On the Vibrational Analysis of Cantilevered Fluid Conveying Micro-Beams Rested on Various Elastic Foundations

Document Type : Research Article

Authors

1 Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

2 Mechanical Engineering department, Tarbiat Modares University, Tehran, Iran

Abstract

 In this research, using modified couple stress theory, dynamic stability of a cantilevered fluid conveying beam embedded in several types of surrounded elastic media has been studied. The governing equation for lateral vibrations of the micro-tube conveying fluid is derived using the extended Hamilton’s principle. The numerical results are obtained by employing the extended Galerkin’s method. For the sake of validation, the acquired results for simple cases are compared and outcomes indicate a very good agreement with those of previous studies available in the literature. The stability diagrams of different configurations with different flow velocities are studied and the effects of various factors such as material length scale, external diameter and different elastic properties on the stability of the system are considered. Results indicate that elastic surrounding media may enlarge the stability regions significantly at larger values of mass ratio parameter while decrease it for smaller values of mass ratio parameter. Furthermore, using elastic media mathematically defined by series functions provides the capability to simulate almost any real time operational environment the micro-tube embedded in and results in an optimal stability state of the micro-structure carrying fluid flow.

Keywords

Main Subjects

References

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Amirkabir Journal of Mechanical Engineering
Volume 52, Issue 1
April 2020
Pages 3-16

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