Analysis of time-invariant systems in the time and frequency domain by associated linear equations (ALEs)

J. A.Vazquez Feijoo; K. Worden; R. Stanway

doi:10.1016/j.ymssp.2005.03.004

Analysis of time-invariant systems in the time and frequency domain by associated linear equations (ALEs)

J. A.Vazquez Feijoo, K. Worden, R. Stanway

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	896-919
Number of pages	24
Journal	Mechanical Systems and Signal Processing
Volume	20
Issue number	4
DOIs	https://doi.org/10.1016/j.ymssp.2005.03.004
State	Published - May 2006
Externally published	Yes

Keywords

Higher-order frequency response functions
Non-linear systems
Volterra series

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10.1016/j.ymssp.2005.03.004

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abstract = "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.",

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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

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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 -

Analysis of time-invariant systems in the time and frequency domain by associated linear equations (ALEs)

Abstract

Keywords

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