Optimization of Vibrational Frequencies for Orthotropic Parallelogram Plates With Circular Variations in Tapering at Simply Supported Boundary
摘要
In this paper, authors investigated the vibrational characteristics of an orthotropic and nonhomogeneous parallelogram plate. The plate exhibits circular thickness variation in two dimensions and linear density variation in one dimension at simply supported boundary. Additionally, a two-dimensional linear temperature distribution is assumed across the plate. To solve the governing equation and determine the vibrational modes, the Rayleigh-Ritz technique is employed. Comparative analysis is conducted to validate the accuracy and reliability of the obtained frequency modes for orthotropic parallelogram plates. The study aims to provide numerical data that demonstrate how circular variation in tapering parameters of plate can effectively control and optimized vibrational frequencies, ultimately improving the performance of orthotropic parallelogram plates for specific applications.