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Non-linear output frequency response functions for multi-input non-linear Volterra systems |
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| Authors: | Z K Peng Z Q Lang S A Billings |
| Affiliation: | 1. Department of Automatic Control and Systems Engineering , University of Sheffield , Mappin Street, Sheffield, S1 3JD, UK z.peng@sheffield.ac.uk;3. Department of Automatic Control and Systems Engineering , University of Sheffield , Mappin Street, Sheffield, S1 3JD, UK |
| Abstract: | The concept of non-linear output frequency response functions (NOFRFs) is extended to the non-linear systems that can be described by a multi-input Volterra series model. A new algorithm is also developed to determine the output frequency range of non-linear systems from the frequency range of the inputs. These results allow the concept of NOFRFs to be applied to a wide range of engineering systems. The phenomenon of the energy transfer in a two degree of freedom non-linear system is studied using the new concepts to demonstrate the significance of the new results. |
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