Abstract

A novel numerical analysis is used to investigate the response of linear systems under aperiodic excitations based on the Neural Harmonic Response Analysis method (NHRA). An idea of neural element discretization is proposed to turn the aperiodic excitations into the superposition of a series of periodic excitations. The method of harmonic response analysis can be applied in searching the solution of aperiodic steady response. So the direct steady-state analysis takes the place of traditional strategy which refers to searching for the solution through making the initial conditions into steady-state transient response. The algebraic algorithm application of direct steady-state analysis can help improve the computational efficiency. It also can avoid the defect that the steady-state solution is figured out until the free vibration attenuates. The examples show that the numerical results match well with the analytic solutions.

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