Dynamic Analysis of Cylindrically Layered Structures Reinforced by Carbon Nanotube Using MLPG Method

Document Type : Research Papers


1 PhD Candidate, Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

2 Professor, Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

3 Associate Professor, Department of Industrial Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran


This paper deals with the dynamic analysis of stress field in cylindrically layered
structures reinforced by carbon nanotube (CLSRCN) subjected to mechanical shock loading.
Application of meshless local integral equations based on meshless local Petrov-Galerkin
(MLPG) method is developed for dynamic stress analysis in this article. Analysis is carried
out in frequency domain by applying the Laplace transformation on governing equations and
then the stresses are transferred to time domain, using Talbot inversion Laplace techniques.
The mechanical properties of the nanocomposite are mathematically simulated using four
types of carbon nanotube distributions in radial volume fraction forms. The propagation of
stresses is indicated through radial direction for various grading patterns at different time
instants. The effects of various grading patterns on stresses are specifically investigated.
Numerical examples, presented in the accompanying section 4 of this paper, show that
variation of *
CN V has no significant effect on the amplitude of radial stresses. Examples
illustrate that stress distributions in cylindrical layer structures made of a CNT type  are
more sensitive rather than other grading pattern types of CNTs. Results derived in this
analysis are compared with FEM and previous published work and a good agreement is
observed between them.


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