Geometrical Influence on Stability of FGM Beams under Vibration
S. N. Padhi1, K. S. Raghu Ram2, G. Bhavani3, K. Suresh4, V. V. K. Lakshmi5, T. Rout6

1Surya Narayan Padhi, Department of Mechanical Engg., Koneru Lakshmaiah Education Foundation, Guntur, India.
2K. S. Raghu Ram, Department of Mechanical Engg.,Vignan’s Institute of Information Technology, Visakhapatnam, India.
3G. Bhavani, Department of Mechanical Engg.,Vignan’s Institute of Information Technology, Visakhapatnam, India.
4K. Suresh, Department of Mechanical Engg, GIT, GITAM.
5V. V. K. Lakshmi, Department of Mechanical Engg, GIT, GITAM. 6Trilochan Rout, Department of Mechanical Engg., Parala Maharaja Engineering College, Berhampur, India.
Manuscript received on January 19, 2020. | Revised Manuscript received on January 30, 2020. | Manuscript published on February 10, 2020. | PP: 2027-2033 | Volume-9 Issue-4, February 2020. | Retrieval Number: B7836129219/2020©BEIESP | DOI: 10.35940/ijitee.B7836.029420
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Abstract: In this paper the influence of geometry on the stability of a functionally graded material rotating beam is reported. The equation of motion is formulated using Hamilton’s principle in association with finite element analyses. Floquet’s theory was used for establishing the stability boundaries. The properties of functionally graded ordinary (FGO) and functionally graded sandwich (FGSW) beams under consideration are assumed to be graded following either power law or exponential law across the thickness of the beam. The effect of geometry in terms of slenderness parameter on the dynamic stability of both FGO & FGSW beams have been investigated. The increase in slenderness parameter enhances the stability of both the FGO and FGSW beams. Further it has been observed that exponential distribution of properties ensures better stability compared to power law distribution of properties. 
Keywords: Power law, Exponential Distribution, FGO Beam, FGSW Beam, Slenderness Parameter, Stability.
Scope of the Article: Exact And Parameterized Computation