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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 geometry 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
obtained. 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.
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