Abstract
Abstract In this research, forced vibration analysis of a concrete slab reinforced by SiO2 nanoparticles is investigated. The Mori-Tanaka low is used for obtaining the material properties of nano-composite structure and considering agglomeration effects. By means of third order shear deformation theory or Reddy theory, the total potential energy of system is calculated. Also, using Hamilton’s principle, the coupled motion equations are obtained. Based on the harmonic differential quadrature method (HDQM), finite element method (FEM) and Newmark method, the frequency response of system is calculated. The effects of volume percent and agglomeration of SiO2 nanoparticles, boundary conditions and geometrical parameters of structure are shown on the frequency response of system. Results show that with growing the volume percent of SiO2 nanoparticles up to 0.37, the linear frequency of the structure is increased and the maximum dynamic deflection is decreased.
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