A Harmonic Analysis for the Steady Analysis of Non-Linear Systems

Abstract:

A numerical analysis is used to investigate the response of non-linear systems under aperiodic excitations based on the harmonic response analysis method. An idea of fine discretization is proposed to turn the aperiodic excitations into the superposition of a series of periodic excitations in a tiny time interval. The method of perturbation is employed to transform the non-linear governing equation into a series of linear differential equations. Harmonic response analysis can be applied in the solution of aperiodic steady response. The algebraic algorithm of direct steady-state analysis can improve computational efficiency. The defect that the steady-state solution can be gotten out until the free vibration attenuates is avoided. The examples show that the numerical results match well with the analytic data.

• Periodical: Advanced Materials Research (Volumes 433-440)
• Pages: 5536-5541
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.433-440.5536
• Online since: January 2012
• Authors: Shan Chai, Can Chang Liu, Hong Yan Li
• Keywords: Aperiodic Excitations, Harmonic Response Analysis, Multi- Frequencies Response, Non-Linear Vibration, Sine Discretization

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