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A note on the spheroidal modes vibration of an elastic sphere in linear viscoelastic fluid
Physics Letters A ( IF 2.6 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.physleta.2020.126556
A. El Baroudi

Abstract Vibration characteristics of elastic nanostructures embedded in fluid medium have been used for biological and mechanical sensing, and also to investigate materials mechanical properties. An analytical approach based on the exact theory has been developed in this paper, to establish a new accurate and simple generalized frequency equation to predict spheroidal vibration of an elastic nanosphere, in a compressible viscoelastic fluid using linear Maxwell fluid model. To demonstrate the accuracy of the present approach, a comparison is made with the published theoretical results in the literature in some particular cases, which shows a very good agreement. Thus, the obtained frequency equation can be very useful to interpret the experimental measurements of vibrational dynamics of nanospheres and can serve as benchmark solution in design of liquid sensors.

中文翻译:

关于线性粘弹性流体中弹性球体的球模振动的注记

摘要 嵌入流体介质中的弹性纳米结构的振动特性已被用于生物和机械传感,也用于研究材料的机械性能。本文开发了一种基于精确理论的分析方法,以建立一个新的准确且简单的广义频率方程,以使用线性麦克斯韦流体模型预测弹性纳米球在可压缩粘弹性流体中的球体振动。为了证明本方法的准确性,在某些特定情况下与文献中已发表的理论结果进行了比较,结果显示出非常好的一致性。因此,
更新日期:2020-08-01
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