Objectives and main tasks
The objective of the internship is to model and simulate the vibroacoustic behavior of quasiperiodic nonlinear metastructures by combining two properties: (i) near-periodicity which enables to confine the energy close to the imperfections and (ii) distributed or localized nonlinearities allowing the creation of multimode solution branches to enlarge the frequency bandwidth and formation of solitons for energy transport improvement. These properties will be exploited to establish design rules for the implementation of a vibroacoustic energy harvester.

The internship
program includes the main following tasks:
1- Establish the dynamic continuum model of a nonlinear VEH based on periodic metastructures with imperfections (quasiperiodic).
2- Derive the discrete elementary equivalent model (spring-mass-damper) of the periodic/quasiperiodic system including localized or distributed nonlinearities.
3- Transform the discrete model into a nonlinear Schrödinger equation to determine the intrinsic localized modes (solitons).
4- Establish the link between the solutions of Schrödinger equation and the solutions of the discrete model.
5- Establish some design rules for a VEH implementation.

Duration
6 months from 01/02/2020 (or 01/03/2020) to 31/07/2020 (or 31/08/2020)