The issues of developing mathematical models of mechanical systems with dynamical absorbers through links coupling

The paper deals with a general theory of lever dynamical vibration absorbers in mechanical systems intended to protect machinery and equipment from vibration and stresses. Desirable effects will be achieved by making proper couplings between the system links which results in reducing the number of freedom degrees of the sys-tem movement. Possibilities of using several systems of coordinates for describing the system dynamical proper-ties depending on the element location and support are discussed. The paper considers the ways of eliminating some coordinates of relative movements provided they could be equal zero under specific conditions. Such ap-proximations form link couplings and mechanisms in vibration system structure which can change the system dynamics. New means for controlling vibroprotection system dynamics could be developed. A number of exam-ples are given based on mathematical modelling.