A structural flexibility transformation matrix for modelling open-kinematic chains with revolute and prismatic joints

Journal of Sound and Vibration

Volumn 218, Issue 1, 1998, Pages 45-63

  Chalhoub, N G ^a   Chen, L ^a  

^a Wayne State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; JOINTS (STRUCTURAL COMPONENTS); KINEMATICS; MANIPULATORS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; MOTION CONTROL; VIBRATION CONTROL;

DENAVIT-HARTENBERG TRANSFORMATION MATRIX; FLEXIBLE OPEN-KINEMATIC CHAINS;

VIBRATIONS (MECHANICAL);

EID: 0032207058     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1779     Document Type: Article

References (18)

1. D. A. TURCIC and A. MIDHA 1984 ASME Journal of Dynamic Systems, Measurement, and Control 106, 243-248. Generalized equations of motion for the dynamic analysis of elastic mechanism systems.
2. N. G. CHALHOUB and A. G. ULSOY 1986 ASME Journal of Dynamic Systems, Measurement and Control 108, 119-126. Dynamic simulation of a leadscrew driven flexible robot arm and controller.
3. P. B. USORO, R. NADIRA and S. S. MAHIL 1986 ASME Journal of Dynamic Systems, Measurement, and Control 108, 198-205. A finite element/Lagrange approach to modeling lightweight flexible manipulators.
4. W. H. SUNADA and S. DUBOWSKY 1983 ASME Journal of Mechanisms, Transmissions, and Automation in Design 105, 42-51. On the dynamic analysis and behavior of industrial robotic manipulators with elastic members.
5. J. DENAVIT and R. S. HARTENBERG 1955 ASME Journal of Applied Mechanics 22, 215-221. A kinematic notation for lower-pair mechanisms based on matrices.
6. W. J. BOOK 1984 International Journal of Robotics Research 3, 87-101. Recursive Lagrangian dynamics of flexible manipulator arms.
7. R. P. JUDD and D. R. FALKENBURG 1985 IEEE Transactions on Automatic Control AC-30, 499-502. Dynamics of nonrigid articulated robot linkages.
8. F. MATSUNO and Y. SAKAWA 1990 Journal of Robotic Systems 7, 575-597. A simple model of flexible manipulators with six axes and vibration control by using accelerometers.
9. C. J. LI and T. S. SANKAR 1992 Journal of Robotic Systems 9, 861-891. A systematic method of dynamics for flexible robot manipulators.
10. L. CHEN 1995 PhD Thesis, Wayne State University, Detroit. Dynamic modeling and active control of the torsional and transverse vibrations of flexible spherical robotic manipulators.
11. S. P. BHAT and D. K. MIU 1990 ASME Journal of Dynamic Systems, Measurement, and Control 112, 667-674. Precise point-to-point positioning control of flexible structures.
12. A. AZHDARI, N. G. CHALHOUB and F. GORDANINEJAD 1991 Journal of Nonlinear Dynamics 2, 171-186. Dynamic modeling of a revolute-prismatic flexible robot arm fabricated from advanced composite materials.
13. S. CETINKUNT and S. WU 1991 International Journal of Control 53, 311-333. Output predictive adaptive control of a single-link flexible arm.
14. Y. K. KIM and J. GIBSON 1991 IEEE Transactions on Robotics and Automation 7, 818-827. A variable-order adaptive controller for a manipulator with a sliding flexible link.
15. N. G. CHALHOUB and X. ZHANG 1993 ASME Journal of Dynamic Systems, Measurement and Control 115, 658-666. Reduction of the end effector sensitivity to the structural deflections of a single flexible link: theoretical and experimental results.
16. Y. SAKAWA and Z. H. LUO 1989 IEEE Transactions on Automatic Control 34, 970-977. Modeling and control of coupled bending and torsional vibrations of flexible beams.
17. S. TIMOSHENKO, D. H. YOUNG and W. J. R. WEAVER 1974 Vibration Problems in Engineering. New York: John Wiley & Sons; fourth edition.
18. J. J. D'AZZO and C. H. HOUPIS 1988 Linear Control System Analysis and Design: Conventional and Modern. New York: McGraw-Hill; third edition.