Study of wave propagation in strongly nonlinear periodic lattices using a harmonic balance approach

Piezo-electromechanical smart materials with distributed arrays of piezoelectric transducers: Current and upcoming applications

“…For a comprehensive description of the models which we consider needed in this context we refer to [135]. If nonlinearities are to be included into the picture then the results described in [134,148,147] can be an useful starting point. Interesting multiple time scale analyses are conceivable to design wave modulations presenting energy transfer from one vibration mode to others and possibly its more effective dissipation (see the methods presented in [123,125] and references therein).…”

Tunable evolutions of wave modes and bandgaps in quasi-1D cylindrical phononic crystals

“…They have gained significant attention from the scientific and engineering communities in the last decades owing to their capability of controlling mechanical waves [3][4][5][6][7][8][9]. More specifically, these lattice structures forbid the propagation of mechanical waves at certain frequency ranges due to their destructive interferences at interfaces, while allowing the passage of the rest of frequency contents.…”

Wave transmission in time- and space-variant helicoidal phononic crystals

“…Although tunable PCs have been investigated both theoretically and experimentally, their acoustic properties are typically fixed by their initial design parameters and are not allowed to vary adaptively, which limits the breadth of their potential applications. Previous studies explored the possibility of altering wave transmission characteristics in situ by using time-varying material properties [6] and by exploiting amplitude-dependent responses of their nonlinear constituents [7][8][9]. However, dynamically tunable PCs are relatively unexplored, and wave propagation mechanisms in time-and space-variant PCs remain largely unknown.…”