vibration analysis of functionally graded beam by using finite element method
Sudhanwa Kulkarni,Mandar Chikate
Published in International Journal of Advanced Research in Civil,Structural,Environmental and Infrastructure Engineering and Developing
ISSN: 2320-723X Impact Factor:1.7 Volume:1 Issue:1 Year: 08 March,2013 Pages:1-4
Abstract
The dynamic characteristics of functionally graded beam in which material properties changes either in an axial direction or along the thickness of beam following a simple power law are studied. The system of equations of motion is consequent by using the Lagrange’s principle under the assumptions of the Euler– Bernoulli beam theory. Resulting system of ordinary differential equations of free vibration analysis are solved using an analytical method. The finite element method is employed to discretize the model and obtain a numerical approximation of the motion equation. The model has verified with the previously published works and found a good conformity with them. Numerical results are presented in tabular form to figure out the effects of different material distribution and boundary conditions on the dynamic characteristics of the beam.
Kewords
FGMs,Lagrange
Reference
1) B.V. Sankar, An elasticity solution for functionally graded beams, Compos. Sci. Technol. 61 (2001) 689–696. 2) Amal E. Alshorbagy, M.A. Eltaher , F.F. Mahmoud, Free vibration characteristics of functionally graded beam by finite element method that Applied mathematical modelling 35 (2011) 412-425
