Dynamics and wave propagation in nonlinear piezoelectric metastructures

This paper reports dynamical effects in one-dimensional locally resonant piezoelectric metastructures leveraged by nonlinear electrical attachments featuring either combined quadratic and quartic, or essentially quartic potentials. The electromechanical unit cell is built upon a linear host oscillator coupled to circuit via piezoelectricity. Semi-analytical harmonic balance (HB)-based dispersion relations are derived predict the location edges of attenuation band. Numerical responses show that weakly moderately (NPMSs) promote class band where bandgap wave supratransmission coexist, while also imparting at resonances around underlying bandgap. Besides, strongly regimes shown elicit broadband chaotic attenuation. Negative capacitance (NC)-based cubic found expand aforementioned over broader bandwidth. Excellent agreement between predictions HB-based transmissibility functions undamped damped NPMSs regimes, even presence NC circuits. research expected pave way toward fully tunable smart periodic for vibration control attachments.