Comprehensive mathematicaI modelling of a transversely vibrating flexible link robot manipulator carrying a tip payload

[1]  Guanrong Chen,et al.  Mathematical modeling and fuzzy control of a flexible-link robot arm , 1998 .

[2]  Paul J. A. Lever,et al.  Dynamic effects of rotatory inertia and shear deformation on flexible manipulators , 1996, 1996 IEEE International Conference on Systems, Man and Cybernetics. Information Intelligence and Systems (Cat. No.96CH35929).

[3]  Guanrong Chen,et al.  Mathematical modeling for kinematics and dynamics of certain single flexible-link robot arms , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[4]  D. H. S. Maithripala,et al.  A SERIES EXPANSION APPROACH TO INTERPRETING THE SPECTRA OF THE TIMOSHENKO BEAM , 2001 .

[5]  R. H. Cannon,et al.  Initial Experiments on the End-Point Control of a Flexible One-Link Robot , 1984 .

[6]  S. Timoshenko,et al.  X. On the transverse vibrations of bars of uniform cross-section , 1922 .

[7]  N. G. Stephen,et al.  The second frequency spectrum of Timoshenko beams , 1982 .

[8]  Carlos Canudas de Wit,et al.  Theory of Robot Control , 1996 .

[9]  Alessandro Macchelli,et al.  Modeling and Control of the Timoshenko Beam. The Distributed Port Hamiltonian Approach , 2004, SIAM J. Control. Optim..

[10]  R. M. Hirschorn,et al.  Tracking control of a flexible robot link , 1988 .

[11]  Peter Eberhard,et al.  DYNAMIC ANALYSIS OF FLEXIBLE MANIPULATORS, A LITERATURE REVIEW , 2006 .

[12]  Youdan Kim,et al.  Introduction to Dynamics and Control of Flexible Structures , 1993 .

[13]  Solution of the initial-boundary value problem for the simply supported semi-infinite Timoshenko beam , 1996 .

[14]  Bruce Geist,et al.  Asymptotic Formulas for the Eigenvalues of the Timoshenko Beam , 2001 .

[15]  Haim Baruh,et al.  Issues in the dynamics and control of flexible robot manipulators , 1989 .

[16]  M. Vidyasagar,et al.  Control of a single-link flexible beam using a Hankel-norm-based reduced order model , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[17]  T. Huang,et al.  The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions , 1961 .

[18]  L. Rayleigh,et al.  The theory of sound , 1894 .

[19]  Wayne J. Book,et al.  A linear dynamic model for flexible robotic manipulators , 1987 .

[20]  W. E. Baker,et al.  Air and internal damping of thin cantilever beams , 1967 .

[21]  Harvey Thomas Banks,et al.  Smart material structures: Modeling, estimation, and control , 1996 .

[22]  N. G. Stephen,et al.  The second spectrum of Timoshenko beam theory - Further assessment , 2006 .

[23]  Yueh-Jaw Lin,et al.  Comprehensive modeling for simultaneous position and force control of deformable manipulators , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[24]  Wayne J. Book,et al.  Controlled Motion in an Elastic World , 1993 .

[25]  Giovanni Ulivi,et al.  Exact modeling of the flexible slewing link , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[26]  Hideaki Kanoh,et al.  Vibration control of one-link flexible arm , 1985, 1985 24th IEEE Conference on Decision and Control.

[27]  M. M. Bayoumi,et al.  Modelling and control of flexible manipulators-revisited , 1993, Proceedings of 36th Midwest Symposium on Circuits and Systems.

[28]  Clark R. Dohrmann,et al.  Flexible Robot Dynamics and Controls , 2001 .

[29]  C. Dolph.  On the Timoshenko theory of transverse beam vibrations , 1954 .

[30]  Daniel J. Inman,et al.  On damping mechanisms in beams , 1991 .

[31]  Sabri Cetinkunt,et al.  Closed-Loop Behavior of a Feedback-Controlled Flexible Arm: A Comparative Study , 1991, Int. J. Robotics Res..

[32]  G. R. Heppler,et al.  A Timoshenko model of a flexible slewing link , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[33]  H. Benaroya,et al.  DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES , 1999 .

[34]  Daniel J. Inman,et al.  Bending and shear damping in beams: Frequency domain estimation techniques , 1991 .