Dynamics of microscale pipes containing internal fluid flow: Damping, frequency shift, and stability

被引:86
作者
Rinaldi, Stephanie [1 ]
Prabhakar, Sairam [1 ]
Vengallatore, Srikar [1 ]
Paidoussis, Michael P. [1 ]
机构
[1] McGill Univ, Dept Mech Engn, Montreal, PQ H3A 2K6, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
DESIGN; PROBE;
D O I
10.1016/j.jsv.2009.10.025
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This paper initiates the theoretical analysis of microscale resonators containing internal flow, modelled here as microfabricated pipes conveying fluid, and investigates the effects of flow velocity on damping, stability, and frequency shift. The analysis is conducted within the context of classical continuum mechanics, and the effects of structural dissipation (including thermoelastic damping in hollow beams), boundary conditions, geometry, and flow velocity on vibrations are discussed. A scaling analysis suggests that slender elastomeric micropipes are susceptible to instability by divergence (buckling) and flutter at relatively low flow velocities of similar to 10 m/s. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1081 / 1088
页数:8
相关论文
共 32 条
[1]  
[Anonymous], 2002, Modeling MEMS and NEMS
[3]  
BRUIUS H, 2008, THEORETICAL MICROFLU
[4]   Weighing of biomolecules, single cells and single nanoparticles in fluid [J].
Burg, Thomas P. ;
Godin, Michel ;
Knudsen, Scott M. ;
Shen, Wenjiang ;
Carlson, Greg ;
Foster, John S. ;
Babcock, Ken ;
Manalis, Scott R. .
NATURE, 2007, 446 (7139) :1066-1069
[5]  
Chen G., 2005, PAPPAL SER MECH ENG
[6]   Fluid flow through nanometer-scale channels [J].
Cheng, JT ;
Giordano, N .
PHYSICAL REVIEW E, 2002, 65 (03) :1-031206
[7]   Fabrication of micromachined fountain pen with in situ characterization possibility of nanoscale surface modification [J].
Deladi, S ;
Berenschot, JW ;
Tas, NR ;
Krijnen, GJM ;
de Boer, JH ;
de Boer, MJ ;
Elwenspoek, MC .
JOURNAL OF MICROMECHANICS AND MICROENGINEERING, 2005, 15 (03) :528-534
[8]   A silicon resonant sensor structure for Coriolis mass-flow measurements [J].
Enoksson, P ;
Stemme, G ;
Stemme, E .
JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, 1997, 6 (02) :119-125
[9]  
Freund L.B., 2003, THIN FILM MAT
[10]   Demonstration of an ultracold micro-optomechanical oscillator in a cryogenic cavity [J].
Groeblacher, Simon ;
Hertzberg, Jared B. ;
Vanner, Michael R. ;
Cole, Garrett D. ;
Gigan, Sylvain ;
Schwab, K. C. ;
Aspelmeyer, Markus .
NATURE PHYSICS, 2009, 5 (07) :485-488