Propagation of Longitudinal Waves and Shear Waves in Cylindrical Rods at High Frequencies

Abstract

Exact steady-state solutions for both longitudinal waves and shear waves traveling in isotropic rods of circular cross section are analyzed. Numerical examples are described for rods of large diameter to wavelength ratio. The effect of mode conversion on the propagation of short duration longitudinal wave trains is considered; and an approximate expression for the resulting loss is developed. Experimental results for 10–25 Mc/sec longitudinal and shear waves in fused silica rods of 1.13 cm radius are described.