Not-holding connections as a characteristic feature of dynamic interactions of elements of technical systems

At the present time vibration interaction is used for development of new technological processes in which required quality of product is provided due to interaction of the granular medium with the vibrating surface. Article is devoted to development of mathematical models and estimation criteria form of movement with influence of unilateral ties in dynamic interactions of elements of vibration technological processes in the application to problems of increase in reliability and quality of operation of vibration machines. The study is focused on the formation of theoretical ideas about the dynamic interactions of a solid body with the vibrating surface based on the development of mathematical models by introducing of additional external forces and elastic ties with unilateral contact, including mathematical models of gapless movement of the compounded solids. In terms of practical applications the task is to develop and approbate experimentally the opportunities of the measuring devices fixing the modes of continuous tossing. The generalized approach to problems of dynamic synthesis of the vibration technologies realized in the modes of continuous tossing at introduction of additional forces is developed. A basis of approach is to introduce the concept of the function of a gap allowing to prove creation of forms of movements of material particles according to the certain criteria reflecting properties of trajectories of the movement of material particles in interaction with the vibrating surface. Mathematical models for definition of conditions of formation of dynamic reactions in the oscillatory structure consisting of several elements connected among themselves including with opportunities of their preliminary pressing due to elastic connections and power factors are offered. The measuring device fixing the modes of continuous tossing is developed and experimentally approved.