Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5016535 | International Journal of Non-Linear Mechanics | 2017 | 26 Pages |
Abstract
In the present part of the paper various problems of non-linear dynamics of nano-beams within the modified couple stress theory as well as the Bernoulli-Euler, Timoshenko, and Sheremetev-Pelekh-Reddy-Levinson models are studied taking into account the geometric non-linearity. Different characteristics of the vibrational process, including Fourier spectra, wavelet spectra, phase portraits, Poincaré maps as well as the largest Lyapunov exponents, are studied for the same physical-geometric parameter with and without consideration of the size-dependent behaviour. Vibration graphs are constructed and analysed, and scenarios of transition from regular to chaotic vibrations are illustrated and discussed.
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Authors
A.V. Krysko, J. Awrejcewicz, M.V. Zhigalov, S.P. Pavlov, V.A. Krysko,