**Streszczenie**

The method of studying the process of vibroseparation or adhesion of friable media has been developed. The analytical solution of this mathematical model of the researched system for resonance and nonresonance cases was constructed. It is established that the relative amount of friable medium motion greatly affects the quantitative and qualitative parameters of the system oscillations, in particular, the increase in the amount of motion of a friable media causes a decrease in the amplitude of the system in the transition through the resonance.

**Słowa kluczowe:**

*friable media, adhesion, separation, sieve, transverse perturbation of motion.*

**Abstract**

Opracowano metodę badania procesu separacji wibracyjnej oraz przyczepności materiałów sypkich. Zbudowano model matematyczny badanego systemu dla przypadków występowania rezonansu i jego braku. Ustalono, że wielkość przesunięcia względnego materiału sypkiego znacznie wpływa na parametry ilościowe i jakościowe oscylacji systemu, w szczególności zwiekszenie przesunięcia materiału sypkiego powoduje zmniejszenie amplitudy systemu podczas przejścia przez rezonans.

**Keywords:**

*materiał sypki, przyczepność, separacja, sito, poprzeczne zaburzenie ruchu.*

Methods of vibration treatment, vibration transporting, separation, adhesion, and hence the corresponding machines and equipment have been widely used in various industries [1-4]. Their implementation contributes to the intensification of various production processes, increases the level of mechanization of labor-intensive work, increases economic efficiency and productivity. With an increase in the intensity of production, the scope of application of vibrating machines expands, and new ones are created for various technological operations [1,4,5]. This is due to the simplicity of their designs, and in many cases, higher performance than that of conventional machines. Especially effective application of vibration equipment is in the chain of technological processes, which are associated with the processing of various friable mixtures, their dosage, mixing, separation, sealing, etc. [6,7]. In this case, along with the intensification of technological processes during the vibrational impact on the material, the quality of the final product improves: due to constant vibration, a high degree of separation of the mixture by its physical, mechanical or other properties is achieved. Despite the significant progress in the creation of a new and modernization of existing vibration equipment, theoretical studies related to the vibrational processes of friable media - sieve have not been properly developed due to the lack of satisfactory methods for analyzing these complex dynamic processes [8,9]. Above mentioned, on the one hand, led to the intensive introduction of vibration processes into production, on the other hand - it requires to change the basic dynamic characteristics of the working containers, and on this - the dynamics of the friable media, that is, using vibration machines of a controlled type [1,5,8,10-13]. For them, as a rule, there is no transition via the resonances of individual units and the machine as a whole, whi [...]

## Prenumerata

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