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An Inhomogeneous Cell-Based Smoothed Finite Element Method for Free Vibration Calculation of Functionally Graded Magnetoelectroelastic Structures

机译:基于电池的无均匀电池平滑有限元方法,用于功能梯度磁电弹性结构的自由振动计算

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摘要

To overcome the overstiffness and imprecise magnetoelectroelastic coupling effects of finite element method (FEM), we present an inhomogeneous cell-based smoothed FEM (ICS-FEM) of functionally graded magnetoelectroelastic (FGMEE) structures. Then the ICS-FEM formulations for free vibration calculation of FGMEE structures were deduced. In FGMEE structures, the true parameters at the Gaussian integration point were adopted directly to replace the homogenization in an element. The ICS-FEM provides a continuous system with a close-to-exact stiffness, which could be automatically and more easily generated for complicated domains, thus significantly decreasing the numerical error. To verify the accuracy and trustworthiness of ICS-FEM, we investigated several numerical examples and found that ICS-FEM simulated more accurately than the standard FEM. Also the effects of various equivalent stiffness matrices and the gradient function on the inherent frequency of FGMEE beams were studied.
机译:为了克服有限元方法(FEM)的过度和不精确的磁电耦合效应,我们介绍了功能梯度磁电弹性(FGMEE)结构的非均匀电池的平滑FEM(ICS-FEM)。然后推导出用于FGMEE结构的自由振动计算的ICS-FEM配方。在FGMEE结构中,直接采用高斯集成点处的真正参数以取代元素中的均质化。 ICS-FEM提供具有近精确刚度的连续系统,可以自动更容易地为复杂的域生成,从而显着降低数值误差。为了验证ICS-FEM的准确性和可信度,我们调查了几个数值示例,发现ICS-FEM比标准FEM更精确地模拟。还研究了各种等效刚度矩阵的效果和对FGMEE波束的固有频率的效果。

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