• Title/Summary/Keyword: 기하학적 구속

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절삭가공 해석을 위한 유한요소법의 적용

  • 김국원;안태길;이우영
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.10a
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    • pp.81-81
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    • 2003
  • 최근 유한요소법을 이용하여 절삭가공을 해석하는 연구가 많이 발표되고 있다. 이 때 가장 문제되는 점이 피삭재에서 칩으로 분리하는 조건이다. 일반적으로 칩 분리 조건이라 일컬어지는 이 조건을 어떻게 설정할 것인가에 대해 현재까지도 많은 연구가 이루어지고 있다. 현재까지 제시된 칩 분리 판별 조건은 두 가지 유형 - 기하학적, 물리적으로 나눌 수 있다. 기하학적 칩 분리 조건은 공구 끝단과 바로 앞 요소의 거리를 기준으로 정해진 특정한 값에 도달하면 요소가 분리되는 혹은 없어지는 방법을 이용하는 것이며(Fig. 1 참조), 물리적 칩 분리 조건은 요소 내의 소성변형률 혹은 변형률 에너지 밀도함수 등의 값을 기준으로 분리시키는 방법이다. 본 연구에서는 상용 유한요소 해석 프로그램인 ANSYS를 이용하였으며 이 프로그램에서 제공하는 element birth/kill 기법을 이용하여 기하학적 판별조건에 도달하면 공구 끝단 앞의 요소가 사라지는 방법을 취하였다. Fig. 2는 절삭가공을 위한 유한요소 모델링을 나타낸다. 칩-공구 접촉 부위에 접촉요소를 사용하였으며, 피삭재의 왼쪽과 아래쪽 부위는 각각 변위구속을 하였다. 공구의 이동은 변위경계조건의 값을 변화시킴으로써 구현하였다. 절삭력을 비교함으로써 해석결과의 타당성을 검토하였으며, 피삭재 내의 응력, 변형률 분포 등을 살펴보았다.

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A Gemetric Kinematic Analysis of Constrained Multibody System (구속된 다물체 시스템을 위한 기하학적 운동구속론)

  • 김재용;배대성;한창수;이상호
    • Transactions of the Korean Society of Automotive Engineers
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    • v.2 no.4
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    • pp.80-90
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    • 1994
  • Basic constraint equations derived from orthogonality conditions between a pair of body-fixed vectors and a body-fixed vector or a vector between two bodies are reformulated by using relative coordinate kinematics between two adjacent reference frames. Arithmetic numbers of operations required to compute derivatives of the constraint equations are drastically reduced. A mixed formulation of relative and cartesian coordinates is developed to further simplify derivatives of the constraints. Advantages and disadvantages of the new formulation are discussed. Possible singularity problem of para llelism constraints is resolved by introducing an extra generalized coordinate. Kinematic analysis of a McPherson strut suspension system are carried out to illustrate use and efficiency of the new formulation.

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Numerical Investigation of Geometrical Design Variables for Improvement of Aerodynamic Performance of Supersonic Impulse Turbine (초음속 충동형 터빈익형의 공력성능 향상을 위한 기하학적 설계변수 수치연구)

  • Lee,Eun-Seok;Kim,Jin-Han;Jo,Gwang-Rae
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.8
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    • pp.99-106
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    • 2003
  • Geometrical design variables are numerically investigated to improve aerodynamic performance of the supersonic impulse turbine of a turbopump in a liquid rocket engine. Aerodynamic redesign was performed for maximization of the blade power. Four design variables considered are blade angle, blade thickness and radii of upper and lower arc blade with appropriate constraints. A fast Navier-Stokes solver was developed and Chien's k-$\varepsilon$ turbulence modelling was used for turbulence closure. In initial shape, a flow separation was found in the middle of blade chord. However, it disappeared in final shape via its geometrical design variable change. About 3.2 percent of blade power was increased from this research.

Analysis of Shell Using the Spline Finite Strip with Drilling DOF (면내 회전을 갖는 SPLINE 유한대판 요소에 의한 쉘의 해석)

  • 최창근;홍현석
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.2
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    • pp.185-199
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    • 1999
  • 본 연구에서는 새로운 spline 유한대판 요소를 제안하였다. 제안된 정식화는 등매개 개념에 의해 기하학적 형상과 변위장을 가정함에 있어 길이방향은 3차의 B-spline 곡선으로, 횡방향에 대해서는 Lagrange 다항식에 의해 표현된다. 이 논문은 평판과 쉘해석에 있어서의 등매개 spline 유한대판 요소의 개선에 목적을 두고 있다. 이 새로운 요소는 스트립의 내부 절점에서 6개의 자유도를 갖는 합-응력 감절점 쉘 요소로부터 유도하였다. 스트립의 기하학적 형상은 강체 회전에 대한 정의에 위배되지 않고도 두께 방향을 따라 Jacobian이 일정하다는 가정을 따랐으며 고체역학에서 정의되는 면내 회전을 penalty 함수에 의한 구속조건으로 간주하여 면내 회전에 관계된 자유도를 생성하였다. 제안된 요소에 대하여 쉘의 전형적인 문제에 대한 수치예제를 보였으며 이 스트립 요소의 성능을 평가하였다.

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A study on the characteristic analysis of superposed leaf springs with geometric and material nonlinearities (기하학적. 재료적 비선형성을 갖는 중첩된 판 스프링의 특성해석에 관한 연구)

  • 김형구;임정식;김일곤;손동성
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.1
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    • pp.13-22
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    • 1990
  • A general analysis method is proposed for analysis of the superposed structures with geometric and material nonlinearities. It is presumed that no friction occurs between structures. It utilizes a shell element for the geometric and material nonlinearities and imposes various deformation constraints for the contact and interaction between structures. To show the reliability and effectiveness of this method, superposed cantilevers for which exact solutions can be obtained and holddown spring assemblies which are now used in PWR reactors are chosen as analysis models. The results of analyses were compared with exact solution in the case of cantilevers and with test results in the case of holddown spring assemblies. The analysis results obtained by this method showed good agreement with the reference values.

Analysis of Drainage Structure Based on the Geometric Characteristics of Drainage Density and Source-Basin (배수밀도와 수원유역의 기하학적 특성을 기반으로 한 배수구조에 대한 해석)

  • Kim, Joo-Cheol;Kim, Jae-Han
    • Journal of Korea Water Resources Association
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    • v.40 no.5
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    • pp.373-382
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    • 2007
  • The exact resolution of channel initiation points is not so easy because of the dynamic behaviors of water movement on the hillslope. To this end, Kim, Joocheol and Kim, Jaehan(2007) have represented the channel network in real world basins for slope-area regimes using DEM. This study is its sequential content and then proposes the reliabilities of the hypothetical channel networks identified from DEM, which are assessed based on the geometric characteristics of drainage density and source-basin. The resulting drainage structures on the natural basin can be found to be depicted remarkably depending on the hypothetical channel network applied by slop-area threshold criterion. In addition, it is shown that there is a wonderful geometric similarity between the shapes of source- basin in a geomorphologically homogeneous region. Area threshold criterion could have restricted the shape of source-basin, so that it might bring about the incorrect drainage structures. But the hypothetical channel networks identified from DEM deserves special emphasis on expressing the space-filling structures nonetheless.

Antagonistic Stiffness Characteristics in Robotic Linkage Systems (로보틱 시스템에 존재하는 antagonistic stiffness 특성)

  • Yi, Byung-Ju;Song, Sang-Kee;Cho, Whang
    • The Journal of the Acoustical Society of Korea
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    • v.10 no.6
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    • pp.23-42
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    • 1991
  • 본 논문은 시스템 운동학적 자유보다도 많은 수의 input을 사용하여 비선형 구속조건을 갖는 메 카니즘의 정역학적 평형을 유지시키는 경우와 같이 일반 로봇 시스템의 협력 작업시 일어나는 antagonistic stiffness를 연구하였다. 이러한 antagonistic 상황은 coordinations of multiple manipulators, multi-fingered end-efector, walking machine, 그리고 인간의 움직임등을 포함하는 많은 로봇 시스템의 작동시에 일어난다. Antagonism으로 야기되는 stiffness는 이러한 시스템의 특성을 파악하는 좋은 척도 가 될 수 있다. Antagonistic stiffness의 개념은 시스템을 구성하는 강체들의 상대 변위의 함수로 얻어 지기 때문에 바강체들이 변형하는 특성을 나타내는 structural stiffness와는 구별된다. 따라서 이 개념은 여유입력들에 의해 얻어지는 시스템의 effective stiffness로 해석될 수 있고, 일반 로봇 mechanism의 개 경로 안정도의 척도로 이용될 수 있으며 목적에 따라서 stiffness의 제어가 가능한 비선형 spring을 만 드는 데에도 응용이 가능하다. 본 논문에서는 antagonism이 일어나는 몇가지 상황에서의 stiffness 특성 과 개경로 안정성 조건등을 해석적, 기하학적 관점에서 다루었다.

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Investigation into Crack-Tip Constraint of Curved Wide-Plate using Q-Stress (Q-응력을 이용한 휜 광폭평판 균열부 구속상태 변화 평가)

  • Lee, Hwee-Sueng;Huh, Nam-Su;Kim, Ki-Seok;Shim, Sang-Hoon;Cho, Woo-Yeon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.12
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    • pp.1441-1446
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    • 2014
  • In the present paper, the effects of the thickness and width of a curved wide-plate, the crack length, and the strain hardening exponent on the crack-tip constraint of the curved wide-plate were investigated. To accomplish this, detailed three-dimensional elastic-plastic finite element (FE) analyses were performed considering various geometric and material variables. The material was characterized by the Ramberg-Osgood relationship, and the Q-stress was employed as a crack-tip constraint parameter. Based on the present FE results, the variations in the Q-stress of the curved wide-plate with the geometric variables and material properties were evaluated. This revealed that the effect of out-of-plane constraint conditions on the crack-tip constraint was closely related to the in-plane constraint conditions, and out-of-plane constraint conditions affected the crack-tip constraint more than in-plane constraint conditions.

Dynamic Response of a Beam Including the Mass Effect of the Moving Loads (이동 하중의 질량효과를 고려한 보의 동적응답)

  • 최교준;김용철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.61-68
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    • 1991
  • The system such as railway bridge can be modelled as the restrained beam with intermediate supports. This kind of structures are subject to the moving load, which has a great effect on dynamic stresses and can cause sever motions, especially at high velocities. Therefore, to analyze the dynamic characteristics of the system due to the moving load is very important. In this paper, the governing equation of motion of a restrained beam subjected to the moving load is derived by using the Hamilton's principle. The orthogonal polynomial functions, which are trial functions and satisfying the geometric and dynamic boundary conditions, are obtained through simple procedure. The dynamic response of the system subjected to the moving loads is obtained by using the Galerkin's method and the numerical time integration technique. The numerical tests for various constraint, velocity and boundary conditions were preformed. Furthermore, the effects of mass of the moving load are studied in detail.

Inverse kinematics of a Reclaimer: Redundancy and a Closed- Form Solution by Exploiting Geometric Constraints (원료불출기의 역기구학: 여유자유도와 구속조건을 이용한 닫힌 형태의 해)

  • Hong, K.S.;Kim, Y.M.;Shin, K.T.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.7
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    • pp.144-153
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    • 1997
  • The inverse kinematics problem of a reclaimer which excavates and transports raw materials in a raw yard is investigated. Because of the geometric feature of the equipment in which scooping buckets are attached around the rotating disk, kinematic redundancy occurs in determining joint variable. Link coordinates are introduced following the Denavit-Hartenbery representation. For a given excavation point the forward kinematics yields 3 equations, however the number of involved joint variables in the equations is four. It is shown that the rotating disk at the end of the boom provides an extra passive degree of freedom. Two approaches are investigated in obtaining inverse kinematics solutions. The first method pre-assigns the height of excavation point which can be determined through path planning. A closed form solution is obtained for the first approach. The second method exploits the orthogonality between the normal vector at the excavation point and the z axis of the end-effector coordinate system. The geometry near the reclaiming point has been approximated as a plane, and the plane equation has been obtained by the least square method considering 8 adjacent points near the point. A closed form solution is not found for the second approach, however a linear approximate solution is provided.

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