Reshetnikova S. Absorption of vibrations of mechanical systems by using essentially nonlinear dynamical absorbers

The object is a dynamics of elastic mechanical systems and systems of the vibration protection of machines, devices and equipments, transmission of engines and gear pair; the aim is the creation of numerical method for an analysis of the mechanical systems dynamics to determine parameters of nonlinear dynamical absorbers; the methods analytical and numerical methods of applied theory of vibrations and the stability motion theory, asymptotic methods, the nonlinear normal vibrations method, the harmonic balance method, algebraization method; results are a creation of method of analysis of free and forced vibrations, waves processes and their absorption in mechanical systems with nonlinear dynamical vibration absorbers; values of mechanical system parameters for which the absorption is taken place by using the nonlinear absorbers, is determined; novelty is a development of methods of analysis of mechanical systems with nonlinear absorbers dynamics, an obtaining of regions of the systems parameters wherethis absorption takes place, an investigation of absorption of the wave processes in a spring by using the nonlinear absorber, a decision of problem of absorption of vibrations arising in the engine transmission, an analysis of nonlinear dynamics of gear pair with variable in time rigidity; the results of work have been applied on the machine-building enterprise; the sphere of use is machine-building.