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A quite general class of problems is considered, the analysis of which makes it possible to describe the mechanism of for the generation and propagation of broadband vibration in machine structures. Mathematical models based on the theory of strongly nonlinear continuous media with a complex structure are presented. Different types of models of a "linear carrier medium plus attached equipment containing impact pairs" class are presented. It is assumed that the impact is Newtonian. The necessary defining relations are given. An example of vibroconductor analysis with internal breaks is given.

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Machines of vibro-impact type are widely used in agricultural and industrial production, being one of the most important subclasses of modern technological machines. These include traditional machines (rammers, crushers, vibro-hammers and many others), as well as modern ones, for example, ultrasonic technological devices and other important engineering objects. In most cases, these devices are designed without regard for the analysis of correct dynamic models, and the general theory of the organization of vibrating machines is far from complete. This makes it impossible to develop design schemes for similar facilities, to achieve the marginal utility of technological processes, and to ensure reliable and safe operation of machines. The vibro-impact machine design should be based on several universal scientific principles that have a clear engineering interpretation. First, we should mention the principle of resonance. When tuning the machine, as a rule, the working body must perform oscillations with maximum amplitude, since the maximum possible energy must be invested in the medium being processed. In addition, the machine realizes vibrational technological processes, which are mostly non-linear. Therefore, the problem of resonance tuning becomes nontrivial. Secondly, it is the principle of using arising nonlinear dynamic effects. Since vibro-impact machines are always non-linear objects, for which a sufficiently diverse specificity is characteristic, developers should use the manifested dynamic effects to improve their quality. The third principle is resource-saving. Vibro-impact machines should be designed in such a way that the costs for any resources for their creation and operation are reduced to the required minimum. The article articulates the above and some other principles that allow to create machines that satisfy the condition of marginal utility. The formulated principles are closely interrelated. When they are implemented, the vibro-impact machine will be used with maximum benefit.