• 제목/요약/키워드: Point to Mesh

검색결과 361건 처리시간 0.028초

PERFORMANCE OF RICHARDSON EXTRAPOLATION ON SOME NUMERICAL METHODS FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM WHOSE SOLUTION HAS BOUNDARY LAYERS

  • Munyakazi, Justin B.;Patidar, Kailash C.
    • 대한수학회지
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    • 제51권4호
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    • pp.679-702
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    • 2014
  • Investigation of the numerical solution of singularly perturbed turning point problems dates back to late 1970s. However, due to the presence of layers, not many high order schemes could be developed to solve such problems. On the other hand, one could think of applying the convergence acceleration technique to improve the performance of existing numerical methods. However, that itself posed some challenges. To this end, we design and analyze a novel fitted operator finite difference method (FOFDM) to solve this type of problems. Then we develop a fitted mesh finite difference method (FMFDM). Our detailed convergence analysis shows that this FMFDM is robust with respect to the singular perturbation parameter. Then we investigate the effect of Richardson extrapolation on both of these methods. We observe that, the accuracy is improved in both cases whereas the rate of convergence depends on the particular scheme being used.

변동물림강성/감쇠와 마찰을 고려한 기어구동계의 동특성 해석 (Dynamic Analysis of a Gear Driving System with Time-varying Mesh Stiffness/Damping and Friction)

  • 김우형;정태일;정진태
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.224-231
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    • 2006
  • A six-degree-of-freedom dynamic model with time-varying mesh stiffness/damping and friction has been developed for the dynamic analysis of a gear driving system. This model includes a spur gear pair, bearing, friction and prime mover. Using Newton???s method, equations of motion for the gear driving system were derived. Two computer programs are developed to calculate mesh stiffness, transmission error and friction force and analyze the dynamics of the modeled system using a time integration method. The influences of mesh stiffness/damping, bearing, and friction affecting the system were investigated by performing eigenvalue analysis and time response analysis. It is found that the reduction of the maximum peak magnitude by friction is decided according to designing the positions of pitch point and maximum peak in the responses.

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Variable-node element families for mesh connection and adaptive mesh computation

  • Lim, Jae Hyuk;Sohn, Dongwoo;Im, Seyoung
    • Structural Engineering and Mechanics
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    • 제43권3호
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    • pp.349-370
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    • 2012
  • Variable-node finite element families, termed (4 + k + l + m + n)-node elements with an arbitrary number of nodes (k, l, m, and n) on each of their edges, are developed based on the generic point interpolation with special bases having slope discontinuities in two-dimensional domains. They retain the linear interpolation between any two neighboring nodes, and passes the standard patch test when subdomain-wise $2{\times}2$ Gauss integration is employed. Their shape functions are automatically generated on the master domain of elements although a certain number of nodes are inserted on their edges. The elements can provide a flexibility to resolve nonmatching mesh problems like mesh connection and adaptive mesh refinement. In the case of adaptive mesh refinement problem, so-called "1-irregular node rule" working as a constraint in performing mesh adaptation is relaxed by adopting the variable-node elements. Through several examples, we show the performance of the variable-node finite elements in terms of accuracy and efficiency.

되풀이 소성영역 크기를 이용한 피로 균열 닫힘 거동의 유한요소해석 (Finite Element Analysis for Fatigue Crack Closure Behavior Using Reversed Plastic Zone Size)

  • 최현창
    • 대한기계학회논문집A
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    • 제27권10호
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    • pp.1703-1711
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    • 2003
  • An elastic-plastic finite element analysis is performed to investigate detailed closure behaviour of fatigue cracks in residual stress fields and the numerical results are compared with experimental results. The finite element analysis performed under plane stress using contact elements can predict fatigue crack closure behaviour. The mesh of constant element size along crack surface can not predict the opening level of fatigue crack. Specially, the mesh of element sizes depending upon the reversed plastic zone size included the effect of crack opening point can precisely predict the opening level. By using the concept of the mesh of element sizes depending upon the reversed plastic zone size included the effect of crack opening point, the opening level of fatigue crack can be determined very well.

방진마운트 개발을 위한 와이어 메쉬 탄성계수 추출 (Elastic Modulus Extraction of Wire Mesh for Vibration Mount Development)

  • 김태연;신윤호;문석준;정병창;이태진
    • 한국소음진동공학회논문집
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    • 제26권7호
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    • pp.806-813
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    • 2016
  • To alleviate the vibration problem or to satisfy the required criteria for manifesting the guaranteed performance of precise equipment, various vibration isolation materials or apparatus, such as viscoelastic material, air and coil spring, have been developed and applied. Among them, a wire mesh material is regarded as one of the good candidate for reducing the vibration in terms of moderate material price, easy shape machining and long life cycle without the property deterioration induced by the aging or environmental effects. In this paper, prior to wire mesh isolator design, the static and dynamic elastic modulus of wire mesh materials are extracted from the experiment by the simple shaped cylindrical specimens and their characteristics for applying to vibration isolator design are examined. The simple shaped specimens were made as considering the design parameters of a wire mesh mount; i.e. the density, wire diameter and wire mesh slope, and the sensitivity analysis were also performed from a view point of the extracted elastic modulus.

적응 경계요소법을 이용한 2차원 정자장 해석 (2-D Magnetostatic Field Analysis Using Adaptive Boundary Element Method)

  • 고창섭;전기억;한송엽;정현교
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1990년도 추계학술대회 논문집 학회본부
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    • pp.23-27
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    • 1990
  • Adaptive mesh refinement scheme is incorporated with the Boundary Element Method (BEM) in order to get accurate solution with relatively fewer unknowns for the case of magnetostatic field analysis and A new and simple posteriori local error estimation method is presented. The local error is defined as integration over the element of the difference between solutions acquired us ing second order and first order interpolation function and is used as the criterion for mesh refinement at given grid. Case study for two dimensional problems with singular point reveals that meshes are concentrated on the neighbor of singular point and the error is decreased gradually and the solutions calculated on the domain are converged to the analytic solution as the number of unknowns increases. The adaptive mesh gives much better rate of convergence in global errors than the uniform mesh.

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메쉬 그룹화를 이용한 충돌 검출 알고리즘 (Collision detection algorithm by using mesh grouping)

  • 박종섭;장태정
    • 디지털콘텐츠학회 논문지
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    • 제19권1호
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    • pp.199-204
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    • 2018
  • 본 논문에서는 가상 공간에서 객체와의 상호 작용을 위한 빠른 충돌 감지 방법을 제안하였다. 먼저 메쉬 그룹화 단계에서는, 전체 공간을 일정한 크기의 소공간들로 분할하고, 각각의 소공간에 속하는 메쉬들에 대하여 이들을 모두 포함하는 최소의 기본 입체도형(육면체 혹은 구)의 위치와 크기를 정함으로써 그룹화한다. 충돌 검출 단계에서는, HIP(Haptic Interface Point)가 어떤 그룹을 대표하는 입체도형 내부에 들어 있는지를 검사하여 특정 입체도형과의 충돌이 확인되면 해당 그룹의 메쉬들만을 대상으로 실제 충돌이 일어난 메쉬를 찾는다. 본 논문에서 제안한 방법을 적용한 경우와 적용하지 않은 경우의 연산시간을 측정 및 비교함으로써 제안한 알고리즘의 효용성을 확인하였다.

무게중심과 정점 간의 거리 특성을 이용한 삼각형 메쉬의 정렬 (The Alignment of Triangular Meshes Based on the Distance Feature Between the Centroid and Vertices)

  • 구민정;정상훈;김구진
    • 정보처리학회논문지:소프트웨어 및 데이터공학
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    • 제11권12호
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    • pp.525-530
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    • 2022
  • 두 개의 점군(point cloud)을 정렬(alignment)하기 위해 현재까지 ICP(iterative closest point) 알고리즘이 널리 사용되고 있지만, ICP는 두 점군의 초기 방향이 크게 다를 경우 정렬에 실패하는 경우가 많다. 본 논문에서는 두 개의 삼각형 메쉬 A, B가 서로 크게 다른 초기 방향을 가질 때, 이들을 정렬하는 알고리즘을 제안한다. 메쉬 A, B에 대해 각각 가중치 무게중심(weighted centroid)을 구한 뒤, 무게중심으로부터 정점까지의 거리를 이용하여 메쉬 간에 서로 대응될 가능성이 있는 정점들을 특징점으로 설정한다. 설정된 특징점들이 대응될 수 있도록 메쉬 B를 회전한 뒤, A와 B의 정점들에 대해 RMSD(root mean square deviation)를 측정한다. RMSD가 기준치보다 작은 값을 가질 때까지 특징점을 변경하며 같은 과정을 되풀이하여 정렬된 결과를 얻는다. 실험을 통해 ICP 및 Go-ICP 알고리즘으로 정렬이 실패할 경우에도 제안된 알고리즘으로 정렬이 가능함을 보인다.

유리섬유 보강재로 제작한 레진의치의 온성 전·후에 따른 정확성 평가 (Accuracy evaluation of resin complete denture made with glass fiber mesh reinforcement before and after curing)

  • 김동연;정일도;박진영;강신영;김지환;김웅철
    • 대한치과기공학회지
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    • 제39권1호
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    • pp.25-33
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    • 2017
  • Purpose: The aim of this study was to evaluate accuracy of glass fiber mesh complete denture of before and after curing. Methods: Edentulous model was selected as the master model. Ten study models were made by Type IV stone. Wax complete dentures were produced by the denture base and artificial teeth. CD and GD groups were measured six measurement distance before curing. The wax complete denture was investment after measurement is completed. Using a heat polymerization resin was injected resin. After injecting the resin it was curing. A complete denture was re-measured after curing. The measured data was verified by paired t-test. Results: Overall CD group was larger the value of the measured length. In the CD group, A-D point was larger. The smallest point was the B-D point. However, there was no statistically significant difference only C-D point(p>0.05). In the GD group, A-B point was larger. but B-D point was the smallest. A-D and B-C statistically points showed significant differences(p<0.05). Conclusion: Glass fiber mesh resin complete denture can be clinically applied to the edentulous patient.

Improving Overall WMN Performance in Peak Times Using Load-sharing Aware Gateways

  • Vo, Hung Quoc;Dai, Tran Thanh;Hong, Choong-Seon
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2007년도 춘계학술발표대회
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    • pp.855-857
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    • 2007
  • In recent years, Wireless Mesh Network (WMN) is a compelling topic to many network researchers due to its low cost in deployment, ease and simplicity in installation and scalability and robustness in operation. In WMN, Gateway nodes (Access Point-AP) are in charge of steering the traffic from the external network (e.g. Internet...) to client devices or mesh clients. The limited bandwidth of wireless links between Gateways and intermediate mesh routers makes the Gateways becomes the bottleneck of the mesh network in both uplink stream and downlink stream. In this paper, we propose a mechanism to permit Gateways collaboratively work to manipulate the traffic to fit our network. They will move the traffic from congested links to the unused capacity on other links.