Simultaneous topology optimization of structure and piezoelectric actuators distribution

Molter, Alexandre; Fonseca, Jun Sergio Ono; Fernandez, Lucas dos Santos

doi:10.1016/j.apm.2016.01.023

Cited by 22 publications

(7 citation statements)

References 22 publications

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“…The optimization procedure proposed in this work considers only the open-loop system presented in Equation (11). However, we define a state-feedback control law as a postprocessing analysis to compare the actuator designs.…”

Section: Control Performancementioning

confidence: 83%

“…Silva and Kikuchi 9 developed a formulation where the topology optimization method was employed to design piezoelectric transducers using the electromechanical coupling factor. Recent advances on the design of structures with piezoelectric materials using the topology optimization method have been focused in important engineering applications including, but not limited to, vibration control, [10][11][12][13] microelectromechanical systems, 14,15 and energy harvesting problems. [16][17][18] Different control approaches have been employed for the design of piezoelectric actuators considering an application of AVC of smart structures, as linear-quadratic regulator (LQR), 19 active velocity feedback control law, 20 and self-tuning fuzzy logic.…”

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confidence: 99%

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A simultaneous approach for compliance minimization and piezoelectric actuator design considering the polarization profile

Gonçalves

Leon

Perondi

2019

Numerical Meth Engineering

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Summary This article addresses the compliance problem along with the piezoelectric actuator design for active vibration control. The topology structural design is obtained by solving a compliance minimization problem with volume constraint, whereas the actuator design is carried out by the maximization of a control performance index written in terms of the controllability Gramian. This measure describes the ability of the actuator to move the structure from an initial condition to a desired final state, at rest for instance, in a finite time interval. The actuator design is also characterized by the polarization profile, which is defined according to the distribution of an additional design variable. Therefore, the actuators can yield both tensile and compressing fields at different points of the structure using the same applied control voltage. To achieve this goal, a material interpolation scheme based on the solid isotropic material with penalization and the piezoelectric material with penalization and polarization (PEMAP‐P) models is employed, and both the optimum structure/actuator layout and polarization profile are obtained simultaneously. The sensitivities with respect to the polarization and design variables are calculated analytically. Numerical examples are presented considering the design and vibration control for a cantilever beam, a beam fixed at both ends, and an L‐bracket structure to show the efficiency of the proposed formulation. The control performance of the designed structures are analyzed employing a linear‐quadratic regulator simulation, and these results are compared to verify the influence of the optimized polarization profiles.

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Section: Control Performancementioning

confidence: 83%

mentioning

confidence: 99%

A simultaneous approach for compliance minimization and piezoelectric actuator design considering the polarization profile

Gonçalves

Leon

Perondi

2019

Numerical Meth Engineering

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“…A pioneering work where topology optimization is used to optimize piezoelectric structures is [1], where the authors designed 1-3 composites for hydrophone applications. More specifically, regarding the design of in-plane piezoelectric actuators using topology optimization, a work was due to 10 [2], where the host structure is optimized while the piezoelectric layer is kept fixed. Since then, the list of works related to this topic has grown immensely, and we just mention some of them.…”

mentioning

confidence: 99%

“…New results are presented in [8] and [9] for in-plane and 20 out-of-plane piezoelectric transducers, respectively. Another recent reference on simultaneous optimization of structure and piezoelectric profile in the actuators context is [10].…”

mentioning

confidence: 99%

Optimal design of robust piezoelectric unimorph microgrippers

Ruiz

Díaz-Molina

Sigmund³

et al. 2018

Applied Mathematical Modelling

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“…Numerical methods based on building blocks [18], although fast, are limited to basic geometries, while interval techniques require an analytical model of the host structure [19]. Under certain hypotheses of isotropy and simple geometries, SIMP-based methods (Solid Isotropic Material with Penalisation) [20][21][22][23][24][25] are more suitable. From a practical point of view, SIMP methods are largely used to design piezoelectric in-plane and out-of-plane transducers [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Design and Characterization of In-Plane Piezoelectric Microactuators

et al. 2017

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In this paper, two different piezoelectric microactuator designs are studied. The corresponding devices were designed for optimal in-plane displacements and different high flexibilities, proven by electrical and optical characterization. Both actuators presented two dominant vibrational modes in the frequency range below 1 MHz: an out-of-plane bending and an in-plane extensional mode. Nevertheless, the latter mode is the only one that allows the use of the device as a modal in-plane actuator. Finite Element Method (FEM) simulations confirmed that the displacement per applied voltage was superior for the low-stiffness actuator, which was also verified through optical measurements in a quasi-static analysis, obtaining a displacement per volt of 0.22 and 0.13 nm/V for the low-stiffness and high-stiffness actuator, respectively. In addition, electrical measurements were performed using an impedance analyzer which, in combination with the optical characterization in resonance, allowed the determination of the electromechanical and stiffness coefficients. The low-stiffness actuator exhibited a stiffness coefficient of 5 × 10 4 N/m, thus being more suitable as a modal actuator than the high-stiffness actuator with a stiffness of 2.5 × 10 5 N/m.

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Simultaneous topology optimization of structure and piezoelectric actuators distribution

Cited by 22 publications

References 22 publications

A simultaneous approach for compliance minimization and piezoelectric actuator design considering the polarization profile

A simultaneous approach for compliance minimization and piezoelectric actuator design considering the polarization profile

Optimal design of robust piezoelectric unimorph microgrippers

Design and Characterization of In-Plane Piezoelectric Microactuators

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