Mechanism of Excitation of Natural Vibrations of Fireclay Products and Its Application in Flaw Detection

Using the development of a technique for the non-destructive testing of a fireclay product (“asterisks”) using the natural vibrations of the object under consideration as an example, this article presents a mathematical model that enables us to describe specifically the process of converting an external dynamic effect into the natural vibrations of the part. The model stands out because firstly, it is a carrier of the free energy of elastic deformation, and the natural oscillations are formed inside it. Secondly, the model represents a Riemannian space where all dynamic parameters are constant and reduced to zero, i.e., the model does not exist in the physical world, but only as a functional space. The proposed model can be used as an effective tool for analyzing the processes registered during non-destructive testing and vibration diagnostics.