Experiments on snap buckling, hysteresis and loop formation in twisted rods |
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| Authors: | V G A Goss G H M van der Heijden J M T Thompson S Neukirch |
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| Institution: | (1) Centre for Nonlinear Dynamics, University College London, Gower Street, WC1E 6BT London, UK;(2) currently at London South Bank University, Borough Road, SE1 OAA London, UK |
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| Abstract: | We give the results of large deflection experiments involving the bending and twisting of 1 mm diameter nickel-titanium alloy
rods, up to 2 m in length. These results are compared to calculations based on the Cosserat theory of rods. We present details
of this theory, formulated as a boundary value problem. The mathematical boundary conditions model the experimental setup.
The rods are clamped in aligned chucks and the experiments are carried out under rigid loading conditions. An experiment proceeds
by either twisting the ends of the rod by a certain amount and then adjusting the slack, or fixing the slack and varying the
amount of twist. In this way, commonly encountered phenomena are investigated, such as snap buckling, the formation of loops,
and buckling into and out of planar configurations. The effect of gravity is discussed. |
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| Keywords: | Twisted rods rod experiments snap buckling loop formation snarling hockling welded boundary conditions nitinol bifurcation |
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