This article deals with the modeling of magneto-electro-elastic auxetic structures and developing a methodology in COMSOL Multiphysics® to assess the free vibration response of such structures when subjected to various electromagnetic circuit conditions. The triple energy interaction between elastic, magnetic, and electric fields are established in the COMSOL Multiphysics® using structural mechanics and electromagnetic modules. The multiphase magneto-electro-elastic material with different percentages of piezoelectric and piezomagnetic phases are used as the material. In the solid mechanics module, the piezoelectric and piezomagnetic materials were created in stress-charge and stress-magnetization forms, respectively. The electric and magnetic fields are defined in COMSOL Multiphysics® through electromagnetic equations. Further, the customized controlled meshing constituted of free tetrahedral and triangular elements is adapted to trade-off between the accuracy and the computational expenses. The eigenvalue analysis is performed to obtain the natural frequencies of the MEE re-entrant auxetic structures. Also, the efficiency of smart auxetic structures over conventional honeycomb structures is presented throughout the manuscript. In addition, the discrepancy in the natural frequencies of the structures considering coupled and uncoupled state is also illustrated. It is believed that the modeling procedure and its outcomes serve as benchmark solutions for further design and analysis of smart auxetic magneto-electro-elastic structures.

本文介绍了磁电弹性拉胀结构的建模，并在 COMSOL Multiphysics® 中开发了一种方法来评估此类结构在各种电磁电路条件下的自由振动响应。在 COMSOL Multiphysics® 中使用结构力学和电磁模块建立了弹性、磁场和电场之间的三重能量相互作用。具有不同比例的压电相和压磁相的多相磁电弹性材料被用作材料。在固体力学模块中，压电和压磁材料分别以应力-电荷和应力-磁化形式创建。COMSOL Multiphysics® 中通过电磁方程定义电场和磁场。更多，由自由四面体和三角形单元组成的定制控制网格适合于在精度和计算成本之间进行权衡。进行特征值分析以获得 MEE 重入拉胀结构的自然频率。此外，整个手稿都介绍了智能拉胀结构相对于传统蜂窝结构的效率。此外，还说明了考虑耦合和非耦合状态的结构固有频率的差异。相信建模过程及其结果可作为进一步设计和分析智能拉胀磁电弹性结构的基准解决方案。