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Research Output

2020

Analysis of flexible elastic–plastic plates/shells behaviour under coupled mechanical/thermal fields and one-sided corrosion wear

Awrejcewicz, J., Krysko, A. V., Krylova, E. Y., Yaroshenko, T. Y., Zhigalov, M. V. & Krysko, V. A., Jan 2020, In : International Journal of Non-Linear Mechanics. 118, 103302.

Research output: Contribution to journalArticle

Open Access

Nanobeam Theory Taking Into Account Physical Nonlinearity

Krysko, V. A., Papkova, I. V., Zhigalov, M. V. & Krysko, A. V., 1 Jul 2020, In : Russian Physics Journal. 63, 3, p. 522-529 8 p.

Research output: Contribution to journalArticle

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

2 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

6 Citations (Scopus)

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

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
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

3 Citations (Scopus)
2018

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

3 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

9 Citations (Scopus)

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

1 Citation (Scopus)

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

1 Citation (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

5 Citations (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

5 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

4 Citations (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

3 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

12 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

3 Citations (Scopus)

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

3 Citations (Scopus)
2017

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

2 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

29 Citations (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

1 Citation (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

27 Citations (Scopus)

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

3 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

6 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

17 Citations (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

1 Citation (Scopus)
27 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

21 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

2 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

5 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

15 Citations (Scopus)

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

2016

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

12 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

33 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

11 Citations (Scopus)

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

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

1 Citation (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

7 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

4 Citations (Scopus)
2015

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

5 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

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

4 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

10 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

3 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

10 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

5 Citations (Scopus)
2014

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

22 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

5 Citations (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

1 Citation (Scopus)