The multiphysics model of ionic polymer-metal composite (IPMC) sensors proposed by Zhu has a significant advantage of being able to describe the dynamic sensor response, which highly depends on humidity, by explicitly considering solvent dynamics. However, it is difficult to perform analysis and simulation because Zhu’s model is represented by complex non-linear partial differential equations. This paper describes the symbolic finite element discretization of Zhu’s model and further discusses the essential dynamics of the reduced-order model extracted from the finite element model. The obtained linear ordinary differential equations, or the state equation, can be easily implemented in simulators via common programming languages. The simulation results of an in-house simulator implemented by MATLAB code show good agreement with those of direct numerical simulation by using commercial software, COMSOL. To further simplify the model, the minimum order required for an appropriate ap...

中文翻译：

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IPMC传感器的多物理场模型的符号有限元离散化和模型阶约化

Zhu提出的离子聚合物-金属复合材料（IPMC）传感器的多物理场模型具有显着的优势，即能够通过明确考虑溶剂动力学来描述高度依赖于湿度的动态传感器响应。但是，由于朱氏模型由复杂的非线性偏微分方程表示，因此很难进行分析和模拟。本文描述了朱氏模型的符号有限元离散化，并进一步讨论了从有限元模型中提取的降阶模型的基本动力学。可以通过通用编程语言在模拟器中轻松实现获得的线性常微分方程或状态方程。使用MATLAB代码实现的内部仿真器的仿真结果与使用商业软件COMSOL进行的直接数值仿真的结果吻合良好。为了进一步简化模型，需要适当订购的最低订购数量。