Transverse vibrations of short beams: Finite element models obtained by a condensation method

Journal of Sound and Vibration

Volumn 201, Issue 3, 1997, Pages 353-363

  Corn, S ^a   Bouhaddi, N ^a   Piranda, J ^a  

^a UFR Sciences et Techniques   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STIFFNESS; VIBRATIONS (MECHANICAL);

GUYAN CONDENSATION; TIMOSHENKO BEAM THEORY;

BEAMS AND GIRDERS;

EID: 0031550962     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0766     Document Type: Article

References (14)

1. S. P. TIMOSHENKO 1922 Philosophical Magazine 43, 125-131. On the transverse vibrations of bars of uniform cross sections.
2. D. GAY 1979 Ph.D. Thesis; University of Toulouse, France. Influence des effets secondaires sur les vibrations de flexion et de torsion des poutres.
3. R. DAVIS, R. D. HENSHELL and G. B. WARBURTON 1972 Journal of Sound and Vibration 22, 475-487. A Timoshenko beam element.
4. R. J. GUYAN 1965 American Institute of Aeronautics and Astronautics Journal 3, 380. Reduction of stiffness and mass matrices.
5. S. P. TIMOSHENKO 1921 Philosophical Magazine 41, 744-746. On the correction for shear of the differential equation for transverse vibrations of prismatic bars.
6. G. R. COWPER 1966 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 33, 335-340. The shear coefficient in Timoshenko's beam theory.
7. A. E. H. LOVE 1952 A Treatise on the Mathematical Theory of Elasticity. Cambridge: Cambridge University Press.
8. N .G. STEPHEN 1978 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 45, 695-697. On the variation of Timoshenko's shear coefficient with frequency.
9. J. R. HUTCHINSON 1981 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 48, 923-928. Transverse vibrations of beams, exact versus approximate solutions.
10. T. C. HUANG 1961 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 28, 579-584. The effect or rotary inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions.
11. J. S. PREZEMIENEICKI 1968 Theory of Matrix Structural Analysis. New York: McGraw-Hill.
12. D. L. THOMAS, J. M. WILSON and R. R. WILSON 1973 Journal of Sound and Vibration 31, 315-330. Timoshenko beam finite elements.
13. Z. FRIEDMAN and J. B. KOSMATKA 1993 Computers and Structures 47, 473-481. An improved two-node Timoshenko beam finite element.
14. N. BOUHADDI and R. FILLOD 1992 Computers and Structures 45, 941-946. A method for selecting master degrees of freedom in dynamic substructuring using the Guyan condensation menthod.