On the wave propagation in a high-speed rotating nanosystems via an optimization strategy and computer simulation

Abstract

The current article attempted to investigate the vibration of laminated high-speed rotating cylindrical nanoshells using nonlocal stress/strain gradient theory (NSGT). Hybrid optimization, with low computational cost as well as high accuracy, is presented to find a solution for optimization problems. In this regard, genetic algorithm (GA), generalized differential quadrature element method, as well as particle swarm optimization are incorporated to enhance the frequency of the laminated high-speed rotating cylindrical nanoshells via obtaining fiber angle of layers and optimum frequency. The boundary conditions and the equation of motions associated with laminated high-speed rotating cylindrical nanoshells, are extracted by employing Hamilton’s principle in addition to first-order shear deformation theory. The particle swarm optimization method, as an operator of the GA, was utilized to enhance genetic algorithms. Also, the applicability, accuracy, and convergence of the presented method are exhibited. Also, it is demonstrated that the converged restates can be attained provided that more than sixteen iterations are employed.