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Post-buckling of a cantilever rod with variable cross-sections under combined load |
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| Authors: | Wu Ying Li Shi-rong Teng Zhao-chun |
| Affiliation: | School of Sciences, Lanzhou University of Technology, Lanzhou 730050, P. R. China |
| 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. |
| Keywords: | rod with variable cross_section axial extensibility post_buckling shooting method numerical solution |
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