Abstract

Buckling analysis of functionally graded piezoelectric nanoshell is studied in this paper based on the higher-order shear and normal deformation theory and accounting thickness stretching effect. The nanoshell is subjected to axial load, applied electric potential and thermal loads. Thickness stretching effect is accounted in the analysis based on higher-order shear and normal deformation theory. Small scale effects are accounted based on the Eringen nonlocal elasticity theory. The Navier solution is used for the buckling analysis of the cylindrical nanoshell with simply-supported boundary conditions. The accuracy and trueness of the present paper is justified using comparison with literature. The importance of the present analysis and corresponding results is justified using presentation of results with and without thickness stretching effect. A large parametric analysis is presented to investigate the influence of significant parameters such as dimensionless small scale parameter, length to radius ratio, thickness to radius ratio, temperature rising and applied electric voltage on critical buckling axial loads. One can conclude that the critical buckling axial loads are decreased with increase of small scale parameters and applied electric potential.

摘要

基于高阶剪切和法向变形理论并考虑厚度拉伸效应，研究了功能梯度压电纳米壳的屈曲分析。纳米壳承受轴向载荷，施加的电势和热载荷。在基于高阶剪切和法向变形理论的分析中考虑了厚度拉伸效应。小规模效应是根据Eringen非局部弹性理论得出的。Navier解决方案用于具有简单支撑边界条件的圆柱纳米壳的屈曲分析。通过与文献比较，证明了本文的准确性和真实性。使用具有和不具有厚度拉伸效应的结果的表示来证明本分析和相应结果的重要性。提出了一个大型参数分析来研究重要参数（例如无量纲小尺度参数，长度与半径之比，厚度与半径之比，温度升高和施加的电压）对临界屈曲轴向载荷的影响。可以得出结论，临界屈曲轴向载荷随着小尺度参数和施加电势的增加而减小。