力电湿多物理场耦合Cell-Based光滑有限元法研究

为了解决压电结构在实际工程应用中受到空气湿度影响的问题，基于压电材料的本构方程、几何方程和平衡方程提出了力电湿多物理场耦合Cell-based光滑有限元模型.建立了一种新型压电俘能器，并对其简化模型的静力学性能进行求解，对比了不同湿度变化对结构性能的影响.与有限元法的计算结果对比，Cell-based光滑有限元法采用较少的网格就能够达到与有限元法采用较多的网格相同的精度，验证了本方法的正确性和有效性.研究发现，较小的湿度变化给结构的广义位移带来了较大的影响.压电结构在潮湿环境下的性能研究为复合材料产品化过程提供了理论依据.

Cell-Based Smoothed Finite Element Method for Elastic-Electro-Moisture Multi-physical Coupling Field

In order to solve the problem that piezoelectric-based structures were influenced by the moisture in air among the practical engineering application， the Cell-based smoothed finite element method was proposed for the elastic-electro-moisture multi-physical coupling field based on the constitutive equations， geometric equations and equilibrium equations of piezoelectric material. This paper established a piezoelectric-based energy harvester， and further investigated the static behavior of the simplified model. Furthermore， the effects of different moisture changes on the structure performance were studied. Comparing with the numerical results of finite element method， the Cell-based smoothed finite element method employing fewer elements can achieve the same accuracy as finite element method， which verified the accuracy and effectiveness of the as-proposed Cell-based smoothed finite element method. The numerical results show that a slight moisture change provides a strong effect on the generalized displacements of the structures. The investigation of piezoelectric structures under the humid environment provides the theoretical support for composite material productization process.