25] studied torsional wave
propagation in an earth's crustal layer under the influence of imperfect interface.
Over 100 papers discuss such topics as designing a real-time autofocusing system for a collimator with a long focus length and large aperture, chance constrained model predictive control based on set-valued optimal algorithms, applying virtual prototyping technology in the design of a drive axle, the hydrodynamic forces of torsional wave
propulsion by extended large-amplitude elongated-body theory, the power supply system of embedded portable devices, and numerical analysis in the residual stress test of welded joints for a wind-driven generator.
The wave is composed of 1) a torsional wave and 2) a longitudinal wave.
Torsional waves are excited by tone-burst signals generated from the signal generator which is integrated into the instrument.
Both, low frequency longitudinal wave mode L(0,2)  and torsional wave
mode T(0,1)  have been found to be good candidates for such testing as their wave fields allow to achieve 100% pipe wall inspection coverage and due to non-dispersive nature their wave pulses can propagate long distances.
where C is torsional wave velocity in the bars, [D.
1] is the distance between the torque pulley and the clamp and C is torsional wave velocity in the incident bar.
As the earth's crust and mantle are not homogeneous, it is desirable to have information about torsional wave
propagation in an inhomogeneous medium.
9] examined Gazis theory and clarified the modes of wave propagation, differentiating certain flexural and torsional wave
Korobeynikova, 'Application of the rod and torsional waves
for testing the extended objects of oil extracting industry', ndt for safety, pp.
Additionally, multi-mode technology, simultaneously using longitudinal and torsional waves
, is being introduced to add a higher degree of accuracy.
(through an infinite cylinder) propagate with one constant phase velocity equal to the shear (or transverse) speed: