Vol.25, No.3, 2025, pp. 471–478
https://doi.org/10.69644/ivk-2025-03-0471  

In this study, authors calculate the time periods for first two modes of vibration of orthotropic parallelogram plate having 1-D (one-dimensional) circular Poisson’s ratio at clamped edge condition. The authors use the assumption that the thickness valuation and temperature on the plate varies 1-D circular and bi-parabolic respectively. The frequency equation is solved using a variational method known as the Rayleigh-Ritz method. The time period of the modes of frequency is then determined from the solution of the frequency equation. A convergence study of orthotropic parallelogram is perceived at clamped edge conditions. The authors conduct a comparative review of the time period and modes of frequency of various plates, including parallelograms and rectangles, at various edge conditions with data that has been published in the literature. These days, the main aim of the researcher/scientist is to reduce the valuation in vibrational frequency of the plate so that structures made by these plates perform better, as large vibrational frequency directly affects the performance of the system. This motivates author to conduct this study. Our study demonstrates that using a variable (circular) Poisson’s ratio is a better choice than varying the density parameter because the time periods obtained during circular variation in Poisson’s ratio and variation in time periods and frequency modes are less than those obtained when using a circular variation in density parameter.

Keywords: • vibration • parallelogram plate • Poisson’s ratio • circular thickness • parabolic temperature