Forced torsional and extensional motions and static strength of rotating, tapered, filament-wound composite shafts subject to deflection-dependent cutting forces typical of end-milling and boring operations are studied. The general Galerkin method is used to satisfy spatial dependence in the equations of motion and direct numerical integration is used to determine the system’s response. The maximum stress criterion is used to investigate static failure.

1.
Kim
,
W.
,
Argento
,
A.
, and
Scott
,
R. A.
,
1999
, “
Free Vibration of a Rotating Tapered Composite Timoshenko Shaft
,”
J. Sound Vib.
,
226
, pp.
125
147
.
2.
Kim, W., Argento, A., and Scott, R. A., 1999, “Forced Vibration and Dynamic Stability of a Rotating Tapered Composite Timoshenko Shaft,” ASME Design Engineering Technical Conferences DETC99/VIB-8145, September 12–15, Las Vegas, Nevada.
3.
Elwany
,
M. H. S.
, and
Barr
,
A. D. S.
,
1978
, “
Some Optimization Problems in Torsional Vibration
,”
J. Sound Vib.
,
57
, pp.
1
33
.
4.
Baker, J. R., and Rouch, K. E., 1993, “Torsional Vibration Analysis of Shafts with Sections of Tapered Diameter,” ASME Design Technical Conferences, Vibration of Rotating Systems, Albuquerque, New Mexico, September 19–22, DE-Vol. 60, pp. 55–65.
5.
Greenhill
,
L. M.
,
Bickford
,
W. B.
, and
Nelson
,
H. D.
,
1985
, “
A Conical Beam Finite Element for Rotor Dynamics Analysis
,”
Journal of Vibration, Acoustics, Stress, and Reliability in Design
,
107
, pp.
421
430
.
6.
Taber
,
L. A.
, and
Viano
,
D. C.
,
1982
, “
Comparison of Analytical and Experimental Results for Free Vibration of Non-uniform Composite Beams
,”
J. Sound Vib.
,
83
, pp.
219
228
.
7.
Horgan
,
C. O.
, and
Baxter
,
S. C.
,
1996
, “
Effects of Curvilinear Anisotropy on Radially Symmetric Stresses in Anisotropic Linearly Elastic Solids
,”
J. Elast.
,
42
, pp.
31
48
.
8.
Tutuncu
,
N.
,
1995
, “
Radial Stresses in Composite Thick-Walled Shafts
,”
ASME J. Appl. Mech.
,
62
, pp.
547
549
.
9.
Zheng
,
L.
,
Chiou
,
Y. S.
, and
Liang
,
S. Y.
,
1996
, “
Three Dimensional Cutting Force Analysis in End Milling
,”
Int. J. Mech. Sci.
,
38
, pp.
259
269
.
10.
Smith
,
S.
, and
Tlusty
,
J.
,
1991
, “
An Overview of Modeling and Simulation of the Milling Process
,”
J. Eng. Ind.
,
113
, pp.
169
175
.
11.
Kim, W., 1999, “Vibration of a Rotating Tapered Composite Shaft and Applications to High Speed Cutting,” Ph.D. dissertation, University of Michigan, Ann Arbor, MI.
12.
Subramani
,
G.
,
Kapoor
,
S. G.
, and
DeVor
,
R. E.
,
1993
, “
A Model for the Prediction of Bore Cylindricity During Machining
,”
J. Eng. Ind.
,
115
, pp.
15
22
.
13.
Gibson, R. F., 1994, Principles of Composite Material Mechanics, McGraw-Hill, New York, Chapter 4.
14.
Lapp, C. K., 1998, “Design Allowables Substantiation,” in Handbook of Composites, S. T. Peters, ed., Chapman & Hall, New York, second ed., Chap. 33.
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