Hamid R Hamidzadeh
Tennessee State University, USA
Title: Modal vibration analysis of thick visco-elastic annular cylinders
Biography
Biography: Hamid R Hamidzadeh
Abstract
Modal vibration analysis for thick visco-elastic annular cylinders of infi nite extent is considered. Th e cylinder is excited by boundary stresses at the inner and outer surfaces. Th e governing equation of motion is developed by utilizing the three-dimensional theory of elastodynamics. Material damping is allowed using complex elastic moduli for the viscoelastic medium. Modal displacements and stresses at any point in the medium are formulated in terms of boundary stresses. Frequency responses for radial, tangential and axial displacements are computed for diff erent circumferential and axial wave numbers. Th e eff ect of diff erent material loss factors on the frequency responses is examined for axial and non-axisymmetric modes. Th e dimensionless resonant frequencies for elastic medium (no material damping) are compared with dimensionless natural
frequencies available for elastic material. Th e comparison indicates excellent agreement between these results.