SEMI-ANALYTICAL SOLUTION OF STABILITY OF COMPOSITE ORTHOTROPIC CYLINDRICAL SHELLS UNDERTIME DEPENDENT A-PERIODIC AXIALCOMPRESSIVE LOAD

Document Type: Research Note

Authors

1 1Department of Civil Engineering, Suleyman Demirel University, Isparta, Turkey

2 Technical Sciences Department, Kazakh Branch, Azerbaijan Teachers Institute, Kazakh, Azerbaijan

3 Department of Mathematics, Dumlupinar University, Kutahya, Turkey

4 Department of Civil Engineering, Ondokuz Mayis University, Samsun, Turkey

Abstract

In this study, the stability problem of a circular orthotropic cylindrical shell under the effect of an
axial compression varying with a power function of time is considered. At first, the modified Donnell type
dynamic stability and compatibility equations are obtained using Love’s shell theory. Applying the Galerkin
method and Rayleigh-Ritz variational techniques to these equations and taking the large values of loading
parameters into consideration, analytics are obtained for critical parameter values. The results show that
critical parameters are affected by loading parameters variations, ratio of the Young’s moduli variations,
radius to thickness variations and the power of time in the axial compression expression variations.
Comparing results with those in the literature validates the present analysis.

Keywords