Direction of research.

Main direction of research is concerned with the investigation of non-stationary processes in mechanical systems with inhomogeneities of different types:

• Moving loads

• Non-stationary processes in phase-transforming materials

• Non-stationary localized oscillations

Main results:

• Stiff phase nucleation in a phase-transforming bar due to the collision of non-stationary waves is considered [⤤].

• The resolution of the classical Stokes’ paradox for inertial moving load is proposed [⤤].

• The analytical solutions describing non-stationary motions in mechanical systems possessing trapped modes of oscillation are obtained in the case of slowly varying in time system parameters [⤤], [⤤], [⤤].

• The problem on the passage through a resonance for a mechanical system, having time-varying parameters and possessing a single trapped mode, is solved [⤤].

• Non-stationary oscillation of a string on the Winkler foundation subjected to a discrete mass-spring system (an oscillator) non-uniformly moving at a sub-critical speed is considered [⤤].

Comparison of the analytical and numerical solutions for the accelerated motion of a moving oscillator (a) The internal force (b) The displacement.