Stiff-string basis functions for vibration analysis of high speed rotating beams

Journal of Applied Mechanics, Transactions ASME

Volumn 75, Issue 2, 2008, Pages 0245021-0245025

  Gunda, Jagadish Babu ^a   Ganguli, Ranjan ^a,b  

^a ASME

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Basis function; Finite element method; Free vibration; Rotating beams; String

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FINITE ELEMENT METHOD; FUNCTION EVALUATION; NATURAL FREQUENCIES; SHAFTS (MACHINE COMPONENTS); SPEED;

BASIS FUNCTIONS; CENTRIFUGAL STIFFENING; CONVERGENCE (MATHEMATICS); EXACT SOLUTIONS; FINITE ELEMENT (FE); HIGH SPEED ROTATING; ROTATING BEAMS; ROTATION SPEEDS; SHAPE FUNCTIONS;

ROTATION;

EID: 47049100702     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2775497     Document Type: Article

References (6)

1. Hodges, D. J., and Rutkowsky, M. J., 1981, "Free Vibration Analysis of Rotating Beams by a Variable Order Finite Element Method," AIAA J., 19(11), pp. 1459-1466.
2. Pesheck, E., Pierre, C., and Shaw, S. W., 2002, "Modal Reduction of a Non-linear Rotating Beam Through Nonlinear Normal Modes," ASME J. Vibr. Acoust., 124(2), pp. 229-236.
3. Chakraborty, A., Gopalakrishnan, S, and Reddy, J. N., 2003, "A New Beam Finite Element for the Analysis of Functionally Graded Materials," Int. J. Mech. Sci., 45(3), pp. 519-539.
4. Fletcher, H., 1964, "Normal Vibration Frequencies of a Stiff String," J. Acoust. Soc. Am., 36(1), pp. 203-210.
5. Wright, A. D., Smith, C. E., Thresher, R. W., and Wang, J. L. C., 1982, "Vibration Modes of Centrifugally Stiffened Beams," J. Appl. Mech., 49(2), pp. 197-202.
6. Wang, G., and Wereley, N. M., 2004, "Free Vibration Analysis of Rotating Blades with Uniform Tapers," AIAA J., 42(12), pp. 2429-2437.