ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING, cilt.26, sa.3, 2026 (SCI-Expanded, Scopus)
This article examines the forced excitation caused by a vibrating generator machine on a system including an upper floating hyper-middle isolation layer, lower main foundation, to reduce the transmission of excitation from the upper slab to the main below the foundation of the structure. The floating slab is separated from the foundation with nanoparticles, with the hyper-elastic layer as an isolation layer. The main goal of using a hyperelastic layer is to reduce the structure vibrations. On the other hand, two other issues are investigated in this research. First, the addition of zinc oxide nanoparticles and iron oxide nanoparticles to concrete foundation materials to add stiffness and also the ability to create electric and magnetic fields to reduce the vibrations and vertical displacements of the main foundation of the system. Secondly, considering the porosity in the upper floating slab in order to refine the modeling and reduce the vibrations. This work presents a comprehensive mathematical model to characterize the dynamic response-in terms of vertical deflection and structural damage-of a nanocomposite foundation under mechanical excitation. The model systematically accounts for critical parameters, including the thickness of the hyperelastic isolation layer, nanoparticle volume fraction, material porosity, structural damping, and boundary conditions. Note that the neo-Hookean model has been used for the potential energy of the middle hyper-layer. Then, by employing Hamilton's principle, the nonlinear governing equations of the hybrid system are derived. Numerical implementation is carried out by using the differential quadrature method (DQM), integral quadrature method (IQM), and Newmark approach for calculating the vertical displacement and damage of a concrete floating slab- hyper elastomer isolation layer -nanoparticles reinforced concrete foundation. The results illustrate that the impact of considering the porosity parameter is dependent on the thickness of the middle hyperisolation layer. Furthermore, it is found that by increasing the Fe2O3 and ZnO nanoparticles volume fraction up to 3%, the vertical dynamic displacement decreases by about 30 and 20%, respectively. Moreover, it can be concluded that in the range of 8% iron oxide nanoparticles and 3% zinc oxide nanoparticles, the values of the maximum vertical displacement and the damage index are minimum.