Dinamička stabilnost viskoelastičnih kontinualnih sistema pod dejstvom slučajnih poremećaja
Dynamic stability of viscoelastic continuous systems subjected to random excitation
Author
Pavlović, Ivan R.
Mentor
Kozić, PredragCommittee members
Janevski, Goran
Rajković, Predrag

Trišović, Nataša

Golubović, Zoran
Metadata
Show full item recordAbstract
Dynamic stability of elastic and viscoelastic mechanical systems and nanostructures
under the influence of axial forces which are represented by time dependent stochastic
functions is analyzed in this dissertation. These disturbances can be wideband random
processes such as white noise, real noise, bounded noise etc., or regular random processes
with known probability density function distribution (Gaussian and harmonic process).
Almost sure boundaries for discreetisated stochastic differential equations which
contain wideband processes are obtained by maximal Liapunov exponent and moment
Liapunov exponent which are determined using the first and second order stochastic
averaging method. In case of non white processes stability boundaries are obtained by
Liapunov functional method. Influence of different physical and geometric parameters on
almost sure stochastic stability regions are analyzed.
Numerical verification for analytical results obtained by moment Liapunov exponent
method, a...s well as numerical determination of moment Liapunov exponents were performed
using the simulation based on Monte Carlo method.
Faculty:
Универзитет у Нишу, Машински факултетDate:
25-12-2014Projects:
- Dynamic stability and instability of mechanical systems subjected to stochastic excitations (RS-174011)