A root-finding technique to compute eigenfrequencies for elastic beams

Journal of Sound and Vibration

Volumn 284, Issue 3-5, 2005, Pages 1119-1129

  Moreles, Miguel Angel ^a   Botello, Salvador ^a   Salinas, Rogelio ^b  

^a CENTRO DE INVESTIGACIÓN EN MATEMÁTICAS   (Mexico)

^b Universidad Autonoma de   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLIFICATION; BENDING (DEFORMATION); EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; FINITE ELEMENT METHOD; FUNCTIONS; NATURAL FREQUENCIES; PERTURBATION TECHNIQUES; STRUCTURAL DESIGN;

EIGENFREQUENCY; ELASTIC BEAMS; ELASTICITY THEORY; RAYLEIGH EQUATION; ROTARY INERTIA;

BEAMS AND GIRDERS;

EID: 18444408698     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.07.028     Document Type: Article

References (6)

1. R.W. Traill-Nash, A.R. Collar, The effects of shear flexibility and rotatory inertia on the bending vibrations of beams, Quarterly Journal of Mechanics and Applied Mathematics VI (Pt.2) (1953).
2. D.L. Russell, Mathematical models for the elastic beam and their control-theoretic implications, in: H. Brezis, M.G. Crandall, F. Kappel (Eds.), Semigroups, Theory and Applications, Vol. II, Longman, New York, 1986, pp. 177-216.
3. N.G. Stephen Considerations on second order beam theories International Journal of Solids and Structures 117 1981 325 333
4. G. Chen, and M.P. Coleman Improving low order eigenfrequency estimates derived from the wave propagation method for an Euler-Bernoulli beam Journal of Sound and Vibration 204 4 1997 696 704
5. M.A. Moreles, S. Botello, R. Salinas, Computation of eigenfrequencies for elastic beams, a comparative approach, Internal Report No. I-03-09/25-04-2003 (CC/CIMAT), 2003, http://www.cimat.mx/biblioteca/RepTec/
6. B. Geist, and J.R. McLaughlin Asymptotic formulas for the eigenvalues of the Timoshenko beam Journal of Mathematical Analysis and Applications 253 2 2001 341 380