• 제목/요약/키워드: a generalized coordinate

검색결과 96건 처리시간 0.023초

Steady-State Equilibrium Analysis of a Multibody System Driven by Constant Generalized Speeds

  • Park, Dong-Hwan;Park, Jung-Hun;Yoo, Hong-Hee
    • Journal of Mechanical Science and Technology
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    • 제16권10호
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    • pp.1239-1245
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    • 2002
  • A formulation which seeks steady-state equilibrium positions of constrained multibody systems driven by constant generalized speeds is presented in this paper. Since the relative coordinates are employed, constraint equations at cut joints are incorporated into the formulation. To obtain the steady-state equilibrium position of a multibody system, nonlinear equations are derived and solved iteratively. The nonlinear equations consist of the force equilibrium equations and the kinematic constraint equations. To verify the effectiveness of the proposed formulation, two numerical examples are solved and the results are compared with those of a commercial program.

다물체의 기구해석 및 동적거동해석을 위한 오일러 매개변수의 교정방법 (An Euler Parameter Updating Method for Multibody Kinematics and Dynamics)

  • 김성주;배대성;최창곤;양성모
    • 한국자동차공학회논문집
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    • 제4권4호
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    • pp.9-17
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    • 1996
  • This paper develops a sequential updating method of the Euler parameter generalized coordinates for the machine kinematics and dynamics, The Newton's method is slightly modified so as to utilize the Jacobian matrix with respect to the virtual rotation instead of this with repect to the Euler parameters. An intermediate variable is introduced and the modified Newton's method solves for the variable first. Relational equation of the intermediate variable is then solved for the Euler parameters. The solution process is carried out efficiently by symoblic inversion of the relational equation of the intermediate variable and the iteration equation of the Euler parameter normalization constraint. The proposed method is applied to a kinematic and dynamic analysis with the Generalized Coordinate Partitioning method. Covergence analysis is performed to guarantee the local convergence of the proposed method. To demonstrate the validity and practicalism of the proposed method, kinematic analysis of a motion base system and dynamic analysis of a vehicle are carried out.

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일반 곡면 좌표계에서 구현된 아이소-지오메트릭 형상 설계민감도 해석 (Isogeometric Shape Sensitivity Analysis in Generalized Curvilinear Coordinate Systems)

  • 하윤도;윤민호;조선호
    • 한국전산구조공학회논문집
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    • 제25권6호
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    • pp.497-504
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    • 2012
  • 유한요소 해석법에서는 CAD 모델을 유한요소 모델로 이산화하기 때문에 CAD와 해석 모델의 차이로 인해 형상 설계민감도 및 최적설계에서 설계영역 매개 변수화에 어려움이 있다. 반면에 아이소-지오메트릭 해석법은 CAD 모델과 동일한 NURBS 기저함수와 조정점을 해석에 이용함으로써 설계의 기하학적 변화를 해석모델에 직접적으로 표현할 수 있기 때문에 전술된 여러 어려움들을 개선할 수 있다. 본 연구에서는 일반 곡면 좌표계에서 아이소-지오메트릭 해석 모델을 정식화하여 곡면 부재에 대한 구조해석과 형상 설계민감도 해석을 수행하였다. 아이소-지오메트릭 해석에서는 법선, 접선, 곡률 등과 같은 고차의 기하학적 정보들이 엄밀하게 표현될 수 있기 때문에 주어진 CAD 모델에 적합한 일반 곡면 좌표계를 생성해 낼 수 있다. 기존의 아이소-지오메트릭 구조해석 및 설계민감도 해석 결과와 비교하여 제안된 해석방법론이 더 정확한 해와 더 빠른 수렴성을 보이는 것을 확인하였다.

수직운동하는 지지대 상에서 직진운동하는 보의 진동해석 (Vibration Analysis of a Beam Translating over Supports in Vertical Motion)

  • 정찬교;김창부
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1996년도 추계학술대회논문집; 한국과학기술회관, 8 Nov. 1996
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    • pp.189-196
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    • 1996
  • Vibration of a beam translating over supports in vertical motion is investigated in this paper. Equations of motion are formulated using the virtual work principle by regarding the supports as kinematical constraints imposed on an unrestrained beam and by discretizing the beam via the assumed mode method. Differential-algebraic equations of motion are derived and reduced to differential equations in independent generalized coordinates by the generalized coordinate partitioning method. Geometric stiffness of the beam due to translating motion is considered and how the geometric stiffness of beam affects dynamic stability is also investigated. Instability of the beam. in various conditions is also investigated using Floquet theory and then the results are verified through the dynamic response analysis. Results of numerical simulation are presented for various prescribed motions of the beam.

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저자유도 조인트의 구속조건 생성을 위한 파라메트릭 일반좌표 이용 (Use of Parametric Generalized Coordinates for Kinematic Constraint Formulation of Low Degree-of-Freedom Joints)

  • 이정근;이철호;배대성
    • 대한기계학회논문집A
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    • 제37권10호
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    • pp.1261-1267
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    • 2013
  • 다물체 기계시스템에서 핀조인트나 병진조인트 같은 저자유도 조인트는 고자유도 조인트보다 훨씬 빈번하게 사용된다. 저자유도 조인트에 대한 기구학적 구속조건식을 효율적이고 체계적으로 공식화하기 위해, 본 논문은 구속조건식을 표현하는 새로운 접근방법으로 파라메트릭 일반좌표를 이용한다. 제안된 방법에서는 직교좌표와 파라메트릭 일반좌표를 혼합하여 조인트 구속조건을 생성하는데, 이는 구속조건에 대한 자코비안과 같은 구속조건 편미분행렬을 매우 간단하게 표현되도록 하므로써 공식의 복잡성과 계산시간을 단축시킨다. 제안된 방법은 암시적 적분기를 바탕으로 실린더-크랭크시스템에서 검증되었다.

HEAT EQUATION IN WHITE NOISE ANALYSIS

  • KimLee, Jung-Soon
    • 대한수학회지
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    • 제33권3호
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    • pp.541-555
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    • 1996
  • The Fourier transform plays a central role in the theory of distribution on Euclidean spaces. Although Lebesgue measure does not exist in infinite dimensional spaces, the Fourier transform can be introduced in the space $(S)^*$ of generalized white noise functionals. This has been done in the series of paper by H.-H. Kuo [1, 2, 3], [4] and [5]. The Fourier transform $F$ has many properties similar to the finite dimensional case; e.g., the Fourier transform carries coordinate differentiation into multiplication and vice versa. It plays an essential role in the theory of differential equations in infinite dimensional spaces.

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헤링본 그루브 공기 스러스트 베어링의 해석 (Theoretical Analyses of Herringbone Grooved Air Thrust Bearings)

  • 박상신;장우영
    • Tribology and Lubricants
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    • 제27권5호
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    • pp.233-239
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    • 2011
  • In this study, the characteristics of herringbone grooved air thrust berings are studied. It is shown that a generalized coordinate transformation method which was developed for handling complex geometry such as herring bone groove journal bearings is well applied to herringbone grooved air thrust bearings. The load carrying capacity and stiffness and damping coefficients are calculated according to the design parameters like groove depth or the number of grooves and compared to that of plain air journal bearings.

엘리베이터용 사다리꼴 에어 스크류의 설계 (Design of Trapezoidal Air Screw for Elevators)

  • 박상신;김진호
    • Tribology and Lubricants
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    • 제24권1호
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    • pp.14-20
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    • 2008
  • In this paper, the characteristics of trapezoidal air screws is studied. These screws can e applied to the elevator having column driving shaft. The generalized coordinate transformation technique is used to solve incompressible Reynolds' equation because the air lubricated plane is twisted. The transformed equation is discretized by the base of Finite difference method. Using Visual C++ language, a GUI program which can calculate he load carrying capacity for this kind of air screw is developed, then the design variables for these air screws is studied.

급 확대부를 갖는 실린더 챔버 내부 유동의 큰 척도 난류 보텍스 구조에 관한 연구 (Large-Scale Turbulent Vortical Structure Inside a Sudden Expansion Cylinder Chamber)

  • 성형진;고상철
    • 대한기계학회논문집B
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    • 제25권7호
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    • pp.905-914
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    • 2001
  • A large eddy simulation(LES) is performed for turbulent flow around a bluff body inside a sudden expansion cylinder chamber, a configuration which resembles a premixed gas turbine combustor. To promote turbulent mixing and to accommodate flame stability, a flame holder is installed inside the combustion chamber. The Smagorinsky model is employed and the calculated Reynolds number is 5,000 based on the bulk velocity and the diameter of the inlet pipe. The simulation code is constructed by using a general coordinate system based on the physical contravariant velocity components. The predicted turbulent statistics are evaluated by comparing them with the laser-doppler velocimetry (LDV) measurement data. The agreement of LES with the experimental data is shown to be satisfactory. Emphasis is placed on the time-dependent evolutions of turbulent vortical structure behind the flame holder. The numerical flow visualizations depict the behavior of large-scale vortices. The turbulent mixing process behind the flame holder is analyzed by visualizing the sectional views of vortical structure.

Strategy to coordinate actions through a plant parameter prediction model during startup operation of a nuclear power plant

  • Jae Min Kim;Junyong Bae;Seung Jun Lee
    • Nuclear Engineering and Technology
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    • 제55권3호
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    • pp.839-849
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    • 2023
  • The development of automation technology to reduce human error by minimizing human intervention is accelerating with artificial intelligence and big data processing technology, even in the nuclear field. Among nuclear power plant operation modes, the startup and shutdown operations are still performed manually and thus have the potential for human error. As part of the development of an autonomous operation system for startup operation, this paper proposes an action coordinating strategy to obtain the optimal actions. The lower level of the system consists of operating blocks that are created by analyzing the operation tasks to achieve local goals through soft actor-critic algorithms. However, when multiple agents try to perform conflicting actions, a method is needed to coordinate them, and for this, an action coordination strategy was developed in this work as the upper level of the system. Three quantification methods were compared and evaluated based on the future plant state predicted by plant parameter prediction models using long short-term memory networks. Results confirmed that the optimal action to satisfy the limiting conditions for operation can be selected by coordinating the action sets. It is expected that this methodology can be generalized through future research.