This article deals with the dynamic analysis in pad concrete foundation containing Silica nanoparticles (SiO₂) subject to seismic load. The foundation is covered by a piezoelectric layer for smart control of the structure. The weight of the building by a column on the foundation is assumed with an external force at the middle of the structure. The foundation is located in soil medium which is modeled by spring elements. The Mori–Tanaka low is utilized for calculating the equivalent material characteristics of the concrete foundation. The structural damping of the structure is considered based on Kelvin–Voigt model. The concrete structure is modeled by thick plate and the governing equations are derived based on first order shear deformation theory (FSDT) utilizing Hamilton’s principle. Applying differential quadrature method (DQM) and Newmark method, the dynamic deflection is obtained. The effects of applied voltage to smart layer, volume percent and agglomeration of SiO₂ nanoparticles, structural damping, soil medium and geometrical parameters of structure are shown on the dynamic deflection. Results indicate that with applying negative voltage, the dynamic deflection is reduced significantly. In addition, the SiO₂ nanoparticles decreases the dynamic deflection of the concrete foundation.

本文探讨了含有二氧化硅纳米粒子（SiO ₂）承受地震载荷。基础被压电层覆盖，用于智能控制结构。假定建筑物中部的外力假定建筑物的地基柱上的重量。地基位于以弹簧元素为模型的土壤介质中。Mori–Tanaka低压用于计算混凝土基础的等效材料特性。基于Kelvin-Voigt模型考虑结构的结构阻尼。利用厚板对混凝土结构进行建模，并利用汉密尔顿原理基于一阶剪切变形理论（FSDT）推导控制方程。应用微分求积法（DQM）和Newmark法，获得了动态挠度。施加电压对智能层的影响，在动态挠度上显示了_2个纳米粒子，结构阻尼，土壤介质和结构的几何参数。结果表明，施加负电压可显着降低动态挠度。另外，SiO ₂纳米颗粒降低了混凝土基础的动态挠度。