Static Analysis of Axisymmetric Thin Cylindrical Shell Using The Complementary Functions Method

The analysis of thin cylindrical shells is essential for a wide range of engineering applications, making it critical to understand their static behavior under various loading conditions. In this study, the static analysis of axisymmetric thin cylindrical shells is performed using the Complementary Functions Method (CFM). The research focuses on examining the static behavior of cylindrical shells made of homogeneous, isotropic, and linear elastic materials under various loading conditions. The governing differential equations for the static response of these structural elements are derived based on thin shell theory, utilizing the principle of minimum total potential energy. These equations are solved using CFM, an efficient numerical solution method. In this context, the CFM is coded in Wolfram Mathematica. To validate the accuracy and reliability of the proposed solution method, the results are compared with existing studies in the literature, demonstrating a high degree of consistency and confirming the effectiveness of the method. It has been observed that the type of loading significantly impacts the behavior of the shell.