Orthotropic Square Plates with Circular Variations in Tapering and Nonhomogeneity

This research paper focuses on analyzing the vibrational frequency characteristics of a square plate that is orthotropic and non-homogeneous. The plate has a circular variation in thickness in two dimensions and circular variation in density in one dimension at the clamped boundary. The temperature distribution across the plate is assumed to follow a two-dimensional parabolic pattern. The Rayleigh-Ritz technique is used to solve the governing equation and determine the vibrational modes. Convergence analysis is performed to ensure the accuracy and reliability of the obtained frequency modes for orthotropic square plates. The objective of this study is to provide numerical data that illustrate how the manipulation of plate parameters and design can control the vibrational frequencies, thereby enhancing the performance of orthotropic square plates for specific applications.