Open AccessResponse Calculation in Zero Memory Nonlinear System Based on Digital Filter Method
Author(s) -
Xu Fei
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1486/3/032030
Subject(s) - nonlinear system , control theory (sociology) , filter (signal processing) , digital filter , frequency response , computer science , linear system , nonlinear filter , zero (linguistics) , function (biology) , linear filter , path (computing) , coherence (philosophical gambling strategy) , mathematics , filter design , mathematical analysis , engineering , physics , artificial intelligence , programming language , linguistics , philosophy , statistics , control (management) , quantum mechanics , evolutionary biology , electrical engineering , computer vision , biology
Analysis of dynamic characteristics of structures often relies on linear theory in many practical applications. However, almost all structures show nonlinear characteristics when experienced with large enough excitations. Firstly, calculation of forced response in linear dynamic system using digital filter method is presented. Then, linear system is extended to nonlinear system. The nonlinear restoring force is treated as external loads and used to derive a generalized mathematical model to calculate the forced response in zero memory nonlinear system based on digital filter method. Finally, the ‘Reverse Path’ and multiple coherence function are used to estimate the frequency response function of underlying linear system. Numerical simulation of a multiple degree of freedom system with multiple nonlinear elements is used to verify the presented method. The results indicate that the presented model works well for calculating the forced response in zero memory nonlinear system.