If you made any changes in Pure these will be visible here soon.

Research Output 2001 2019

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
1 Citation (Scopus)

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

Contact interaction of flexible Timoshenko beams with small deflections

Papkova, I. V., Krysko, A. V., Saltykova, O. A., Zakharova, A. A. & Krysko, V. A., 30 Jan 2018, In : Journal of Physics: Conference Series. 944, 1, 012087.

Research output: Contribution to journalConference article

Timoshenko beams
deflection
electric contacts
differential equations
interactions

Dynamics of the round sensing element of a nanoelectromechanical sensor

Barulina, M. A., Papkova, I. V. & Krysko, A. V., 6 Jul 2018, 25th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., p. 1-4 4 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kinematics
Sensing
Sensor
Nonlinear Dynamics
Sensors
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
1 Citation (Scopus)

Chaotic dynamics of structural members under regular periodic and white noise excitations

Awrejcewicz, J., Krysko, A. V., Papkova, I. V., Erofeev, N. P. & Krysko, V. A., 2017, Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers. Springer Verlag, Vol. 10187 LNCS. p. 25-32 8 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10187 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Structural members
Chaotic Dynamics
White noise
Excitation
Nonlinear dynamical systems
23 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
1 Citation (Scopus)

Mathematical model of motion of a rotor-type micromechanical gyro sensing element as an orthotropic round plate clamped at its center

Barulina, M. A., Pankratov, V. M. & Krysko, A. V., 28 Jul 2017, 2017 24th Saint Petersburg International Conference on Integrated Navigation Systems, ICINS 2017 - Proceedings. Peshekhonov, V. G. (ed.). Institute of Electrical and Electronics Engineers Inc., 7995652

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Orthotropic plates
Rotors
Mathematical models
Mindlin plates
Natural frequencies
20 Citations (Scopus)
Flexible Beam
Couple Stress
Static analysis
Static Analysis
Bernoulli
18 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
2 Citations (Scopus)

Nonlinear dynamics of contact interaction of MEMS beam elements accounting the Euler-Bernoulli hypothesis in a temperature field

Krysko, V. A., Saltykova, O. A., Krysko, A. V. & Papkova, I. V., 22 Dec 2017, 11th International IEEE Scientific and Technical Conference "Dynamics of Systems, Mechanisms and Machines", Dynamics 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., Vol. 2017-November. p. 1-6 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

MEMS
Temperature distribution
Chaos theory
Differential equations
Runge Kutta methods
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
26 Citations (Scopus)

Deterministic chaos in one dimensional continuous systems

Awrejcewicz, J., Krysko, V. A., Papkova, I. V. & Krysko, A. V., 1 May 2016, World Scientific Publishing Co. Pte Ltd. 562 p.

Research output: Book/ReportBook

Hyperchaos
Deterministic Chaos
One-dimensional System
Continuous System
Chaos Control
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
5 Citations (Scopus)

Quantifying chaos of curvilinear beams via exponents

Awrejcewicz, J., Krysko, V. A., Kutepov, I. E., Vygodchikova, I. Y. & Krysko, A. V., 1 Jan 2015, In : Communications in Nonlinear Science and Numerical Simulation. 27, 1-3, p. 81-92 12 p.

Research output: Contribution to journalReview article

Chaos theory
Chaos
Exponent
Structural members
Power spectrum
2014
22 Citations (Scopus)

Investigations of chaotic dynamics of multi-layer beams taking into account rotational inertial effects

Krysko, A. V., Awrejcewicz, J., Saltykova, O. A., Zhigalov, M. V. & Krysko, V. A., 1 Aug 2014, In : Communications in Nonlinear Science and Numerical Simulation. 19, 8, p. 2568-2589 22 p.

Research output: Contribution to journalReview article

Chaotic Dynamics
Finite difference method
Chaos theory
Wavelet transforms
Partial differential equations
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
1 Citation (Scopus)

Turbulent phenomena in flexible plates and shells

Awrejcewicz, J., Krysko, A. V., Krysko, V. A., Krylova, E. Y., Mitskievich, S. A., Papkova, I. V., Yakovleva, T. V., Zakharov, V. M. & Dobriyan, V., 1 Jan 2014, Applied Non-Linear Dynamical Systems. Awrejcewicz, J. & Awrejcewicz, J. (eds.). Springer New York LLC, Vol. 93. p. 49-76 28 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Shell
Cylindrical Shell
Chaotic Dynamics
Numerical Techniques
Chart
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