Dynamic Stability of Piezoelectric Plate Reinforced with BNNTs Considering Temperature Effect

Abstract

Subjected to axial dynamic load, the dynamic stability of piezoelectric plate reinforced with boron nitride nanotube (BNNT) is investigated. Recurring to classical thin plate theory and piezoelectric theory containing thermal effects, the constitutive equation of the piezoelectric plate reinforced with BNNTs is set up. Adopting ’XY’ rectangle model, the material constants are reckoned. Afterwards the dynamic control equation of the structure is deduced through Lagrangian equation and resolved by using the Bolotin method. In numerical calculations, the influence of temperature, voltage, boundary condition, volume fraction, material property and static loading parameter on the principal instability region of BNNTs reinforced piezoelectric plate are discussed in detail.

Keywords:

• dynamic stability
• piezoelectric plate
• BNNTs
• Lagrangian equation
• Bolotin method

Acknowledgments

The authors wish to acknowledge with great appreciation for the supports from “First Class Universities and Disciplines of the World” construction project of Changsha University of Science and Technology (No:2019IC02) and Innovative project of Changsha University of Science and Technology (No: 18ZDXK09).

Compliance with ethical standards

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the ‘First Class Universities and Disciplines of the World’ construction project of Changsha University of Science and Technology [2019IC02]; Innovative project of Changsha University of Science and Technology [18ZDXK09]