Dynamic analysis of graded small-scale shells with porosity distributions under transverse dynamic loads

This paper studies the dynamic characteristics of small-scale cylindrical shells with distributed pores inside the material. Two length-scale coefficients related to the gradients of stress and strain fields have been considered in the context of the well-known non-local strain gradient theory. Pore distributions have been considered to be uniform and non-uniform in the transverse direction. First, the equations of motion have been derived via Hamilton's principle, then they are solved employing a semi-analytical trend. Graphical results are presented to express the dynamic characteristics of a small-scale cylindrical shell such as dynamic deflection and resonance frequency. It can be noticed that these characteristics are affected by pore distributions.