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Comparison of Reduction Methods for Finite Element Geometrically Nonlinear Beam Structures

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Academic year: 2021

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Figure

Figure 1 shows the hardening/softening regions for the first three modes of the beam as predicted by the different methods proposed in the parameter space ( α 2 , α 3 )
Figure 2. Backbone curves for the linear beam on a nonlinear elastic foundation. (a) Second mode, α 2 = 12, α 3 = 0.5, (b) third mode, α 2 = 12, α 3 = 3, (c) third mode, α 2 = 12, α 3 = 0.5
Figure 4 shows the nonlinear relationship found by applying a static load of amplitude β on the first bending mode and its fitting by polynomial laws of orders 3, 5, and 7
Figure 5. The backbone curves for (a) the straight beam, (b) the shallow arch, and (c) the non-shallow arch
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