Dynamic bending analysis of laminated porous concrete beam reinforced by nanoparticles considering porosity effects

Mohammad Karegar, Mahmood Rabani Bidgoli and Hamid Mazaheri

Abstract

Dynamic response of a laminated porous concrete beam reinforced by nanoparticles subjected to harmonic transverse dynamic load is investigated considering structural damping. The effective nanocomposite properties are evaluated on the basis of Mori-Tanaka model. The concrete beam is modeled by the sinusoidal shear deformation theory (SSDT). Utilizing nonlinear strains-deflection, energy relations and Hamilton's principal, the governing final equations of the concrete laminated beam are calculated. Utilizing differential quadrature method (DQM) as well as Newmark method, the dynamic displacement of the concrete laminated beam is discussed. The influences of porosity parameter, nanoparticles volume percent, agglomeration of nanoparticles, boundary condition, geometrical parameters of the concrete beam and harmonic transverse dynamic load are studied on the dynamic displacement of the laminated structure. Results indicated that enhancing the nanoparticles volume percent leads to decrease in the dynamic displacement about 63%. In addition, with considering porosity of the concrete, the dynamic displacement enhances about 2.8 time.

Key Words

DQM; dynamic response; laminated concrete porous beam; nanoparticles; newmark method

Address

Mohammad Karegar:Department of Civil Engineering, Khomein Branch, Islamic Azad University, Khomein, Iran Mahmood Rabani Bidgoli:1)Department of Civil Engineering, Khomein Branch, Islamic Azad University, Khomein, Iran 2) Department of Civil Engineering, Jasb Branch, Islamic Azad University, Jasb, Iran Hamid Mazaheri:Department of Civil Engineering, Khomein Branch, Islamic Azad University, Khomein, Iran

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