Vibration of symmetrically layered angle-ply cylindrical shells filled with fluid

Abstract

Vibrational behaviour of symmetric angle-ply layered circular cylindrical shell filled with quiescent fluid is presented. The equations of motion of cylindrical shell in terms of stress and moment resultants are derived from the first order shear deformation theory. Irrotational of inviscid fluid are expressed as the wave equation. These two equations are coupled. Strain-displacement relations and stress-strain relations are adopted into the equations of motion to obtain the differential equations with displacements and rotational functions. A system of ordinary differential equation is obtained in one variable by assuming the functions in separable form. Spline of order three is applied to approximate the displacement and rotational functions, together with boundary conditions, to get a generalised eigenvalue problem. The eigenvalue problem is solved for eigen frequency parameter and associate eigenvectors of spline coefficients. The study of frequency parameters are analysed using the parameters the thickness ratio, length ratio, angle-ply, properties of material and number of layers under different boundary conditions.

Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study

“…e impact of material composition, edge condition, thermal loading, and geometrical parameters of shells on the thermal buckling conduct of FGM structures was also examined. Daud and Viswanathan [12] introduced the vibrational conduct of the symmetric angle-ply layered circular cylindrical shell filled by calm fluid.…”

“…In order to observe the interferential pattern of the vibrational shell, they developed the stroboscopic holographic interferometry technique. Mat Daud and Viswanathan [12] presented the vibrational behavior of the symmetric angle-ply layered circular shell filled with quiescent fluid. ey derived the equation of motion from the first-order shear deformation theory and stated the wave equation.…”