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Microsystem Technologies

, Volume 25, Issue 1, pp 197–210 | Cite as

Vibration analysis of suspended microchannel resonators characterized as cantilevered micropipes conveying fluid and nanoparticle

  • Ke Hu
  • Pan Wu
  • Lin WangEmail author
  • Hu-Liang Dai
  • Qin Qian
Technical Paper
  • 99 Downloads

Abstract

This paper performs a theoretical analysis of suspended microchannel resonators (SMRs) containing one single or two parallel channels, modeled here as cantilevered micropipes conveying fluid and nanoparticle, and investigates the effects of flow velocity and nanoparticle’s instantaneous position on natural frequency, stability, and damping. For two-channel micropipes (TCMPs), the governing equation is derived using the Newtonian approach by essentially accounting for the flow-induced tensile force due to the fact that the flow reverses direction near the free end of the micropipe. Results of eigenvalue analysis show that the presence of a moving nanoparticle can make originally stable micropipe systems become unstable. The stability of both single-channel micropipes (SCMPs) and TCMPs is strongly dependent on the instantaneous position of the moving nanoparticle. For a TCMP system, of particular interest is that in the absence of external damping, flutter instability may concurrently occurs in several modes even for infinitesimal flow velocity. The same TCMP system but with consideration of external damping, however, can retain stability at low flow velocity. These results highlight the importance of considering fluid–structure interactions in the design of SMRs containing internal flow and nanoparticle.

Notes

Acknowledgements

The authors gratefully acknowledge the support provided by the National Natural Science Foundation of China (Nos. 11622216 and 11572133).

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Ke Hu
    • 1
    • 2
  • Pan Wu
    • 1
    • 2
  • Lin Wang
    • 1
    • 2
    Email author
  • Hu-Liang Dai
    • 1
    • 2
  • Qin Qian
    • 1
    • 2
  1. 1.Department of Mechanics, College of Civil Engineering and MechanicsHuazhong University of Science and TechnologyWuhanChina
  2. 2.Hubei Key Laboratory for Engineering Structural Analysis and Safety AssessmentWuhanChina

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