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Research Output 2001 2019

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2019

Chaotic Contact Dynamics of Two Microbeams under Various Kinematic Hypotheses

Krysko, V. A., Awrejcewicz, J., Papkova, I. V., Saltykova, O. A. & Krysko, A. V., 1 Jan 2019, In : International Journal of Nonlinear Sciences and Numerical Simulation.

Research output: Contribution to journalArticle

Dynamic Contact
microbeams
Kinematics
kinematics
Contact
3 Citations (Scopus)

On the contact interaction of a two-layer beam structure with clearance described by kinematic models of the first, second and third order approximation

Krysko, V. A., Awrejcewicz, J., Saltykova, O. A., Papkova, I. V. & Krysko, A. V., 15 Jan 2019, In : Mechanical Systems and Signal Processing. 115, p. 696-719 24 p.

Research output: Contribution to journalArticle

Kinematics
Frequency division multiplexing

Size-dependent non-linear dynamics of curvilinear flexible beams in a temperature field

Krysko, V. A., Awrejcewicz, J., Kutepov, I. E., Babenkova, T. V. & Krysko, A. V., 1 Mar 2019, In : Applied Mathematical Modelling. 67, p. 283-296 14 p.

Research output: Contribution to journalArticle

Flexible Beam
Micro-electro-mechanical Systems
Temperature Field
Nonlinear Dynamics
NEMS

Thermoelastic vibrations of a Timoshenko microbeam based on the modified couple stress theory

Awrejcewicz, J., Krysko, V. A., Pavlov, S. P., Zhigalov, M. V., Kalutsky, L. A. & Krysko, A. V., 1 Jan 2019, In : Nonlinear Dynamics.

Research output: Contribution to journalArticle

Open Access
Couple Stress
Thermoelastic
Resonators
Vibration
Resonator

Topological optimization of thermoelastic composites with maximized stiffness and heat transfer

Krysko, A. V., Awrejcewicz, J., Pavlov, S. P., Bodyagina, K. S. & Krysko, V. A., 1 Feb 2019, In : Composites Part B: Engineering. 158, p. 319-327 9 p.

Research output: Contribution to journalArticle

Stiffness
Heat transfer
Composite materials
Elastic moduli
Thermal conductivity
2018
1 Citation (Scopus)

Chaotic dynamics of two coaxially-nested cylindrical shells reinforced by two beams

Awrejcewicz, J., Krysko, A. V., Saltykova, O. A., Vetsel, S. S. & Krysko, V. A., 1 Sep 2018, In : Communications in Nonlinear Science and Numerical Simulation. 62, p. 339-351 13 p.

Research output: Contribution to journalArticle

Cylindrical Shell
Chaotic Dynamics
Structural members
Nonlinear Dynamics
Contact
5 Citations (Scopus)

Chaotic vibrations of flexible shallow axially symmetric shells

Krysko, A. V., Awrejcewicz, J., Zakharova, A. A., Papkova, I. V. & Krysko, V. A., 10 Jan 2018, (Accepted/In press) In : Nonlinear Dynamics. 91, 4, p. 1-21 21 p.

Research output: Contribution to journalArticle

Shell
Vibration
Boundary conditions
Nonlinear equations
Chaos theory
2 Citations (Scopus)

Non-linear dynamics of size-dependent Euler–Bernoulli beams with topologically optimized microstructure and subjected to temperature field

Krysko, A. V., Awrejcewicz, J., Pavlov, S. P., Bodyagina, K. S., Zhigalov, M. V. & Krysko, V. A., 1 Sep 2018, In : International Journal of Non-Linear Mechanics. 104, p. 75-86 12 p.

Research output: Contribution to journalArticle

Euler-Bernoulli Beam
Temperature Field
Nonlinear Dynamics
Microstructure
Temperature distribution
1 Citation (Scopus)

Non-symmetric forms of non-linear vibrations of flexible cylindrical panels and plates under longitudinal load and additive white noise

Krysko, V. A., Awrejcewicz, J., Krylova, E. Y., Papkova, I. V. & Krysko, A. V., 9 Jun 2018, In : Journal of Sound and Vibration. 423, p. 212-229 18 p.

Research output: Contribution to journalArticle

White noise
white noise
Finite difference method
Runge-Kutta method
Runge Kutta methods
2 Citations (Scopus)

On reliability of chaotic dynamics of two Euler-Bernoulli beams with a small clearance

Krysko, V. A., Awrejcewicz, J., Papkova, I. V., Saltykova, O. A. & Krysko, A. V., 1 Jan 2018, (Accepted/In press) In : International Journal of Non-Linear Mechanics. 104, p. 8-18 11 p.

Research output: Contribution to journalArticle

Euler-Bernoulli Beam
Chaotic Dynamics
Clearance
Finite difference method
Difference Method
1 Citation (Scopus)

On the mathematical models of the Timoshenko-type multi-layer flexible orthotropic shells

Krysko, V. A., Awrejcewicz, J., Zhigalov, M. V., Papkova, I. V., Yakovleva, T. V. & Krysko, A. V., 1 Jun 2018, In : Nonlinear Dynamics. 92, 4, p. 2093-2118 26 p.

Research output: Contribution to journalArticle

Multilayer
Shell
Mathematical Model
Mathematical models
Generalized Solution
4 Citations (Scopus)

Quantifying chaos by various computational methods. Part 1: Simple systems

Awrejcewicz, J., Krysko, A. V., Erofeev, N. P., Dobriyan, V., Barulina, M. A. & Krysko, V. A., 1 Mar 2018, In : Entropy. 20, 3, 175.

Research output: Contribution to journalArticle

chaos
exponents
wolves
difference equations
logistics
2 Citations (Scopus)

Quantifying chaos by various computational methods. Part 2: Vibrations of the Bernoulli-Euler beam subjected to periodic and colored noise

Awrejcewicz, J., Krysko, A. V., Erofeev, N. P., Dobriyan, V., Barulina, M. A. & Krysko, V. A., 1 Mar 2018, In : Entropy. 20, 3, 170.

Research output: Contribution to journalArticle

Euler-Bernoulli beams
chaos
vibration
kinematics
degrees of freedom

Quantitative assessment of cognitive interpretability of visualization

Zakharova, A. A., Vekhter, E. V., Shklyar, A. V., Krysko, A. V. & Saltykova, O. A., 1 Jan 2018, In : Scientific Visualization. 10, 4, p. 145-153 9 p.

Research output: Contribution to journalArticle

Visualization
2017
1 Citation (Scopus)

Chaotic dynamic buckling of rectangular spherical shells under harmonic lateral load

Awrejcewicz, J., Krysko, A. V., Zhigalov, M. V. & Krysko, V. A., 15 Oct 2017, In : Computers and Structures. 191, p. 80-99 20 p.

Research output: Contribution to journalArticle

Dynamic Buckling
Spherical Shell
Chaotic Dynamics
Galerkin methods
Buckling
18 Citations (Scopus)

Chaotic dynamics of size dependent Timoshenko beams with functionally graded properties along their thickness

Awrejcewicz, J., Krysko, A. V., Pavlov, S. P., Zhigalov, M. V. & Krysko, V. A., 1 Sep 2017, In : Mechanical Systems and Signal Processing. 93, p. 415-430 16 p.

Research output: Contribution to journalArticle

Functionally graded materials
Numerical analysis
Differential equations
Neural networks
22 Citations (Scopus)

Chaotic dynamics of the size-dependent non-linear micro-beam model

Krysko, A. V., Awrejcewicz, J., Pavlov, S. P., Zhigalov, M. V. & Krysko, V. A., 1 Sep 2017, In : Communications in Nonlinear Science and Numerical Simulation. 50, p. 1339-1351 13 p.

Research output: Contribution to journalArticle

Chaotic Dynamics
Dependent
Couple Stress
Hamilton's Principle
Large Deformation

Contact interaction of two rectangular plates made from different materials with an account of physical nonlinearity

Awrejcewicz, J., Krysko, V. A., Zhigalov, M. V. & Krysko, A. V., 23 Nov 2017, (Accepted/In press) In : Nonlinear Dynamics. 91, 2, p. 1-21 21 p.

Research output: Contribution to journalArticle

Rectangular Plate
Power spectrum
Ordinary differential equations
Contacts (fluid mechanics)
Partial differential equations
4 Citations (Scopus)

Mathematical modelling of physically/geometrically non-linear micro-shells with account of coupling of temperature and deformation fields

Awrejcewicz, J., Krysko, V. A., Sopenko, A. A., Zhigalov, M. V., Kirichenko, A. V. & Krysko, A. V., 1 Nov 2017, In : Chaos, Solitons and Fractals. 104, p. 635-654 20 p.

Research output: Contribution to journalArticle

Mathematical Modeling
Shell
Faedo-Galerkin Method
Runge-Kutta
Runge-Kutta Methods
13 Citations (Scopus)

Mathematical model of a three-layer micro- and nano-beams based on the hypotheses of the Grigolyuk–Chulkov and the modified couple stress theory

Awrejcewicz, J., Krysko, V. A., Zhigalov, M. V. & Krysko, A. V., 15 Jun 2017, In : International Journal of Solids and Structures. 117, p. 39-50 12 p.

Research output: Contribution to journalArticle

Couple Stress
mathematical models
Mathematical Model
Mathematical models
Equations of motion
18 Citations (Scopus)
Flexible Beam
Couple Stress
Static analysis
Static Analysis
Bernoulli
16 Citations (Scopus)

Nonlinear behaviour of different flexible size-dependent beams models based on the modified couple stress theory. Part 2. Chaotic dynamics of flexible beams

Krysko, A. V., Awrejcewicz, J., Zhigalov, M. V., Pavlov, S. P. & Krysko, V. A., 1 Jul 2017, In : International Journal of Non-Linear Mechanics. 93, p. 106-121 16 p.

Research output: Contribution to journalArticle

Flexible Beam
Couple Stress
Chaotic Dynamics
Vibration
Model-based
4 Citations (Scopus)

Principal Component Analysis in the Nonlinear Dynamics of Beams: Purification of the Signal from Noise Induced by the Nonlinearity of Beam Vibrations

Krysko, A. V., Awrejcewicz, J., Papkova, I. V., Szymanowska, O. & Krysko, V. A., 1 Jan 2017, In : Advances in Mathematical Physics. 2017, 3038179.

Research output: Contribution to journalArticle

principal components analysis
Purification
purification
Principal component analysis
Nonlinear Dynamics
12 Citations (Scopus)

Stability of the Size-Dependent and Functionally Graded Curvilinear Timoshenko Beams

Awrejcewicz, J., Krysko, A. V., Pavlov, S. P., Zhigalov, M. V. & Krysko, V. A., 1 Jul 2017, In : Journal of Computational and Nonlinear Dynamics. 12, 4, 041018.

Research output: Contribution to journalArticle

Timoshenko Beam
Functionally graded materials
Dependent
Runge Kutta methods
Finite difference method

The effect of detuning of the partial frequency of MEMS gyros sensing elements on the amplitude-frequency response

Pankratov, V. M., Barulina, M. A. & Krys’ko, A. V., 1 Apr 2017, In : Russian Aeronautics. 60, 2, p. 270-277 8 p.

Research output: Contribution to journalArticle

Gyroscopes
Frequency response
MEMS
Mathematical models
Sensors
2016
8 Citations (Scopus)

Chaotic dynamics of flexible beams driven by external white noise

Awrejcewicz, J., Krysko, A. V., Papkova, I. V., Zakharov, V. M., Erofeev, N. P., Krylova, E. Y., Mrozowski, J. & Krysko, V. A., 19 Feb 2016, In : Mechanical Systems and Signal Processing. 79, p. 225-253 29 p.

Research output: Contribution to journalArticle

White noise
Chaos theory
Structural members
Wavelet analysis
Fast Fourier transforms
Gyroscopes
Galerkin methods
oscillation
Runge Kutta methods
Wavelet analysis
8 Citations (Scopus)

Nonlinear dynamics and contact interactions of the structures composed of beam-beam and beam-closed cylindrical shell members

Krysko, A. V., Awrejcewicz, J., Saltykova, O. A., Vetsel, S. S. & Krysko, V. A., 1 Oct 2016, In : Chaos, Solitons and Fractals. 91, p. 622-638 17 p.

Research output: Contribution to journalArticle

Cylindrical Shell
Nonlinear Dynamics
Contact
Closed
Interaction

Non-linear dynamics of flexible curvilinear bernoulli-euler nano-beams in a stationary temperature field

Awrejcewicz, J., Kutepov, I. E., Pavlov, S. P., Papkova, I. V. & Krysko, A. V., 2016, In : Journal of Engineering and Applied Sciences. 11, 9, p. 2079-2084 6 p.

Research output: Contribution to journalArticle

Temperature distribution
Mathematical models
Laplace equation
Runge Kutta methods
Finite difference method
1 Citation (Scopus)

Nonlinear dynamics of spherical hydroacoustic devices used in oil and gas industry

Mitskevich, S. A., Papkova, I. V., Zakharova, A. A. & Krysko, A. V., 1 Jan 2016, In : Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering. 327, 11, p. 17-23 7 p.

Research output: Contribution to journalArticle

Acoustic logging
Underwater acoustics
acoustic logging
Gas industry
gas industry
7 Citations (Scopus)

On the contact interaction between two rectangular plates

Krysko, A. V., Awrejcewicz, J., Zhigalov, M. V. & Krysko, V. A., 1 Sep 2016, In : Nonlinear Dynamics. 85, 4, p. 2729-2748 20 p.

Research output: Contribution to journalArticle

Structural members
Rectangular Plate
Elasticity
Boundary conditions
Contact
2 Citations (Scopus)

Stability of curvilinear Euler-Bernoulli beams in temperature fields

Krysko, A. V., Awrejcewicz, J., Kutepov, I. E. & Krysko, V. A., 13 Jun 2016, (Accepted/In press) In : International Journal of Non-Linear Mechanics.

Research output: Contribution to journalArticle

Euler-Bernoulli Beam
Temperature Field
Temperature distribution
Laplace equation
Finite difference method
2015
5 Citations (Scopus)

Chaotic and synchronized dynamics of non-linear Euler-Bernoulli beams

Awrejcewicz, J., Krysko, A. V., Dobriyan, V., Papkova, I. V. & Krysko, V. A., 3 Jun 2015, In : Computers and Structures. 155, p. 85-96 12 p., 5359.

Research output: Contribution to journalArticle

Euler-Bernoulli Beam
Vibration
Boundary conditions
Chaotic Dynamics
Runge Kutta methods
4 Citations (Scopus)

Chaotic vibrations of flexible curvilinear beams in temperature and electric fields

Awrejcewicz, J., Krysko, V. A., Kutepov, I. E., Zagniboroda, N. A., Dobriyan, V., Papkova, I. V. & Krysko, A. V., 30 May 2015, In : International Journal of Non-Linear Mechanics. 76, p. 29-41 13 p.

Research output: Contribution to journalArticle

Temperature Field
Electric Field
Temperature distribution
Vibration
Electric fields
4 Citations (Scopus)

On a contact problem of two-layer beams coupled by boundary conditions in a temperature field

Krysko, A. V., Awrejcewicz, J., Kutepov, I. E. & Krysko, V. A., 1 Jan 2015, In : Journal of Thermal Stresses. 38, 5, p. 468-484 17 p.

Research output: Contribution to journalArticle

Temperature distribution
temperature distribution
Boundary conditions
boundary conditions
nonlinearity
8 Citations (Scopus)

On the general theory of chaotic dynamics of flexible curvilinear Euler–Bernoulli beams

Awrejcewicz, J., Krysko, A. V., Zagniboroda, N. A., Dobriyan, V. V. & Krysko, V. A., 1 Jan 2015, In : Nonlinear Dynamics. 79, 1, p. 11-29 19 p.

Research output: Contribution to journalArticle

Euler-Bernoulli Beam
Chaotic Dynamics
Lyapunov Exponent
Cauchy Problem
Second-order Accuracy
3 Citations (Scopus)

On the methods of critical load estimation of spherical circle axially symmetrical shells

Awrejcewicz, J., Krysko, A. V., Papkova, I. V., Vygodchikova, I. Y. & Krysko, V. A., 1 Sep 2015, In : Thin-Walled Structures. 94, p. 293-301 9 p.

Research output: Contribution to journalArticle

Buckling
Ordinary differential equations
9 Citations (Scopus)

On the non-classical mathematical models of coupled problems of thermo-elasticity for multi-layer shallow shells with initial imperfections

Kirichenko, V. F., Awrejcewicz, J., Kirichenko, A. V., Krysko, A. V. & Krysko, V. A., 1 Sep 2015, In : International Journal of Non-Linear Mechanics. 74, p. 51-72 22 p.

Research output: Contribution to journalArticle

Shallow Shell
Coupled Problems
Thermoelasticity
Imperfections
Boundary value problems
2014
4 Citations (Scopus)

On the iterative methods of linearization, decrease of order and dimension of the karman-type PDEs

Krysko, A. V., Awrejcewicz, J., Pavlov, S. P., Zhigalov, M. V. & Krysko, V. A., 1 Jan 2014, In : The Scientific World Journal. 2014, 792829.

Research output: Contribution to journalArticle

Iterative methods
Linearization
Reproducibility of Results
Software
Partial differential equations
2013
6 Citations (Scopus)

Analysis of chaotic vibrations of flexible plates using fast fourier transforms and wavelets

Awrejcewicz, J., Krysko, A. V., Kutepov, I. E., Zagniboroda, N. A., Zhigalov, M. V. & Krysko, V. A., 1 Oct 2013, In : International Journal of Structural Stability and Dynamics. 13, 7, 1340005.

Research output: Contribution to journalArticle

Fast Fourier transform
Finite difference method
Fast Fourier transforms
Partial differential equations
Numerical analysis
19 Citations (Scopus)

Chaotic dynamics of flexible beams with piezoelectric and temperature phenomena

Krysko, V. A., Awrejcewicz, J., Kutepov, I. E., Zagniboroda, N. A., Papkova, I. V., Serebryakov, A. V. & Krysko, A. V., 1 Nov 2013, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 377, 34-36, p. 2058-2061 4 p.

Research output: Contribution to journalArticle

pulse detonation engines
temperature
Fourier analysis
temperature distribution
kinematics
16 Citations (Scopus)

Chaotic dynamics of flexible euler-bernoulli beams

Awrejcewicz, J., Krysko, A. V., Kutepov, I. E., Zagniboroda, N. A., Dobriyan, V. & Krysko, V. A., 2 Oct 2013, In : Chaos. 23, 4, 043130.

Research output: Contribution to journalArticle

Flexible Beam
Euler-Bernoulli beams
Euler-Bernoulli Beam
Chaotic Dynamics
Chaos theory
9 Citations (Scopus)

Chaotic synchronization of vibrations of a coupled mechanical system consisting of a plate and beams

Awrejcewicz, J., Krysko, A. V., Yakovleva, T. V., Zelenchuk, D. S. & Krysko, V. A., 1 Jan 2013, In : Latin American Journal of Solids and Structures. 10, 1, p. 161-172 12 p.

Research output: Contribution to journalArticle

Fast Fourier transforms
Wavelet transforms
Synchronization
Mathematical models
2012
26 Citations (Scopus)

Analysis of the nonlinear dynamics of the timoshenko flexible beams using wavelets

Awrejcewicz, J., Krysko, A. V., Soldatov, V. & Krysko, V. A., 1 Jan 2012, In : Journal of Computational and Nonlinear Dynamics. 7, 1, 011005.

Research output: Contribution to journalArticle

Flexible Beam
Timoshenko Beam
Wavelet transforms
Nonlinear Dynamics
Continuous Wavelet Transform
5 Citations (Scopus)

Chaotic phase synchronization of vibrations of multilayer beam structures

Krys'ko, V. A., Koch, M. I., Zhigalov, M. V. & Krys'ko, A. V., 1 May 2012, In : Journal of Applied Mechanics and Technical Physics. 53, 3, p. 451-459 9 p.

Research output: Contribution to journalArticle

synchronism
Synchronization
Multilayers
Boundary conditions
vibration
25 Citations (Scopus)

Routes to chaos in continuous mechanical systems: Part 2. Modelling transitions from regular to chaotic dynamics

Krysko, A. V., Awrejcewicz, J., Papkova, I. V. & Krysko, V. A., 1 Jun 2012, In : Chaos, Solitons and Fractals. 45, 6, p. 709-720 12 p.

Research output: Contribution to journalArticle

Continuous System
Chaotic Dynamics
Mechanical Systems
Chaos
Scenarios
43 Citations (Scopus)

Routes to chaos in continuous mechanical systems. Part 1: Mathematical models and solution methods

Awrejcewicz, J., Krysko, V. A., Papkova, I. V. & Krysko, A. V., 1 Jun 2012, In : Chaos, Solitons and Fractals. 45, 6, p. 687-708 22 p.

Research output: Contribution to journalArticle

Continuous System
Mechanical Systems
Chaos
Mathematical Model
Hyperchaos
34 Citations (Scopus)

Routes to chaos in continuous mechanical systems. Part 3: The Lyapunov exponents, hyper, hyper-hyper and spatial-temporal chaos

Awrejcewicz, J., Krysko, A. V., Papkova, I. V. & Krysko, V. A., 1 Jun 2012, In : Chaos, Solitons and Fractals. 45, 6, p. 721-736 16 p.

Research output: Contribution to journalArticle

Continuous System
Mechanical Systems
Lyapunov Exponent
Hyperchaos
Chaos
2011
19 Citations (Scopus)

Analysis of regular and chaotic dynamics of the Euler-Bernoulli beams using finite difference and finite element methods

Awrejcewicz, J., Krysko, A. V., Mrozowski, J., Saltykova, O. A. & Zhigalov, M. V., 1 Feb 2011, In : Acta Mechanica Sinica/Lixue Xuebao. 27, 1, p. 36-43 8 p.

Research output: Contribution to journalArticle

Boundary conditions
Finite element method
Finite difference method
Chaos theory
6 Citations (Scopus)

Chaotic vibrations of two-layered beams and plates with geometric, physical and design nonlinearities

Awrejcewicz, J., Krysko, A. V., Bochkarev, V. V., Babenkova, T. V., Papkova, I. V. & Mrozowski, J., 1 Jan 2011, In : International Journal of Bifurcation and Chaos. 21, 10, p. 2837-2851 15 p.

Research output: Contribution to journalArticle

Vibration
Nonlinearity
Finite difference method
Partial differential equations
Synchronization