Fig. 1 shows the finite element model of the rotor with beam elements. The rotor dynamic code provided with [20] based on beam finite element model is used to analyze the system. The model consists of 22 Timoshenko beam elements. The turbine disk is modeled
using two large beams with the density of zero. A concentrated mass is used to model the turbine’s inertial properties. The inertial properties of turbine are exactly those modeled in the 3D finite element model. The compressor disk is modeled using two mass less beams and a concentrated mass with inertial properties equals to those modeled in the 3D finite element model. Two springs are
used to model the bearings. Because in the modal test, the system is hanged with two bungees with low stiffness to simulate free–free boundary conditions, the values of the stiffness of the bearings in the modal analysis of the Fig. 4. Measurement points in modal test. Fig. 5. Mode shape 1 (beam model).
4 M.H. Jalali et al. / Measurement 53 (2014) 1–9 rotor at rest are set to very low values. However, for the dynamic analysis of the rotor at operating speeds, the springs are modeled as very stiff elastic constraints. Every node used in the system has 4 of freedom. These include translations in the nodal directions and rotations about nodal axes. Table 1 shows the mechanical and geometric
properties of the elements and Table 2 indicates the characteristics of the concentrated masses.