Reduced order modeling of nonlinear microstructures through Proper Orthogonal Decomposition

We apply the Proper Orthogonal Decomposition (POD) method for efficient simulation of several scenarios undergone by Micro-Electro-Mechanical-Systems, involving nonlinearites geometric and electrostatic nature. The former type nonlinearity, associated to large displacements devices, leads polynomial terms up cubic order that are reduced through exact projection onto a low-dimensional subspace spanned Modes (POMs). On contrary, nonlinearities modeled resorting precomputed manifolds in amplitudes electrically active POMs. extensively test reliability assumed linear trial space challenging applications focusing on resonators, micromirrors arches also displaying internal resonances. discuss options generate matrix snapshots using both classical time marching schemes more advanced Harmonic Balance (HB) approaches. Furthermore, we propose comparison between periodic orbits computed with POD invariant manifold approximated Direct Parametrization approaches, further stressing technique its remarkable predictive capabilities, e.g., estimation frequency response function selected output quantities interest.