Internal inertia gradient effect on two mode magneto-elastic wave propagation,ZAMM - Journal of Applied Mathematics and Mechanics

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Internal inertia gradient effect on two mode magneto-elastic wave propagation
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-03-26 , DOI: 10.1002/zamm.202000274
Uğur Güven ₁

Affiliation

In this study, two-mode harmonic wave propagation for thick rods subjected to a transverse magnetic field is addressed. The analysis is based on the Mindlin-Herrmann rod theory and the unified strain/inertia gradient model. The effects of the strain and inertial gradient parameters on lower and upper modes under different magnetic field intensities are presented in detail and discussed. This study also includes the single-mode wave propagation analysis based on the Rayleigh-Bishop rod theory, as a special case. An overview of the analysis results shows that the wave propagations in the lower and the upper modes are affected by the strain and inertial gradient parameters, as expected. However, some significant differences are observed in the effects of the internal inertial gradient parameter on these modes. In addition, this analysis reveals the relationship between the inertial gradient and cut-off frequency.

中文翻译：

内惯性梯度对二模磁弹性波传播的影响

在这项研究中，解决了受横向磁场影响的粗棒的双模谐波传播。该分析基于 Mindlin-Herrmann 杆理论和统一应变/惯性梯度模型。详细介绍并讨论了应变和惯性梯度参数对不同磁场强度下的下模和上模的影响。作为特例，本研究还包括基于瑞利-毕晓普棒理论的单模波传播分析。分析结果的概述表明，正如预期的那样，低模和高模中的波传播受应变和惯性梯度参数的影响。然而，在内部惯性梯度参数对这些模式的影响中观察到了一些显着差异。此外，

更新日期：2021-03-26

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