Forecasting and diagnostics of critical states in platform-vibrator with shock

Abstract

A platform-vibrator with shock is a low-frequency machine used in the construction industry for compaction and molding of large concrete products. Its mathematical model is a two-degree-of-freedom two-body vibro-impact system with a soft impact. Some changes in its parameters can increase the machine performance and improve the product quality, but these same changes may lead to the emergence of critical states, such as coexisting regimes in hysteresis zone, chaotic motion, intermittency and crisis-induced intermittency, crises, and transient chaos. Some of them can be undesirable and dangerous. This article shows their diagnostics and recognition, the possibility of their prediction, as well as the criterion determining the set of parameter ranges where critical states can occur. Diagnostics is carried out both by traditional tools and by the less common ones, such as the construction of fractal structures and wavelet characteristics.