Semnan University Press Mechanics of Advanced Composite Structures 2423-4826 13 2 2026 11 01 Vibration Analysis of FGM Annular Plate with Linearly Varying Thickness for Several Boundary Conditions 475 494 10279 10.22075/macs.2025.37061.1812 EN Sumit Kumar Sharma Department of Mathematics, Jaypee Institute of Information Technology, Noida-201303, India Neha Ahlawat Department of Mathematics, Jaypee Institute of Information Technology, Noida-201303, India Journal Article 2025 03 05 The present article depicts the influence of linear thickness variation on the free axisymmetric vibration of functionally graded material annular plates. For this, three different types of boundary conditions have been taken into consideration. An ordinary differential equation of fourth order has been formulated using classical plate theory and Hamilton's principle. The differential transform method has been developed for the numerical solution of such a differential equation along with three boundary conditions. The obtained numerical results are reported and then analyzed by varying the various parameters, like volume fraction index of plate materials, radius ratio, and taper parameter. The comparative study has also been made to validate the obtained numerical results as well as the technique. It has been observed that natural frequencies drop as the volume fraction index rises. The frequency parameter usually increases with a smaller radius ratio. A decrease in the natural frequency value has been seen when the plate thickness increases. Moreover, the 3-D mode shapes for all the plates are also presented. https://macs.semnan.ac.ir/article_10279_4cefe7c7083cf416b7d3cf7bd5cb8153.pdf