Vibration analysis of silica nanoparticle‐reinforced concrete pipes filled with compressible fluid surrounded by soil foundation

In this article, vibration of nanoparticles reinforced‐concrete pipes surrounded by soil medium is presented. The nanoparticles are silica where the effective material properties of the structure are obtained by Mori–Tanaka model considering agglomeration of nanoparticles. The pipe is filled with a non‐viscous, compressible fluid. The surrounded soil medium is simulated by Winkler medium using spring element. The cylindrical shell model is used for modeling of the structure. Based on the energy method and Hamilton’s principle, the motion equations are derived. Using an exact solution, the frequency of the structure is calculated. The effects of fluid velocity, volume percent and agglomeration of silica nanoparticles, boundary condition, and geometrical parameters of pipe are shown on the instability response of the structure. Results show that considering the agglomeration of silica nanoparticles, the frequency of the concrete pipe is decreased.