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The method of creation of mathematical models of the mechanical oscillatory systems which are turning on in the structure mechanisms with kinematic couples of slippage is offered. It is shown that introduction of mechanisms can be interpreted as introduction to initial model of the additional feedback, in general, to steering on absolute speedup and on an absolute deviation. A basis of the offered technology of creation of mathematical models are representations that in the presence of the mechanism or a mechanical chain of other look power and kinematic indignations form various structures of dynamic interactions. The analytical ratios defining dynamic properties of systems are received. The features of dynamic properties which are shown in various forms of dynamic interactions and frequency characteristics are considered.