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

  • Nadhim M. FalehEmail author
  • Raad M. Fenjan
  • Ridha A. Ahmed
Regular Article

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.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Nadhim M. Faleh
    • 1
    Email author
  • Raad M. Fenjan
    • 1
  • Ridha A. Ahmed
    • 1
  1. 1.Al-Mustansiriah UniversityEngineering CollageBaghdadIraq

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