Improving low order eigenfrequency estimates derived from the wave propagation method for an Euler-Bernoulli beam

Journal of Sound and Vibration

Volumn 204, Issue 4, 1997, Pages 696-704

  Chen, G ^a   Coleman, M P ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b FAIRFIELD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042583804     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.0970     Document Type: Editorial

References (9)

1. 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.
2. J. B. KELLER and S. I. RUBINOW 1960 Annals of Physics 9, 24-75. Asymptotic solution of eigenvalue problems.
3. 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.
4. 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.
5. D. GOTTLIEB and S. G. ORSZAG 1977 Numerical Analysis of Spectral Methods, Theory and Applications. Philadelphia: SIAM.
6. G. CHEN and J. ZHOU 1993 Vibration and Damping in Distributed Systems, Volume II: WKB and Wave Methods, Visualization and Experimentation. Boca Raton, Florida: CRC Press.
7. K. F. GRAF 1991 Wave Motion in Elastic Solids. New York: Dover.
8. D. YOUNG and R. P. FELGAR, JR. 1949 The University of Texas Publication, Engineering Research Series No. 44. Tables of characteristic functions representing normal modes of vibration of a beam.
9. M. P. COLEMAN 1997 Preprint. Vibration eigenfrequency analysis of a single-link flexible manipulator.