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Doctoral Thesis | Mathematics | India | Volume 12 Issue 11, November 2023
Analyzing the Impact of Non-Homogeneity on the Vibrational Dynamics of Orthotropic Visco-Elastic Rectangular Plates with Linearly Varying Thickness
Abstract: This study delves into the vibrational behavior of orthotropic visco-elastic rectangular plates with linearly varying thickness, particularly under the influence of non-homogeneity. This aspect has gained significance due to its implications in high-temperature scenarios, such as those encountered by hypersonic vehicles. The research employs Galerkins technique to solve the fourth-order partial differential equation of motion, considering small deflection and linear visco-elastic properties. The study focuses on the effect of non-homogeneity parameters on the deflection, time period, and logarithmic decrement of the plates vibration in various modes. It reveals a correlation between the non-homogeneity parameters, taper constant, and aspect ratio with the vibrational characteristics of the plate, presenting a comprehensive understanding of these dynamics.
Keywords: Orthotropic Visco-Elastic Plates, Non-Homogeneity, Vibrational Dynamics, Galerkins Technique, Linearly Varying Thickness
Edition: Volume 12 Issue 11, November 2023,
Pages: 2026 - 2034