Analytical Spring-Mass Model of Impact Behavior of Double-Walled Carbon Nanotubes

Document Type : Original Research Paper


1 Mechanical Engineering Dept., Faculty of Engineering, Vali-e-Asr University of Rafsanjan, Iran

2 Mechanical Engineering Dept., Faculty of Engineering, Shahrekord University, Shahrekord, Iran


In this study, an impact behavior of spherical striker on a double-walled carbon nanotube (DWCNT) is presented based on a three degree of freedom spring-mass model and the finite element (FE) simulations. The semi-analytical solution of the transverse impact of a striker on a DWCNT is investigated by using the elasticity nonlocal theory of Euler-Bernoulli (EBT) and Timoshenko (TBT) nanobeams. The spring-mass system with spring constant is used that involves shear and bending deformation. The van der Waals (vdW) interaction between two layers of a DWCNT is included in the analytical model. The results of this analysis are compared with the results of the FE simulation.  The results from the spring-mass model demonstrated good agreement with FE simulation for various values of a DWCNT dimension, chirality, boundary condition, number of layered and also striker parameters such as mass and velocity. The DWCNT independent of vdW interaction is more flexible than DWCNT with vdW forces.