Affiliations: TU Darmstadt LOEWE-Zentrum AdRIA, Darmstadt,
Germany | TU Lodz, Department of Automation and Biomechanics,
Lodz, Poland | Department of Mathematics and Modeling, The Saratov
State Technical University, Saratov, Russia
Note: [] Corresponding author: J. Awrejcewicz, TU Darmstadt LOEWE-Zentrum
AdRIA, Bartningstr. 53, 64289 Darmstadt, Germany and TU Lodz, Department of
Automation and Biomechanics, 1/15 Stefanowskiego St., 90-924 Lodz, Poland.
E-mail: awrejcew@p.lodz.pl
Abstract: We investigate non-linear dynamics of flexible rectangular plates
subjected to external shear harmonic load action. We show that an application
of the classical and widely used Fourier analysis does not allow to obtain real
picture of the frequency vibration characteristics in each time instant. On the
other hand, we show that application of the wavelets approach allows to follow
frequency time evolutions. Our numerical results indicate that vibrations in
different plate points occur with the same frequencies set although their power
is different. Hence, the vibration characteristics can be represented by one
arbitrary taken plate point. Furthermore, using wavelets scenarios of
transitions from regular to chaotic dynamics are illustrated and discussed
including two novel scenarios not reported so far in the existing literature.
