• 제목/요약/키워드: Newton-Euler Equations

검색결과 21건 처리시간 0.022초

Dynamic contact response of a finite beam on a tensionless Pasternak foundation under symmetric and asymmetric loading

  • Coskun, Irfan
    • Structural Engineering and Mechanics
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    • 제34권3호
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    • pp.319-334
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    • 2010
  • The dynamic response of a finite Bernoulli-Euler beam resting on a tensionless Pasternak foundation and subjected to a concentrated harmonic load is investigated in this study. This load may be applied at the center of the beam, or it may be offset from the center. Since the elastic foundation is assumed to be tensionless, the beam may lift off the foundation, resulting in contact and non-contact regions in the system. An analytical/numerical solution is obtained from the governing equations of the contact and non-contact regions to determine the coordinates of the lift-off points. Although there is no nonlinear term in the equations, the problem appears to be nonlinear since the contact regions are not known in advance. Due to that nonlinearity, the essentials of the problem (the coordinates of the lift-off points) are calculated numerically using the Newton-Raphson technique. The results, which represent the symmetric and asymmetric responses of the beam, are presented graphically in this work. They illustrate the effects of the forcing frequency and the beam length on the extent of the contact regions and displacements.

Recent Developments in Multibody Dynamics

  • Schiehlen Werner
    • Journal of Mechanical Science and Technology
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    • 제19권spc1호
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    • pp.227-236
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    • 2005
  • Multibody system dynamics is based on classical mechanics and its engineering applications originating from mechanisms, gyroscopes, satellites and robots to biomechanics. Multibody system dynamics is characterized by algorithms or formalisms, respectively, ready for computer implementation. As a result simulation and animation are most convenient. Recent developments in multibody dynamics are identified as elastic or flexible systems, respectively, contact and impact problems, and actively controlled systems. Based on the history and recent activities in multibody dynamics, recursive algorithms are introduced and methods for dynamical analysis are presented. Linear and nonlinear engineering systems are analyzed by matrix methods, nonlinear dynamics approaches and simulation techniques. Applications are shown from low frequency vehicles dynamics including comfort and safety requirements to high frequency structural vibrations generating noise and sound, and from controlled limit cycles of mechanisms to periodic nonlinear oscillations of biped walkers. The fields of application are steadily increasing, in particular as multibody dynamics is considered as the basis of mechatronics.

자기부상을 이용한 초정밀 6자유도 스테이지의 위치제어 (Position Control of a Precise 6-D.O.F Stage with Magnetic Levitation)

  • 이세한;강재관;김용주
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2004년도 추계학술대회 논문집
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    • pp.894-897
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    • 2004
  • In this paper, we address a position control scheme for a stage system, which is levitated and driven by electric magnetic actuators. This consists of a levitating object (called platen) with 4 permanent magnetic linear synchronous motors in parallel. Each motor generates vertical force for suspension against gravity and propulsion force horizontally as well. This stage can generate six degrees of freedom motion by the vertical and horizontal forces. Dynamic equations of the stage system are derived based on Newton-Euler method and its special Jacobian matrix describing a relation between the Joint velocity and platen velocity is done. There are proposed two control schemes for positioning, which are Cartesian space controller and Joint space controller. The control performance of the Cartesian space controller is better than the Joint space controller in task space trajectory while the Joint space controller is simpler than the Cartesian space controller in controller realization.

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First Principle Approach to Modeling of Primitive Quad Rotor

  • Sudiyanto, Tata;Muljowidodo, Muljowidodo;Budiyono, Agus
    • International Journal of Aeronautical and Space Sciences
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    • 제10권2호
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    • pp.148-160
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    • 2009
  • By the development of recent technology, a new variant of rotorcrafts having four rotors start drawing attention from aerial-robotics engineers more than before. Its potential spans from just being control device test bed to performing difficult task such as carrying surveillance device to unreachable places. In this regards, modeling a quad-rotor is significant in analyzing its dynamic behavior and in synthesizing control system for such a vehicle. This paper summarizes the modeling of a mini quad-rotor aerial vehicle. A first principle approach is considered for deriving the model based on Euler-Newton equations of motion. The result of the modeling is a simulation platform that is expected to acceptably predict the dynamic behavior of the quad-rotor in various flight conditions. Linear models associated with different flight condition can be extracted for the purpose of control synthesis.

순환 다물체동역학에서의 비순환적인 동하중해석 공식 (A Non-recursive Formulation of Dynamic Force Analysis in Recursive Multibody Dynamics)

  • 김성수
    • 대한기계학회논문집A
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    • 제21권5호
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    • pp.809-818
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    • 1997
  • An efficient non-recursive formulation of dynamic force analysis has been developed for serially connected multibody systems. Although derivation of equations of motion is based on a recursive dynamic formulation with joint relative coordinates, in the proposed formulation, dynamic forces such as joint reaction forces and driving force are computed non-recursively for specified joints. The efficiency of the proposed formulation has been proved by the operational count and the CPU time measure, comparing with that of the conventional recursive Newton-Euler formulation. A simulation of 7-DOF RRC robot arm has been carried out to validate solutions of reaction forces by comparing with those from a commercial dynamic analysis program DADS.

Hysteretic model for stud connection in composite structures

  • Xi Qin;Guotao Yang
    • Steel and Composite Structures
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    • 제47권5호
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    • pp.587-599
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    • 2023
  • The establishment of a hysteretic model which can accurately predict the hysteretic characteristics of the stud connection is of utmost importance for the seismic assessment of composite structures. In this paper, the Bouc-Wen-Baber-Noori(BWBN) model was adopted to describe the typical hysteretic characteristics of stud connections. Meanwhile, the Newton-Raphson iterative procedure and the Backward Euler method were used to determine the restoring force, and the Genetic Algorithm was employed to identify the parameters of the BWBN model based on the experimental data consisting of eight specimens. The accuracy of the identified parameters was demonstrated by comparison with the experimental data. Finally, prediction equations for the BWBN model parameters were developed in terms of the physical parameters of stud connections, which provides an approach to get the hysteretic response of stud connections conveniently.

Estimation algorithms of the model parameters of robotic manipulators

  • Ha, In-Joong;Ko, Myoung-Sam;Kwon, Seok-Ki
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1987년도 한국자동제어학술회의논문집(한일합동학술편); 한국과학기술대학, 충남; 16-17 Oct. 1987
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    • pp.932-938
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    • 1987
  • The dynamic equations of robotic manipulators can be derived from either Newton-Euler equation or Lagrangian equation. Model parameters which appear in the resulting dynamic equation are the nonlinear functions of both the inertial parameters and the geometric parameters of robotic manipulators. The identification of the model parameters is important for advanced robot control. In the previous methods for the identification of the model parameters, the geometric parameters are required to be predetermined, or the robotic manipulators are required to follow some special motions. In this paper, we propose an approach to the identification of the model parameters, in which prior knowledge of the geometric parameters is not necessary. We show that the estimation equation for the model parameters can be formulated in an upper block triangular form. Utilizing the special structures, we obtain a simplified least-square estimation algorithm for the model parameter identification. To illustrate the practical use of our method, a 4DOF SCARA robot is examined.

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기호방정식을 이용한 3차원 연쇄기구 운동해석의 일반화 (Generalized Kinematic Analysis for the Motion of 3-D Linkages using Symbolic Equation)

  • 김호룡
    • 대한기계학회논문집
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    • 제10권1호
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    • pp.102-109
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    • 1986
  • 본 연구에서는 앞의 여러 연구자들이 시도한 3차원 연쇄기구의 운동해석법을 비교 검토하고, 이중 기호방정식을 이용하여 3차원 연쇄기구의 운동해석을 일반화 하고져 한다. 또 품질향상, 대량생산(mass production) 및 생산가 절하를 위해 만족시키기 위해, 기본해석모델인2차원 연쇄기구에서 3차원연쇄기구로 정밀화 하면서, 가능한 모든 3차원 연쇄기구의 복잡화 되고 있는 현대 기계의 운동요구를 만족시키기 위해, 기본해석모델인 2차원 연쇄기구에서 3차원연쇄기구로 정밀화 하면서, 가능한 모든 3차원 연쇄기구의 운동을 해석 하기 위한 일반해석법을 개발하므로써 해석을 일반화 시키고, 그것을 컴퓨터로 시뮬레이션하여 운동해석을 신빙성있고 신속하게 수행토록 하며, 컴퓨터 결과를 실제모형 즉 구면 4-R 연쇄기구, R-S-S-R 기구 및 3C-R 기구등을 제작하여,실제결과와 비교 검토하므로써 개발된 일반운동해석법의 타당성을 실험적으로 입증 비교 검토하므로써 일반운동해석법의 타당성을 실험적으로 입증하려 한다.

MRAC 기법을 이용한 무인 컨테이너 운송차량의 조향 제어 (Steering Control of Unmaned Container Transporter Using MRAC)

  • 이영진;허남;최재영;이권순;이만형
    • 한국항만학회지
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    • 제14권3호
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    • pp.291-301
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    • 2000
  • T his paper presents the lateral and longitudinal control algorithm for the driving of a 4WS AGV(Automated Guided Vehicle). The control law to the lateral and longitudinal control of the AGV includes adaptive agin tuning ability, that is the controller gain of the gravity compensated PD controller can be changed on a real-time. The gain tuning law is derived from the Lyapunov direct method using the output error of the reference model and the actual model, And to show the performance of the presented lateral and longitudinal control algorithm, we simulate toe nonlinear AGV equations of the motion by deriving the Newton-Euler Method, The read path is from quay yard area to docking position in loading yard area. The quay yard area is where the quay crane loads the container to the AGV and the docking position is where the container is transferred to the gantry crane. The road types are constructed in a straight line and J-turn. When driving the straight line, the driving velocity is 6㎧ and the J-turn is 3㎧.

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상하동요 감쇠장치 적용을 통한 새로운 다물체동역학 프로그램의 적용성 검토 (Study on the Applicability of a New Multi-body Dynamics Program Through the Application to the Heave Compensation System)

  • 구남국;하솔;노명일
    • 한국전산구조공학회논문집
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    • 제26권4호
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    • pp.247-254
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    • 2013
  • 본 논문에서는 해상 시추작업을 위한 heave compensation system의 시뮬레이션 모델을 개발하였다. 우선 시뮬레이션을 위하여, 다물체계 동역학 커널을 개발하였다. 다물체계 동역학 커널은 입력 받은 heave compensation system 시뮬레이션 모델의 운동학적 정보를 이용하여 recursive Newton-Euler formulation 방법을 기반으로 운동방정식을 자동으로 구성하고, 수치적으로 해를 계산하는 기능을 한다. 그리고 해상 시추선에 작용하는 외력을 계산하기 위하여 유체 정역학적 힘과 유체 동역학적 힘을 계산하는 모듈을 개발하였다. 이와 같이 개발한 커널과 모듈들을 적용하여 해상 시추선의 hoisting system 동적거동 해석을 수행하고, 관절에서의 구속력을 계산하였다.