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, as defects have a deep impact on the performances of sensors, both at linear and nonlinear level.
A shape-parametric SSM would help in the statistic prediction of the sensor performances and their sensibility to defects.
Tools
References
Marconi, J., Tiso, P., Quadrelli, D.E. et al. A higher-order parametric nonlinear reduced-order model for imperfect structures using Neumann expansion. Nonlinear Dyn 104, 3039–3063 (2021). https://doi.org/10.1007/s11071-021-06496-y