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Piezoelectric Analysis

Th features of Rayleigh (the piezoelectric solver) are explained here with some examples.

 

  1. The piezoelectric material generates electric potential when it is accelerated.
     

     

    In Example 5 of Piezoelectric Analysis, the piezoelectric bar is deformed by the acceleration, and voltage is generated on the floating electrode.

     

  2. The piezoelectric material generates electric potential when it is mechanically loaded or pressurized.
     

     

    In Example 4 of Piezoelectric Analysis, the piezoelectric disc is deformed by the loading, and voltage is generated on the floating electrode.

  3. The piezoelectric material deforms when voltage is applied.
     

     

    In Example 1 of Piezoelectric Analysis, the piezoelectric bar is deformed by the applied voltage.

 

The functions of the piezoelectric analysis are listed below. For more examples, see [Example List for Piezoelectric Analysis].

 

Analysis Types

 

Static Analysis, Harmonic Analysis, Resonant Analysis, Transient Analysis, Analysis with Initial Stress Taken into Account

Materials

Piezoelectric Material, Dielectric Material, Perfect Conductor, Viscoelastic Material, Anisotropic Material

Boundary Conditions

 

 

Displacement, Normal Displacement, Rotational Displacement, Acceleration, Lumped Load, Distributed Load, Pressure, Torque Load, Contact (Friction), Simple Contact, Remote Load, Acoustic Impedance, Open Boundary, Optional Distributed Boundary, Free

 

Electric wall (specify electric potential, floating electrode), Magnetic wall

 

Periodic boundary, Symmetric face, Discontinuous

 

Obtained Properties

Displacement, Stress, Strain, Electric Field, Electric Flux Density, Electric Charge, Electric Potential, Electric Current, Impedance, Resonant Frequency, Pressure at Contact Face, Contact Area

Miscellaneous

Fast Sweep, Acceleration, Heat Load, External Resistance, Centrifugal Force, Coriolis Force

 

 

 

 

 

Options

Items

Static Analysis

Harmonic Analysis

Resonant Analysis (*)

Transient Analysis

Linear Analysis

Nonlinear Analysis (*3)

Sheet body in 3D analysis

Plane stress element (*2)

Yes

Yes

Yes

Yes

Yes

Large deformation (geometric nonlinearity)

Large displacement

No

Yes

No

No

Yes

Thermal options

Thermal load

Yes

Yes

No

No

No

Constant temperature

-

-

Yes (only for viscoelasticity)

No

Yes (only for viscoelasticity)

Velocity / Acceleration
options

Angular velocity

Yes

Yes

Yes

No

No

Acceleration

Yes

Yes

Yes

X

Yes

Nonlinear material

Mechanical loss

No

No

Yes

Yes

Yes (Coefiicientr of Rayleigh damping, Viscoelasticity)

Viscoelastic material

No

No

Yes (only for shear and volume)

No

Yes

Analysis with the initial stress taken into account

-

Yes

No

Yes

Yes

No

Thermoelastic Damping

-

No

No

Yes

Yes

No

Body attribute: Direction tab

Directional distribution

Yes

No

Yes

Yes

No

 

Caution: The following functions are applicable in the stress analysis but not in the piezoelectric analysis.

 

  • Analysis type: Multistep of static analysis and buckling analysis
  • Geometric nonlinearity: Large strain
  • Shell element
  • Multilayer plane stress sheet (*2)
  • Nonlinear material: Elasto-plastic, Hyperelastic, Creep
  • Thermal coupled analysis
  • Mass / Moment of inertia
  • Option of material: Birth/death, Material change, fatigue life assessment

(*) Including transient analysis using resonant mode.

(*2) Plane stress element is supported but not multilayer plane stress sheet.

(*3) Nonlinear analysis is a large deformation analysis and an analysis with contact boundary condition.

 

Analysis Condition Tab

Items

Static Analysis

Harmonic Analysis

Resonant Analysis (*)

Transient Analysis

Linear Analysis

Nonlinear Analysis

Mechanical

Displacement

Yes

Yes

Yes

Yes

Yes

Normal displacement

Yes

Yes

Yes

Yes

Yes

Rotational displacement

Yes

Yes

Yes

No

Yes

Acceleration

No

No

Yes

No

No

Lumped vertex load

Yes

Yes

Yes

No

Yes

Lumped face load

Yes

Yes

Yes

No

Yes

Distributed face load

Yes

Yes

Yes

No

Yes

Pressure

Yes

Yes

Yes

No

Yes

Torque load

Yes

Yes

Yes

No

Yes

Simple contact

Yes

Yes

Yes (only for slip and off contact)

No

No

Contact

No

Yes

No

No

Yes

Remote load

Yes

Yes

Yes

No

Yes

Acoustic impedance

No

No

Yes

Yes

No

Open boundary

No

No

Yes

Yes

No

Free

Yes

Yes

Yes

Yes

Yes

Electric

Electric wall

Yes

Yes

Yes

Yes

Yes

Magnetic wall

Yes

Yes

Yes

Yes

Yes

Symmetry/Continuity

Face of symmetry

Yes

Yes

Yes

Yes

Yes

Periodic

Yes

No

Yes

Yes

No

Discontinuous

Yes

Yes

Yes

Yes

Yes

(*) Not supported for the following types of the mechanical tab in the boundary condition.

Joint load

Spring connection