Microfluid-induced nonlinear free vibration of microtubes

Microfluid-induced nonlinear free vibration of microtubes
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微流体引起的微管非线性自由振动

DOI:
10.1016/j.ijengsci.2013.11.014
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发表时间:
2014-03
影响因子:
6.6
通讯作者:
Fang, Bo
Fang, Bo
中科院分区:
工程技术1区
文献类型:
--
作者:
Yang, Tian-Zhi;Ji, Shude;Yang, Xiao-Dong;Fang, Bo

文献摘要

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本文研究了微流体引起的微管非线性自由振动。基于哈密顿原理和修正的力偶应力理论,提出了非线性运动方程的推导。考虑了中平面拉伸产生的几何非线性。当微管处于微米和亚微米尺度时,改进的力偶应力理论用于捕获与微结构相关的尺寸效应。然后研究静态后屈曲问题并分析与尺寸相关的后屈曲配置。利用同伦分析方法得到了非线性自由振动的近似解。详细讨论了内部材料长度尺度参数、外径、流速和泊松比对动态行为的影响。
The microfluid-induced nonlinear free vibration of microtubes is studied in this paper. A derivation of the nonlinear equation of motion is presented based on Hamilton’s principle and a modified couple stress theory. The geometric nonlinearity, arising from the mid-plane stretching, is taken into account. The modified couple stress theory is used to capture the micro-structure dependent size effects when the microtubes are at micron- and submicron scales. The static postbuckling problem is then studied and the size-dependent postbuckling configurations are analyzed. The approximate solution to the nonlinear free vibration is obtained using the homotopy analysis method. The influences of internal material length scale parameter, outer diameter, flow velocity, and Poisson’s ratio on the dynamic behavior are discussed in detail.
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