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Piezo-Acoustic Transducer

Piezo-Acoustic Transducer. A Piezo-Acoustic Transducer. This examples shows how to couple piezoelectric vibrations to the acoustics pressure wave properties in a fluid The physics involved are: Piezoelectric stress-strain, coupled to voltage and electric field Pressure acoustics in a fluid

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Piezo-Acoustic Transducer

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  1. Piezo-Acoustic Transducer

  2. A Piezo-Acoustic Transducer This examples shows how to couple piezoelectric vibrations to the acoustics pressure wave properties in a fluid The physics involved are: Piezoelectric stress-strain, coupled to voltage and electric field Pressure acoustics in a fluid The analysis types are: Static and Frequency response Important features shown are: Bidirectional coupling of structural vibrations with an acoustics pressure field Perfectly Matched Layers (PML) for optimal absorption of outgoing radiation

  3. Piezoelectric Materials Deform in Response to Electric Charge Respond very quickly – with great force but small displacement Examples: Quartz, PZT-4, PZT-5, PZT-11, AlN Part of the MEMS and Structural Mechanics Modules 100 volts Ground Default Poling Direction (Z – Straight up)

  4. Model Definition – PZT MEMS Piezoelectric component (axisymmetry) - Static Rectangle (W = 1mm, H=0.5mm, Top at 0,0) Symmetric Side, Roller Bottom 100 Volts Top, Ground Bottom Solve Contour: Disp, fill; Arrow: Displacement

  5. Surrounding fluid/transducer coupling – Harmonic 2 Circles R=4mm & R=5mm Ctr: 0,0 Switch Both to freq / harmonic at 200 KHz c=343, f=200KHz, L=1.7 mm, hmax=0.34mm PML: Spherical BC: AxiSymmetry BC: Piezo-side: p, BC: Acoustic-side: Accel: w_tt_smpaxi Solve Axis of symmetry PML Air Piezotransducer Model Definition – Acoustics

  6. Piezo Acoustic Transducer - Results Surface: Pressure, 3D-Pressure Contour: Pressure 15 levels PML – Kills Outgoing Waves

  7. Start in the Model Navigator by adding axisymmetric piezo-static analysis

  8. Define geometry by loading a DXF or MPHBIN file or by drawing rectangles and circles + using Boolean operations

  9. For axially symmetric (cylindrically symmetric) models, geometry needs to be defined for r>0

  10. Subdomain Settings: De-activate piezo-physics in subdomains 2 and 3 by clearing Active in this domain checkbox

  11. Subdomain Settings: For subdomain 1, select PZT-5H from material library

  12. The material data fields for the Elasticity matrix, Coupling matrix, and Permittivity matrix are filled out accordingly

  13. Continued Modeling Continue by: Running the static piezo-simulation to make sure you get a reasonable solution (verify your boundary conditions this way) Add a time-harmonic acoustics application mode (with unknown variable p) from the acoustics module. Deactivate the acoustics application mode in the piezo domain Switch both the piezo and the acoustics application modes to frequency response with frequency in sync at 200 KHz Add the spherical PML Set axisymmetry boundary conditions For the coupling: On the piezo side, set normal pressure to p On the acoustics side, set acceleration to second derivative of displacement: w_tt_smpaxi Solve

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