Wave Propagation in Linear and Nonlinear Periodic Media: Analysis and Applications
Invited Lecturers
- Pierre Deymier (The University of Arizona, Tucson, AR, USA)
- 6 lectures on: Analysis and design of phononic crystals and acoustic metamaterials. Theoretical and numerical tools for PC (Plane wave expansion method, FDTD, FE). Unusual acoustic effects: negative refractions, tunneling, cloaking. Examples and experimental results.
- Jacob S. Jensen (Technical University of Denmark, Lyngby, Denmark)
- 6 lectures on: Topology optimization of phononic and photonic crystals. Finite element modeling of wave propagation in finite crystal structures. Computation of wave intensity, transmission, reflection and dissipation. Sensitivity analysis using the adjoint method. Optimization tools, examples and experiments.
- Alexander B. Movchan (University of Liverpool, Great Britain)
- 6 lectures on: Highly nonlinear periodic systems. Discrete to continuum approaches. Role of defect, randomization and dissipation in the localization. Experimental results and applications.
- Francesco Romeo (Università "La Sapienza", Roma, Italy)
- 6 lectures on: Classical approaches for linear periodic systems: receptance and transfer matrices, wave vector approaches. Invariant representation of propagation properties and applications to vibration transmission reduction. Waves in nonlinear periodic media. Maps for nonlinear oscillatory chains. Nonlinear propagation properties, bifurcation analysis and localized solutions.
- Massimo Ruzzene (Georgia Institute of Technology, Atlanta, USA)
- 6 lectures on: Overview on periodic structures and media. Basic concepts in wave propagation. Structural lattices theoretical background and lattice descriptions. Bandgaps and directionality. Equivalent properties of structural lattices. Smart and tunable structures: rods, beam and plates with periodic shunted piezo arrays: application to vibration/noise control and to the design of tunable metamaterials.