Critical Force in the Buckling of Drill Bits

[+] Author and Article Information
L. E. Bobisud, C. O. Christenson

Department of Mathematics, University of Idaho, Moscow, Idaho 83843

J. Appl. Mech 46(2), 461-462 (Jun 01, 1979) (2 pages) doi:10.1115/1.3424574 History: Received October 01, 1978; Revised January 01, 1979; Online July 12, 2010


We consider a fourth-order nonlinear system of differential equations that describe the slope of a steadily rotating flexible rod, one end of which is clamped, and the other end of which is “hinged.” There is a force directed along the length of the rod. We graph against speed of rotation the maximum force that can be applied before buckling occurs, using linearized equations.

Copyright © 1979 by ASME
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