A nonlinear surface-stress-dependent model for vibration analysis of cylindrical nanoscale shells conveying fluid

•A nonlinear surface-stress-dependent nanoshell model is developed.•Flowing fluid is taken into account in the cylindrical nanoshells.•Nonlinear free vibration of fluid-conveying cylindrical nanoshells is studied.•Surface stress influences nonlinear vibration characteristics of fluid-conveying nanos...

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Bibliographic Details
Published in:Applied Mathematical Modelling 2018-12, Vol.64, p.55-70
Main Authors: Wang, Yan Qing, Li, H.H., Zhang, Y.F., Zu, Jean W.
Format: Article
Language:English
Subjects:
Conveying
Cylindrical nanoscale shell
Cylindrical shells
Elasticity
Fluid
Fluids
Free vibration
Hamilton's principle
Method of multiple scales
Multiscale analysis
Nonlinear equations
Nonlinear free vibration
Shell theory
Stresses
Surface stress effect
Surface tension
Vibration analysis
Vibration simulators
Wall thickness
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Summary:•A nonlinear surface-stress-dependent nanoshell model is developed.•Flowing fluid is taken into account in the cylindrical nanoshells.•Nonlinear free vibration of fluid-conveying cylindrical nanoshells is studied.•Surface stress influences nonlinear vibration characteristics of fluid-conveying nanoshells.•Shell theory is used to model the present fluid-conveying nanostructures. A nonlinear surface-stress-dependent nanoscale shell model is developed on the base of the classical shell theory incorporating the surface stress elasticity. Nonlinear free vibrations of circular cylindrical nanoshells conveying fluid are studied in the framework of the proposed model. In order to describe the large-amplitude motion, the von Kármán nonlinear geometrical relations are taken into account. The governing equations are derived by using Hamilton's principle. Then, the method of multiple scales is adopted to perform an approximately analytical analysis on the present problem. Results show that the surface stress can influence the vibration characteristics of fluid-conveying thin-walled nanoshells. This influence becomes more and more considerable with the decrease of the wall thickness of the nanoshells. Furthermore, the fluid speed, the fluid mass density, the initial surface tension and the nanoshell geometry play important roles on the nonlinear vibration characteristics of fluid-conveying nanoshells.
ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2018.07.016