Speaker
Description
Oscillations of nonlinear systems contain, compared to linear oscillations, a broad variety of possible phenomena, like existence of multiple solutions, super- (and sub-) harmonics in case of harmonic excitation, period multiplication or chaos. While methods for identification and solution of the underlying equations of motion in linear cases still offer some challenges, the investigation of nonlinear oscillations is much more challenging. The plenary lecture shows results of the work of the speaker and his research group of the past 25 years on nonlinear oscillations.
We are starting from classical semi-analytical methods, which still offer some interesting working fields in implementation and validity of the solutions, are looking on classical numerical procedures as well as on current machine learning applications. We are considering fundamental phenomena like multi-stable or intra- and interwell solutions as well as corresponding basins of attraction. Broad fields from academic to industrial applications are shown including the classical Duffing oscillator, low degree of freedom oscillators as well as multistable energy harvesting systems and squealing brakes.
With the application of new data analysis and machine learning methods the classical field of nonlinear oscillations has become challenging impulses and new possibilities are to be discovered.
