Wave propagation in thin-walled mono-symmetric metabeam with periodically placed piezoelectric sensor and actuator

Abstract

This paper introduces a novel method to generate an attenuation band in a thin-walled mono-symmetric metabeam by periodically attaching piezoelectric patches serving as sensors and actuators. The periodic configuration enables the creation of a subwavelength attenuation band. Using Hamilton's principle, equations of motion for a unit cell with piezoelectric patches are derived. The dispersion characteristics are analyzed through the transfer matrix and Bloch-Floquet theorem, while modal frequencies are validated against finite-element results. Dispersion plots and the transmittance spectrum confirm the formation of band gaps where beam responses are suppressed. A parametric study explores the influence of the geometric properties of the system on attenuation bands. The results demonstrate the potential for achieving a low-frequency band gap, highlighting its applicability in vibration attenuation and acoustic control.