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Waves in metamaterials and periodic structures

Lecturers: Oreste S. Bursi (UNITN/DICAM), Francesco Dal Corso (UNITN/DICAM), Vinicius Fonseca Dal Poggetto (UNITN/DICAM), Giacomo Oliveri (UNITN/DICAM) and Andrea Massa (UNITN/DICAM)

Timetable: 17 - 19 April 2024 - the course will be offered in a blended format, in presence in room 1H (DICAM) and online (the Zoom link will be snet to all the registered students before the course starting).


17/04/2024 - Prof. Francesco Dal Corso and Dr. Vinicius Fonseca Dal Poggetto – 6 hours (9-12 and 1 p.m. - 4. p.m.)

Prof. Francesco Dal Corso 

Introduction to mechanical waves propagation in continuous and discrete systems
- One-dimensional longitudinal mechanical wave equation
- Discrete one-dimensional systems (monoatomic, diatomic, and monoatomic resonant chains)
- Out-of-plane dynamics of planar discrete systems

Dr. Vinicius Fonseca Dal Poggetto

1 Basic concepts on wave propagation
1.1 Non-dispersive waves and phase velocity
1.2 Dispersive waves and group velocity
1.3 Wave interaction
1.4 Periodic one-dimensional medium
2 One-dimensional wave propagation
2.1 Longitudinal wave propagation
2.2 Transfer matrix method
2.3 Transverse wave propagation
2.4 Finite elements with periodic boundary conditions 2.5 Plane wave
expansion method
3 Two-dimensional wave propagation in plate structures
3.1 Generalized periodic media
3.2 Bloch’s theorem
3.3 Plane wave expansion applied to plates 3.4 Finite element formulation
4 Acoustic application of metamaterial plates

18/04/2024 - Prof. Giacomo Oliveri and Prof. Andrea Massa – 4 hours (2-6 p.m.)

Prof. Andrea Massa

  • The nature of Electromagnetic Waves – Maxwell’s Equations and the EM Wave Equation
  • Canonical Solutions to Maxwell’s Equations: Plane Waves in Homogeneous Media
  • Waves and planar interfaces? The Snell’s Laws

Prof. Giacomo Oliveri

  • Periodic and Quasi-Periodic Metamaterials: concept, design, implementation
  • Waves and Metamaterials - the Generalized Snell’s Laws
  • Applications of Generalized Snell’s Laws to Wave Control in EM Systems

19/04/2024 - Prof. Oreste S. Bursi – 6 hours (9-12 and 1 p.m. - 4. p.m.)

Metastructures for seismic vibration mitigation of process plant components
Metamaterial and metastructure concepts
Modeling and machine learning
Structural (passive) control
Random vibrations
Attenuation and non attenuation zones
Nonlinear issues: bistable, quasi-zero stiffness devices. Shaking table experiments
Vibration mitigation of liquid storage tanks
Vibration mitigation of small modular reactors

Duration: 16 hours (2 credits)

Registration: in order to register for the course please send an email to dicamphd [at]