A RAYLEIGH-TYPE INCLUSION OF SHAFT INERTIA IN TORSIONAL VIBRATION ANALYSIS

This paper considers the problem of properly accounting for the shafti ng inertia in torsional vibration analysis. If begins with a brief rev iew of the two well-established methods: (1) arbitrarily lumping the s haft inertia with that of the disks, and (2) the continuum model, whic h considers both the flexibility and the inertia as distributed proper ties. Comments regarding the advantages and disadvantages of each pre offered as motivation for the new method to be presented here. The new approach is then developed, using a Rayleigh-type approximation for t he displacement between stations, with the fun theory underlying it. T he results of all three methods are then compared by application to se veral test cases.