A MATHEMATICAL-MODEL AND ANALYTICAL SOLUTION FOR BUCKLING OF INCLINEDBEAM-COLUMNS

The differential equation that governs the buckling behavior of an inc lined beam-column is obtained using the energy method, and the use of a suitable change of variable reduces the various geometrical and phys ical parameters into a single dimensionless length parameter (X). An e xact solution is presented via the use of some members of the family o f generalized hypergeometric functions. One type of boundary condition (pinned-ends) is presented and analyzed, and others boundary conditio ns may be easily studied following the same process. The analysis show s the singular behavior of the inclined beam-column and demonstrates t he procedure used to obtain the critical values of the axial force. An important application of this model is its usefulness in the analysis of buckling of drillstrings within curved boreholes. (C) 1998 Elsevie r Science Inc. All rights reserved.