Effect of Fluid Structure Interaction on Vibration Analysis of Partially Cracked Functionally Graded Magneto-Electro-Elastic Cylindrical Shell

Purpose An analytical approach for vibration analysis of a functionally graded magneto-electro-elastic (MEE) submerged cylindrical shell containing an arbitrarily oriented surface crack is proposed in this article. Methods The constitutive relations considering the coupling effect of magnetic and electric field are considered to derive the equations of motion for cracked MEE shell based on principle of classical shell theory. The effect of fluidic medium is taken in form of fluid forces associated with its inertial effects. To introduce the effect of crack, line spring model (LSM) is used to formulate the crack terms in the governing equations. Further, the Donell-Mushtari-Vlasov (DMV) theory is applied for solving final governing equations to get the fundamental frequencies. Results The results for fundamental frequencies of the cracked and submerged functionally graded MEE cylindrical shell are evaluated with different values of gradient index, crack length and its orientation and shell's dimensions. Conclusion Based on the results of present work, it can be concluded that the shell's stiffness is severely affected by the presence of crack and the stiffness goes on decreasing with increase in crack length and its orientation, thereby affecting the fundamental frequency.