INVESTIGATION OF THE DYNAMIC BEHAVIOR OF FUNCTIONALLY GRADED MATERIAL UNDER DIFFERENT BOUNDARY CONDITIONS USING THE EULER-BERNOULLI THEORY

The technological advances in the engineering field require materials with improved mechanical properties. In material science, one of such ground breaking technologies is the functionally graded material (FGM). In order to use these materials for practical applications it is necessary to gain a better understanding of their behavior. In the present work, the dynamic behavior of the FGM under different boundary conditions with material variation along the axial direction with respect to power exponent is investigated using two-dimensional finite element simulation. The modal parameters are reported for each boundary condition. The frequency function of the FGM structure response to different loadings is also reported. The parametric study is carried out to observe the effect of power exponent on the modal parameters. It has been observed that an increase in the power exponent results in a decrease in the value of the fundamental natural frequency. This provides a means of controlling the natural frequency of structure for avoiding resonance.