Abstract
The velocity dispersion of the Young's modulus mode in a number of finite cylindrical fused silica, aluminum, steel, and brass rods was determined. Their velocity dispersion is shown to agree extremely well with that calculated from the Pochhammer-Chree theory for infinite rods of the same materials over the range of Ω values from 0 to 2.6, where Ω=ωa/cs, a is the bar radius, and cs is the shear-wave velocity. Small differences between the experimental and theoretical velocity dispersion occur when Ω exceeds 2.6; this is attributed to the occurrence of a phase shift when the L(0,1) mode is reflected from the endfaces of a rod. For every rod a few harmonics have been found to occur that do not lie on a smooth graph of frequency versus harmonic number. They may be displaced in frequency, or replaced by several resonances lying close together in frequency. This phenomenon occurs at specific values of Ω, which are associated with an end resonance and the higher-order symmetric modes.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
