Vibration analysis of functionally graded cylindrical shells with different boundary conditions subjected to thermal loads

Talebitooti, M.; Ghasemi, M.; Hosseini, S. M.

doi:10.22061/jcarme.2017.602

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	Vibration analysis of functionally graded cylindrical shells with different boundary conditions subjected to thermal loads
Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 11، دوره 6، شماره 2 - شماره پیاپی 12، فروردین 2017، صفحه 103-114 اصل مقاله (671.86 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2017.602
نویسندگان
M. Talebitooti^* ؛ M. Ghasemi؛ S. M. Hosseini
Department of Mechanical Engineering, Qom University of Technology, Qom, 1519-37195, Iran
تاریخ دریافت: 13 آبان 1394، تاریخ بازنگری: 29 دی 1395، تاریخ پذیرش: 13 بهمن 1395
چکیده
In the present work, study of the vibration of a functionally graded (FG) cylindrical shell made up of stainless steel, zirconia, and nickel is presented. Free vibration analysis is presented for FG cylindrical shells with simply supported-simply supported and clamped–clamped boundary condition based on temperature independent material properties. The equations of motion are derived by Hamilton’s principle. Material properties assume to be graded in the thickness direction according to a simple power law distribution in terms of the volume fraction of the constituents. Effects of boundary conditions and volume fractions (power law exponent) on the natural frequencies of the FG cylindrical shell are studied. Frequency characteristics of the FG shell are found to be similar to those of isotropic cylindrical shells. Furthermore, natural frequencies of these shells are observed to be dependent on the constituent volume fractions and boundary conditions. Strain displacement relations from Love's and first-order shear deformation theories are employed. Galerkin method is used to derive the governing equations for clamped boundary conditions. Further, analytical results are validated with those reported in the literature and excellent agreement is observed. Finally, in order to investigate the effects of the temperature gradient, functionally graded materials cylindrical shell with high temperature specified on the inner surface and outer surface at ambient temperature,1D heat conduction equation along the thickness of the shell is applied and the results are reported.
کلیدواژه‌ها
Functionally graded materials؛ Cylindrical shells؛ Natural frequency؛ First-order shear deformation theory (FSDT)؛ Thermal load

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Vibration analysis of functionally graded cylindrical shells with different boundary conditions subjected to thermal loads