- Compilation and development of effective analytical methods for studying vibrational processes, such as the vibrational mechanics approach and the method of direct separation of motions. Their extended application to dynamic systems in various sciences, including physics, chemistry, biology, and economics.
- Detection, analytical description and practical application of a number of nonlinear vibration effects and phenomena, namely:
- self-synchronization of rotating bodies;
- vibratory injection of gas into liquid;
- abnormal behavior of solids and air bubbles in an oscillating liquid;
- the Indian magic rope trick;
- the phenomena of vibrational gradient (diffusion) segregation of granular bodies;
- unusual behavior of a granular medium in communicating vibrating vessels;
- energy and frequency pulsations in devices with inertial excitation of oscillations.
- Initial development and further elaboration (in cooperation with K. A. Lurie) of the idea for the design of fundamentally new material types in the form of dynamic and, specifically, vibratory dynamic materials and composites.
- Analysis of the potential fundamental role of frequency synchronization in certain microworld phenomena.
- Development of the theory of stochastic resonance and its related phenomena of stochastic anti-resonance and quasi-resonance based on the vibrational mechanics approach and their use in the design of vibration machines.
- Research into and application of the phenomena of vibrational maintenance and braking of rotation of an unbalanced rotor.
- Elaboration of the theory of vibrational segregation and of the respective vibratory screening model.
- Development of screenless segregation devices for process applications preventing the use of conventional screens.
- Design of high-capacity vibrational separation technology and devices for granular materials based on the gradient segregation phenomenon.
- Research into the behavior of solid particles vibrating near and at the interface between two media, vibrational buoyancy of non-buoyant bodies.
- Ways to significantly reduce energy consumption and dynamic loads in the operation of vibration machines with self-synchronizing inertial vibration exciters (patents RU 2161076, 2516262).
- Fundamentally new methods of dampening harmful vibrations, including through their use in energy generation (patents RU 2637156, 2678932).
- Research into the relative shift between contacting nominally stationary machine parts under systematic vibration or impacts and microslip calculations to assess the wear rate and trouble-free operation time for such parts. Detection of significant drops (down to zero) in effective coefficients of dry friction under impact loads. The results are essential for preventing accidents and anthropogenic seismic events.
- Development of control methods for vibration machines using the stochastic nature of the feedback caused by the chaotic effects of the medium being processed on the working body of the machine. A vibration machine control strategy designed to maintain the resonant state and ensure energy-saving operation. The results obtained shall expand the potential applications of the resonance phenomenon in the design of vibration machines.
1. Abramovich I. M., Blekhman I. I., Lavrov B. P., Pliss D. A. Phenomenon of Self-Synchronization of Rotating Bodies (Rotors). Diploma No. 333. Registered by the State Committee for Inventions on May 14, 1987. Otkrytiya, Izobreteniya (Discoveries & Inventions Journal). 1988. No. 1.
2. Semeshkin S. S., Kaforin L. A., Sazonov G. T., Blekhman I. I., Rzhevsky V. V., Revnivtsev V. I.Phenomenon of the Development of a Gravitational Gas Lift Flow (Fountain). Diploma No. 2. Association of Authors of Scientific Discoveries. Bulletin of the Higher Attestation Commission of the Russian Federation. 1994. Nos. 5–6. (Invention priority of 1987). https://raen.info/activities/registracija-nauchnyh-otkrytii/spisok-otkrytii6-javlenie-vozniknovenija-gravitacionno-gazliftovogo-p.html
3. Blekhman I. I., Blekhman L. I., Vaisberg L. A., Vasilkov V. B., Yakimova K. S. Phenomenon of Vibrational Injection of Gas into Liquid. Diploma No. 187. Nauchnyye Otkrytiya (Scientific Discoveries Collection). Moscow, Russian Academy of Natural Sciences. 2002. pp. 60–61.
Blekhman I. I., Dovgelya E. G., Drogush S. Ya., Kremer E. B., Sazonov G. T., Semeshkin S. S. Hypothesis on the Mechanism of Quantization for the Frequencies of Body Rotations in Orbital Systems. Association of Authors of Scientific Discoveries. No. A-043. February 15, 1995.
The Laboratory of Vibrational Mechanics is a structural subdivision of the Institute of Problems of Mechanical Engineering of RAS (before 2021, a joint laboratory of the IPME RAS and Mekhanobr-Tekhnika REC).