A bernoulli-euler stiffness matrix approach for vibrational analysis of spinning linearly tapered beams

Proceedings of the ASME Turbo Expo

Volumn 4, Issue , 1997, Pages

  Hashemi, S M ^a   Richard, M J ^a   Dhatt, G ^b  

^a UNIVERSITÉ LAVAL   (Canada)

^b UNIVERSITÉ ET INSA DE ROUEN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AIRCRAFT ENGINES; BEAMS AND GIRDERS; GAS TURBINES; STIFFNESS; STIFFNESS MATRIX;

BISECTION METHOD; DYNAMIC FINITE ELEMENT; DYNAMIC STIFFNESS MATRIX; FREQUENCY DEPENDENT; SINGLE FREQUENCY; STIFFNESS PROPERTIES; TRIGONOMETRIC SHAPE FUNCTIONS; VIBRATIONAL ANALYSIS;

FINITE ELEMENT METHOD;

EID: 84973637705     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/97-GT-500     Document Type: Conference Paper

References (15)

1. Abrahamsson, TJS. and Sailstrom, JH., 1996, "A Spinning Finite Beam Element of General Orientation Analyzed With Rayleigh/Timoshenko/Saint-Venant Theory", Journal of Engineering for Gas Turbines Power-Transactions of The ASME, Vol. 118(1), JAN 90, pp. 86-94.
2. Akesson, B. A, 1976, "PFVIBAT-A Computer Program For Plane Frame Vibration Analysis By An Exact Method", International Journal for Numerical Methods in Engineering, Vol. 10, pp. 1221-1231.
3. Banerjee, J. R. and Fisher, S. A., 1992, "Coupled Bending-Torsional Dynamic Stiffness Matrix for Axially Loaded Beam Elements", International Journal for Numerical Methods in Engineering, Vol. 33, pp. 739-751.
4. Banerjee, J. R. and Williams F. W, (1985), "Exact Bernoulli-Euler Dynamic Stiffness Matrix for A Ringe of Tapered Beams", International Journal for Numerical Methods in Engineering, Vol. 21, pp. 2289-2302.
5. Bathe, K. J., 1982", Finite Element Procedure in Engineering Analysis", Englewood-Cliffs, N. J.: Prentice-Hall.
6. Dhatt, G. and Touzot, G., 1981, "Une Présentation de La Méthode Des Éléments Finis", Maloine S. A. Éditeur, Paris et Les presses De L'Université Laval, Québec, pp. 100-103.
7. Hashemi, S. M. and Richard, M. J. and Dhatt, G., 1996, "A Bernoulli-Euler Stiffness Matrix Approach for Vibrational Analysis of Linearly Tapered Beams", presented in Acoustics Week 1996, October 7-11, Calgary, Alberta.
8. Hodges, D. H. and Rutkowsld, M. J., 1981, "Free-Vibration Analysis of Rotating Beams by a Variable-Order Finite-Element Method", AIAA Journal, Vol. 19(11), pp. 1459-1466.
9. Howson W. P. and Williams F. W., (1973), "Natural Frequencies of Frames Axially Loaded Timoshenko Members", Journal of Sound and Vibratiou, Vol. 26(4), pp. 503-515.
10. Meirovitch, L., 1967, "Analytical Methods In Vibrations", Macmillan Publishing Co., Inc., New York/Colier Macmillan Publishers, London, pp. 443-453.
11. Przemieniecki, J. S., (1968), "Theory of Matrix Structural Analysis", McGraw-Hill Inc., NewYork, pp. 388-392.
12. Swannell, P., 1973, "The Automatic Computation of The Natural Frequencies of Structural Frames Using An Exact Matrix Technique", Theory and Practice in Finite Element Structural Analysis. U of Tokyo Press, pp. 289-304.
13. Cleghorn, W. L. and Tabarrok, B., 1992, "Finite Element Formulation of A Tapered Timoshenko Beam For Free Lateral Vibration Analysis", Journal of Sound and Vibration, Vol. 152(3), pp. 461-470.
14. Williams, F. W. and Wittrick, W. H., 1970, "An Automatic Computational Procedure for Calculating Natural Frequencies of Skeletal Structures", Interuational Journal of Mechanical Sciences, Vol. 12, pp. 781-791.
15. Wittrick, W. H. aud Williams, F. W., 1971, "A General Algorithm for Computing Natural Frequencies of Elastic Structures", Quarterly Journal of Mechanics and Applied Mathematics, Vol. 24, pp. 263-284.