Piezoelectric Analysis Tab

Setting Item

Notes

Analysis Type

Static Analysis

Constant load, voltage or current is applied.

Harmonic Analysis

Solves the response to sinusoidal load, voltage and current.

Resonant Analysis

Solves the mechanical resonance and the electric resonance. Please also see here.

Transient Analysis

Solves transient states. An option for [Transient Analysis Using Resonant Mode] allows different analysis methods and things to analyze.

See piezoelectric-transient analysis of technical note for more information.

Analysis Plane

To perform the 2D analysis, select either one below.

2D cross section

Applicable to the vibrators relatively thick against the plate dimensions. It corresponds to the plane strain of the stress analysis.

Plane Stress
Applicable for the vibrators relatively thin against the plate dimensions. The displacement is in parallel to the plate.
 

Variables to Constrain

The piezo-vibration has four freedoms: the X/Y/Z/ displacement and the electric potential.

Constrain the freedom which is known to be 0 from the beginning.

The calculation time is reduced as the unnecessary calculation is skipped.

In the case of 2D analysis, select the Y-displacement because there is no displacement in Y direction.

In the case of SH waves, however, leave the Y direction free as some modes have the vibration in the depth direction.

The displacement cannot be constrained in the 3D analysis.

Constrain the electric potential in the case of the non-piezo, pure elastic body, as there is no electric potential involved.

Large Deformation

Analyzes the geometric nonlinearity involving large deformation.

Large deformation means rotation and large strain of elements.

For the details, see Technical Note Analysis of Large Deformation (Geometric Nonlinearity).

If "Large displacement" is selected

Rotation is taken into account.

The total Lagrangian formulation with Green-Lagrangian strains is used.

The analysis of large deformation involves iterative calculations which may take long time.

This option is applicable if the [analysis type] is either [static analysis] or [transient analysis].

Options

Notes

Acceleration

Takes the weight of the model into account.

Not selectable in the resonant analysis.

Angular Velocity

Available only in the 3D analysis.

If [Analysis Type] is static analysis, the analysis with centrifugal force taken into account is possible.

If [Analysis Type] is harmonic analysis, the analysis with Coriolis force taken into account is possible.

Thermal Load / Constant Temperature

Takes the thermal load into account.

If selected, the setting on the step/ thermal load tab is allowed.

Select "Constant temperature" to set the constant temperature on the Constant Temperature tab.

If this option is selected, the temperature dependency on Viscoelasticity tab can be used for the analysis.

"Constant temperature" is set on the Constant Temperature tab.

"Thermal load" is for the static analysis. "Constant temperature" is for the harmonic analysis.

Initial stress

By taking into account the initial stress, the hardening effect of tensile force (higher resonant frequency) is calculated.
Also taken into account are the the change of dimensions and density by deformation, and the change of anisotropic direction by rotation.

See Analysis with initial stress taken into account for the details.

This analysis is performed in two stages.

1st step: Solve the displacement and stress with the static analysis (Analysis 1).

2nd step: Using the data of displacement and stress that are obtained in the Analysis 1, perform the analysis with initial stress taken into account (Analysis 2).
The analysis is performed on the assumption that the governing strain and stress are in the Analysis 1 and those in the Analysis 2 are minute compared to the Analysis 1.

The results of Analyses 1 and 2 are displayed in the result field.
Be aware that the displacement of the Analyses 1 is not included in the displacement of the Analysis 2.

Displacement of Analysis 1 is added to that of Analysis 2 in the displacement diagram of Analysis 2. Scale for the displacement of Analysis 1 is not adjusted.

Take into account

If this option is selected, the analysis is performed with initial stress taken into account.

Specify static load for boundary condition (Piezoelectric analysis Example 13)

Analyses 1 and 2 are performed in order.

This function is available for resonant analysis only. If this is selected, the deformation is obtained with static load of force boundary condition and displacement boundary condition (non-zero). Based on this displacement, the resonant analysis is performed with hardening (or softening) effect taken into account. Please note that in the analysis 2, the place where the static load is applied is treated as fixation boundary condition (displacement is 0).

Use analysis results (Results import) (Piezoelectric analysis Example 13)

This method can be selected after the analysis 1 is completed.

This can be used in the static analysis, the harmonic analysis and the resonant analysis.

Instead of omitting Analysis 1, the results of the stress and piezoelectricity are specified on the Results Import tab.

Nonlinear static analysis (large deformation, contact) is not applicable.

Take thermoelastic damping into account

It is available for the harmonic analysis and resonant analysis. Thermoelastic damping is a function to take into account the loss due to the temperature change incurred by vibration.

Enter the temperature of vibrating element in T0. See Example 22 for reference.

Transient Analysis Using Resonant Mode

Specifies the method for the transient analysis.

If deselected

The implicit method of the finite element method is applied. The same method is applied in the stress-transient analysis. (an optional license required)

If selected

The field is the sum of the eigenmodes acquired by resonant analysis and the results of static analysis.

The time-dependent loads given are the voltage and the force specified for the boundary conditions.

See piezoelectric-transient analysis of technical note for more information.

Setting Item

Notes

Output Result Field

Outputs the result fields if selected.

Always enabled in the case of transient analysis.

Outputs the result fields in the nonlinear static analysis, such as large displacement or contact analysis, regardless whether selected or deselected.

Results Graph

- The format is either [Impedance] or [Admittance].

If [Show S/Y-parameters] is selected in the dialog box of [Calculation Finished], specify the vertical axis of a graph which is displayed after pressing the [Show] button.

Specify the output type of Touchstone file.

In the static analysis, however, the impedance and the admittance are not calculated.

In the resonant analysis, the impedance or the admittance will be output.

• One-port model has an electric wall of 0[V] and boundary condition specified with electric potential, an electric wall of non-zero[V] and boundary condition specified with electric potential. The type of non-zero[V] electric wall and boundary condition specified with electric potential is only one.
  

-

This button is active if the analysis type resonant analysis.

By pressing this button, a RayImpGraph dialog box will show up to calculate the impedance and the admittance (except for some cases). Maximum frequency, minimum frequency, and number of divisions are entered.

The entered values are used to calculate the impedance in the resonant analysis.