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Yuri Mikhlin, Gayane Rudnyeva, Tatiana Bunakova, Nikolai Perepelkin
In this paper a transient in some nonlinear systems is constructed by using the multiple-scale method. In particular, 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. A transfer of energy from the initially perturbed linear subsystem to the nonlinear one can be observed. A similar construction is made to describe a 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 is considered too. Besides, a transient in a system which describes an interaction of some rotating subsystem and the elastic one is constructed.
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