Nonlinear vibration analysis of a composite cylindrical shell resting on a viscoelastic foundation and subjected to a moving pressure load

In this paper, nonlinear vibration analysis for an orthotropic composite material thin cylindrical shell on the viscoelastic foundation and under internal moving ring type pressure load has been investigated. In this regard, using Sanders thin shell theory along with considering shear deformation and rotary inertia, kinematic relations for the strain-displacements relations with simplifications are rewritten and the resultants components of edgewise normal forces, bending moments and lateral shear force with respect to the membrane and bending strains considering relations for extensional, coupled bending-extensional and lateral shear stiffness matrices are extracted. Then, governing coupled partial differential equations for edgewise normal forces, bending moments and lateral shear forces in axial, radial and circumferential directions under internal moving pressure load are derived. Applying Galerkin method and using assumed mode summation technique for the shell with simply-supported end boundary conditions, an analytical solution for dynamic modal response are obtained. Using a computer code written in the environment of MATLAB mathematical software, modal response for laminated composite cylindrical shell are calculated. The validity of the obtained results is conducted with comparing with the ones in the literature. The effect of variation of different geometrical parameters including radius and thickness of the shell, speed of internal pressure load and types of lay-up of laminates on the dynamic deflection response of the shell are all investigated.