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Modeling the propagation of waves in geomechanics is an essential part of dynamic analysis. In geotechnics, the study of the interaction between the soil and the foundation is particularly interesting. In order to mimic low-speed operating types (less than 1,500 rpm), this study details the creation of a dependable and efficient approach for designing and fabricating the steel box container. When employed as a boundary, an absorbing layer drastically reduces the amount of wave reflection that occurs inside the limited region. The present effort is split into two halves. The first step is to calculate the damping layer’s damping constants, subgrade response modulus, damping ratio, shear modulus, vibration amplitude, and resonant frequency. The second section focuses on the dynamic study of the circular foundation by measuring the vibration amplitude, acceleration, velocity, and displacement caused by harmonic vibration machines. The findings demonstrate that simple material borders prevent the wave from dissipating as a consequence of reflection. Attenuation of waves is possible when the absorbing layer of energy represents semi-infinite soil. When absorbing just one layer, the vertical displacements at positions located at the box side boundary and its base decreased by 65, 63, and 67%, respectively. However, it dropped by 97, 96, and 98%, respectively, when two absorbent layers were used. On the basis of these promising results, the model results were compared with and without the absorbing layer. It would appear that the modeling of the absorbing layer, which is designed as two layers, has been satisfied for low speeds of harmonic vibration.

Several research studies have been conducted on the usage of nanoscale silica particles in concrete, based on the success of employing silica fume as an active pozzolan in concrete. The impact of several doses of nanosilicas (NpSs) in powder having a certain surface area of 160 m2/g and two particle sizes of porcelanite rock on the mechanical characteristics of lightweight porcelanite aggregate concrete was investigated. The addition of NpS particles significantly improved the workability of mixes, according to the results. The compressive strength of samples was influenced by NpS, with higher doses of NpS resulting in greater improvement. Porcelanite aggregate concrete’s compressive strength was unaffected by a modest percentage of different NpSs. NpS had an effect on the samples. Flexural strength also improved at all NpS dosages. The flexural strength of porcelanite aggregate concrete increased by a low percentage of various NpS.