Flexural vibrations of microscale pipes conveying fluid by considering the size effects of micro-flow and micro-structure
Flexural vibrations of microscale pipes conveying fluid by considering the size effects of micro-flow and micro-structure
复制标题
考虑微流和微结构尺寸效应的微尺度流体输送管道的弯曲振动
DOI：
10.1016/j.ijengsci.2013.06.006
复制
发表时间：
2013-10-01
影响因子：
6.6
通讯作者：
Wu, Y.
中科院分区：
文献类型：
--
作者：
Wang, L.;Liu, H. T.;Wu, Y.
本文通过修正经典的运动方程，考虑微流动和微结构的尺寸效应，对两端固支输流微尺度管道的面内和面外弯曲振动进行了理论研究。该理论模型包括一个与流速分布相关的附加参数和另一个代表微结构尺寸效应的材料长度尺度参数，对直管和弯管系统都有效。计算结果表明，材料长度尺度参数使微尺度管道的刚度增大，从而使临界流速增大，而流速剖面效应参数使临界流速减小。然而，对于弯曲管道，修改后的不可扩展理论预测，微流的影响，在平面内和平面外的自然频率可能是不可见的。(c)2013爱思唯尔有限公司保留所有权利。
In this paper, the in-plane and out-of-plane flexural vibrations of microscale pipes conveying fluid with clamped-clamped ends are examined theoretically, by modifying the classical equations of motion with consideration of the size effects of micro-flow and microstructure. The theoretical model including an additional parameter associated with the flow velocity profile and another material length scale parameter representing the size effect of micro-structure is valid for both straight and curved pipe systems. The results of calculating the evolution of natural frequencies for straight pipes with increasing mean flow velocity show that the material length scale parameter tends to stiffer the microscale pipe and hence increases the critical flow velocity while the parameter describing the effect of flow velocity profile would decrease the critical flow velocity. For curved pipes, however, the modified inextensible theory predicts that the effect of-micro-flow on the in-plane and out-of-plane natural frequencies may be not visible. (c) 2013 Elsevier Ltd. All rights reserved.