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  Oscillation modes of piezoelements

All main oscillation modes can be excited in piezoelements:

  • Longitudinal mode along the length, width or thickness
  • Bending mode along the width or thickness
  • Radial mode
  • Thickness shear mode
  • Mechanical harmonics (overtones) of the main oscillation modes.


  • In general case the piezo element can have many resonant frequencies. However, the choice of the piezo element geometry and its electrodes permits to get a pure (monochrome) spectrum in the specified frequency range.

    Oscillation modesNature of deformationFrequency range (kHz)
    Longitudinal mode along the length, width or thickness продольные колебания 50 ÷ 150
    Bending mode along the thickness Bending mode along the thickness 1 ÷ 10
    Bending mode along the width Radial modes 10 ÷ 60
    Radial modes Radial modes 150 ÷ 700
    1-st overtone of radial mode oscillations 1-st overtone of radial mode oscillations 600 ÷ 1000
    Thickness shear mode сдвиг по толщине 800 ÷ 7000
    Longitudinal mode along the thickness with energy capture продольные по толщине на захвате энергии 3000 ÷ 30000
    1-st overtone of thickness oscillations изгиб по толшине 30000 ÷ 60000


    The classification shown in the table is not strict. The limits of the frequency range for each oscillation mode can be shifted to one or other side depending on physical constants of a piezo ceramic material, the piezo element design and available technological resources.


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