Mechanics and Control of Solids and Structures

1. Front Matter

   Pages i-xx

   PDF

2. Mathematical Modeling of Some Diffusion and Thermomechanical Problems

   • Andrei K. Abramian, Sergey A. Vakulenko, Dmitry A. Indeitsev, Mikhail V. Khovaiko, Alexander S. Nemov

   Pages 1-21

3. On an Attraction Basin of the Generalized Kapitsa’s Problem

   • Alexander K. Belyaev, Nikita F. Morozov, Petr E. Tovstik, Tatiana M. Tovstik, Tatiana P. Tovstik

   Pages 23-48

4. Application of Micropolar Theory to the Description of Ultrathin Liquid Layers

   • Nikolay M. Bessonov, Ksenia P. Frolova

   Pages 49-73

5. Research on Vibration Processes and Devices: New Results and Applications

   • Leonid I. Blekhman, Eugen B. Kremer, Vladislav B. Vasilkov

   Pages 75-90

6. Micromechanics of Strength and Plasticity in Nanostructured Materials

   • Sergey V. Bobylev, Mikhail Yu. Gutkin, Alexander G. Sheinerman, Nikolay V. Skiba

   Pages 91-114

7. Solution of Dynamic Equations of Plane Deformation for Nonlinear Model of Complex Crystal Lattice

   • Anatolii N. Bulygin, Yurii V. Pavlov

   Pages 115-136

8. Effective Directions of Development of the Method of Artificial Bases for Evaluating the Volumetric Wear Resistance of Materials

   • Leonid V. Efremov

   Pages 137-149

9. Local, Modal and Shape Control Strategies for Active Vibration Suppression of Elastic Systems: Experiment and Numerical Simulation

   • Aleksandr V. Fedotov, Alexander K. Belyaev, Vladimir A. Polyanskiy, Nina A. Smirnova

   Pages 151-169

10. Speed-Gradient Method in Mechanical Engineering

    • Alexander L. Fradkov, Boris Andrievsky

    Pages 171-194

11. FEM-simulations of a Chemical Reaction Front Propagation in an Elastic Solid with a Cylindrical Hole

    • Alexander B. Freidin, Igor K. Korolev, Sergey P. Aleshchenko

    Pages 195-208

12. Diffusion in Media with Spheroidal Pores

    • Ksenia P. Frolova, Nikolay M. Bessonov, Elena N. Vilchevskaya

    Pages 209-225

13. Divergence Method for Stability Study and Control of Dynamical Systems

    • Igor B. Furtat, Pavel A. Gushchin

    Pages 227-235

14. Development of Situational Control Methods for a Group of Interacting Robots

    • Andrey E. Gorodetskiy, Irina L. Tarasova, Vugar G. Kurbanov, Andrey Yu. Kuchmin, Boris A. Kulik

    Pages 237-265

15. Boundary-Value Problems for Defects in Nanoscale and Nanocomposite Solids

    • Mikhail Yu. Gutkin, Anna L. Kolesnikova, Alexey E. Romanov, Alexander G. Sheinerman

    Pages 267-290

16. On Imbedded Alternating Renewal Process for a Diffusion Semi-Markov Process on Interval with Unattainable Boundaries

    • Boris P. Harlamov

    Pages 291-301

17. On Dynamic Fracture of One-Dimensional Elastic Chain

    • Nikita A. Kazarinov, Yuri V. Petrov, Aleksey A. Gruzdkov

    Pages 303-314

18. Vibrational Mechanics of Rotating Mechanisms: Modification of Low-Frequency Behaviour by High-Frequency Excitations

    • Eugen B. Kremer

    Pages 315-334

19. SiC/Si as a New Platform for Growth of Wide-Bandgap Semiconductors

    • Sergey Kukushkin, Andrey Osipov, Alexey Redkov

    Pages 335-373

20. Sloshing in a Vertical Cylinder in the Presence of a Porous Layer

    • Nikolay G. Kuznetsov, Oleg V. Motygin

    Pages 375-385

This book presents a collection of papers prepared by the researches of the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences (IPME RAS) on the occasion of the 30th anniversary of the establishment of the Institute. The IPME RAS is one of the leading research institutes of the Russian Academy of Sciences and consists of 18 research units (laboratories). The chapters cover the main research directions of the institute, including nano-,micro-, meso- and macro- mechanics and materials, with ,special emphasis on the problems of strength of materials and service life of structures. 

• Stability of solids
• Stability of structures
• Wave dynamics
• Vibrational mechanics
• Hydrogen diagnostics
• Hydrogen embrittlement

• Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

  Vladimir A. Polyanskiy, Alexander K. Belyaev

Prof. Dr. Vladimir A. Polyanskiy is a head of the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, where he previously worked as a head of the Laboratory of Applied Research (2011-2019). He is a professor of the Higher School of Cyberphysical Systems and Control at Peter the Great St. Petersburg Polytechnic University, where he has had an employment history since 1987. He is a member of the North-West Branch of the Scientific Committee of the Russian Academy of Sciences on Combustion and Explosion and an expert of the Russian Academy of Sciences. His scientific interests include hydrogen embrittlement, structural strength, metallurgy, physics of the atomic collisions and computational mechanics.
Prof. Dr.Sc. Dr.habil. Dr.h.c. Alexander K. Belyaev is a head of the Mechatronics Laboratory and a chief researcher of the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences. He is a professor of the Department of Theoretical and Applied Mechanics at St. Petersburg State University and a Head of the Higher School of Mechanics and Control at Peter the Great St. Petersburg Polytechnic University, where he has had an employment history since 1976. In particular, he was the director of the Institute of Applied Mathematics and Mechanics at Peter the Great St. Petersburg Polytechnic University. He is a member of the Council of the European Mechanics Society (EUROMECH), member of IUTAM, corresponding member of the Russian Academy of Sciences, foreign member of the Austrian Academy of Sciences, member of Presidium of Russian National Committee for Theoretical and Applied Mechanics. His scientific interests include high-frequency dynamics of solids and structures, stability of machines and mechanisms, mechatronics.

Policies and ethics