Vibration analysis of bi-layered FGM cylindrical shells |
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Authors: | Shahid Hussain Arshad Muhammad Nawaz Naeem Nazra Sultana Abdul Ghafar Shah Zafar Iqbal |
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Institution: | 1.Department of Mathematics,University of Sargodha,Sargodha,Pakistan;2.Department of Mathematics,G C University Faisalabad,Faisalabad,Pakistan;3.Department of Mathematics,The Islamia University of Bahawalpur,Bahawalpur,Pakistan |
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Abstract: | In the present study, a vibration frequency analysis of a bi-layered cylindrical shell composed of two independent functionally
graded layers is presented. The thickness of the shell layers is assumed to be equal and constant. Material properties of
the constituents of bi-layered functionally graded cylindrical shell are assumed to vary smoothly and continuously through
the thickness of the layers of the shell and are controlled by volume fraction power law distribution. The expressions for
strain–displacement and curvature–displacement relationships are utilized from Love’s first approximation linear thin shell
theory. The versatile Rayleigh–Ritz approach is employed to formulate the frequency equations in the form of eigenvalue problem.
Influence of material distribution in the two functionally graded layers of the cylindrical shells is investigated on shell
natural frequencies for various shell parameters with simply supported end conditions. To check the validity, accuracy and
efficiency of the present methodology, results obtained are compared with those available in the literature. |
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