Voltage-actuated snap-through in bistable piezoelectric thin films: a computational study
Voltage-actuated snap-through in bistable piezoelectric thin films: a computational study
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双稳态压电薄膜中的电压驱动突跳：计算研究
DOI：
10.1088/1361-665x/aae8be
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发表时间：
2019-08-01
影响因子：
4.1
通讯作者：
Chen, Zi
中科院分区：
文献类型：
--
作者：
Liu, Yin;Zeng, Wei;Chen, Zi
双稳态压电结构响应于外加电压而表现出突跳运动，在实现快速驱动和结构变形等功能方面发挥着重要作用。然而，在这样的结构中的非线性快速通过行为的建模仍然是一个挑战。在本文中，我们发展了一个理论框架来模拟电压驱动的突变在双压电复合材料。基于能够描述压电材料中有限变形和电场耦合的修正的连续介质理论，我们建立了一个通用的非线性有限元框架，其中未知量是位移和表征施加电压大小的标量因子。利用传统的Riks方法，构造了一个与位移增量和标量因子有关的弧长补充方程，完成了线性化的增量方程。一个通用的解决方案，以获得所有未知量的增量，这使得自动跟踪的非单调平衡路径的演变。通过对简支双层梁、两端自由的三维正方形双层板和三维约束圆形双层板的电压驱动突跳现象的分析，验证了该方法的可行性和有效性.该方法将有利于高性能压电结构的数值设计。
Bistable piezoelectric structures exhibit snap-through motions in response to applied voltage and play important roles in achieving functions such as fast actuation and structural morphing. However, modeling the nonlinear snap-through behaviors in such structures remains a challenge. In this paper, we develop a theoretical framework to model the voltage-actuated snap-through in bistable piezoelectric composites. Based on a revised continuum theory capable of characterizing the coupled finite deformation and electric field in piezoelectric materials, we establish a universal nonlinear finite element framework where the unknowns are the displacement and a scalar factor characterizing the magnitude of the applied voltage. By using the traditional Riks method, a supplementary arc-length equation related to the increment of the displacement and the scalar factor is constructed to complete the linearized incremental equation. A general solution scheme for obtaining the increments of all unknowns is developed, which enables automatic tracing of the nonmonotonic equilibrium path evolution. The feasibility and efficiency of this numerical method were demonstrated by the voltage-actuated snap-through phenomena for several bistable piezoelectric structures, including a simply-supported bilayer beam, a 3D square bilayer plate with free ends and a 3D constrained circular bilayer plate. This method will benefit the numerical design of high-performance bistable piezoelectric structures.