Response statistics of two-degree-of-freedom non-linear system to narrow-band random excitation

2002 ◽  
Vol 37 (6) ◽  
pp. 1017-1028 ◽  
Author(s):  
Rong HaiWu ◽  
Xu Wei ◽  
Wang Xiangdon ◽  
Meng Guang ◽  
Fang Tong
Keyword(s):  
Linear System ◽  
Narrow Band ◽  
Random Excitation ◽  
Degree Of Freedom ◽  
Non Linear ◽  
Non Linear System ◽  
Two Degree Of Freedom

scholarly journals An approximate method for analysing non-linear systems subject to random excitation

2000 ◽  
Vol 22 (1) ◽  
pp. 1-10
Author(s):  
Nguyen Dong Anh ◽  
Ninh Quang Hai
Keyword(s):  
Linear System ◽  
Random Excitation ◽  
Solution Technique ◽  
Moment Equations ◽  
Closed Set ◽  
White Noise Excitation ◽  
Non Linear ◽  
Linearized System ◽  
Non Linear Systems ◽  
Non Linear System

A solution technique based on the representation of the response of the non-linear system by a polynomial of the response of the linearized system is presented. The relation between the original non-linear system and the linearized system is introduced by considering the so-called extended moment equations and their closed set is to be solved to determine unknowns. For the Vanderpol oscillator subject to white noise excitation, the technique gives good approximation to the response moments as well as the probability density function.

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