A higher-order parametric nonlinear reduced-order model for imperfect structures using Neumann expansion

We present an enhanced version of the parametric nonlinear reduced order model for shape imperfections in structural dynamics we studied a previous work [1]. The is computed intrusively and with no training using information about nominal geometry structure some user-defined displacement fields representing defects, i.e. small deviations from parametrized by their respective amplitudes. linear superposition these artificial displacements describe defected can be embedded strain formulation such way that, end, internal elastic forces expressed as polynomial function both defect actual field. This way, tensorial representation obtained and, owning reduction size given Galerkin projection, high simulation speed-ups achieved. show that adopting rigorous deformation framework are able to achieve better accuracy compared work. In particular, exploiting Neumann expansion definition Green-Lagrange tensor, our lower approximation respect one now. Two numerical examples clamped beam MEMS gyroscope finally demonstrate benefits method terms speed increased accuracy.