Abstract
In the present study, free vibration analysis of porous functionally graded material (FGM) circular arches has been performed using finite element methodology. The present mathematical model is formed on the higher-order shear deformation theory (HSDT). The mechanical properties of the functionally graded material arches are varying along the thickness direction. The effective mechanical properties of FGM are defined by a modified power law in terms of volume fractions of its constituents. Two distributions of porosity are considered, viz., even and uneven porosity distributions. Convergence and a comparative study have been executed to verify the present formulation. The effect of various influencing parameters, viz., volume fraction index, temperature change, porosity index, and thickness to length ratio, with both distributions of porosity (even and uneven porosity distributions), on the frequency parameter of the arch have been studied.
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Acknowledgements
The authors would like to acknowledge the financial support provided by the Science and Engineering Research Board, Department of Science and Technology (SERB-DST), Government of India to carry out this research. Project number-YSS/2015/001290, Dated-09th NOV 2015.
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Amir, M., Talha, M. (2020). Free Vibration Analysis of the Functionally Graded Porous Circular Arches in the Thermal Environment. In: Singh, B., Roy, A., Maiti, D. (eds) Recent Advances in Theoretical, Applied, Computational and Experimental Mechanics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-1189-9_16
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DOI: https://doi.org/10.1007/978-981-15-1189-9_16
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