Abstract
We present a finite element based reduction method for the dynamic analysis of general slender structures, with a special emphasis on imperfection-sensitive structures. The addition of second order fields resulting from a perturbation analysis to a reduced basis consisting of eigenmodes is shown to be an eective approach for achieving accuracy when reducing a nonlinear dynamical system. In order to achieve a certain accuracy, it is often necessary to recompute the basis on the current configuration at certain time increments. In the present analysis, instead of updating the basis, an interpolation of the vibration modes calculated at dierent static load levels is employed. Comparisons with full finite element nonlinear dynamic analysis show a good agreement in the structural response for dierent applied dynamic loads.
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