Active vibration control of nanotube structures under a moving nanoparticle based on the nonlocal continuum theories

作者：Pourseifi M; Rahmani O^*; Hoseini S A H

来源：Meccanica, 2015, 50(5): 1351-1369.

DOI：10.1007/s11012-014-0096-6

• Nano-structures
• Vibration
• Nonlocal continuum theory
• Moving nanoparticle
• Active control

The active vibration control of nanotubes under action of a moving nanoscale particle is carried out using nonlocal elasticity theory of Eringen. The nanotube is simulated by an equivalent continuum structure under simply supported boundary conditions within the framework of nonlocal Rayleigh as well as Timoshenko beam theory. A Dirac-delta function is applied to model the location of the moving mass along the nanotube as well as its inertial effects. In the following a linear classical optimal control algorithm with a time varying gain matrix and displacement-velocity feedback is applied to vibration suppression in nanotube structure. The effects of the moving nanoparticle velocity, slenderness ratio of nanotube and small scale effect parameter on the dynamic deflection are studied in some detail for both the Rayleigh and Timoshenko theories. Finally the proficiency of the control algorithm in suppressing the response of the nanostructure under the effect of moving nanoparticle with different number of controlled modes and control forces is studied. The results of the present work can be used as a benchmark in future studies of nanomachines and nanosystems.

• 出版日期2015-5