Distributed-lumped analysis for bending critical speeds

This paper shows the application of distributed-lumped modeling technique (DLMT), to investigates the natural whirling frequency of multi-mass rotating shaft, modeled as a series of inter connected distributed and lumped element. The solution is simple and is computationally attractive when compare with equivalent analytical approaches. To illustrate versatility one worked example, taken from widely employed industrial applications, is presented. A general one–stage distributed-lumped parameter model which is used to predict the whirling speed of the cantilever shafts is employed. It is shown that DLMT predictions agree well with the analytical results.