Analiza nelinearne dinamike mehaničkih struktura sa prigušenjem frakcionog reda primenom aproksimativnih metoda
Author
Nešić, Nikola D.Mentor
Simonović, JulijanaCommittee members
Manojlović, JelenaLazarević, Mihailo
Pavlović, Ivan R.
Jović, Srđan
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The thesis investigates dynamical behavior of two different mechanical
models, nano-beam on fractional viscoelastic foundation
and dynamical mass damper, which can be reduced to the nonlinear
fractional differential Duffing-type equation systems. Incremental
harmonic balance method with continuation method are used to
obtain amplitude-frequency response of the system’s steady state
solutions. Stability of periodic orbits is investigated in special cases
by using Floquet theory of stability. As comparative methods
for models described with fractional differential equations are used
among others the perturbation method of multiple time scales and
Newmark method. The influence of different system parameters on
dynamic behavior is examined.