无限轴对称干燥和空气饱和多孔弹性圆柱的扭转振动

IF 2.5 3区 工程技术 Q2 MECHANICS
Selene Solorza-Calderón, Jonathan Verdugo-Olachea, Rajitha Gurijala, Jesus Antonio Sauceda-Cazares
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引用次数: 0

摘要

本文的目的是提供一个无限,各向同性,均匀,轴对称,多孔弹性圆柱的扭相速度的解析方程,采用无应力边界条件在空气饱和和干燥的情况下。孔隙弹性学研究具有固体骨架和充满流体的孔隙空间的材料。通常认为,当孔隙空间充满空气时,孔隙内几乎没有流体流动;因此,这种情况被认为是干燥的。与完全干燥的情况相比,在干燥的孔弹性圆柱体中分析波的传播是理解某些流体的存在如何改变波的行为的一个参考点。本文比较了用Biot理论、Biot粘滞扩展理论和弹性理论得到的干燥情况和空气饱和情况下的相速度。相速度的解析表达式是用介质和频率的性质来表示的,振动的扭转模态也作为一个参数出现,使我们能够识别被激发的是哪种扭转模态。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

On torsional vibrations of infinite axial-symmetric dry and air-saturated poroelastic cylinders

On torsional vibrations of infinite axial-symmetric dry and air-saturated poroelastic cylinders

This paper aims to provide analytical equations for the torsional phase velocity of an infinite, isotropic, homogeneous, axial-symmetric, poroelastic cylinder employing stress-free boundary conditions for air-saturated and dry cases. Poroelasticity studies materials with a solid skeleton and a fluid-filled pore space. Usually, it is assumed that when the pore space is filled with air, there is practically no fluid flow within the pores; therefore, this case is considered dry. The analysis of wave propagation in a dry poroelastic cylinder is a reference point for understanding how the presence of some fluid modifies the wave’s behavior compared to the completely dry scenario. This work compares the phase velocities for the dry case and the air-saturated case obtained using the Biot theory, Biot viscosity-extended theory, and elasticity theory. The analytical expression for phase velocity is expressed in terms of the properties of the medium and frequency, with the torsional mode of vibration also appearing as a parameter, allowing us to identify which torsional mode is being excited.

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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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