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Dinamička stabilnost viskoelastičnih kontinualnih sistema pod dejstvom slučajnih poremećaja

Dynamic stability of viscoelastic continuous systems subjected to random excitation

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Ivan_Pavlovic.pdf (9.314Mb)
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Author
Pavlović, Ivan R.
Mentor
Kozić, Predrag
Committee members
Janevski, Goran
Rajković, Predrag
Trišović, Nataša
Golubović, Zoran
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Abstract
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 факултет
Date:
25-12-2014
Projects:
  • Dynamic stability and instability of mechanical systems subjected to stochastic excitations (RS-174011)
Keywords:
Viskoelastični mehanički sistemi / Viscoelastic system / nanostructure / random process / Liapunov exponent / moment Liapunov exponent / Liapunov functional / stochastic averaging / Monte Carlo method / nanostruktura / slučajni proces / eksponent Ljapunova / moment eksponenta Ljapunova / funkcional Ljapunova / stohastičko usrednjenje / metod Monte Carlo
[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_nardus_3897
URI
https://nardus.mpn.gov.rs/handle/123456789/3897
http://eteze.ni.ac.rs/application/showtheses?thesesId=2160
https://fedorabg.bg.ac.rs/fedora/get/o:994/bdef:Content/download
http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=533685398

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