Data-driven solution for nonlinear wave dispersion of sandwich nanoshell with piezoelectric patch layers

Abstract

It’s all about speed and scale in the quickly evolving corporate world of today, and business executives are looking to cutting-edge technology to help them find answers to their most difficult problems. A data-driven strategy provides the means to more thoroughly comprehend, confirm, and quantify decision-making outcomes. It is possible to feel greater confidence in the decisions made by the designers in a data-driven business. So, using this essential technique, and via mathematical modeling, the nonlinear wave dispersion of a sandwich nanoshell made of a Bi-directional functionally graded (BD-FG) core, and piezoelectric patch is investigated. In the mathematical modeling, first-order shear deformation theory with moderately thick hypothesis is used to model the displacement fields of the current work for both layers. After that, compatibility conditions are presented to model interface equations between the layers. For correct and exact modeling of the current nanosystem, nonlocal strain gradient theory with length scale and nonlocal parameters is presented. For solving the nonlinear equations, the harmonic solution technic for the displacement domain, and the multiple scale method for the time domain are presented in the solution procedure section. After that, to decrease the computational cost of the current work, the data-driven solution is presented for solving the nonlinear vibration problem. Comparing the results of current work with the outcomes of data-driven solutions and another published article can verify the results. Finally, in the results section, the influences of various factors such as length scale, nonlocal, applied voltage, area of piezoelectric patch, FG power index, and geometry condition of the structure on the nonlinear phase velocity of the BD-FG nanoshell coupled with piezoelectric patch is presented.