• Title/Summary/Keyword: Three-DOF

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Free vibration of a rectangular plate with an attached three-degree-of-freedom spring-mass system

  • Febbo, M.;Bambill, D.V.;Rossi, R.E.
    • Structural Engineering and Mechanics
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    • v.40 no.5
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    • pp.637-654
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    • 2011
  • The present paper studies the variation of the natural frequencies and mode shapes of rectangular plates carrying a three degree-of-freedom spring-mass system (subsystem), when the subsystem changes (stiffness, mass, moment of inertia, location). An analytical approach based on Lagrange multipliers as well as a finite element formulation are employed and compared. Numerically reliable results are presented for the first time, illustrating the convenience of using the present analytical method which requires only the solution of a linear eigenvalue problem. Results obtained through the variation of the mass, stiffness and moment of inertia of the 3-DOF system can be understood under the effective mass concept or Rayleigh's statement. The analysis of frequency values of the whole system, when the 3-DOF system approaches or moves away from the center, shows that the variations depend on each particular mode of vibration. When the 3-DOF system is placed in the center of the plate, "new" modes are found to be a combination of the subsystem's modes (two rotations, traslation) and the bare plate's modes that possess the same symmetry. This situation no longer exists as the 3-DOF system moves away from the center of the plate, since different bare plate's modes enable distinct motions of the 3-DOF system contributing differently to the "new' modes as its location is modified. Also the natural frequencies of the compound system are nearly uncoupled have been calculated by means of a first order eigenvalue perturbation analysis.

RCGA-Based Tuning of the 2DOF PID Controller (2자유도 PID 제어기의 RCGA기반 동조)

  • Hwang, Seung-Wook;Song, Se-Hoon;Kim, Jung-Keun;Lee, Yun-Hyung;Lee, Hyun-Shik;Jin, Gang-Gyoo
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.9
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    • pp.948-955
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    • 2008
  • The conventional PID controller has been widely employed in industry. However, the PID controller with one degree of freedom(DOF) can not optimize both set-point tracking response and disturbance rejection response at the same time. In order to solve this problem, a few types of 2DOF PID controllers have been suggested. In this paper, a tuning formula for a 2DOF PID controller is presented. The optimal parameter sets of the 2DOF PID controller are determined based on the first-order plus time delay process and a real-coded genetic algorithm(RCGA) such that the ITAE performance criterion is minimized. The tuning rule is then addressed using calculated parameter sets and another RCGA. A set of simulation works are carried out on three processes with time delay to verify the effectiveness of the proposed rule.

Development of Vertical Biomechanical Model for Evaluating Ride Quality (승차감 평가를 위한 수직 방향의 인체 진동 모델 개발)

  • 조영건;박세진;윤용산
    • Journal of KSNVE
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    • v.10 no.2
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    • pp.269-279
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    • 2000
  • This paper deals with the development of biomechanical model on a seat with backrest support in the vertical direction. Four kinds of biomechanical models are discussed to depict human motion. One DOF model mainly describes z-axis motion of hip, two and three DOF models describe z-axis of hip and head, and while nine DOF model suggested in this study represents more motion than the otehr model. Three kinds of experiments were executed to validate these models. The first one was to measure the acceleration of the floor and hip surface in z-axis, the back surface in x-axis, and the head in z-axis under exciter. From this measurement, the transmissiblities of each subject were obtained. The second one was the measurement of the joint position by the device having pointer and the measurement of contact position between the human body and the seat by body pressure distribution. The third one was the measurement of the seat and back cushion by dummy. The biomechanical model parameters were obtained by matching the simulated to the experimental transmissiblities at the hip, back, and head.

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Identification of eighteen flutter derivatives of an airfoil and a bridge deck

  • Chowdhury, Arindam Gan;Sarkar, Partha P.
    • Wind and Structures
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    • v.7 no.3
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    • pp.187-202
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    • 2004
  • Wind tunnel experiments are often performed for the identification of aeroelastic parameters known as flutter derivatives that are necessary for the prediction of flutter instability for flexible structures. Experimental determination of all the eighteen flutter derivatives for a section model facilitates complete understanding of the physical mechanism of flutter. However, work in the field of identifying all the eighteen flutter derivatives using section models with all three degree-of-freedom (DOF) has been limited. In the current paper, all eighteen flutter derivatives for a streamlined bridge deck and an airfoil section model were identified by using a new system identification technique, namely, Iterative Least Squares (ILS) approach. Flutter derivatives of the current bridge and the Tsurumi bridge are compared. Flutter derivatives related to the lateral DOF have been emphasized. Pseudo-steady theory for predicting some of the flutter derivatives is verified by comparing with experimental data. The three-DOF suspension system and the electromagnetic system for providing the initial conditions for free-vibration of the section model are also discussed.

A neural network based sensor modeling for 6-DOF motions of objects

  • Park, Won-Shik;Hyungsuck Cho
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.97.5-97
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    • 2002
  • A sensor modeling via artificial neural network is presented in this paper. The optical sensor has been designed to treasure absolute 3-dimensional positions and orientations of objects in 6-DOF. The method utilizes a triangular pyramidal mirror having an equilateral cross-sectional shape referred as 3-facet mirror. The mirror has three lateral reflective surfaces inclined 45 degrees to its bottom surface. The 3-facet mirror is mounted on the object whose 6-DOF motion is to be measured. As optical components, a He-Ne laser source and three position-sensitive detectors(PSD) are used. The laser beam is emitted from the He-Ne laser source located at the upright position and vertically incident o...

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Inverse and Forward Kinematics Analysis of 6 DOF Multi Axis Simulation Table and Verification (6 자유도 다축 시뮬레이션 테이블의 역.순기구학 해석 및 검증)

  • Jin, Jae-Hyun;Jeon, Seung-Bae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.2
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    • pp.202-208
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    • 2008
  • A 6 DOF Multi axis simulation table (MAST) is used to perform vibration and fatigue tests for parts or assemblies of automobiles, aircraft, or other systems. It consists of a table and 6 linear actuators. For its attitude control, we have to adjust the lengths of 6 actuators properly. The system is essentially a parallel mechanism. Three actuators are connected to the table directly and other three actuators are connected indirectly. Because of these, the MAST shows also a serial mechanism#s property: the inverse kinematics is more complicated than a pure parallel mechanism and each actuator can operate independently. The authors have performed a kinematics analysis of the 6 DOF MAST. We have presented an analytical and a numerical solution for the inverse and forward kinematics, and we have verified the solutions by a 3D CAD software.

Design Optimization of Planar 3-DOF Parallel Manipulator for Alignment of Micro-Components (마이크로 부품 조립을 위한 평면 3 자유도 병렬 정렬기의 최적설계)

  • Lee, Jeong-Jae;Song, Jun-Yeob;Lee, Moon-G.
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.20 no.3
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    • pp.322-328
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    • 2011
  • This paper presents inverse kinematics and workspace analysis of a planar three degree-of-freedom (DOF) parallel manipulator. Furthermore, optimization problem of the manipulator is presented. The manipulator adopts PRR (Prismatic-Revolute-Revolute) mechanism and the prismatic actuators are fixed to the base. This leads to a reduction of the inertia of the moving links and hence enables it to move with high speed. The actuators are linear electric motors. First, the mechanism based on the geometry of the manipulator is introduced. Second, a workspace analysis is performed. Finally, design optimization is carried out to have large workspace. The proposed approach can be applied to the design optimization of various three DOF parallel manipulators in order to maximize their workspace. The performance of mechanism is improved and satisfies the requirements of workspace to align micro-components.

Design and Analysis of Double Excited 3-Degree-of-Freedom Motor for Robots

  • Kwon, Byung-Il;Kim, Young-Boong
    • Journal of Electrical Engineering and Technology
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    • v.6 no.5
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    • pp.618-625
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    • 2011
  • This paper presents a double excited three degree-of-freedom (3DOF) motor. The proposed 3DOF motor is designed with a laminated structure, making it easy to manufacture. In addition, it has windings on the stator and rotor, and does not require an expensive permanent magnet. We explain the structure, principle of motion, and design of the proposed motor, and perform an analysis of the static characteristics using the two- and three-dimensional finite element methods (3D FEM). The feasibility of 3D FEM analysis is confirmed by comparing the 3D FEM analysis and experimental results for the rolling and pitching motion. We also confirm the occurrence of holding torque in every motion.

Measurement Method for Fine 6-DOF Displacement of Rigid Bodies (강체의 6자유도 미소 변위 측정)

  • Park, Won-Shik;Cho, Hyung-Suck
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.3
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    • pp.208-219
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    • 2002
  • A novel measurement method to obtain the 6-DOF motions of arbitrary rigid bodies is proposed in this paper. The method adopts a specially fabricated mirror called 3-facet mirror, which looks like a triangular pyramid haying an equilateral cross-sectional shape. The mirror is mounted on the objects to be measured, illuminated by a laser beam having circular profile, and reflects the laser beam in three different directions. Three PSDs(position sensitive detector) detect the three beams reflected by the mirror, respectively. From the signals of the PSDs, we can calculate the 3-dimensional position and orientation of the 3-facet mirror, and thus enabling us to determine the 3-dimensional position and orientation of the objects. In this paper, we model the relationship between the 3-dimensional position and orientation of an object in motion and the outputs of three PSDs. A series of experiments are performed to demonstrate the effectiveness and accuracy of the proposed method. The experimental results show that the proposed sensing system can be an effective means of obtaining 3-dimensional position and orientation of arbitrary objects and provide resonable measurement accuracy.

A Forward Closed-Form Position Solution, Kinematic Analysis And Implementation of a Translational 3-DOF Parallel Mechanism Formed by Constraining a Stewart Platform Structure (스트워트 플랫폼 구조를 구속하여 얻어지는 병진형 3 자유도 병렬 메커니즘의 정위치 해석해와 기구학 해석 및 구현)

  • Shin Dong-Min;Chung Jae-Heon;Oh Se-Min;Yi Byung-Ju;Kim Whee-Kuk
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.10
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    • pp.1035-1043
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    • 2006
  • In this study, a translational 3-DOF parallel mechanism formed by constraining the Stewart Platform Mechanism is investigated. The translational 3-DOF parallel mechanism has three struts(3-UPS type serial subchains) and in addition, has a PPP type serial subchain in the middle of the mechanism. Firstly, the closed-form forward and reverse position solutions are derived for this mechanism. And analysis on kinematic characteristics using isotropic index of the Jacobian is conducted to examine effects of design parameters for the mechanism. Lastly, a prototype mechanism is implemented and the kinematic performance of the translational 3-DOF parallel mechanism was verified through experimental work.