Shaft-hub press fit subjected to couples and radial forces: analytical evaluation of the shaft-hub detachment loading

This paper concerns the propagation of Rayleigh waves in compressible prestressed elastic half-spaces.The main aim is to derive formulas for the H/V ratio (ellipticity), which is the ratio of the amplitude of the horizontal displacement to the amplitude of the vertical displacement of Rayleigh waves.First, the equation for the H/V ratio is obtained using the secular equation and the relation between the H/V ratio and the Rayleigh wave velocity.Then, formulas for the H/V ratio are derived for a general strainenergy function.They are then specified for some strain-energy functions.Since the H/V ratio is a good tool for nondestructively evaluating the prestresses of structures before and during loading, the obtained formulas will be very useful in practical applications.