电-热-力载下BNNTs增强压电梁的屈曲分析

Buckling analysis of piezoelectric beam reinforced with BNNTs under electro-thermo-mechanical loadings

运用线性应变几何关系及考虑温度效应的压电理论,建立了BNNTs增强压电梁的本构关系,通过变分推导出了结构的屈曲控制方程。算例中详细讨论了电压、温度、边界条件及体积比对BNNTs增强压电梁屈曲载荷的影响。研究结果表明,在BNNTs两端施加负或正电压可使压电梁的屈曲载荷增加或减小;BNNTs增强压电梁的屈曲载荷随着温度的降低以及硼氮纳米管所占体积比的增加而增大。

By employing linear strain and utilizing piezoelectric theory including thermal effects,the constitutive relations of the piezoelectric beam reinforced with BNNTs are es-tablished.The buckling governing equations of the structure are derived through variational principle.In numerical examples,the effects of voltage,temperature,boundary condition and volume fraction on the buckling load of piezoelectric beam reinforced with BNNTs are discussed in detail.The following conclusions may be drawn from the present work：apply-ing negative and positive voltage to BNNT leads to increase and decrease of the buckling load.The buckling load of piezoelectric beam reinforced with BNNTs increases with the de-crease of temperature,and also increases when the volume fraction of BNNT in matrix in-creases.