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.
Issue Section:
Brief Notes
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
.Copyright © 2004
by ASME
You do not currently have access to this content.