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The authors acknowledge the financial support of the National Science Centre in Krakow to the research project funded in the „POLONEZ BIS 2» call No. 2022/45/P/ST8/02312 entitled Numerical-experimental analysis of a sieve holes’ shape and arrangement effect on the degree. POLONEZ BIS is operated by the Centre on the basis of the Grant Agreement No. 945339 concluded with the European Research Executive Agency.
The use of vibrational perforated sifting surfaces with holes of complex geometry provides intensive separation
of loose materials by particle size and increases the technological efficiency of separating equipment. The lack of
research methodologies and data on the oscillations of such perforated surfaces limits their application in prac-
tice, requires reliability studies and the derivation of appropriate patterns. The reliability analysis was conducted
by studying the natural oscillation frequencies of perforated surfaces and checking for the absence of resonance
phenomena. For the research, the methodology is based on numerical finite element methods in Abaqus_CAD
and allows analyzing the natural oscillations of the structure when its structural parameters and boundary condi-
tions are varied. To study the level of influence of the design of epicycloidal holes on the natural oscillations of
perforated sifting surface, the identification of their values for round, epicycloidal (with a modulus of 5, 7 and 9)
hole shapes was carried out. Patterns of variation in the natural oscillation frequencies of perforated surfaces are
obtained depending on significant factors: surface thickness, hole spacing and epicycloid modulus. In addition, the
analysis involved studying eight common modes of oscillation encountered in practice. The results were a research
methodology, mathematical expressions for simplified calculation and analysis, patterns of oscillation changes of
perforated sifting surfaces with holes of complex geometry. Studies enable the prediction of resonance phenomena
and damage between the holes of perforated sifting surfaces, the absence of which determines their reliability.
