具有边界阻尼的瑞利梁和剪切梁的精确频率方程

IF 0.8 4区工程技术 Q4 ACOUSTICS

International Journal of Acoustics and Vibration Pub Date : 2020-03-30 DOI:10.20855/ijav.2020.25.11422

M. Coleman, L. McSweeney

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引用次数: 3

摘要

虽然欧拉-伯努利梁是研究振动梁中最常用的模型，但通常需要一个捕捉旋转惯性或剪切变形的额外影响的模型。瑞利梁通过包括前一种效应而改进了欧拉-伯努利，而剪切梁是包括后一种效应的改进。虽然在能量守恒边界条件下，所有这些问题都得到了很好的研究，但在边界阻尼的情况下，没有一个问题得到解决。我们计算了受边界阻尼影响的瑞利梁和剪切梁的精确频率方程，在这个过程中，我们发现了这两个模型之间有趣的联系，尽管它们非常不同。

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The Exact Frequency Equations for the Rayleigh and Shear Beams with Boundary Damping

While the Euler-Bernoulli beam is the most commonly utilized model in studying vibrating beams, one often requires a model that captures the additional effects of rotary inertia or deformation due to shear. The Rayleigh beam improves upon the Euler-Bernoulli by including the former effect, while the shear beam is an improvement that includes the latter. While all of these problems have been well studied when subject to energy-conserving boundary conditions, none have been solved for the case of boundary damping. We compute the exact frequency equations for the Rayleigh and shear beams, subject to boundary damping and, in the process, we find interesting connections between the two models, despite their being very different.

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来源期刊

International Journal of Acoustics and Vibration ACOUSTICS-ENGINEERING, MECHANICAL

CiteScore

1.60

自引率

10.00%

发文量

审稿时长

12 months

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