Bifurcation and chaos in geared rotor bearing system by incremental harmonic balance method

The periodic motions of a non-linear geared rotor-bearing system are invest igated by the incremental harmonic balance (IHB) method. A path following p rocedure using are length continuation technique is used to trace the bifur cation diagrams. The system exhibits a period doubling route and a quasiper iodic route to chaos in different regions of excitation frequency. The chao tic motions are investigated by numerical integration and the Lyapunov expo nents are computed. The periodic solutions and subharmonic solutions obtain ed by the IHB method compare very well with those obtained by numerical int egration. (C) 1999 Academic Press.