Journal of Engineering Science and Technology Review 14 (4) (2021) 153 - 160
Research Article
Simulation of Piezoelectric Stack Actuators for Loss Component
Mark Christian P. Espinosa, Paola N. Calub, Rodney B. Javier* and Sheryl Dinglasan Fenol
College of Engineering and Information Technology, Cavite State University, Indang, Cavite, Philippines
Received 26 May 2021; Accepted 22 September 2021
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Abstract
Piezoelectric actuators (PEA) are widely utilized now for ultra-precision positioning and actuation in the
micro/nanotechnology manufacturing industry. To ensure that these devices perform efficiently and to improve the system
and prevent unnecessary inaccuracies it may trigger, it is better to understand its loss phenomenology. Piezoelectric devices
have three losses: dielectric, mechanical, and piezoelectric. In this study, behaviour of PEA was simulated using COMSOL
Multiphysics to characterize each loss and determine its effect on mechanical response, electrical impedance and percentage
loss. The quality factor of the PEA was also calculated with different combined loss. The simulation study showed that
each loss has its own influence on the said constituents especially over the frequency sweep. It was also proved that resonant
frequency is invariant to the losses, thus, making it an extensive property of the PZT material.
Keywords: Piezoelectric Actuator, Loss Phenomenology, COMSOL Multiphysics, Quality Factor, Actuators
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1. Introduction
The extensive study of piezoelectric actuators (PEA) for
micro-positioning applications made a lot a progress through
some times due to six main advantages given by Li & Chen
(2013) [1] and Chi & Xi (2014) [2] such as not omission of a
rotating mechanism, ultrahigh precision positioning, instant
response, very large output force, lower power dissipation and
design aesthetic. It contributed a lot in enabling
micro/nanotechnology and ultra-precision manufacturing
systems. It is then necessary to enhance the efficiency and
performance of this component to increase the mechanical
factor and clarify its loss phenomenology [3].
Hysteresis is an innate nonlinear property of piezoelectric
devices that influence its control performance and efficiency.
Displacement of PEAs depends on not only the current
control inputs but also the historical inputs because of the
existence of hysteresis [4-5]. According to Zhuang et al.
(2014) [6], hysteresis losses in piezoelectrics are considered
to have three types in general: dielectric, mechanical (elastic),
and piezoelectric losses where they can be classified into
intensive or extensive factor upon the boundary conditions [2,
6, 7, 8]
Several hysteresis models, as indispensable parts in
improving the performance of PEA, have been proposed to
describe the hysteresis effect [4, 9]. Chi & Xi (2014) [2]
categorizes these models into two types: physics-based
models and phenomenological models. Physics-based models
utilize the relationship of energy, the displacement and etc.
such as Zhang & Damjanovic (2020) [5] described using the
Quasi-Rayleigh model while phenomenological models
directly uses mathematical models starting from the
characteristics of the hysteresis curve which a lot of reference
have explained it [10, 11]
In this paper, the loss phenomenology of the piezoelectric
actuator (dielectric, mechanical, piezoelectric) is modeled and
simulated using COMSOL Multiphysics software. Each loss
is defined for specific factors: mechanical damping
coefficient (QM) for mechanical loss, dissipation factor (tan δ)
for dielectric loss and piezoelectric loss or coupling loss factor
(tan ϕ) for piezoelectric loss. The mechanical response,
electrical impedance as well as the percentage loss for each
loss is demonstrated over the frequency sweep of 1 kHz to 1
MHz. The mechanical response indicates the effect of each
loss on the displacement of the PEA while the electrical
impedance shows the behavior of the electrical resonances
and the anti-resonances.
Mechanical quality factors are basically related to the
losses and play a significant role for its study [5, 12]. A higher
mechanical quality factor increases the efficiency and reduces
heat generation [7]. For PEAs, the resonances and anti-
resonances are considered as the maximum and minimum
point of admittance which characterizes as the quality factor
under resonance (Qa) and anti-resonance (Qb). In the study,
the quality factors where obtained over the frequency sweep
of the combined material loss configurations.
Fig. 1. Thors lab PK4FQ2 discrete piezoelectric rectangular stack.
2. Methods
2.1 Geometric Description
A discrete multilayer piezoelectric stack actuator with both
flat ends was modelled in the simulation platform of
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*E-mail address: rdnyjavier@cvsu.edu.ph
ISSN: 1791-2377 © 2021 School of Science, IHU. All rights reserved.
doi:10.25103/jestr.144.19