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首页> 外文期刊>Journal of intelligent material systems and structures >Magnetic field effect on free vibration of smart rotary functionally graded nano/microplates: A comparative study on modified couple stress theory and nonlocal elasticity theory
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Magnetic field effect on free vibration of smart rotary functionally graded nano/microplates: A comparative study on modified couple stress theory and nonlocal elasticity theory

机译：磁场对智能旋转功能梯度纳米/微板自由振动的影响：修正耦合应力理论与非局部弹性理论的比较研究

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摘要

In this article, free vibration behavior of a rotating nano/microcircular plate constructed from functionally graded magneto-elastic material is simulated with the first-order shear deformation theory. For the sake of comparison, the nonlocal elasticity theory and the modified couple stress theory are employed to implement the small size effect in the natural frequencies behavior of the nano/microcircular plate. The governing equations of motion for functionally graded magneto-elastic material nano/microcircular plates are derived based on Hamilton's principle; comparing the obtained results with those in the literature, they are in a good agreement. Finally, the governing equations are solved using the differential quadrature method. It is shown that the vibrational characteristics of functionally graded magneto-elastic material nano/microcircular plates are significantly affected by non-dimensional angular velocity, size dependency of the Eringen's and the modified couple stress theories, and power law index for clamped and hinged boundary conditions. Results show that a critical point occurs by increasing the angular velocity and the effect of several parameters are changed after this point.
机译：在本文中，利用一阶剪切变形理论模拟了功能梯度磁弹性材料构成的旋转纳米/微圆板的自由振动行为。为了进行比较，采用非局部弹性理论和修正偶应力理论在纳米/微圆板的固有频率特性中实现了小尺寸效应。基于汉密尔顿原理，推导了功能梯度磁弹性材料纳米/微圆板的运动控制方程。将获得的结果与文献中的结果进行比较，它们之间具有很好的一致性。最后，使用微分求积法求解控制方程。结果表明，功能梯度磁弹性材料纳米/微圆板的振动特性受到无量纲角速度，Eringen的尺寸依赖性和改进的耦合应力理论以及夹紧和铰接边界条件的幂律指数的显着影响。 。结果表明，通过增加角速度会出现一个临界点，并且在此点之后会更改几个参数的作用。

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