Example2 Fully Coupled Analysis

General

• Fully coupled analysis is performed for Exercise 1: Harmonic Analysis.
   

Analysis Space

Analysis Conditions

The solvers are Rayleigh and Mach.

The harmonics analysis tab is set up as follows.

The sound waves propagate outside the analysis region. Therefore the “open boundary” condition below is applied initially.

Therefore the default open boundary condition is applied.

Model

A piezoelectric disc (Unit) is placed on an aluminum disc (Plate). The hemispheric body (Air) covers the upper area.

Body Attributes and Materials

* Available from the Material DB

Unit and Plate are for the piezoelectric analysis only, whereas Air is for the acoustic analysis only.

Cautions:

In this analysis, it is necessary to specify the analysis domain.

Specify either piezoelectric analysis or acoustic analysis as the usable domain on the analysis domain tab.

Boundary Conditions

The side periphery of the model is fixed in the Z direction.

Electric wall is set on the top and bottom faces of the piezoelectric disc.

The open boundary is set on the hemispheric surface.

Results

The displacement of the piezoelectric disc is examined.

Horizontal axis: Frequency, Vertical axis: Displacement Z component The displacement is measured at the center (0, 0, 0) of the disc.

Under the fully coupled condition, the air suppresses the vibration of the disc, so the displacement magnitude is smaller at the resonant frequency.