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

Can Chang Liu; Shan Chai; Lu Liu; Hong Yan Li

doi:10.4028/www.scientific.net/AMR.433-440.871

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 433-440Neural Element Harmonic Response Analysis for the...

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

Abstract:

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.

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Periodical:

Advanced Materials Research (Volumes 433-440)

Pages:

871-875

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.433-440.871

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Online since:

January 2012

Authors:

Can Chang Liu, Shan Chai, Lu Liu, Hong Yan Li

Keywords:

Aperiodic Excitations, Harmonic Response Analysis, Multi-Frequencies Response, Neural Network (NN), Non-Linear Vibration

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