Dynamic analysis of nanotube structures under excitation of a moving nanoparticle is carried out using nonlocal continuum theory of Eringen. To this end, the nanotube structure is modeled by an equivalent continuum structure (ECS) according to the nonlocal Euler–Bernoulli, Timoshenko and higher order beam theories. The nondimensional equations of motion of the nonlocal beams acted upon by a moving nanoparticle are then established. Analytical solutions of the problem are presented for simply supported boundary conditions. The explicit expressions of the critical velocities of the nonlocal beams are derived. Furthermore, the capabilities of various nonlocal beam models in predicting the dynamic deflection of the ECS are examined through various numerical simulations. The role of the scale effect parameter, the slenderness ratio of the ECS and velocity of the moving nanoparticle on the time history of deflection as well as the dynamic amplitude factor of the nonlocal beams are scrutinized in some detail. The results show the importance of using nonlocal shear deformable beam theories, particularly for very stocky nanotube structures acted upon by a moving nanoparticle with low velocity.
Keivan, K (2019). Assessment of nanotube structures under a moving nanoparticle using nonlocal beam theories. Afribary.com: Retrieved December 07, 2019, from https://afribary.com/works/assessment-of-nanotube-structures-under-a-moving-nanoparticle-using-nonlocal-beam-theories
Kiani, Keivan. "Assessment of nanotube structures under a moving nanoparticle using nonlocal beam theories" Afribary.com. Afribary.com, 01 Jul. 2019, https://afribary.com/works/assessment-of-nanotube-structures-under-a-moving-nanoparticle-using-nonlocal-beam-theories . Accessed 07 Dec. 2019.
Kiani, Keivan. "Assessment of nanotube structures under a moving nanoparticle using nonlocal beam theories". Afribary.com, Afribary.com, 01 Jul. 2019. Web. 07 Dec. 2019. < https://afribary.com/works/assessment-of-nanotube-structures-under-a-moving-nanoparticle-using-nonlocal-beam-theories >.
Kiani, Keivan. "Assessment of nanotube structures under a moving nanoparticle using nonlocal beam theories" Afribary.com (2019). Accessed December 07, 2019. https://afribary.com/works/assessment-of-nanotube-structures-under-a-moving-nanoparticle-using-nonlocal-beam-theories