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Model order reduction of nonlinear piezoelectric microstructures through direct parametrisation of invariant manifolds

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Andrea Opreni
  • Function : Author
  • PersonId : 1105192
Alessandra Vizzaccaro
  • Function : Author
  • PersonId : 1104925
Attilio Alberto Frangi
  • Function : Author
  • PersonId : 1039306

Abstract

Piezoelectric actuation represents the most effective out-of-plane actuation mechanism for resonant microstructures as scanning micromirrors and piezoelectric ultrasonic transducers. Nevertheless, predicting the dynamic response of such devices at their design stage is often impractical since numerical computation of periodic orbits from finite element systems is computational demanding. In this work, we propose a model order reduction strategy based on the direct parametrisation for invariant manifolds tailored for nonlinear piezoelectric structures. The innovative aspect of the method is the introduction of nonlinear terms that arise due to piezoelectric coupling in the reduction procedure.
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Dates and versions

hal-03778419 , version 1 (15-09-2022)

Identifiers

  • HAL Id : hal-03778419 , version 1

Cite

Andrea Opreni, Alessandra Vizzaccaro, Cyril Touzé, Attilio Alberto Frangi. Model order reduction of nonlinear piezoelectric microstructures through direct parametrisation of invariant manifolds. ENOC 2020+2, 10th European Nonlinear Dynamics Conference, Jul 2022, Lyon, France. ⟨hal-03778419⟩
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