Torsional Waves in Uniform Rods of non-Circular Section
- 1 June 1962
- journal article
- research article
- Published by SAGE Publications in Journal of Mechanical Engineering Science
- Vol. 4 (2) , 127-135
- https://doi.org/10.1243/jmes_jour_1962_004_019_02
Abstract
A differential equation for the torsional vibration of a uniform rod of non-circular section is derived which takes into account the longitudinal stress and inertia which arise from the warping of the cross-section. The boundary conditions relevant to the problem are also obtained. Curves showing the dispersion of torsional waves in rods of rectangular section as predicted by this theory are given and a comparison is made with the results of more simple torsion theories which either neglect the longitudinal stress and inertia effects or which take account of only one or other of them. Experimental resonance tests on rods of rectangular section for various side ratios are used as a basis of comparison with the theory for relatively long wavelengths and good agreement is found.Keywords
This publication has 11 references indexed in Scilit:
- Vibrations of Pre-Twisted Cantilever BladingProceedings of the Institution of Mechanical Engineers, 1959
- Torsional vibrational experiments on rectangular concrete beamsBritish Journal of Applied Physics, 1959
- The fundamental modes of vibration of uniform beams for medium wavelengthsBritish Journal of Applied Physics, 1957
- Note on Torsion With Variable TwistJournal of Applied Mechanics, 1956
- Torsional Vibrations of Beams of Thin-Walled Open SectionJournal of Applied Mechanics, 1954
- On Non‐Uniform Torsion of Cylindrical RodsJournal of Mathematics and Physics, 1952
- The Velocity of Longitudinal Waves in Cylindrical BarsPhysical Review B, 1941
- The Dispersion of Supersonic Waves in Cylindrical Rods of Polycrystalline Silver, Nickel, and MagnesiumPhysical Review B, 1940
- XXIX.The frequency of longitudinal and torsional vibration of unloaded and loaded barsJournal of Computers in Education, 1938
- LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic barsJournal of Computers in Education, 1921