• Title/Summary/Keyword: Flexible dynamics

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Lumped-parameter modeling of flexible manipulator dynamics

  • Kim, Jin-Soo;Konno, Atsushi;Uchiyama, Masaru;Usui, Kazuaki;Yoshimura, Kazuki
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.117-122
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    • 1994
  • In this paper, we discuss the modeling of flexible manipulators. In the modeling of flexible manipulators, there are two approaches: one is based on the distributed-parameter modeling and the other on the lumped-parameter modeling. The former has been applied to control and analysis of simple manipulator requiring precision, while the latter has been applied to multi-link spatial manipulator, because of the model's simplicity. We have already proposed the lumped-parameter modeling method for simple manipulator, and investigate that model of how much degree of precision we can get. The experiments and simulations are performed, comparing these results, the approximate performance of our modeling method is discussed.

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Flexible Multibody Dynamic Analysis Using Multirate Integration Method (멀티레이트 수치적분법을 이용한 유연다물체 동역학해석)

  • Kim, Seong-Su;Kim, Bong-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.11
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    • pp.2804-2811
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    • 2000
  • A Nordsick form opf the multirate integration scheme has been proposed for flexible multibody dynamic systems. It is assumed that vibrational modal coordinates in the equations of motion are treated as fast variables, whereas the relative joint coordinates are treated as slow variables. In the multirate integration, the fast variables are integrated with small step-size, and the slow variables are integrated with larger step-size. The proposed multirate integration method is based on the Adams-Bashforth-Moulton predictor-corrector method and implemented in the Nordsieck vector form. The Nordsieck form of multrate integration method provides effective step-size control and at the same time, inherits the efficiency from the Adams integration method. Simulations of a flexible gun and turret system of the military tank have been carried out to show the effectiveness and efficiency of the proposed method.

A Study on Design of Flexible Gripper for Unmanned FA (무인 FA를 위한 플렉시블 그리퍼 설계에 관한 연구)

  • Kim, Hyun-Gun;Kim, Gi-Bok;Kim, Tae-Kwan
    • Journal of the Korean Society of Industry Convergence
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    • v.18 no.3
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    • pp.167-172
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    • 2015
  • In this paper, we propose a new approach to design and control a smart gripper of robot system. A control method for flexible grasping a object in partially unknown environment was proposed, where a proximate sensor detecting the distance between the fingertip and object was used. Based on the proximate sensor signal the finger motion controller could plan the grasping process divided in three phases. The first step is scanning process which two first joints were moved to mid-position of the detected range by a state-variable feedback position controller, after the scanning was finished. The contact force of fingertip was then controlled using the detection sensor of the servo controller for finger joint control. The proposed grasping planning was tested on rectangular bar.

Dynamic Analysis of Interconnected Flexible Beams Having Large Rigid Body Rotations (대규모 강체 회전을 포함한 상호 연결된 유연한 보의 동역학적 해석)

  • Lee, K.S.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.8
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    • pp.108-114
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    • 1997
  • A simple and efficient method is presented for the dynamics of interconnected flexible beams having large rigid body rotations. A simple mass matrix is obtained by interpolating the displacements in the global inertia frame, and the elastic force is also simply computed by using linear finite element technique with the moving frame attached to the beam. For the beams connected by revolute joints, kinematic constraints and relative rotations between the beans are not required and the equations of motions are time integrated by a simple ODE technique. Numerical simulations are conducted to demonstrate the accuracy and efficiency of the present technique.

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Inverse Dynamic Analysis of Flexible Multibody System in the Joint Coordinate Space (탄성 다물체계에 대한 조인트좌표 공간에서의 역동역학 해석)

  • Lee, Byung-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.2
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    • pp.352-360
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    • 1997
  • An inverse dynamic procedure for spatial multibody systems containing flexible bodies is developed in the relative joint coordinate space. Constraint acceleration equations are derived in terms of relative coordinates using the velocity transformation technique. An inverse velocity transformation operator, which transforms the Cartesian velocities to the relative velocities, is derived systematically corresponding to the types of kinematic joints connecting the bodies and the system reference matrix. Using the resulting matrix, the joint reaction forces and moments are analyzed in the Cartesian coordinate space. The formulation is illustrated by means of two numerical examples.

Formulations of Linear and Nonlinear Finite Element for Dynamic Flexible Beam (유연보의 동역학 해석에 대한 선형 및 비선형 유한요소 정식화)

  • Yun Seong-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.2 s.179
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    • pp.113-121
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    • 2006
  • This paper established the dynamic model of a flexible Timoshenko beam capable of geometrical nonlinearities subject to large overall motions by using the finite element method. Equations of motion are derived by using Hamilton principle and are formulated in terms of finite elements using CO elements in which the nonlinear constraint equations are adjoined to the system using Lagrange multipliers. In the final formulation are presented Coriolis and Gyroscopic forces as well as linear and nonlinear stiffnesses effects for the forthcoming numerical computation.

Three-axis Attitude Control for Flexible Spacecraft by Lyapunov Approach under Gravity Potential

  • Bang, Hyo-Choong;Lee, Kwang-Hyun;Lim, Hyung-Chul
    • International Journal of Aeronautical and Space Sciences
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    • v.4 no.1
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    • pp.99-109
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    • 2003
  • Attitude control law synthesis for the three-axis attitude maneuver of a flexible spacecraft model is presented in this study. The basic idea is motivated by previous works for the extension into a more general case. The new case includes gravitational gradient torque which has significant effect on a wide range of low earth orbit missions. As the first step, the fully nonlinear dynamic equations of motion are derived including gravitational gradient. The control law design based upon the Lyapunov approach is attempted. The Lyapunov function consists of a weighted combination of system kinetic and potential energy. Then, a set of stabilizing control law is derived from the basic Lyapunov stability theory. The new control law is therefore in a general form partially validating the previous work in some sense.

Optimal Control of Large Flexible Structures Via Partial Decoupling (부분 분리법에 의한 유연성이 있는 대형구조물의 최적제어)

  • Jeon, Gi-Joon
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.2
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    • pp.189-196
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    • 1986
  • Linear second-order matrix systems representing dynamics of large flexible structures are recast in a state space form. By can efficient partial decoupling technique, a few of low frequency modes are decoupled from the rest of modes, and an optimal control procedure is developed in such a way that damping is added to the selected modes without control spillover to uncontrolled modes. Since the partial decoupling requires only eigenvectors of the sected modes, the computing time can be reduced significantly in large systems. Therefore, the method of partial decoupling and control developed in this work may be applicable to vibration contorl of large flexible space structures.

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Adaptive Controller Design of the Flexible Robotic Manipulator (유연한 로보트 매니퓰레이터의 적응 제어기 설계)

  • 김승록;박종국
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.3
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    • pp.25-34
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    • 1992
  • This paper proposes a Self-Tuning control algorithm for tracking the reference trajectory by measuring the end-point of robot manipulator whose links are light and flexible, and the performance of it is tested through the computer simulation. As an object of system, a flexible robot manipulator with two-links is considered and an assumed mode shape method including gravity force is adopted to analyze the vibration modes for each links and dynamics equation is derived. The controller is designed as a combined form which consists of dynamic feedforward compensator and self-tuning feedback controller. The one supplies nominal torque and the other supplies variational torque to manipulator. Apart from the, K-incremental predictor is also proposed in order to eliminate the offset error. and it shows that the result of simulation adapted well to load change and rapid velocity.

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Mechanical Model of Displacement-based Time Domain Transmitting Boundary for Flexible Dam-Reservoir Interactions (유연한 댐-호소의 상호작용을 위한 변위 기초 시간 영역 전달 경계의 역학적 모델)

  • 이진호;김재관;조정래
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.03a
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    • pp.232-237
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    • 2003
  • A new displacement-based transmitting boundary is developed for the transient analysis of dynamics interactions between flexible dam body and reservoir impounding compressible water The mechanical model is derived analytically in time domain from the kernel function, Bessel function, appearing in the convolution integral and corresponding mechanical model is developed that consists of mass, damping and stiffness matrices. The resulting system of, equations uses displacement degrees of freedom. Hence it can be coupled directly with the displacement-based solid finite element model of dam body, linear of nonlinear. The method was applied to the rigid and flexible dam models. The results showed very good agreement : with the semi-analytic frequency domain solutions.

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