M
Maxim V. Zhigalov
Researcher at Saratov State Technical University
Publications - 63
Citations - 594
Maxim V. Zhigalov is an academic researcher from Saratov State Technical University. The author has contributed to research in topics: Nonlinear system & Finite element method. The author has an hindex of 11, co-authored 59 publications receiving 429 citations.
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Journal ArticleDOI
Chaotic dynamics of size dependent Timoshenko beams with functionally graded properties along their thickness
Jan Awrejcewicz,Jan Awrejcewicz,Anton V. Krysko,Anton V. Krysko,S.P. Pavlov,Maxim V. Zhigalov,V.A. Krysko +6 more
TL;DR: In this paper, the influence of size-dependent and functionally graded coefficients on the vibration characteristics, scenarios of transition from regular to chaotic vibrations as well as a series of static problems with an emphasis put on the load-deflection behavior are studied.
Journal ArticleDOI
Nonlinear behaviour of different flexible size-dependent beams models based on the modified couple stress theory. Part 1: Governing equations and static analysis of flexible beams
Anton V. Krysko,Anton V. Krysko,Jan Awrejcewicz,Jan Awrejcewicz,Maxim V. Zhigalov,S.P. Pavlov,V.A. Krysko +6 more
TL;DR: In this paper, the authors employ the Sheremetev-Pelekh-Reddy-Levinson hypotheses to yield a non-linear mathematical model of a beam taking into account geometric and physical nonlinearity as well as transverse shear based on modified couple stress theory.
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Mathematical model of a three-layer micro- and nano-beams based on the hypotheses of the Grigolyuk–Chulkov and the modified couple stress theory
Jan Awrejcewicz,Jan Awrejcewicz,V.A. Krysko,Maxim V. Zhigalov,Anton V. Krysko,Anton V. Krysko +5 more
TL;DR: In this paper, a mathematical model of three-layered beams developed based on the hypothesis of the Grigolyuk-Chulkov and the modified couple stress theory and the size depended equations governing the layers motions on the micro- and nano-scales is constructed.
Journal Article
Chaotic vibrations in flexible multi-layered bernoulli-euler and timoshenko type beams
TL;DR: In this paper, an investigation of transversally driven beams is carried out against control PARAMETERS, I.E. AMPLITUDE and FREQUENCY of an EXTERNAL LOADING for a series of Boundedary CONDITIONS and for two KINEMATICAL BEAM MODELS of EULER-BERNOULLI and TIMOSHENKO TYPES.
Journal ArticleDOI
Nonlinear behaviour of different flexible size-dependent beams models based on the modified couple stress theory. Part 2. Chaotic dynamics of flexible beams
Anton V. Krysko,Anton V. Krysko,Jan Awrejcewicz,Jan Awrejcewicz,Maxim V. Zhigalov,S.P. Pavlov,V.A. Krysko +6 more
TL;DR: In this 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 nonlinearity.