Dynamic displacement calculation in beams structures considering the effect of nanoparticles as reinforcement phase

Here, dynamic response of beam armed by nanoparticles under the seismic load is presented. The hyperbolic theory of beam is utilised for modelling of beam. Utilising the Mori-Tanaka approach, the properties of the beam is obtained. The agglomeration of nanoparticles is assumed in this article which is one of the good novelties of work. Utilising principle of Hamilton, the motion final equations are calculated. A numerical approach and method of Newmark are utilised for obtaining the dynamic displacement. This method is iterative and may be converged after several iteration utilising the MATLAB software. The influences of nanoparticles agglomeration and volume fraction and geometrical variables are presented on the dynamic displacement of the beam. The outcomes present that the nanoparticles may reduced the dynamic deflection.