Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints

This paper investigates the dynamic behavior of a cantilevered microtube conveying fluid, undergoing large motions and subjected to motion-limiting constraints. Based on the modified couple stress theory and the von Kármán relationship, the strain energy of the microtube can be deduced and then the...

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Main Author: Yong Guo
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2020/8852357
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spelling doaj-0f76d904360f49a6b842fb1a428798b12020-11-25T03:02:11ZengHindawi LimitedShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/88523578852357Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion ConstraintsYong Guo0School of Civil Engineering, Guizhou Institute of Technology, Guiyang, ChinaThis paper investigates the dynamic behavior of a cantilevered microtube conveying fluid, undergoing large motions and subjected to motion-limiting constraints. Based on the modified couple stress theory and the von Kármán relationship, the strain energy of the microtube can be deduced and then the governing equation of motion is derived by using the Hamilton principle. The Galerkin method is applied to produce a set of ordinary differential equations. The effect of the internal material length scale parameter on the critical flow velocity is investigated. By using the projection method, the Hopf bifurcation is demonstrated. The results show that size effect on the vibration properties is significant.http://dx.doi.org/10.1155/2020/8852357
collection DOAJ
language English
format Article
sources DOAJ
author Yong Guo
spellingShingle Yong Guo
Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints
Shock and Vibration
author_facet Yong Guo
author_sort Yong Guo
title Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints
title_short Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints
title_full Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints
title_fullStr Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints
title_full_unstemmed Fluid-Induced Nonlinear Vibration of a Cantilevered Microtube with Symmetric Motion Constraints
title_sort fluid-induced nonlinear vibration of a cantilevered microtube with symmetric motion constraints
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2020-01-01
description This paper investigates the dynamic behavior of a cantilevered microtube conveying fluid, undergoing large motions and subjected to motion-limiting constraints. Based on the modified couple stress theory and the von Kármán relationship, the strain energy of the microtube can be deduced and then the governing equation of motion is derived by using the Hamilton principle. The Galerkin method is applied to produce a set of ordinary differential equations. The effect of the internal material length scale parameter on the critical flow velocity is investigated. By using the projection method, the Hopf bifurcation is demonstrated. The results show that size effect on the vibration properties is significant.
url http://dx.doi.org/10.1155/2020/8852357
work_keys_str_mv AT yongguo fluidinducednonlinearvibrationofacantileveredmicrotubewithsymmetricmotionconstraints
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