Time domain response of a piezoelectric layer

Area of Science:

• Engineering
• Physics
• Materials Science

Background:

• Existing one-dimensional models for piezoelectric transducers primarily operate in the frequency domain.
• There is a need for time-domain models to capture dynamic responses and secondary effects.

Purpose of the Study:

• To develop a one-dimensional time-domain model for the mechanical response of a piezoelectric layer.
• To include secondary effects arising from acoustic-electric feedback.
• To enable efficient calculation of secondary piezoelectric effects for arbitrary electrical sources.

Main Methods:

• Utilized Green's function for the Helmholtz equation with radiation boundary conditions.
• Employed methods of complex analysis.
• Validated model predictions against finite-difference time-domain numerical simulations.

Main Results:

• Successfully developed a one-dimensional time-domain model for piezoelectric layer mechanical response.
• The model incorporates secondary effects from acoustic-electric variable feedback.
• Model predictions show good agreement with numerical simulations.

Conclusions:

• The developed time-domain model provides an efficient tool for analyzing piezoelectric transducers.
• This model facilitates the understanding and calculation of secondary piezoelectric effects.
• Enables prediction of mechanical response to diverse electrical stimuli.