 해석법을 제안한다. 바닥판의 영향을 고려하면 구조물의 진동해석을 좀더 정확히 수행할 수 있는 반면, 면요소의 사용에 따른 많은 자유도의 사용으로 많은 해석시간과 기억용량이 필요하게 된다. 따라서, 행렬응축기법을 사용하여 적절한 요소분할 및 주자유도 선택 기법을 제안하였으며, 대형요소를 사용하여 정확화된 일반적인 건물의 동적해석에 적용하여 입력 데이터의 작성을 간단히 하고 동적해석을 빠르고 신뢰할 만한 결과를 얻을 수 있는 기법에 대하여 연구하였다.

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여러 단면형상을 갖는 뼈대구조물의 최적설계 (Optimal Design of Frame Structures with Different Cross-Sectional Shapes)

  • 한상훈;이웅종
    • 대한토목학회논문집
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    • 제13권4호
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    • pp.27-37
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    • 1993
  • 응력 및 변위제약 하에 뼈대구조물의 초소중량설계를 얻기 위한 효율적인 방법을 제안한다. 주문제작이 빈번히 이루어지는 공학설계의 응용을 위해 다음의 5가지 단면형상을 고려하였다.(rectangular형, frame형, tube형, channel형 그리고 I형). 최적화 과정의 효율성을 증진시키기 위해 구조응답량(절점력, 변위)을 단면성질에 대해 1차 Taylor급수 전개했고 반면에 단면치수를 설계변수로 고려하였다. 제안된 방법의 효율성과 신뢰성을 보이기 위해 수치예를 통해 다른 방법에 의한 결과와 비교하였다. 그 결과 구조해석의 수를 크게 감소시킬 수 있었으며 뼈대구조물의 최적화에 매우 효율적으로 적용될 수 있음을 알게 되었다.

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유한 요소법에 의한 콘크리트 포장 구조의 평면 거동연구 (Finite Element Analysis of Planar Effect on the Concrete Pavements)

  • 조병완
    • 대한토목학회논문집
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    • 제14권5호
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    • pp.1091-1096
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    • 1994
  • 콘크리트 포장구조에 있어서 온도팽창과 건조수축으로 인한 평면 변위 거동은 차량 하중에 관계없이, 포장슬래브와 노반과의 마찰에 의한 줄눈의 개폐에 주로 기인하고 있다. 따라서 콘크리트 포장구조의 평면 변위 거동을 해석하기 위하여 한 절점에서 dx, dy, 2 자유도를 갖는 직사각형 평면요소의 강성행열과 마찰, 건조수축, 온도 등으로 인한 등가절점 하중을 유도하였다. 콘크리트의 건조수축으로 인한 포장슬래브의 구조해석결과, 슬래브 길이가 길거나 지반과의 마찰계수가 큰 경우를 제외하고는, 큰 응력은 발생하지 않았지만, 차량하중과 조합할때는 인장응력의 증가와 함께 포장 슬래브에 균열이 발생할 수 있음을 보여주고 있다.

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자동차 범퍼의 누적 충격 평가 (Numerical Modeling for Cumulative Impact of Automotive Bumper)

  • 김헌영;최종길;김정민;이강욱;여태정
    • 한국자동차공학회논문집
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    • 제15권3호
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    • pp.29-34
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    • 2007
  • Numerical analyses are carried out to evaluate the cumulative impact damage of an automotive front end bumper under the low speed crash events(CMVSS215) by using explicit code. Results of first impact simulation, which are deformed shape, thickness, stress tensors and strain tensors, are used as the initial conditions for a next impact simulation. Between the events, the residual vibration is damped out by using nodal damping, and then recovery after each event is evaluated by several methods, one of which is a springback analysis with implicite finite element analysis code. The coupled analysis scheme for the evaluation of cumulative impact damage is verified through the comparison with test results.

Fault Plane Solutions of the Recent Earthquakes in the Northern Part of the Korean Peninsula

  • Lee, Min Jeong;Kyung, Jai Bok;Chi, Heon Cheol
    • 한국지구과학회지
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    • 제35권5호
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    • pp.354-361
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    • 2014
  • Fault plane solutions in North Korea and the northern part of the Yellow Sea ($37.5^{\circ}N-40.5^{\circ}N$, $124.5^{\circ}E-128.5^{\circ}E$) was studied for the earthquakes that occurred from November, 2008 to May, 2013. The analysis was based on the data collected from seismic networks in Korea and China. Fault plane solutions were obtained from P and SH wave polarities and SH/P amplitude ratioes. Most earthquakes exhibited predominantly strike-slip fault characteristics with NNE-SSW or WNW-ESE nodal planes. The P-axes trends are mainly NE-SW or ENE-WSW direction in the northern part of the Yellow Sea and inland area of North Korea except some areas in the Hwanghae province. Fault plane solutions and main axis of stress field in the study region were similar to those observed in the southern part of the Korean Peninsula.