Dynamic analysis of harmonically excited non-linear structure system usingharmonic balance method

An analytical method is presented for evaluation of the steady state period ic behavior of nonlinear structural systems. This method is based on the su bstructure synthesis formulation and a harmonic balance procedure, which is applied to the analysis of nonlinear responses. A complex nonlinear system is divided into substructures, of which equations are approximately transf ormed to modal coordinates including nonlinear term under the reasonable pr ocedure. Then, the equations are synthesized into the overall system and th e nonlinear solution for the system is obtained. Based on the harmonic bala nce method, the proposed procedure reduces the size of large degrees-of-fre edom problem in the solving nonlinear equations. Feasibility and advantages of the proposed method are illustrated using the study of the nonlinear ro tating machine system as a large mechanical structure system. Results obtai ned are reported to be an efficient approach with respect to nonlinear resp onse prediction when compared with other conventional methods.