Yang Zhi-Xin, He Xiao-Ting, Li Xue, Lian Yong-Sheng, Sun Jun-Yi
School of Civil Engineering, Chongqing University, Chongqing 400045, China.
Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, China.
Materials (Basel). 2018 Jul 9;11(7):1168. doi: 10.3390/ma11071168.
In this study, we obtained an electroelastic solution for functionally graded piezoelectric circular plates under the action of combined mechanical loads which include the uniformly distributed loads on the upper surface of the plate and the radial force and bending moment at the periphery of the plate. All electroelastic materials parameters are assumed to vary according to the same gradient function along the thickness direction. The influence of different functionally graded parameters on the elastic displacement and elastic stress, as well as the electric displacement and electric potential, was discussed by a numerical example. The solution presented in this study is not only applicable to the case of combined loads, but also to the case of a single mechanical load. In addition, this solution reflects the influence of the function gradient on the pure piezoelectric plate, which is helpful to the refined analysis and optimization design of similar structures.
在本研究中，我们获得了功能梯度压电圆板在组合机械载荷作用下的电弹性解，这些载荷包括板上表面的均匀分布载荷以及板周边的径向力和弯矩。假设所有电弹性材料参数沿厚度方向根据相同的梯度函数变化。通过数值算例讨论了不同功能梯度参数对弹性位移、弹性应力以及电位移和电势的影响。本研究提出的解不仅适用于组合载荷情况，也适用于单一机械载荷情况。此外，该解反映了功能梯度对纯压电板的影响，有助于对类似结构进行精细化分析和优化设计。
