Torsional frequencies and mode shapes of generally constrained shafts and piping
Abstract
In this note, exact frequency and normal mode expressions are derived for the free torsional vibrations of circular shafts or piping systems constrained by unsymmetrical torsional springs and carrying unequal rotational masses at either end. For use in design, extensive tables of natural torsional frequency and mode shape parameters are provided for a wide range of values of torsional spring and rotational mass parameters.
- Publication:
-
Journal of Sound Vibration
- Pub Date:
- August 1988
- DOI:
- 10.1016/0022-460X(88)90419-1
- Bibcode:
- 1988JSV...125..115K