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首页> 外文期刊>Arabian Journal for Science and Engineering >Flexural Wave Propagation Analysis of Embedded S-FGM Nanobeams Under Longitudinal Magnetic Field Based on Nonlocal Strain Gradient Theory
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Flexural Wave Propagation Analysis of Embedded S-FGM Nanobeams Under Longitudinal Magnetic Field Based on Nonlocal Strain Gradient Theory

机译：基于非局部应变梯度理论的纵向磁场作用下嵌入式S-FGM纳米束的弯曲波传播分析

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摘要

This paper investigates wave propagation of size-dependent functionally graded (FG) nanobeams resting on elastic foundation subjected to axial magnetic field based on the nonlocal strain gradient theory and Euler-Bernoulli beam model by using an analytical approach. The nonlocal beam model has a length scale parameter and captures the size influences. Material properties are spatially graded according to sigmoid distribution. Aderivation of the governing equations for the wave propagation analysis of nanoscale S-FGM beams is conducted. Then, the dispersion relations between wave frequency and phase velocity with the wave number is investigated. It is found that wave propagation characteristics of nonlocal S-FGM beams are influenced by various parameters including length scale parameter, material graduation, elastic foundation parameters and magnetic field intensity.
机译：本文基于非局部应变梯度理论和Euler-Bernoulli束模型，通过解析方法研究了在轴向磁场作用下位于弹性基础上的尺寸相关的功能梯度（FG）纳米束的波传播。非局部光束模型具有长度比例参数，并捕获尺寸影响。材料特性根据S型分布在空间上分级。进行了用于纳米级S-FGM光束的波传播分析的控制方程式的推导。然后，研究了波数与相速度之间的频散关系。结果表明，非局部S-FGM梁的波传播特性受长度尺度参数，材料分度，弹性基础参数和磁场强度等参数的影响。

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