• Title/Summary/Keyword: Inertia Matrix

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Dynamic Modeling of 2 DOF Parallel Manipulator (2 자유도 병렬 메니퓰레이터의 동적 모델링)

  • Lee, Jong Gyu;Lee, Sang Ryong;Lee, Choon Young;Yang, Seung Han
    • Journal of the Korean Society for Precision Engineering
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    • v.31 no.10
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    • pp.897-904
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    • 2014
  • In this paper, two-DOF parallel manipulator has the sliders which execute a linear reciprocating motion depending on parallel guides and the end-effector which can be adjusted arbitrarily. To investigate the dynamic characteristics of the manipulator, the dynamic performance index is used. The index is able to be obtained by the relation between the Jacobian matrix and the inertia matrix. The kinematic and the dynamic analysis find these matrices. Also, the dynamic model of the manipulator is derived from the Lagrange formula. This model represents complicated nonlinear equations of motion. With the simulation results of the dynamic characteristic of the manipulator, we find that the dynamic performance index is based on the selection of the ranges for the continuous movement of the manipulator and the dynamic model derived can be used to the control algorithm development of the manipulator.

Dynamic optimal design of an anthropomorphic robot manipulator (인체형 로봇 매니퓰레이터의 동역학적 최적설계)

  • 이상헌;이병주;광윤근
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.82-87
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    • 1994
  • In this study, dynamic optimal design far a two degree-of-freedom anthropomorphic robot module is performed. Several dynamic design indices associated with the inertia matrix and the inertia power array are introduced. Analysis for the relationship between the dynamic parameters and the design indices shows that trade-offs exist between the isotropy and the dynamic design indices related to the actuator size. A composite design index is employed to deal with multi-criteria based design with different weighting factors, in a systematic manner. We demonstrate the fact that dynamic optimization is another significant step to enhance the system performances, followed by kinematic optimization.

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Study on 3 DoF Image and Video Stitching Using Sensed Data

  • Kim, Minwoo;Chun, Jonghoon;Kim, Sang-Kyun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.9
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    • pp.4527-4548
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    • 2017
  • This paper proposes a method to generate panoramic images by combining conventional feature extraction algorithms (e.g., SIFT, SURF, MPEG-7 CDVS) with sensed data from inertia sensors to enhance the stitching results. The challenge of image stitching increases when the images are taken from two different mobile phones with no posture calibration. Using inertia sensor data obtained by the mobile phone, images with different yaw, pitch, and roll angles are preprocessed and adjusted before performing stitching process. Performance of stitching (e.g., feature extraction time, inlier point numbers, stitching accuracy) between conventional feature extraction algorithms is reported along with the stitching performance with/without using the inertia sensor data. In addition, the stitching accuracy of video data was improved using the same sensed data, with discrete calculation of homograph matrix. The experimental results for stitching accuracies and speed using sensed data are presented in this paper.

Impedance Parameter Update Method for Dual-arm Manipulator based on Operator's Muscle Activation (조작자 근육 활성도 기반 양팔 로봇의 임피던스 제어 파라미터 갱신 방법)

  • Baek, Chanryul;Cha, Gwangyeol;Kim, Junsik;Choi, Youngjin
    • The Journal of Korea Robotics Society
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    • v.17 no.3
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    • pp.347-352
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    • 2022
  • The paper presents how to update impedance control parameters for dual-arm manipulators using EMG signals and motions of the operator. Since the hand motions of the dual-arm are modeled to be the mass-spring-damper system in this paper, the impedance parameter update method is an important issue to reflect the operator's force. However, task space inertia to be used as the mass parameter goes to infinity if the manipulator approaches a kinematic singularity. To alleviate this issue, the impedance (stiffness and damping) parameters are divided with a diagonal element of the task space inertia. Also, the stiffness and damping matrices are updated using the normalized EMG signals captured from the operator's forearm. Through this process, the motion of the dual-arm manipulator is more stabilized even though it approaches the kinematic singularity.

ROBUST ADAPTIVE CONTROLLER FOR ROBOT MANIPULATOR CONTROL (로보트 매니플레이터를 위한 강인한 제어기 설계에 관한 연구)

  • Ryoo, Kgi-Wung;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.456-461
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    • 1989
  • In this paper, the robust adaptive controller for the accurate position control of the robot manipulator in discribed. The proposed controller has feedforward and feedback terms. To reduced the cumputation time, the inertia matrix is simlipied by diagonal matrix and the centrifugal and Colioris term and gravity term are assumed to be zero. The auxiliary signal is added in the controller. This signal improve convergence time of error. The simulation results show that the proposed method is applied to the real time control.

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Haptic Device For Haptic Interaction With Virtual Environment (가상환경과 촉감적 상호작용을 위한 햅틱 디바이스)

  • 정영훈;이재원;주해호
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.27-30
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    • 2000
  • In this paper, we determine the design criteria of haptic device considering the human haptic system and determine the design specifications. We developed a new 2DOF haptic device based on the specifications. It has the wide workspace, statically-balanced, constant inertia matrix, well-conditioned Jacobian matrix and so on. There also is not singularity point within workspace of the device. We show that it has better performance than other 2DOF haptic device in the many aspects.

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Rotor Dynamics Analysis of a Spindle System for a High speed Grinding Machine (고속 연삭기 주축 시스템의 회전체 역학 해석)

  • 최영휴
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.714-719
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    • 2000
  • This paper describes a transfer matrix approach to analyze the dynamics of a high sped flexible rotor system supported at 2 positions by five ceramic bearings. The rotor system is modelled as lumped parameters in which many factors are considered not only lumped inertia or mass, bending moment, shear force but also gyroscopic effect and unbalance. The equation of motion is derived in the transfer matrix form, from which the eigenvalues equation is also derived. The transfer natural frequencies and modes. The eigenvalues, eigenmodes, campbell diagram, whirling critical speed, whirling modes, and the response of unbalance are calculated and discussed.

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Characterizing buckling behavior of matrix-cracked hybrid plates containing CNTR-FG layers

  • Lei, Zuxiang;Zhang, Yang
    • Steel and Composite Structures
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    • v.28 no.4
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    • pp.495-508
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    • 2018
  • In this paper, the effect of matrix cracks on the buckling of a hybrid laminated plate is investigated. The plate is composed of carbon nanotube reinforced functionally graded (CNTR-FG) layers and conventional fiber reinforced composite (FRC) layers. Different distributions of single walled carbon nanotubes (SWCNTs) through the thickness of layers are considered. The cracks are modeled as aligned slit cracks across the ply thickness and transverse to the laminate plane, and the distribution of cracks is assumed statistically homogeneous corresponding to an average crack density. The first-order shear deformation theory (FSDT) is employed to incorporate the effects of rotary inertia and transverse shear deformation, and the meshless kp-Ritz method is used to obtain the buckling solutions. Detailed parametric studies are conducted to investigate the effects of matrix crack density, CNTs distributions, CNT volume fraction, plate aspect ratio and plate length-to-thickness ratio, boundary conditions and number of layers on buckling behaviors of hybrid laminated plates containing CNTR-FG layers.

Dynamic analysis of trusses including the effect of local modes

  • Levy, Eldad;Eisenberger, Moshe
    • Structural Engineering and Mechanics
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    • v.7 no.1
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    • pp.81-94
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    • 1999
  • The dynamic analysis of trusses using the finite element method tends to overlook the effect of local member dynamic behavior on the overall response of the complete structure. This is due to the fact that the lateral inertias of the members are omitted from the global inertia terms in the structure mass matrix. In this paper a condensed dynamic stiffness matrix is formulated and used to calculate the exact dynamic properties of trusses without the need to increase the model size. In the examples the limitations of current solutions are presented together with the exact results obtained from the proposed method.

Improving Accuracy of Measurement of Rigid Body Motion by Using Transfer Matrix (전달 행렬을 이용한 강체 운동 측정의 정확도 개선)

  • 고강호;국형석
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.253-259
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    • 2002
  • The rigid body characteristics (value of mass, Position of center of mass, moments and products of inertia) of mechanical systems can be identified from FRF data or vibration spectra of rigid body motion. Therefore the accuracy of rigid body characteristics is connected directly with the accuracy of measured data for rigid body motions. In this paper, a method of improving accuracy of measurement of rigid body motion is presented. Applying rigid body theory, ail translational and rotational displacements at a tentative point on the rigid body are calculated using the measured translational displacements for several points and transfer matrix. Then the estimated displacements for the identical points are calculated using the 6 displacements of the tentative Point and transfer matrix. By using correlation coefficient between measured and estimated displacements, we can detect the existence of errors that are contained in a certain measured displacement. Consequently, the improved rigid body motion with respect to a tentative point can be obtained by eliminating the contaminated data.

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