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Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation |
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| Authors: | Anastasia B Sotiropoulou Dimitrios E Panayotounakos |
| Institution: | a A.S.PE.T.E. School of Pedagogical and Technological Education, N. Heraklion GR 141-21, Athens, Greece b National Technical University of Athens, Zographou GR 157-73, Athens, Greece |
| Abstract: | We succeed in constructing exact parametric analytic solutions for the non-linear ordinary differential equations governing the elastica response of a cantilever due to a generalized end loading by taking into account the effects of transverse deformation. Application to the case of the eccentric buckling of a cantilever by taking into account the above influences is developed. |
| Keywords: | Elastica Buckling Exact parametric solutions Non-linear ODEs |
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