Nisonskiy V. The vibro-machine mathematical model with chain-branch solid's connection

The research object is dynamic mode of vibration shocks units work with a chain-branched method of connection of solids. The research purpose is to construct a mathematical model of vibration units (vibro-machine) by a chain-branched method of solid state connection which allows numerical calculations of the dynamic mode of operation methods of mathematical modelling, analytical mechanics, numerical methods, methods of computer modelling have been used. Theoretical results: at the first time mathematical model of solids motion and the effect of technological load in mechanical systems with chain-branched mass coupling on the basis of Lagrange II equations was developed for the first time which allows us to obtain analytical dependences for describing the characteristics of objects of this class and to carry out numerical calculations of parameters, dynamic mode of operation; at the first time a mathematical model of the process of interaction of a technological load with working bodies of mechanical systems with a chain-branched method of connection of solids was developed, which allows to obtain analytical dependencies for finding efforts in the contact area; approaches have been improved to evaluate the accuracy of the problem of simulating the processes of the vibration shaft unit with a chain-branched mass connection method. Practical results: on the basis of numerical calculations, recommendations for improving the dynamic parameters of the vibration aggregates have been developed. Degree of implementation: research results implemented at PAC "Azovzagalmash", Mariupol, as well as in the educational process of the Ivano-Frankivsk National University of Oil and Gas. Field of application is foundry and machine building.