A valid inhomogeneous cell-based smoothed finite element model for the transient characteristics of functionally graded magneto-electro-elastic structures

A valid inhomogeneous cell-based smoothed finite element model for the transient characteristics of functionally graded magneto-electro-elastic structures
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用于功能梯度磁电弹性结构瞬态特性的有效的基于非均匀单元的平滑有限元模型

DOI:
10.1016/j.compstruct.2018.09.074
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发表时间:
2019-01
影响因子:
6.3
通讯作者:
Ma Zhichao
Ma Zhichao
中科院分区:
工程技术1区
文献类型:
--
作者:
Zhou Liming;Ren Shuhui;Liu Changyi;Ma Zhichao

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为了克服有限元模型刚度过大的缺陷,准确求解功能梯度磁电弹性材料结构的瞬态响应问题,提出了一种基于非均匀单元的光滑有限元模型(ICS-FEM)和一种修正的Newmark方法。将非齐次梯度光顺技术引入到有限元中,导出了质量矩阵M和等效刚度矩阵Keq,得到了与实际情况相符合的ICS-FEM。此外,该模型可以在现有的有限元软件中使用用户定义的子程序来执行。通过对悬臂梁、层状光纤陀螺传感器和光纤陀螺能量采集器的数值算例分析,证明了ICS-FEM的计算精度和可靠性高于FEM。ICS-FEM被应用于更复杂的结构,如FGturbine分层传感器和能量收集器。因此,这种求解功能梯度结构瞬态特性的方法可为智能结构的设计提供参考。
For the sake of surmounting defect of over-stiffness of finite element model (FEM) and accurately solving the transient response problems of structures comprise functionally graded magneto-electro-elastic (FGMEE) materials, we put forward an inhomogeneous cell-based smoothed finite element model (ICS-FEM) and a modified Newmark method. By employing the inhomogeneous gradient smoothing technique into FEM, the mass matrixMand the equivalent stiffness matrixKeqare derived, ICS-FEM that provides a stiffness coinciding with the actual condition is also obtained. Moreover, this model can be carried out with user-defined subroutines in the existing FEM software. Several numerical examples including cantilever beams, a layered FGMEE sensor and an FGMEE energy harvester are analyzed, which prove that ICS-FEM could achieve results with higher accuracy and reliability than FEM. ICS-FEM are applied to more complex structures such as FGMEE layered sensor and energy harvester. Therefore, such method to solve the transient characteristics of FGMEE structures can be a reference for the design of smart structures.
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