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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 widespread use of perforated vibrating surfaces in various industries requires maximum productivity and
construction reliability. The research task is to determine the significant factors and their degree of influence on
the natural oscillations of vibrating surfaces with multiple holes of complex geometry. For this purpose, studies
were carried out for three samples of plates: non-perforated, with basic round holes and holes of complex geom-
etry in the form of a five-petal epicycloid. Studies of the natural oscillations of perforated vibrating surfaces have
been conducted using the finite element method in Abaqus, which has proved sufficient accuracy of calculations.
The dependencies of the natural oscillation frequency of perforated surface samples on their thickness, partition
width between the holes, material type, and fixing method have been obtained. In addition, the analysis involved
the study of eight modes of oscillation common in practice. The dependencies of the natural oscillation frequency
of perforated surface on the relative parameters of ligament efficiency and stiffness coefficient have also been ob-
tained. These parameters take into account the ratios of the partition width between the holes to the plate thickness
and the dimensions of the holes. The research results allow to obtain levels of influence of the perforated vibrating
surface parameters on their natural oscillations frequency. The obtained research results make it possible to further
determine the absence of damage between the holes and predict the durability of perforated vibration surfaces in
the presence of holes of complex geometry.
