Eur. Phys. J. Plus (2018) 133: 348
https://doi.org/10.1140/epjp/i2018-12152-5

Regular Article

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

Al-Mustansiriah University, Engineering Collage, Bab-Muadum, P.O. Box 46049, 10001, Baghdad, Iraq

^* e-mail: dr.nadhim@uomustansiriyah.edu.iq

Received: 28 May 2018
Accepted: 19 July 2018
Published online: 3 September 2018

Abstract

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.