A novel approach to forced vibration behavior of thick-walled cylinders

• Dynamic analysis of pressure vessel structures is performed.
• A novel unified approach; Laplace transforms and Durbin's numerical inversion method is implemented.
• The method used allows the presence of continuous as well as discrete functions.
• The unified method used is accurate and more efficient than the conventional methods.

This study is to investigate the effect of anisotropy on the forced vibration behavior of hollow cylinders under dynamic internal pressure. The problems are solved analytically in the Laplace domain, and the results obtained are transformed to the real-time space using the modified Durbin's numerical inversion method. Durbin's numerical inverse method into the analysis of transient thermal stresses in annular fins is a novel approach. Durbin's numerical inverse method successfully implements the boundary value problem which can be solved in Laplace space. Various material models from the literature are used and corresponding radial displacement distributions and stress distributions are computed. Verification of the proposed method is done using benchmark solutions available in the literature for some special cases and virtually exact results are obtained. The anisotropy constant is a useful parameter from a design point of view in that it can be tailored for specific applications to control the stress distribution.