Vibration Analysis of Functionally Graded Engesser- Timoshenko Beams Subjected to Axial Load Located on a Continuous Elastic Foundation

This paper studies free vibration of functionally
graded beams Subjected to Axial Load that is simply supported at
both ends lies on a continuous elastic foundation. The displacement
field of beam is assumed based on Engesser-Timoshenko beam
theory. The Young's modulus of beam is assumed to be graded
continuously across the beam thickness. Applying the Hamilton's
principle, the governing equation is established. Resulting equation is
solved using the Euler's Equation. The effects of the constituent
volume fractions and foundation coefficient on the vibration
frequency are presented. To investigate the accuracy of the present
analysis, a compression study is carried out with a known data.

• M. Karami Khorramabadi
• A. R. Nezamabadi

• Functionally Graded Beam
• Free Vibration
• Elastic Foundation
• Engesser-Timoshenko Beam Theory.

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