Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (9): 1111-1118.

• Articles • Previous Articles    

POST-BUCKLING OF A CANTILEVER ROD WITH VARIABLE CROSS-SECTIONS UNDER COMBINED LOAD

WU Ying, LI Shi-rong, TENG Zhao-chun   

  1. School of Sciences, Lanzhou University of Technology, Lanzhou 730050, P. R. China
  • Received:2001-06-28 Revised:2003-05-28 Online:2003-09-18 Published:2003-09-18
  • Supported by:

    the Basic Research Program of National Science and Technology Ministry (2001CCA04300)

Abstract: Based on the geometrically nonlinear theory of axially extensible elastic rods, the governing equations of post-buckling of a clamped-free rod with variable cross-sections, subjected to a combined load, a concentrated axial load P at the free end and a non-uniformly distributed axial load q, are established.By using shooting method, the strong nonlinear boundary value problems are numerically solved. The secondary equilibrium paths and the post-buckling configurations of the rod with linearly varied cross-sections are presented.

2010 MSC Number: 

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