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| Geometrically nonlinear model and numerical simulation of elastic curved beams subjected to mechanical and thermal loads |
| Received:April 07, 2006 Revised:September 25, 2006 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20081008 |
| KeyWord:elastic beam,geometric nonlinearity,stretching-bending coupling,follower force,shooting method |
| LI Shi-rong ZHOU Feng-xi |
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| Abstract: |
| Based on an exact geometrically nonlinear theory of Euler-Bernoulli beams,geometrically nonlinear static equilibrium governing equations of the large deformation of elastic curved beams under mechanical and thermal loads are derived.The equations contain seven independent unknown functions such as the arc length,the displacements of the central line,the rotational angle and the resultant internal forces at a cross section.By introducing the deformed arc length as one of the unknown functions,it makes the range of the spatial variables of the problem still within the undeformed length of the beam.In the mathematical model,the effects of the axial elongation,the initial curvature,and the stretching-bending coupling on the beam deformation are accurately taken into account.As a numerical example,nonlinear bending of a semicircle beam subjected to transversely uniform temperature rise is studied by shooting method.The influence of axial extension on the deformation of curved beam is compared with that being neglected through numerical results. |
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