https://doi.org/10.1140/epjp/i2019-12540-3
Regular Article
Dynamic response of metal foam FG porous cylindrical micro-shells due to moving loads with strain gradient size-dependency
1
Department of Mechanical and Industrial Engineering, Qatar University, P.O. Box 2713, Doha, Qatar
2
School of Mechanical Engineering, College of Engineering, Sharif University of Technology, Tehran, Iran
3
Fidar Project Qaem Company, Darvazeh Dowlat, Co. Reg. number: 459126, Tehran, Iran
4
Department of Information Technology, College of Engineering, Payame Noor University (PNU), Tehran, Iran
* e-mail: mrb.barati@ymail.com
Received:
14
October
2018
Accepted:
27
January
2019
Published online:
22
May
2019
The dynamic characteristics of functionally graded (FG) metal foam cylindrical micro-scale shells in contact with a moving load will be analyzed thorough this paper accounting for strain-gradient size-dependency. In the material structure of a metal foam, pores can diffuse uniformly or non-uniformly. Based upon Laplace transform, the dynamical governing equations of the first-order micro-shell model can be established in a new domain. In order to go back into the time domain, an inverse Laplace transform will be required. Thus, on can express the time response or dynamic deflection of the micro-shell under moving load. In the presented results, it is easy to see the prominence of strain-gradient size-dependency, load velocity and pore dispersions in the dynamic behavior of metal foam micro-shells.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019