Output frequency response function based design of additional nonlinear viscous dampers for vibration control of multi-degree-of-freedom systems

2013 ◽  
Vol 332 (19) ◽  
pp. 4461-4481 ◽  
Author(s):  
Z.Q. Lang ◽  
P.F. Guo ◽  
I. Takewaki
Keyword(s):  
Vibration Control ◽  
Frequency Response ◽  
Response Function ◽  
Frequency Response Function ◽  
Degree Of Freedom ◽  
Output Frequency ◽  
Viscous Dampers

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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