Title
Dinamička stabilnost viskoelastičnih kontinualnih sistema pod dejstvom slučajnih poremećaja : doktorska disertacija
Creator
Pavlović, Ivan R., 1979-
Copyright date
2014
Object Links
Select license
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
License description
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Language
Serbian
Cobiss-ID
Theses Type
PhD thesis
Other responsibilities
mentor
Kozić, Predrag
član komisije
Janevski, Goran
član komisije
Rajković, Predrag, 1959-
član komisije
Trišović, Nataša, 1963-
član komisije
Golubović, Zoran, 1948-
Academic Expertise
Prirodno-matematičke nauke
Academic Title
-
University
Univerzitet u Nišu
Faculty
Mašinski fakultet
Group
Katedra za mehaniku
Title translated
Dynamic stability of viscoelastic continuous systems subjected to
random excitation
Publisher
Niš : [I. R. Pavlović]
Format
PDF/A (180 listova)
description
Biografski podaci o autoru: list 2.
Umnoženo za odbranu.
Univerzitet u Nišu, Mašinski fakultet, 2014.
Summary.
Bibliografija: listovi 147-152.
description
Applied mechanics
Abstract (en)
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, as well as numerical determination of moment Liapunov exponents were performed
using the simulation based on Monte Carlo method.
Authors Key words
Viskoelastični mehanički sistemi, nanostruktura, slučajni proces, eksponent
Ljapunova, moment eksponenta Ljapunova, funkcional Ljapunova, stohastičko usrednjenje,
metod Monte Carlo
Authors Key words
Viscoelastic system, nanostructure, random process, Liapunov exponent,
moment Liapunov exponent, Liapunov functional, stochastic averaging, Monte Carlo
method
Classification
539
Type
Elektronska teza
Abstract (en)
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, as well as numerical determination of moment Liapunov exponents were performed
using the simulation based on Monte Carlo method.
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