Vibration of Multi-Layer thick cylinders

The effect of visco-elastic core thickness on modal loss factors of a thick three-layer cylinder

“…The presented mathematical procedure in this chapter is based on the work discussed by Armenakas et al [11] for the free vibration case. Their technique was refined by Hamidzadeh and Sawaya [7] to develop an analytical approach for studying the free as well as forced vibrations for these structures. The presented mathematical procedure implements the linear elasto-dynamic theory and formulates displacements and stresses to satisfy the required boundary conditions for both cases of free and forced vibrations.…”

“…Considering the three-dimensional theory of elasticity and the relation between stresses and displacements for homogeneous and isotropic medium, the governing equation of motion as reported by Hamidzadeh and Sawaya [7] can be presented as…”

“…Nevertheless, due to its mathematical complexity, the sandwich cylinders with thick layers are so formidable that only approximate formulations for thick elastic layers were considered. These complexities were obviated in the work of Hamidzadeh and Sawaya [7] on free vibration of thick multi-layer cylinders where an analytical solution was reported for modal analysis of three-layered cylinders with constrained visco-elastic inner layer. Hamidzadeh and Jiang [8] considered a three-layer sandwiched cylinder and presented excellent comparison for their computed dimensionless frequencies with previously established results.…”