Free vibrations of timoshenko beams carrying elastically mounted, concentrated masses

Journal of Sound and Vibration

Volumn 165, Issue 2, 1993, Pages 209-223

  Rossi, R E ^a   Laura, P A A ^b   Avalos, D R ^c   Larrondo, H ^c  

^a UNIVERSIDAD NACIONAL DEL SUR   (Argentina)

^b Institute of Applied Mechanics Bahia Blanca   (Argentina)

^c UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; VIBRATIONS (MECHANICAL);

CONCENTRATED MASSES; FREE VIBRATIONS; TIMOSHENKO BEAMS;

BEAMS AND GIRDERS;

EID: 0027912122     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1006/jsvi.1993.1254     Document Type: Article

References (14)

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2. E. Goldfracht and G. Rosenhouse 1984 Journal of Sound and Vibration 92, 83-93. Use of Lagrange multipliers with polynomial series for dynamic analysis of constrained plates, part I: polynomial series.
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7. S. Timoshenko 1921 Philosophical Magazine 41, 744-746. On the correction for shear of the differential equations for transverse vibration of prismatic bars.
8. R. A. Anderson 1953 Journal of Applied Mechanics 20, 504-510. Flexural vibration in uniform beams according to the Timoshenko theory.
9. T. C. Huang 1961 Journal of Applied Mechanics 28, 579-584. The effect of rotary inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions.
10. P. A.A. Laura, R. E. Rossi and M. J. Maurizi 1990 Journal of Biomedical Engineering 12, 157-160. Dynamic analysis of a simplified bone model during the process of fracture healing.
11. R. E. Rossi and P. A. A. Laura 1990 Journal of Sound and Vibration 143, 491-502. A note on transverse vibrations of a Timoshenko beam of non-uniform thickness clamped at one end and carrying a concentrated mass at the other.
12. P. A. A. Laura, R. E. Rossi, J. L. Pombo and D. Pasqua 1991 Journal of Sound and Vibration 150, 174-178. Dynamic stiffening of straight beams of rectangular cross section: a comparison of finite element predictions and experimental results.
13. J. S. Przemieniecki 1968 Theory of Matrix Structural Analysis. New York: McGraw-Hill.
14. M. J. Maurizi and P. M. Belles 1991 Journal of Sound and Vibration 150, 330-334. Natural frequencies of beam-mass system: comparison of the two fundamental theories of beam vibrations.