Free Vibrations of Open Cylindrical Shells with Various Elliptic Cross Sections

Abstract

We study free vibrations of open noncircular cylindrical shells with elliptic cross sections. A computational model based on the finite-element method is developed. Numerical calculations were carried out for several versions of boundary conditions imposed at the ends. The numerical analysis makes it possible to establish the dependence of frequencies and the modes of free vibrations of noncircular cylindrical shells on the eccentricity of the elliptic cross section and the type of cutting of the shell. The obtained results are important for the evaluation of the load-carrying capacity of structural shell elements of the corresponding shape.