Nonlinear free vibration analysis of delaminated composite circular cylindrical shells

This study aims to present an analysis of nonlinear free vibrations of simply supported laminated composite circular cylindrical shells with throughout circumference delamination. Governing equations of motion are derived by applying energy methods; using Galerkin’s method reduced the nonlinear part...

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Bibliographic Details
Published in:Journal of vibration and control 2020-10, Vol.26 (19-20), p.1697-1707
Main Authors: Kamaloo, Abbas, Jabbari, Mohsen, Yarmohammad Tooski, Mehdi, Javadi, Mehrdad
Format: Article
Language:English
Subjects:
Circularity
Cylindrical shells
Delamination
Differential equations
Displacement
Energy methods
Equations of motion
Free vibration
Galerkin method
Laminar composites
Laminates
Material properties
Mathematical analysis
Nonlinear analysis
Nonlinear differential equations
Nonlinear equations
Nonlinearity
Numerical methods
Ordinary differential equations
Orthotropy
Partial differential equations
Shells
Vibration
Vibration analysis
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Summary:This study aims to present an analysis of nonlinear free vibrations of simply supported laminated composite circular cylindrical shells with throughout circumference delamination. Governing equations of motion are derived by applying energy methods; using Galerkin’s method reduced the nonlinear partial differential equations to a system of coupled nonlinear ordinary differential equations, which are subsequently solved using a numerical method. This research examines the effects of delamination on the oscillatory motion of delaminated composite circular cylindrical shells and then the effects of increase in delamination length, shell middle surface radius, number of layers, and orthotropy as changes in material properties on the nonlinearity of these types of shells. The results show that delamination leads to a decrease in frequency of oscillations and displacement. An increase in delamination length, shell middle surface radius, and orthotropy of layers decreases nonlinearity and displacement, whereas an increase in the number of layers increases nonlinearity and displacement. It is also observed that an increase in the circumferential wave number can decrease the effect of delamination.
ISSN:1077-5463
1741-2986
DOI:10.1177/1077546320902556