Effect of the Size and Total Number of Holes On the Vibration Beheviour of the Non-Homogeneous Perforated Beam Structures

Abstract

This research is capable of analysing the vibration behaviour of perforated structures featuring periodic square perforations and axially functionally graded materials with sliding-end boundary conditions. Here the objective is to understand how the size of holes and the total perforation affect the natural frequency of this perforated structures. Here, it is seen that by varying the hole size, the perforated structure gradually transforms into a solid structure. Due to the perforation present in the structures, the associated material properties are modified to represent the periodic perforations. The Galerkin method is utilized to handle the vibration behaviour. The reliability of the present study is confirmed through convergence analysis and comparisons with existing results reported in the literature. Numerical findings reveal that the vibration behaviour is strongly influenced by the filling ratio, the dimensions of the holes, and the total number of perforations for the sliding-end boundary case.