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Sharma, Sumit Kumar, Ahlawat, Neha. (1405). Vibration Analysis of FGM Annular Plate with Linearly Varying Thickness for Several Boundary Conditions. هنرهای کاربردی, 13(2), 475-494. doi: 10.22075/macs.2025.37061.1812
Sumit Kumar Sharma; Neha Ahlawat. "Vibration Analysis of FGM Annular Plate with Linearly Varying Thickness for Several Boundary Conditions". هنرهای کاربردی, 13, 2, 1405, 475-494. doi: 10.22075/macs.2025.37061.1812
Sharma, Sumit Kumar, Ahlawat, Neha. (1405). 'Vibration Analysis of FGM Annular Plate with Linearly Varying Thickness for Several Boundary Conditions', هنرهای کاربردی, 13(2), pp. 475-494. doi: 10.22075/macs.2025.37061.1812
Sharma, Sumit Kumar, Ahlawat, Neha. Vibration Analysis of FGM Annular Plate with Linearly Varying Thickness for Several Boundary Conditions. هنرهای کاربردی, 1405; 13(2): 475-494. doi: 10.22075/macs.2025.37061.1812

Vibration Analysis of FGM Annular Plate with Linearly Varying Thickness for Several Boundary Conditions

Mechanics of Advanced Composite Structures
دوره 13، شماره 2 - شماره پیاپی 28، بهمن 2026، صفحه 475-494    اصل مقاله (1.6 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22075/macs.2025.37061.1812
نویسندگان
Sumit Kumar Sharma؛ Neha Ahlawat*
Department of Mathematics, Jaypee Institute of Information Technology, Noida-201303, India
تاریخ دریافت: 15 اسفند 1403،  تاریخ بازنگری: 11 شهریور 1404،  تاریخ پذیرش: 04 آذر 1404 
چکیده
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.
کلیدواژه‌ها
FGM؛ Variable thickness؛ Annular plate؛ Axisymmetric vibration؛ DTM
مراجع
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