R-function method in studying the vibrations of orthotropic shells with varying thickness

Abstract

The paper proposes a method to study the natural vibrations of orthotropic shells with varying thickness. The method employs the R-function and Ritz methods. The use of R-functions allows examining shells with complex planform and different boundary conditions. The method is validated by comparing the results it produces with those obtained by other methods. The effect of geometrical (the shape of the shell, radius of curvature, shape of the hole, thickness) and mechanical (boundary conditions, angle of anisotropy axes) parameters on the spectrum of natural vibrations is analyzed