Abstract

The piezoelectric effect, along with its associated materials, fascinated researchers in all areas of basic sciences and engineering due to its interesting properties and promising potentials. Sensing, actuation, and energy harvesting are major implementations of piezoelectric structures in structural health monitoring, wearable devices, and self-powered systems, to name only a few. The electrical or mechanical impedance of its structure plays an important role in deriving its equivalent model, which in turn helps to predict its behavior for any system-level application, such as with respect to the rectifiers containing diodes and switches, which represent a nonlinear electrical load. In this paper, we study the electrical impedance response of different sizes of commercial piezoelectric discs for a wide range of frequencies (without and with mechanical load for 0.1–1000 with resolution 20 ). It shows significant changes in the position of resonant frequency and amplitude of resonant peaks for different diameters of discs and under varying mechanical load conditions, implying variations in the mechanical boundary conditions on the structure. The highlight of our work is the proposed electrical equivalent circuit model for varying mechanically loaded conditions with the help of impedance technique. Our approach is simple and reliable, such that it is suitable for any structure whose accurate material properties and dimensions are unknown.

Highlights

  • IntroductionPiezoelectric effect is a phenomenon where mechanical deformation generates charge on its surface (direct effect) or electric field deforms the material (indirect effect)

  • The definition of loading for the existing models mean that the piezoelectric element is mounted on a host structure, which we describe as mechanically unloaded in this paper

  • Understanding of electrical and mechanical impedance response is fundamental for the application of piezoelectric elements

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Summary

Introduction

Piezoelectric effect is a phenomenon where mechanical deformation generates charge on its surface (direct effect) or electric field deforms the material (indirect effect) It is exhibited by quartz, semicrystalline polyvinylidene polymer, poly-crystalline piezoceramic, and many more [1,2]. It is designed for both unloaded and loaded conditions, with impedance elements and electromechanical coupling factor dependent on several material constants. With addition of load to the element, the number of impedance elements increases on the mechanical port and derivation of such elements for lossy materials become more complicated Another major drawback of Mason’s equivalent model is the negative capacitance on the electrical port, which is considered unrealistic [28–31]

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