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.

中文翻译：

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考虑温度效应的 BNNTs 增强压电板的动态稳定性

研究了轴向动态载荷作用下氮化硼纳米管（BNNT）增强压电板的动态稳定性。回归经典薄板理论和包含热效应的压电理论，建立了BNNTs增强压电板的本构方程。采用'XY'矩形模型计算材料常数。然后通过拉格朗日方程推导出结构的动力控制方程，并用Bolotin方法求解。在数值计算中，详细讨论了温度、电压、边界条件、体积分数、材料特性和静载荷参数对BNNTs增强压电板主失稳区的影响。