Vibration analysis of curved composite sandwich beams with viscoelastic core by using differential quadrature method

This thesis focuses on the vibration analysis of three-layered curved sandwich beams with elastic face layers and viscoelastic core. First, the equations of motion that govern the free vibrations of the curved beams together with the boundary conditions are derived by using the principle of virtual work, in the cylindirical and curvilinear cartesien coordinate system, in the most general form. Then, these equations are solved by using the generalized differential quadrature (GDQ) method in the frequency domain. Verification of the proposed beam model and the GDQ solution are carried out via comparison with the results that already exist in literature and the ANSYS finite element solution combined with the modal strain energy (MSE) method. The effect of system parameters, i.e. layer thicknesses, the lamination angle of layers and the curvature on the vibration and damping characteristics of a curved sandwich beam with laminated composite face layers and a frequency dependent viscoelastic core is investigated in detail in the cylindirical and curvilinear cartesien coordinate system.