Tag: nonlinear dynamics
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ROM for large rotations in a MEMS micromirror
MEMS micromirrors are micro components used to deflect light rays in many applications, such as to build projectors. Mainly due to their large rotations, these devices exhibit a nonlinear behavior that challenges the construction of traditional nonlinear Reduced Order Models. In this thesis, the candidate will investigate the subject of large rotations (moving on from
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Parameter continuation of SSM for parametrized defects
In this project we aim to develop an analytic formulation for Spectral Submanifolds (SSMs) depending on a parameter. In particular, the focus is on a formulation for shape defects previously studied in Marconi et al., where a different MOR strategy was used. Indeed, the problem of shape defects is very important in the MEMS field industry,
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Adjoint formulation for backbone curve computation at arbitrary order
We have recently proposed a method to tailor the nonlinear response of a structure using Spectral Submanifolds (SSM, or Lyapunov Subcenter Manifolds – LSM) and an optimization procedure1. By defining a set of frequency-amplitude pairs we can fit the backbone curve of the system to these points. The computation of the sensitivities of the LSM,