Wave propagation in layered piezoelectric rectangular bar: an extended orthogonal polynomial approach

Area of Science:

• Solid Mechanics
• Materials Science
• Acoustics

Background:

• Wave propagation in piezoelectric structures is crucial for device applications.
• Previous research focused on 1-D or semi-infinite models, limiting applicability.
• A need exists for analyzing wave propagation in 2-D piezoelectric structures.

Purpose of the Study:

• To extend the orthogonal polynomial series approach for wave propagation analysis.
• To investigate wave propagation in multilayered piezoelectric bars with rectangular cross-sections.
• To validate the extended approach using numerical comparisons.

Main Methods:

• Extension of the orthogonal polynomial series approach.
• Numerical analysis of wave propagation in 2-D piezoelectric structures.
• Comparison with results for purely elastic bars.

Main Results:

• The extended approach is validated against existing data for elastic bars.
• Dispersion curves for piezoelectric bars were successfully calculated.
• Electric potential distributions were determined, revealing wave characteristics.

Conclusions:

• The extended orthogonal polynomial series approach is effective for 2-D piezoelectric wave propagation.
• This method provides insights into the behavior of complex multilayered piezoelectric structures.
• The findings contribute to the understanding and design of piezoelectric devices.