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Piezoelectric Design

OOFELIE::Multiphysics, provides engineers and analysts with unique capabilities to analyze piezoelectric systems, such as sensors and actuators, ultrasonic motors and accelerometers. With OOFELIE::Multiphysics, you are getting at the core of the physics in one conveniently integrated simulation package.

Piezoelectric Design

Amplified Piezoelectric Actuators - APA (courtesy CEDRAT)

OOFELIE::Multiphysics is a Virtual Prototyping tool for the analysis and design of piezoelectric systems. Through the use of its modeling capabilities, it becomes possible to start simulating the performance of such systems even before a single physical prototype is built. Design changes can be evaluated faster and in a more affordable manner, reducing the number of actual prototypes needed to achieve a required design maturity, thus accelerating significantly product development. Thanks to such a tool, the engineers acquire a capability to isolate and analyze the effect of each parameter. With such insight available at their fingertips, information can be quickly gained to correct or improve previous designs efficiently, knowing which are the influent factors.

Reduced design time, improved quality and reduced costs are some of the benefits one can now obtain from using OOFELIE::Multiphysics.

Key Features

Design - Abilities
  • Statics
    • Linear and non-linear
  • Modal
  • Harmonic
  • Transient
    • Linear and non-linear
  • Generation of Super Element Models (SEM)


Industry Standard Designflow

Intuitive Left-to-Right Design Flow

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PiezoElectric Effect

The direct piezoelectric effect consists in the ability of certain materials to generate an electrical potential in proportion to an externally applied force. The inverse piezoelectric effect refers to the reciprocal effect by which the application of an electric field induces a deformation of the piezoelectric material. These dual effects, which can be used simultaneously, are increasingly being used today in the application of piezoelectric materials.

Advanced features

OOFELIE::Multiphysics provides the user with following advanced features for Piezoelectric simulations:


  • A dielectric medium can be modeled with boundary element method (BEM). This kind of modeling technique is efficient if we have to consider infinite extension dielectric medium. It happens when radiative capacitive coupling has to be taken into account. Note that the solver integrates a strongly coupled FEM/BEM approach in this case.
  • Perfectly Matched Layers are used to model absorption, allowing the easy the combination of large domains and thin piezo layers.
  • A flexible contact between mechanical mediums can be modeled.
  • Piezoelectric film elements can be used to model thin film actuator or sensors.
  • Non-linear large displacement 3D elements are available.
  • A prestressing effect can be taken into account. For example, the variation of system eigenfrequencies due to a prestressing can be computed.
  • Electrodes can be added, whether “passive” (fixed potential) or “active” (constant but unknown isopotential value, whether in closed or open circuit). It is also possible to add and connect multiple RLC circuit elements to model the connected circuitry.

Super Element Models (SEM) generation

Thanks to the strong coupling approach, model reduction techniques are available to generate accurate but fast models of components that can be introduced in other electronics.

Efficient and innovative reduction methods have been developed in OOFELIE::Multiphysics, which allow the generation of parameterised multiphysics reduced models that are fully compatible with static, modal, dynamic and harmonic simulations. The use of reduced models can lead to significant improvements in terms of simulation time and memory requirements. Furthermore, the ability to re-use components and to generate models that represent families of components, thanks to the parameterisation features, can speed-up the time-to-market.

The reduction methods available in OOFELIE::Multiphysics can be applied to structural, thermo-mechanical, piezoelectric and thermo-piezoelectric models.

Due to the dynamic reduction approach, reduced models take into account the complete behavior of the models, including stiffness, inertial and damping effects. In addition, all the reduced model variables correspond to input-output quantities and therefore the excitation scheme must not be defined a priori when generating the reduced model.

Reduced models can also be exported to systems simulators using VHDL-AMS or Verilog-A exchange formats. It is also possible to add and connect multiple RLC circuit elements to model the connected circuitry directly inside OOFELIE::PiezoElectric.


Piezoelectric ultrasonic engine

Piezoelectric ultrasonic motors offer great advantages over conventional electromagnetic motors (such as torque to size and weight ratio, reduced noise, small and compact, etc.).

Linear engine

The linear engine is another type of piezoelectric engine. In this example, by applying an adequate harmonic voltage to the two piezoelectric stacks of the actuation system, we can obtain an elliptical movement of its upper face.