边界阻尼作用下Euler-Bernoulli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 : 2020-06-30 DOI:10.20855/ijav.2020.25.21574

A. Biselli, M. Coleman

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引用次数: 2

摘要

欧拉-伯努利（E-B）梁是研究振动梁中最常用的模型。在能量守恒边界条件下，这个问题的精确频率方程是众所周知的；然而，相应的耗散问题只能通过渐近方法近似求解。当然，当观察光谱的低端时，这些方法并不准确。在这里，我们求解了边界阻尼作用下E-B梁的精确频率方程。提供了许多数值示例，显示了每种情况下前五个频率的复波数和指数阻尼率的曲线图。其中一些结果令人惊讶。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Exact Frequency Equations for the Euler-Bernoulli Beam Subject to Boundary Damping

The Euler-Bernoulli (E-B) beam is the most commonly utilized model in the study of vibrating beams. The exact frequency equations for this problem, subject to energy-conserving boundary conditions, are well-known; however, the corresponding dissipative problem has been solved only approximately, via asymptotic methods. These methods, of course, are not accurate when looking at the low end of the spectrum. Here, we solve for the exact frequency equations for the E-B beam subject to boundary damping. Numerous numerical examples are provided, showing plots of both the complex wave numbers and the exponential damping rates for the first five frequencies in each case. Some of these results are surprising.

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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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