Neural Element Harmonic Response Analysis for the Aperiodic Steady Response of Non-linear Systems

摘要

A novel numerical analysis was used to investigate the response of non-linear systems undergoing aperiodic excitations based on the Neural Harmonic Response Analysis method (NNHRAM). A numerical method of neural element discretization was proposed to turn the aperiodic excitations into superposition of a series of periodic excitations. The method of perturbation was applied to transform the non-linear governing equation into a series of linear differential equations. The method of NNHRAM could be used to solve the aperiodic steady response. The algebraic algorithm of direct steady-state analysis can improve the computational efficiency. The examples showed that the numerical results match well with the analytic solution.