This paper shows the application of distributed-lumped (hybrid) modelling technique (DLMT) as proposed by Whalley, to investigate the frequency response of longitudinal vibration systems. 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 two-stage distributed-lumped-distributed parameter model which is used to predict the frequency response of rotating systems is employed. It is shown that DLMT predictions agree well with the analytical results.