TY - JOUR
T1 - Analysis of time-invariant systems in the time and frequency domain by associated linear equations (ALEs)
AU - Feijoo, J. A.Vazquez
AU - Worden, K.
AU - Stanway, R.
PY - 2006/5
Y1 - 2006/5
N2 - Previous work has demonstrated that if a system possesses a Volterra series representation, it can be described by a series of associated linear equations (ALEs). Each ALE produces a particular Volterra operator. The versatility of this methodology allows the independent observation of each harmonic order component in the system response. In the frequency domain the associated frequency response functions (AFRFs) are shown to be easier to analyse and interpret than the more complicated higher-order frequency response functions (HFRFs). Based on a single bi-dimensional graph a full analysis of the system's harmonic behaviour is carried out for the single degree of freedom (sdof) case.
AB - Previous work has demonstrated that if a system possesses a Volterra series representation, it can be described by a series of associated linear equations (ALEs). Each ALE produces a particular Volterra operator. The versatility of this methodology allows the independent observation of each harmonic order component in the system response. In the frequency domain the associated frequency response functions (AFRFs) are shown to be easier to analyse and interpret than the more complicated higher-order frequency response functions (HFRFs). Based on a single bi-dimensional graph a full analysis of the system's harmonic behaviour is carried out for the single degree of freedom (sdof) case.
KW - Higher-order frequency response functions
KW - Non-linear systems
KW - Volterra series
UR - http://www.scopus.com/inward/record.url?scp=31044447637&partnerID=8YFLogxK
U2 - 10.1016/j.ymssp.2005.03.004
DO - 10.1016/j.ymssp.2005.03.004
M3 - Artículo
SN - 0888-3270
VL - 20
SP - 896
EP - 919
JO - Mechanical Systems and Signal Processing
JF - Mechanical Systems and Signal Processing
IS - 4
ER -