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The describing function method and free vibrations in nonlinear systems
Author(s) -
Kudrewicz J.
Publication year - 1973
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490010107
Subject(s) - vibration , transfer function , nonlinear system , neighbourhood (mathematics) , describing function , function (biology) , mathematics , mathematical analysis , nonlinear element , control theory (sociology) , computer science , physics , engineering , acoustics , control (management) , quantum mechanics , evolutionary biology , artificial intelligence , electrical engineering , biology
The most popular method of investigation of periodic oscillations in nonlinear systems is the describing function method. Two theorems on the existence of a free vibration in a given neighbourhood of the approximate vibration obtained by this method are presented in the paper. Moreover, for a typical transfer function K ( j ω) of the linear part of the system and a typical describing function of the non‐linear element, the theorem on the estimation of frequency of the free vibration is given.