Optimal design of electrode polarization in piezoelectric unimorph beams to induce traveling waves

•Generation of traveling waves in one-dimensional beams by piezoelectric actuation.•The design variables are two sets of electrodes including the polarization direction.•The deflection of the beam is computed by modal decomposition.•An interpolation scheme for the selection of the set of electrodes...

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Bibliographic Details
Published in:Applied Mathematical Modelling 2021-11, Vol.99, p.1-13
Main Authors: Ruiz, David, Horta Muñoz, Sergio
Format: Article
Language:English
Subjects:
Actuators
Boundary conditions
Electrode design
Electrode polarization
Finite element method
One-dimensional beam
Piezoelectricity
Topology optimization
Traveling waves
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Summary:•Generation of traveling waves in one-dimensional beams by piezoelectric actuation.•The design variables are two sets of electrodes including the polarization direction.•The deflection of the beam is computed by modal decomposition.•An interpolation scheme for the selection of the set of electrodes is proposed. In this paper a milli-sized traveling wave actuator is designed by optimizing the polarization direction. Two different sets of electrodes are needed to generate the traveling wave. The topology optimization method is used to get the optimal sets of electrodes that minimize the difference between a pure traveling wave and the deflection generated. Classical issues in topology optimization problem such as mesh-dependence or intermediate densities are overcome by using filtering and projection techniques. Examples with different boundary conditions are presented in order to validate the model.
ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2021.06.007