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Forced vibration analysis of functionally graded beams using nonlocal elasticity

机译：非局部弹性作用下功能梯度梁的强迫振动分析

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摘要

A forced vibration analysis of functionally graded (FG) nanobeams is considered based on the nonlocal elasticity theory. The solution is obtained by using Navier method for various shear deformation theories. The material properties of the FG nanobeam vary through the thickness direction according to a simple power law. Effects of the nonlocal parameter, different material composition and length-to-thickness ratio of considered element on the vibration and the effect of frequency ratio and different dynamic loading conditions on dimensionless maximum deflection and mode shapes of FG nanobeam are investigated. As a result the dynamic behavior of the FG nanobeam is influenced by the nonlocal effects. The dynamic deflections obtained by the classical (local) theory are smaller than obtained by the nonlocal theory due to the nonlocal effects.
机译：基于非局部弹性理论，考虑了功能梯度（FG）纳米束的强制振动分析。通过使用Navier方法获得各种剪切变形理论的解。 FG纳米束的材料特性根据简单的幂定律在厚度方向上会发生变化。研究了非局部参数，不同材料组成和所考虑元素的长厚比对振动的影响，以及频率比和不同动态载荷条件对FG纳米束无量纲最大挠度和模态形状的影响。结果，FG纳米束的动态行为受到非局部效应的影响。由于非局部效应，通过经典（局部）理论获得的动态挠度小于通过非局部理论获得的动态挠度。

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