The construction and comparison of damage detection index based on the nonlinear output frequency response function and experimental analysis

2018 ◽  
Vol 427 ◽  
pp. 82-94 ◽  
Author(s):  
Hanling Mao ◽  
Weili Tang ◽  
Yang Huang ◽  
Dahai Yuan ◽  
Zhenfeng Huang ◽  
...  
Keyword(s):  
Damage Detection ◽  
Frequency Response ◽  
Response Function ◽  
Experimental Analysis ◽  
Frequency Response Function ◽  
Output Frequency

Relationship between harmonic balance method and non-linear output frequency response function approach

2007 ◽  
Vol 221 (12) ◽  
pp. 1533-1543 ◽  
Author(s):  
Z K Peng ◽  
Z Q Lang
Keyword(s):  
Frequency Response ◽  
Response Function ◽  
Harmonic Balance ◽  
Frequency Response Function ◽  
Harmonic Balance Method ◽  
Balance Method ◽  
Output Frequency ◽  
Non Linear ◽  
Harmonic Components ◽  
The Relationship

The current paper is concerned with the investigation of the relationship between the harmonic balance method (HBM) and the non-linear output frequency response function (NOFRF) approach in the analysis of non-linear systems. Both are applied to the Duffing's oscillator to demonstrate their relationships. The results reveal that, if the Volterra series representation of a non-linear system is convergent, the harmonic components calculated by the NOFRFs are a solution of the HBM. Moreover, the simulation studies show that, in the convergent cases, the NOFRF method can give more accurate results for the higher-harmonic components than the HBM. The relationship investigated in the current study between the two methods should help researchers and engineers to understand the HBM and the NOFRF methods.

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