Vibration attenuations induced by periodic arrays of piezoelectric patches connected by enhanced resonant shunting circuits

Abstract

Periodic arrays of piezoelectric patches connected by enhanced resonant shunting circuits are attached to a slender beam to control the propagation of vibration. Numerical models based on the transfer matrix methodology are constructed to predict the band structure, attenuation factors and the transmission of vibration in the proposed smart structure. The vibration attenuations of the proposed smart structure and that with the passive resonant shunting circuits are compared in order to verify the efficiency of the enhanced resonant shunting circuits. Vibration experiments are conducted in order to validate the theoretical predictions. The specimen with a combination of different types of resonant shunting circuits is also studied in order to gain wider attenuation frequency ranges.

Sound transmission loss of metamaterial thin plates with periodic subwavelength arrays of shunted piezoelectric patches

“…Based on the subwavelength assumption, the electric displacement D 3 is almost invariable on the piezoelectric electrode whose area is A s . Therefore, the electric current generated by a piezoelectric patch can be written as [25] …”

“…Different types of local resonators have been proposed in the design of acoustic metamaterials, such as coated spheres (the coating is elastically soft material while the sphere is high density solid) [1], Helmholtz resonators [3], tensioned elastic membrane carrying mass blocks [7,8,10,14], soft rubber rings encircled with heavy metal rings [5], cantilevered beam-like structures [18,19], resonant piezoelectric shunts [20][21][22][23][24][25][26][27][28][29][30], etc. Compared with other mechanical resonators (or dynamic vibration absorbers), the advantages of piezoelectric resonators include (i) the additional mass introduced by a piezoelectric resonator is always very small, which is of great importance in practical applications; (ii) the performance of a piezoelectric resonator can be tuned very easily and efficiently by only adjusting the properties of shunting circuit, without modifying the structural parameters.…”

“…The resulting periodic structure showed longitudinal wave stop bands which can also be tuned by adjusting the properties of shunting circuit. Subsequently, this concept was later implemented in flexural beams [23][24][25] and plates [21,22,26]. The study of free wave propagation in periodically shunted structures has been extensively carried out and result in many interesting findings.…”

Multimodal vibration damping of a beam with a periodic array of piezoelectric patches connected to a passive electrical network

“…It is remarked that the network could have been obtained directly from the equations (11). However, applying the electromechanical analogy on the mechanical unit cell in figure 2 make easier the determination of the network topology.…”

Random Vibration Suppression of a Truss Core Sandwich Panel Using Independent Modal Resonant Shunt and Modal Criterion

“…In this method the mechanical energy of the vibrating structure is first converted into electrical energy and then dissipated by the resistance in the shunt circuit. According to the type of transducer, shunt circuit damping can be divided into piezoelectric shunt circuits and electromagnetic shunt circuits [6], and the types of shunt circuit include resistive shunt circuits [7], resonant shunt circuits [8], negative capacity shunt circuits [9], switch shunt circuits [10], etc. Among various shunt damping methods, the piezoelectric resonant shunt is the most widely used method.…”