Theoretical analysis of the dynamic properties of a 2-2 cement-based piezoelectric composite under impact load

Abstract

A theoretical analysis model of the dynamic properties of a 2-2 cement-based piezoelectric composite under impact load and its definite problems are presented based on the theory of piezo-elasticity in this article. Then, the theoretical solutions are obtained according to the Duhamel integral and variable separation method. The numerical simulations of the composite are presented by utilizing the transient step load, the transient haversine wave load, and transient isosceles triangle load, respectively, and compared with theoretical solutions, Zhang’s results, and Li’s results. It is found that the theoretical solutions have excellent agreement with the numerical simulations and Zhang’s results and Li’s results. In addition, the influences of piezoelectric parameters and thickness on the responses of the dynamic properties are discussed. The conclusion in this article could benefit the design and fabrication of 2-2 cement-based piezoelectric composites in engineering practice.

Modeling and analysis of frequency-variable 2–2 cement-based piezoelectric transducers

“…It is as known that the final mechanical and electrical properties of the cement are really randomness, which are affected by some key factors, such as water-cement ratio, cement type, curing conditions, and moisture [47][48][49]. However, once the cement is finally completed, their mechanical and electrical properties can be assumed approximately as the constants for use [30,31]. The main mechanical and electrical properties of the cement are elastic modulus, density, relative dielectric coefficient, and Poisson's ratio [24,30,31,47,48,50].…”

“…However, once the cement is finally completed, their mechanical and electrical properties can be assumed approximately as the constants for use [30,31]. The main mechanical and electrical properties of the cement are elastic modulus, density, relative dielectric coefficient, and Poisson's ratio [24,30,31,47,48,50]. For the 2-2 cement based piezoelectric composites fabricated using the cutting-filling technique [14], these parameters have the effects on the performance of the transducers.…”

“…The model is in an algebraic analytical form with no complex calculus involved, which can be easily used to design and optimize 2-2 cement-based piezoelectric composites. Zhang et al [25][26][27][28][29][30][31] preformed a systematic theoretical study and comprehensively analyzed dynamic properties of 2-2 cement-based piezoelectric composites under impact load. They discussed the effects of the connected resistor, the layer numbers of the composite, the material and geometrical parameters of electrode layers, different types of impact loads, piezoelectric parameters and the thickness of the piezoelectric layer on the dynamic properties.…”

A comprehensive dynamic continuous model of piezoelectric stack energy harvesters under arbitrary excitation considering electrodes and protective layers

“…First, the natural frequency and mode shape of the piezoelectric stack without piezoelectric effect in the free vibration state are solved; secondly, using the natural frequency and mode obtained, combined with the electrical governing equation based on Kirchhoff's law, the response of the piezoelectric stack energy harvester under forced vibration is given. The first step of solution is to solve the natural frequency and mode shape of layered composite materials in essence, which greatly draws on previous work [44][45][46][47][48].…”