A mathematical model and analytical solution for buckling of inclined beam-columns

被引：29
作者：
Sampaio, JHB
Hundhausen, JR
机构：
[1] PETROBRAS, BR-20035900 Rio De Janeiro, Brazil
[2] Colorado Sch Mines, Dept Math & Comp Sci, Golden, CO 80401 USA
来源：
APPLIED MATHEMATICAL MODELLING | 1998年 / 22卷 / 06期
关键词：
hypergeometric functions; airy's equation; buckling; inclined beam-column; energy method;
D O I：
10.1016/S0307-904X(98)10014-8
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The differential equation that governs the buckling behavior of an inclined beam-column is obtained using the energy method, and the use of a suitable change of variable reduces the various geometrical and physical parameters into a single dimensionless length parameter (X). An exact solution is presented via the use of some members of the family of generalized hypergeometric functions. One type of boundary condition (pinned-ends) is presented and analyzed, and others boundary conditions may be easily studied following the same process. The analysis shows the singular behavior of the inclined beam-column and demonstrates the 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 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：405 / 421
页数：17
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