Vibration eigenfrequency analysis of a single-link flexible manipulator

Journal of Sound and Vibration

Volumn 212, Issue 1, 1998, Pages 109-120

  Coleman, M P ^a  

^a FAIRFIELD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040712638     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1426     Document Type: Article

References (10)

1. F. BELLAZZA, L. LANARI and G. ULIVI 1990 IEEE Robotics and Automation Conference, Cincinnati, Ohio. Exact modelling of the flexible slewing link.
2. K. A. MORRIS and K. J. TAYLOR 1996 SIAM Review 38, 294-305. A variational approach to the modelling of flexible manipulators.
3. G. CHEN, S. G. KRANTZ, D. W. MA, C. E. WAYNE and H. H. WEST 1987 Operator Methods for Optimal Control Problems, Lecture Notes in Pure and Applied Mathematics 108, 67-96. The Euler-Bernoulli beam equation with boundary energy dissipation.
4. R. RIDEAU 1985 Thése L'École Nationale Superiere des Mines de Paris, Sophia-Antipolis, France. Controle d'un assemblage de poutres flexibles par der capteurs-actionneurs porctuels: étude du spectre du système.
5. J. B. KELLER and S. I. RUBINOW 1960 Annals of Physics 9, 24-75. Asymptotic solution of eigenvalue problems.
6. G. CHEN and J. ZHOU 1990 SIAM Journal of Applied Mathematics 50, 1254-1283. The wave propagation method for the analysis of boundary stabilization in vibrating structures.
7. G. CHEN, M. P. COLEMAN and J. ZHOU 1991 SIAM Journal of Applied Mathematics 51, 967-983. Analysis of vibration eigenfrequencies of a thin plate by Keller-Rubinow's wave method (I): clamped boundary conditions with rectangular or circular geometry.
8. G. CHEN and M. P. COLEMAN preprint. Improving low order eigenfrequency estimates derived from the wave propagation method for an Euler-Bernoulli beam.
9. H. KRISHNAN 1988 M.Sc. thesis, Department of Electrical Engineering, University of Waterloo, Ontario, Canada. Bounded-input discrete-times control of a single-link flexible beam.
10. K. F. GRAF 1991 Wave Motion in Elastic Solids. New York: Dover Publications.