A simplified theory for predicting the first-order critical speed of a shear deformable, composite-material driveshaft is presented. The shaft is modeled as a Bresse-Timoshenko beam generalized to include bending-twisting coupling. Numerical results are compared with those for both thin and thick walled shell theories and generalized Bernoulli-Euler theory.
Issue Section:
Research Papers
1.
Argento
A.
Scott
R. A.
1992
, “Dynamic Response of a Rotating Beam Subjected to an Accelerating Distributed Surface Force
,” Journal of Sound and Vibration
, Vol. 157
, pp. 221
–231
.2.
Bert, C. W., 1993, “The Effect of Bending-Twisting Coupling on the Critical Speed of a Driveshaft,” Proceedings, 6th Japan-U.S, Conference on Composite Materials, Orlando, FL, 1992, Technomic, Lancaster, PA, pp. 29–36.
3.
Chang, S., and Bert, C. W., 1972, “Analysis of Damping for Filamentary Composite Materials,” Composite Materials in Engineering Design (Proc. 6th St. Louis Symposium), American Society for Metals, Metals Park, OH, pp. 51–52.
4.
Chen
L. W.
Ku
D. M.
1991
, “Finite Element Analysis of Natural Whirl Speeds of Rotating Shafts
,” Computers & Structures
, Vol. 40
, pp. 741
–747
.5.
Choi
S. H.
Pierre
C.
Ulsoy
A. G.
1992
, “Consistent Modeling of Rotating Timoshenko Shafts Subject to Axial Loads
,” ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol. 114
, pp. 249
–259
.6.
Curti
F.
Raffa
F. A.
Vatta
F.
1992
, “Unbalance Response of Rotor Systems by the Dynamic Stiffness Method
,” Mechanics Research Communications
, Vol. 19
, pp. 351
–359
.7.
Dharmarajan
S.
McCutchen
H.
1973
, “Shear Coefficients for Orthotropic Beams
,” Journal of Composite Materials
, Vol. 7
, pp. 530
–535
.8.
Dimentberg, F. M., 1961, Flexural Vibrations of Rotating Shafts, English translation of 1959 Russian edition, Butterworths, London, Chap. 11.
9.
dos Reis
H. L. M.
Goldman
R. B.
Verstrate
P. H.
1987
, “Thin-Walled Laminated Composite Cylindrical Tubes; Part III—Critical Speed Analysis
,” Journal of Composites Technology and Research
, Vol. 9
, pp. 58
–62
.10.
Eshleman
R. L.
Eubanks
R. A.
1969
, “On the Critical Speeds of a Continuous Rotor
,” ASME Journal of Engineering for Industry
, Vol. 91
, pp. 1180
–1188
.11.
Faust
H.
Mack
J.
Spencer
B.
1984
, “A Composite Rotor Shaft for the Chinook
,” Journal of the American Helicopter Society
, Vol. 29
, pp. 54
–58
.12.
Han
R. P. S.
Zu
J. W. Z.
1993
, “Analytical Dynamics of a Spinning Timoshenko Beam Subjected to a Moving Load
,” Journal of the Franklin Institute
, Vol. 330
, pp. 113
–129
.13.
Katz
R.
Lee
C. W.
Ulsoy
A. G.
Scott
R. A.
1988
, “The Dynamic Response of a Rotating Shaft Subject to a Moving Load
,” Journal of Sound and Vibration
, Vol. 122
, pp. 131
–148
.14.
Kim
C. D.
Bert
C. W.
1992
, “Critical Speed Analysis of Laminated Composite Driveshafts
,” presented at the 29th Annual Technical Meeting, Society of Engineering Science, La Jolla, CA, also Composites Engineering
, Vol. 3
, pp. 633
–643
.15.
Knight
M.
1982
, “Three-Dimensional Elastic Moduli of Graphite/Epoxy Composites
,” Journal of Composite Materials
, Vol. 16
, pp. 153
–159
.16.
Laura
P. A. A.
Maurizi
M. J.
Rossi
R. E.
1990
, “A Survey of Studies Dealing with Timoshenko Beams
,” Shock and Vibration Digest
, Vol. 22
, No. 11
, pp. 3
–10
.17.
Lekhnitskii, S. G., 1963, Theory of Elasticity of an Anisotropic Body, English translation, Holden Day, San Francisco.
18.
Nelson
H. D.
1980
, “A Finite Rotating Shaft Element Using Timoshenko Beam Theory
,” ASME Journal of Mechanical Design
, Vol. 102
, pp. 793
–803
.19.
O¨zgu¨ven
H. N.
O¨zkan
Z. L.
1984
, “Whirl Speeds and Unbalance Response of Multibearing Rotors Using Finite Elements
,” ASME JOURNAL OF VIBRATION, ACOUSTICS, STRESS AND RELIABILITY IN DESIGN
, Vol. 106
, pp. 72
–79
.20.
Pedersen
P. T.
1972
, “On Forward and Backward Precession of Rotors
,” Ingenieur-Archiv
, Vol. 42
, pp. 26
–41
.21.
Porat
I.
Niv
M.
1971
, “Vibration of a Rotating Shaft by the ‘Timoshenko Beam’ Theory
,” Israel Journal of Technology
, Vol. 9
, pp. 535
–546
.22.
Zinberg, H., and Symonds, M. F., 1970, “The Development of an Advanced Composite Tail Rotor Driveshaft,” presented at the 26th Annual Forum of the American Helicopter Society, Washington, DC.
23.
Zu
J. W. Z.
Han
R. P. S.
1992
, “Natural Frequencies and Normal Modes of a Spinning Timoshenko Beam with General Boundary Conditions
,” ASME Journal of Applied Mechanics
, Vol. 59
, pp. S197–S204
S197–S204
.
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