Recent developments in the measurement and interpretation of higher order transfer functions from non-linear structures
✍ Scribed by D.M. Storer; G.R. Tomlinson
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 640 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0888-3270
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✦ Synopsis
Higher order frequency response functions form a good basis to describe a class of nonlinear structures which can be represented by polynomial equations. By defining their characteristics in terms of the leading diagonals of the general multi-dimensional FRFs, significant simplifications are made which leads to a practical procedure for experimentally measuring the higher order transfer functions that approximate to the exact higher order FRFs. This paper describes the theoretical and experimental aspects of these higher order quantities and for the first time shows that higher order transfer functions up to third order can be obtained in practice using standard sinusoidal excitation testing procedures. Distortions in the measured higher order transfer functions are shown to exist which are related to the effects of interactions arising from the use of a sine wave input excitation.