Nonlinear free vibration analysis of delaminated composite circular cylindrical shells

• 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
• ISSN: 1077-5463; 1741-2986
• DOI: 10.1177/1077546320902556

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.