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Computers and Concrete
  Volume 19, Number 3, March 2017 , pages 333-338

Vibration analysis of silica nanoparticles-reinforced concrete beams considering agglomeration effects
Maryam Shokravi

    In this paper, nonlinear vibration of embedded nanocomposite concrete is investigated based on Timoshenko beam model. The beam is reinforced by with agglomerated silicon dioxide (SiO2) nanoparticles. Mori-Tanaka model is used for considering agglomeration effects and calculating the equivalent characteristics of the structure. The surrounding foundation is simulated with Pasternak medium. Energy method and Hamilton\'s principal are used for deriving the motion equations. Differential quadrature method (DQM) is applied in order to obtain the frequency of structure. The effects of different parameters such as volume percent of SiO2 nanoparticles, nanoparticles agglomeration, elastic medium, boundary conditions and geometrical parameters of beam are shown on the frequency of system. Numerical results indicate that with increasing the SiO2 nanoparticles, the frequency of structure increases. In addition, considering agglomeration effects leads to decrease in frequency of system.
Key Words
    vibration of concrete beam; agglomerated SiO2 nanoparticles; Pasternak medium; DQM; Mori-Tanaka model
Maryam Shokravi: Buein Zahra Technical University, Buein Zahra, Qazvin, Iran

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