A comprehensive model for piezoceramic actuators: modelling, validation and application

Abstract

This paper presents a comprehensive model for piezoceramic actuators (PAs), which accounts for hysteresis, non-linear electric field and dynamic effects. The hysteresis model is based on the widely used general Maxwell slip model, while an enhanced electro-mechanical non-linear model replaces the linear constitutive equations commonly used. Further on, a linear second order model compensates the frequency response of the actuator. Each individual model is fully characterized from experimental data yielded by a specific PA, then incorporated into a comprehensive 'direct' model able to determine the output strain based on the applied input voltage, fully compensating the aforementioned effects, where the term 'direct' represents an electrical-to-mechanical operating path. The 'direct' model was implemented in a Matlab/Simulink environment and successfully validated via experimental results, exhibiting higher accuracy and simplicity than many published models. This simplicity would allow a straightforward inclusion of other behaviour such as creep, ageing, material non-linearity, etc, if such parameters are important for a particular application.Based on the same formulation, two other models are also presented: the first is an 'alternate' model intended to operate within a force-controlled scheme (instead of a displacement/position control), thus able to capture the complex mechanical interactions occurring between a PA and its host structure. The second development is an 'inverse' model, able to operate within an open-loop control scheme, that is, yielding a 'linearized' PA behaviour. The performance of the developed models is demonstrated via a numerical sample case simulated in Matlab/Simulink, consisting of a PA coupled to a simple mechanical system, aimed at shifting the natural frequency of the latter.

Modeling and Control of Piezo-Actuated Nanopositioning Stages: A Survey

“…Moreover, Gao et al [131] developed a linear modeling approach for the piezo-actuated stage, where the hysteresis effect of the piezoelectric actuator was ignored. Following the accumulated research results in [129]- [132], Gu et al [20] recently developed a general dynamic model for the piezo-actuated stages, including frequency response of the whole electromechanical system, voltage-charge hysteresis and nonlinear electric behavior. Fig.…”

“…It is pointed out that the general dynamic model (30) and (31) can be reduced to other developed models in [129]- [132]. The detailed notations and discussions may refer to [20].…”

Modelling of Piezoelectric Actuator (PEA) for Advanced Process Control in Chemical Mechanical Polishing (CMP)

“…33 33 Equation (8) indicates that the induced displacement is directly proportional to input voltage when the external load remains constant, and similarly, the external force is proportional to the voltage when the displacement remains constant. Five control voltages (30, 60, 90, 120 and 150V) were selected in the identification process, as shown in Fig.…”

“…7. This is due to the inherent nonlinearity of coupling factors when the piezoelectric materials are subject to high control voltages [8]- [10]. …”

Numerical Analysis and Optimization on Piezoelectric Properties of 0–3 Type Piezoelectric Cement-Based Materials with Interdigitated Electrodes

“…The electrical properties of these sensors are frequently employed as sensing signals reflecting the stress or strain under external static and or dynamic loadings of the cement concrete matrix which is incorporated with some microscale or nano scale additives, such as carbon fibers (CFs), carbon nanotubes (CNTs) [4][5][6][7][8][9][10], or lead zirconate titanate (PZT) powder [11][12][13][14][15][16]. As Li et al [11,15], Huang et al [12], Chaipanich et al [13], Luo et al [14], Gong et al [16], Lan et al [17], Song et al [18][19][20], and Jaitanong et al [21] reported, the 0-3 type piezoelectric cement-based composite (PCM) wafer has excellent piezoelectric self-sensing and self-driving responses, and a good compatibility with long-life concrete. Therefore, it is easy to realize the fine regulation of performance indicators through changing the fillers' contents [14].…”