Переходные процессы в системах с двумя степенями свободы, содержащих существенно нелинейный гаситель

Abstract

Transient in a system containing a linear oscillator, linearly coupled to an essentially nonlinear attachment with a comparatively small mass, is considered. A damping is taken into account. The multiple scales method is used to construct a rocess of transient in the system under consideration. A transfer of energy from the initially perturbed linear subsystem to the nonlinear absorber can be observed. A similar construction is made to describe the transient in a system which contains a linear oscillator and a vibro-impact attachment with a comparatively small mass. A transient in such system under the external periodical excitation was considered too. Numerical simulation confirms an efficiency of the analytical construction in both systems.