The article provides a brief overview of the scientific work of the Department of Theoretical Mechanics at Bauman Moscow State Technical University in different directions over the past 10-15 years. It shows the relationship of the research to the basic works of the founder of the Department - Professor N.E. Zhukovsky. Employees of the department solved the problems of mathematical modeling, optimization and diagnostics of mechanical and hydro-mechanical systems, the classical problem of the theory of oscillations, rigid body dynamics and hydro, applied hydrodynamic problems of homogeneous and two-phase flow, artificial cavitation problems shock interactions of bodies, taking into account various aspects of dry friction forces, issues of mechanics of walking robots control, actual problems of dynamics and thermoelasticity of thin cutting tools. Research topics have included a number of other areas of research, most of which are part of the work of leading scientific school on the dynamics of mechanical and hydro-mechanical systems, for many years headed by academician Konstantin S. Kolesnikov. In addition to full-time members of the department, part-time and graduate research students are involved in teaching at junior and senior courses. Significant amount of its research implemented in the educational process, are included in the courses and implemented in laboratory devices and equipment for scientific and educational research.