A Numerical Integration Based Approach to the Analysis of Shear Deformable Anisotropic Shells of Revolution Subjected to Non-Axisymmetric Loading

Abstract

In the present study application of the multisegment numerical integration technique is extended to the static analysis of macroscopically anisotropic shells of revolution subjected to non-axisymmetric loading. The extension is achieved through the use of finite exponential Fourier transform of the fundamental shell of revolution equations. The governing shell of revolution equations are derived such that the full anisotropic form of the constitutive relations, including first order transverse shear deformation, are included in the analysis. For the non-axisymmetrically loaded shells of revolution, the article presents the detailed numerical integration based solution process of the transformed shell variables. The back-transformation process of the transformed variables to get the physical fundamental shell variables, and finally post-processing of the fundamental shell variables to calculate the derived field quantities such as deformations and stresses throughout the laminated shell structure have also been explained in-depth. Advantages of the numerical integration based analysis are highlighted. Special emphasis is given to the study of tailoring the winding angle of filament wound cylindrical satellite booms to minimize the thermal distortion due to typical nonaxisymmetric temperature differences that may occur in space.