The difference equations governing the rotation of a segmented rod under axial force is formulated. The stability boundaries are found to be highly dependent on the number of links, the rotation rate and the compressive force. For a large number of links, the result approaches to that of the continuous elastic rod through some fractional power. The analysis is applicable to segmented drill shafts.

1.
Love, A. E. H., 1944, A Treatise on the Mathematical Theory of Elasticity, 4th Ed., Dover, New York.
2.
Odeh
,
F.
, and
Tadjbakhsh
,
I.
,
1965
, “
A Nonlinear Eigenvalue Problem for Rotating Rods
,”
Arch. Ration. Mech. Anal.
,
20
, pp.
81
94
.
3.
Bobisud
,
L. E.
, and
Christenson
,
C. O.
,
1979
, “
Critical Force in the Buckling of Drill Bits
,”
ASME J. Appl. Mech.
,
46
, pp.
461
462
.
4.
Wang
,
C. Y.
,
1993
, “
The Axially Rotating Segmented Rod
,”
Int. J. Solids Struct.
,
30
, pp.
2437
2444
.
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