• 제목/요약/키워드: Newton methods

검색결과 252건 처리시간 0.025초

실시간 헬리콥터 시뮬레이션을 위한 회전 깃의 역학적 모델 (A Dynamics Model of Rotor Blades for Real-time Simulation of Helicopters)

  • 박수완;유관우;김은주;백낙훈
    • 정보처리학회논문지A
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    • 제14A권5호
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    • pp.255-262
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    • 2007
  • 물리 기반의 헬리콥터 시뮬레이션은 항공학, 항공역학 등의 분야에서 많이 연구되어 오고 있으나, 복잡한 수식, 많은 계산량 등으로 인해 사실성과 속도를 동시에 추구하는 컴퓨터 그래픽스 분야에는 적용하기 어려웠다. 본 논문에서는 컴퓨터 그래픽스 분야에 적용할 수 있도록 구현하기 쉽고, 실시간 헬리콥터 시뮬레이션을 가능하게 하는 헬리콥터 회전 깃(rotor blades)의 역학적 모델을 제안한다. 헬리콥터는 회전 깃과 공기의 충돌로 발생한 힘을 통해 운동하는데, 이는 유체와 강체가 충돌해서 발생하는 충돌력으로 설명할 수 있다. 이를 근거로 근사화한 회전 깃의 역학적 모델을 도입하면, 기존의 강체 시뮬레이션 방법으로 유체와 강체가 충돌하는 헬리콥터의 움직임을 실시간 시뮬레이션 할 수 있다. 본 논문에서는 실시간 계산이 가능하도록 뉴턴의 양력 계산법을 응용하여 회전 깃의 움직임으로 발생하는 힘을 구한다. 본 논문이 제안하는 방법에 따라 구현된 프로토타입 시스템은 실제와 유사한 헬리콥터 시뮬레이션을 실시간에 처리할 수 있음을 보였다.

애니메이션 속도에 무관한 충돌 탐지 알고리즘 (An Animation Speed-independent Collision Detection Algorithm)

  • 김형석
    • 한국정보과학회논문지:시스템및이론
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    • 제31권3_4호
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    • pp.247-256
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    • 2004
  • 본 논문에서는 애니메이션 속도에 무관한 충돌 탐지 알고리즘을 제안한다. 현재까지 개발된 대부분의 충들 탐지 알고리즘들은 점진적(incremental) 알고리즘들로서, 현 시점에서의 가까운 점(근점)을 찾기 위하여 이전 시점의 근점 주위를 먼저 찾는다. 그런데 만일 움직이는 물체가 충돌 반응에 의해서 큰 토크를 받게 된다면 회전 속도가 증가하게 되어, 다음 시점에서의 실제 근점은 현 시점에서의 근점과는 매우 동떨어져 있어 엉뚱한 위치에서 근점을 찾게 되는 단점을 가진다. 그러므로, 최악의 경우에는 각 시점에서 $O(n^2)$, 시간이 소요될 수 있다. 또한 애니메이션 속도에 따라 이러한 점진적 계산 회수가 변하게 되어 전체적인 알고리즘의 소요 시간이 변하게 되는 단점을 가지고 있다. 본 논문에서는 이러한 문제점을 근본적으로 해결하고자 새로운 방법을 제안하고자 한다. 먼저, 기하학 특성을 내포하는 구면 근점 다이아그램을 생성하고, 이를 이용하여 두 물체간의 단일 거리 함수를 생성한다. 충돌 시점을 효율적으로 찾기 위해서 구간 뉴튼 방법을 거리함수에 적용한다.

품질 향상에 적용되는 전산 실험의 계획과 분석 (Design and Analysis of Computer Experiments with An Application to Quality Improvement)

  • Jung Wook Sim;Jeong Soo Park;Jong Sung Bae
    • 응용통계연구
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    • 제7권1호
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    • pp.83-102
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    • 1994
  • 컴퓨터 시뮬레이션 실험을 이용한 제반 연구의 효율성을 높이기 위한 통계적 실험 계획법으로서 최적 실험법과 라틴 하이퍼큐브 계획법에 대하여 연구하여 최적 라틴 하이퍼큐브 계획법을 제시하였다. 또한 전산 실험 자료의 분석을 위하여, 공간적 예측모형을 택하여 자료로부터의 모수추정과 이 모형에 적합한 예측방법 및 최적 실험 계획법 등이 고려되었다. 최적 라틴 하이퍼큐브 실험계획법을 구성하기 위한 2단계 (2점 교환법 및 뉴톤방법) 알고리즘과 그것에 의한 결과를 제시하였고, 나아가 축차적(최적) 라틴 하이퍼큐브 계획법의 구축을 위한 한 방법을 제시하였다. 이와같은 접근법은 주요인 그림과 축차적인 계획 및 분석을 이용하여 집적회로 계획의 최적화 문제로 응용되어 결국 품질향상에 도움이 되도록 하는 실예를 통하여 그 실제적 적용성이 예증되었다.

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Fracture load and survival of anatomically representative monolithic lithium disilicate crowns with reduced tooth preparation and ceramic thickness

  • Nawafleh, Noor A;Hatamleh, Muhanad M;Ochsner, Andreas;Mack, Florian
    • The Journal of Advanced Prosthodontics
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    • 제9권6호
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    • pp.416-422
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    • 2017
  • PURPOSE. To investigate the effect of reducing tooth preparation and ceramic thickness on fracture resistance of lithium disilicate crowns. MATERIALS AND METHODS. Specimen preparation included a standard complete crown preparation of a typodont mandibular left first molar with an occlusal reduction of 2 mm, proximal/axial wall reduction of 1.5 mm, and 1.0 mm deep chamfer (Group A). Another typodont mandibular first molar was prepared with less tooth reduction: 1 mm occlusal and proximal/axial wall reduction and 0.8 mm chamfer (Group B). Twenty crowns were milled from each preparation corresponding to control group (n=5) and conditioned group of simultaneous thermal and mechanical loading in aqueous environment (n=15). All crowns were then loaded until fracture to determine the fracture load. RESULTS. The mean (SD) fracture load values (in Newton) for Group A were 2340 (83) and 2149 (649), and for Group B, 1752 (134) and 1054 (249) without and with fatigue, respectively. Reducing tooth preparation thickness significantly decreased fracture load of the crowns at baseline and after fatigue application. After fatigue, the mean fracture load statistically significantly decreased (P<.001) in Group B; however, it was not affected (P>.05) in Group A. CONCLUSION. Reducing the amount of tooth preparation by 0.5 mm on the occlusal and proximal/axial wall with a 0.8 mm chamfer significantly reduced fracture load of the restoration. Tooth reduction required for lithium disilicate crowns is a crucial factor for a long-term successful application of this all-ceramic system.

공간시계열 모형의 칼만필터 추정과 예측 (Kalman-Filter Estimation and Prediction for a Spatial Time Series Model)

  • 이성덕;한은희;김덕기
    • Communications for Statistical Applications and Methods
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    • 제18권1호
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    • pp.79-87
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    • 2011
  • 공간적, 시간적으로 퍼져나가는 전염성이 강한 질병인 수두자료를 이용하여 공간 시계열 자료를 분석하는데 있어 일반적으로 알려진 ARIMA 모형에 적합하여 분석을 행하면 공간적인 정보를 반영하지 못하기 때문에 기존에 시간만을 고려한 시계열 분석방법에 공간통계의 공간적 정보를 반영한 공간시계열 모형을 고려한다. 공간시계열 모형에서 공간의 위치 및 영향은 시계열 모형에 공간적 정보로써 가중치행렬을 더 함으로써 처리 가능해진다. 가중치행렬은 지리적으로 인접한 지역일수록 공간의존도가 높다는 것을 반영한 것이며 공간시계열 모형의 연구에서 가중치행렬은 인접한 지역들은 동일한 영향을 줄 것이라 가정하였다. 따라서 본 논문에서는 공간시계열 모형인 STARMA 모형과 STBL 모형에 대한 식별방법, 통계적 추론 및 예측력 비교에 대해 연구하였고 특히, 모수추정의 알고리즘 비교와 공간시계열 모형의 예측력 비교를 통해 Kalman-Filter 방법의 우수성을 보이고자 한다.

Pressure loading, end- shortening and through- thickness shearing effects on geometrically nonlinear response of composite laminated plates using higher order finite strip method

  • Sherafat, Mohammad H.;Ghannadpour, Seyyed Amir M.;Ovesy, Hamid R.
    • Structural Engineering and Mechanics
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    • 제45권5호
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    • pp.677-691
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    • 2013
  • A semi-analytical finite strip method is developed for analyzing the post-buckling behavior of rectangular composite laminated plates of arbitrary lay-up subjected to progressive end-shortening in their plane and to normal pressure loading. In this method, all the displacements are postulated by the appropriate harmonic shape functions in the longitudinal direction and polynomial interpolation functions in the transverse direction. Thin or thick plates are assumed and correspondingly the Classical Plate Theory (CPT) or Higher Order Plate Theory (HOPT) is applied. The in-plane transverse deflection is allowed at the loaded ends of the plate, whilst the same deflection at the unloaded edges is either allowed to occur or completely restrained. Geometric non-linearity is introduced in the strain-displacement equations in the manner of the von-Karman assumptions. The formulations of the finite strip methods are based on the concept of the principle of the minimum potential energy. The Newton-Raphson method is used to solve the non-linear equilibrium equations. A number of applications involving isotropic plates, symmetric and unsymmetric cross-ply laminates are described to investigate the through-thickness shearing effects as well as the effect of pressure loading, end-shortening and boundary conditions. The study of the results has revealed that the response of the composite laminated plates is particularly influenced by the application of the Higher Order Plate Theory (HOPT) and normal pressure loading. In the relatively thick plates, the HOPT results have more accuracy than CPT.

현미 조질에 관한 연구 (I) -조질 후 현미의 물성 변화와 예측모델- (Study on the Conditioning of Brown Rice (I) -Property variation and predicted model of brown rice after Conditioning-)

  • 한충수;연광석;강태환;전홍영;고학균
    • Journal of Biosystems Engineering
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    • 제26권1호
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    • pp.39-46
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    • 2001
  • This research conducted to investigate the variation of the moisture content, crack ratio, and hardness of the whole and cracked brown rice after conditioning at the initial moisture content of 13, 14, and 15% with time lapse. The conditioning was conducted by increasing the moisture content of the sample to 0.4 and 0.8%. For basic information and conditioning characteristics for the development of a conditioning machine for the brown rice, predicted models of above three properties were developed using a nonlinear regression analysis of SAS with Gauss-Newton, Gradient, and DUD methods. Results of this research could be summarized as follows. 1. No moisture variation occurred after 0.5 hour conditioning. 2. The increasement of the crack ratio was 7.6 and 17.5% with the sample increased the moisture content of 0.4 and 0.8%, respectively, after 8 hours conditioning. 3. The hardness of the conditioned whole grain of the brown rice decreased 0.82 and 1,000kg$\_$f/ with the sample increased moisture content 0.4 and 0.8%, respectively, after 8 hours conditioning with respect to the non-conditioned sample. 4. The hardness of the conditioned cracked grain of the brown rice decreased 0.54 and 0.81kg$\_$f/ with the sample increased moisture content 0.4 and 0.8%, respectively, after 8 hours conditioning with respect to the non-conditioned sample. The hardness of the broken grain was about 0.81∼1.88kg$\_$f/ lower than whole grain. 5. The moisture content variation, increasing rate of the crack ratio, and hardness of the cracked and whole grain was predicted as a negative exponential function. 6. Each predicted model with the nonlinear regression analysis, which was very accurate and had a very small amount of sum of square of error between experimental value and predicted value, which could be used for predicting the physical variation after conditioning.

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Influence of preparation design on fracture resistance of different monolithic zirconia crowns: A comparative study

  • Findakly, Meelad Basil;Jasim, Haider Hasan
    • The Journal of Advanced Prosthodontics
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    • 제11권6호
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    • pp.324-330
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    • 2019
  • PURPOSE. The aim of the study was to evaluate and compare the fracture resistance and modes of fracture of monolithic zirconia crowns with two preparation designs. MATERIALS AND METHODS. Forty human maxillary first premolar teeth were extracted for orthodontic purposes and divided into two main groups (n=20): Group A: monolithic traditional zirconia; Group B: monolithic translucent zirconia. The groups were further subdivided into two subgroups (n=10): (A1, B1) shoulder margin design; (A2, B2) feather-edge margin design. Teeth were prepared with either a 1 mm shoulder margin design or a feather-edge margin design. The prepared teeth were scanned using a digital intraoral scanner. The crowns were cemented using self-adhesive resin cement. All cemented teeth were stored in water for 7 days and thermocycling was done before testing. All samples were subjected to compressive axial loading until fracture. The fractographic analysis was done to assess the modes of fracture of the tested samples. RESULTS. The highest mean values of fracture resistance were recorded in kilo-newton and were in the order of subgroup A1 (2.903); subgroup A2 (2.3); subgroup B1 (1.854) and subgroup B2 (1.523). One-way ANOVA showed a statistically significant difference among the 4 subgroups. Concerning modes of fracture, the majority of samples in subgroups A1 and B1 were fracture of restoration and/or tooth, while in subgroups A2 and B2, the majority of samples fractured through the central fossa. CONCLUSION. Even though all the tested crowns fractured at a higher level than the maximum occlusal forces, the shoulder margin design was better than the feather-edge margin design and the monolithic traditional zirconia was better than the monolithic translucent zirconia in terms of fracture strength.

분할최적화 기법에 의한 트러스 구조물의 형상최적화에 관한 연구 (A Study on the Geometric Optimization of Truss Structures by Decomposition Method)

  • 김성완;이규원
    • 한국농공학회지
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    • 제29권4호
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    • pp.73-92
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    • 1987
  • Formulation of the geometric optimization for truss structures based on the elasticity theory turn out to be the nonlinear programming problem which has to deal with the cross-sectional area of the member and the coordinates of its nodes simultaneously. A few techniques have been proposed and adopted for the analysis of this nonlinear programming problem for the time being. These techniques, however, bear some limitations on truss shapes, loading conditions and design criteria for the practical application to real structures. A generalized algorithm for the geometric optimization of the truss structures, which can eliminate the above mentioned limitations, is developed in this study. The algorithm proposed utilizes the two-levels technique. In the first level which consists of two phases, the cross-sectional area of the truss member is optimized by transforming the nonlinear problem into SUMT, and solving SUMT utilizing the modified Newton Raphson method. In the second level, which also consists of two phases the geometric shape is optimized utillzing the unindirectional search technique of the Powell method which make it possible to minimize only the objective functlon. The algorithm proposed in this study is numerically tested for several truss structures with various shapes, loading conditions and design criteria, and compared with the results of the other algorithms to examine its applicability and stability. The numerical comparisons show that the two- levels algorithm proposed in this study is safely applicable to any design criteria, and the convergency rate is relatively fast and stable compared with other iteration methods for the geometric optimization of truss structures. It was found for the result of the shape optimization in this study to be decreased greatly in the weight of truss structures in comparison with the shape optimization of the truss utilizing the algorithm proposed with the other area optimum method.

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The effect of resin cements and primer on retentive force of zirconia copings bonded to zirconia abutments with insufficient retention

  • Kim, Seung-Mi;Yoon, Ji-Young;Lee, Myung-Hyun;Oh, Nam-Sik
    • The Journal of Advanced Prosthodontics
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    • 제5권2호
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    • pp.198-203
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    • 2013
  • PURPOSE. The purpose of this study was to investigate the effect of resin cements and primer on the retentive force of zirconia copings bonded to zirconia abutments with insufficient retention. MATERIALS AND METHODS. Zirconia blocks (Lava, 3M ESPE, St. Paul, MN, USA) were obtained and forty sets of zirconia abutments and copings were fabricated using CAD/CAM technology. They were grouped into 4 categories as follows, depending on the types of resin cements used, and whether the primer is applied or not:Panavia F2.0 (P), Panavia F2.0 using Primer (PRIME Plus, Bisco Inc, Schaumburg, IL, USA) (PZ), Superbond C&B (S), and Superbond C&B using Primer (SZ). For each of the groups, the cementation was conducted. The specimens were kept in sterilized water ($37^{\circ}C$) for 24 hours. Retentive forces were tested and measured, and a statistical analysis was carried out. The nature of failure was recorded. RESULTS. The means and standard deviations of retentive force in Newton for each group were $265.15{\pm}35.04$ N (P), $318.21{\pm}22.24$ N (PZ), $445.13{\pm}78.54$ N (S) and $508.21{\pm}79.48$ N (SZ). Superbond C&B groups (S & SZ) showed significantly higher retentive force than Panavia F2.0 groups (P & PZ). In Panavia F2.0 groups, the use of primer was found to contribute to the increase of retentive force. On the other hand, in Superbond C&B groups, the use of primer did not influence the retention forces. Adhesive failure was observed in all groups. CONCLUSION. This study suggests that cementation of the zirconia abutments and zirconia copings with Superbond C&B have a higher retentive force than Panavia F2.0. When using Panavia F2.0, the use of primer increases the retentive force.