The describing function method and free vibrations in nonlinear systems

Jacek Kudrewicz · International Journal of Circuit Theory and Applications · 1973

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(jω) 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.

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