By Neville F. Rieger
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Extra info for Rotordynamics 2: Problems in Turbomachinery
In the following years many researchers extended it for more complicated models. Even today most industrial computer programs are based on this method. C. A. Leckie /17/. The user must know, that numerical difficulties are possible, which are discussed in /18/. By the transfer method displacements and forces of one end of the system are transfered by matrices to the other end. The solution is determined by the boundary conditions of the two ends. All intermediate conditions are considered during the transfer procedure.
At high eccentricities the bearing is stiff in radial direction and rather elastic in tangential direction. Roughly the stiffness is in the order of Fs/o. 3 is not only valid for circular bore but also for other cross-sections. Furthermore partial fil~ areas are possible. Special bearing types with different geometry and also with flexible pads are used with respect to E. Kramer 36 stability, load capacity, fricton losses and other demands. 15 a ... g. a ~ d Fig. 15 Some special bearing types a b c d e f g Short arc bearing Lemon bearing Pocket bearing Three-lobed bearing Special three-lobed bearing Tilting-pad bearing Tilting-pad bearing for vertical shaft Bearing Properties 37 For bearings with arbitrary cross section and cylindrical bore T.
This will be done step by step in the following chapters. 12 which has two flexible bearings with stiffness kB 1 ' kB 2 in horizontal and vertical direction. Denoting the stiffness of 52 E. Kramer Fig. 12 Jeffcott Rotor with flexible bearings rigidly supported rotor by kR the new system has the stiffnesses 2kRkBi ki = . -kR.. ;2k;;.. 4). 22) = 1, 2 where o=d/2m ace. 7). ) 21-1/2 y. n. 1 1 tan £i = -:----2 1-n·1 Yo2 = ni = i:2 n W. m 1 = 1, 2 . 53 Analysis of Rotors in Bearings 2 Fig. 13 Orbit of shaft center in case of unbalance excitation.