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.
Highlights
Composite materials are widely used in petroleum, chemical industry etc., due to the high stiffness and strength
Iqbal et al [32] applied Love’s thin shell theory to study the vibration of a Functionally Graded Material (FGM) circular cylindrical shell filled with fluid and the fluid was an incompressible non-viscous fluid
A dynamic stiffness method was studied by Tran and Manh [35] to investigate the free vibration of cross-ply laminated composite circular cylindrical shells filled with fluid partially and complete filling with fluid under clamped-free boundary conditions
Summary
Composite materials are widely used in petroleum, chemical industry etc., due to the high stiffness and strength. Iqbal et al [32] applied Love’s thin shell theory to study the vibration of a Functionally Graded Material (FGM) circular cylindrical shell filled with fluid and the fluid was an incompressible non-viscous fluid. A dynamic stiffness method was studied by Tran and Manh [35] to investigate the free vibration of cross-ply laminated composite circular cylindrical shells filled with fluid partially and complete filling with fluid under clamped-free boundary conditions. Spline method was applied to solve the free vibration of layered cylindrical shell filled with fluid using Love’s thin shell theory [36]. Nurul Izyan et al [37] applied the spline method in their analysis to determine the frequencies of anti-symmetric angle-ply laminated composite cylindrical shell filled with fluid. Stress and moment resultants are expressed as ðNx; Ny; Nxy; Qx; QyÞ 1⁄4 ðsx; sy; txy; txz; tyzÞdz; z ð4Þ ðMx; My; MxyÞ 1⁄4 ðsx; sy; txyÞzdz: Using stress-strain relations and strain-displacement relations of the k-th layer by neglecting the transverse normal strain and stress, the stress and moment resultants are obtained as follows
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